%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO500_8.005 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 08:47:02 EDT 2024

% Result   : Theorem 0.14s 0.54s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  474 (   7 unt;  24 typ;   0 def)
%            Number of atoms       : 14186 (   0 equ)
%            Maximal formula atoms : 3071 (  31 avg)
%            Number of connectives : 20821 (7085   ~;9745   |;3957   &)
%                                         (  34 <=>;   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  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   26 (  24 usr;  21 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,
    epred1_0: $o ).

tff(decl_29,type,
    epred2_0: $o ).

tff(decl_30,type,
    epred3_0: $o ).

tff(decl_31,type,
    epred4_0: $o ).

tff(decl_32,type,
    epred5_0: $o ).

tff(decl_33,type,
    epred6_0: $o ).

tff(decl_34,type,
    epred7_0: $o ).

tff(decl_35,type,
    epred8_0: $o ).

tff(decl_36,type,
    epred9_0: $o ).

tff(decl_37,type,
    epred10_0: $o ).

tff(decl_38,type,
    epred11_0: $o ).

tff(decl_39,type,
    epred12_0: $o ).

tff(decl_40,type,
    epred13_0: $o ).

tff(decl_41,type,
    epred14_0: $o ).

tff(decl_42,type,
    epred15_0: $o ).

tff(decl_43,type,
    epred16_0: $o ).

tff(decl_44,type,
    epred17_0: $o ).

tff(decl_45,type,
    epred18_0: $o ).

fof(kaminski5,conjecture,
    ( f0(f1(f1(f1(f2(f3(f3(f3(f4(x)))))))))
  <=> f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski5) ).

fof(c_0_1,plain,
    ( epred10_0
  <=> ( ( ( ( ~ x
            | ~ f4($true) )
          & ( x
            | ~ f4($false) ) )
        | f4($true) )
      & ( ( ( ~ x
            | f4($true) )
          & ( x
            | f4($false) ) )
        | f4($false) ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( epred2_0
  <=> ( ( ( ( ~ x
            | ~ f4($true) )
          & ( x
            | ~ f4($false) ) )
        | f3($true) )
      & ( ( ( ~ x
            | f4($true) )
          & ( x
            | f4($false) ) )
        | f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_3,plain,
    ( epred9_0
  <=> ( ( ( ( ~ x
            | ~ f4($true) )
          & ( x
            | ~ f4($false) ) )
        | ~ f4($true) )
      & ( ( ( ~ x
            | f4($true) )
          & ( x
            | f4($false) ) )
        | ~ f4($false) ) ) ),
    introduced(definition) ).

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

fof(c_0_5,plain,
    ( ( ~ x
      | ~ f4($true)
      | f4($true)
      | ~ epred10_0 )
    & ( x
      | ~ f4($false)
      | f4($true)
      | ~ epred10_0 )
    & ( ~ x
      | f4($true)
      | f4($false)
      | ~ epred10_0 )
    & ( x
      | f4($false)
      | f4($false)
      | ~ epred10_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred10_0 )
    & ( ~ f4($false)
      | x
      | ~ x
      | x
      | epred10_0 )
    & ( ~ x
      | ~ f4($true)
      | ~ x
      | x
      | epred10_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ x
      | x
      | epred10_0 )
    & ( ~ f4($false)
      | ~ x
      | x
      | epred10_0 )
    & ( ~ x
      | x
      | f4($false)
      | x
      | epred10_0 )
    & ( ~ f4($false)
      | x
      | f4($false)
      | x
      | epred10_0 )
    & ( ~ x
      | ~ f4($true)
      | f4($false)
      | x
      | epred10_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | x
      | epred10_0 )
    & ( ~ f4($false)
      | f4($false)
      | x
      | epred10_0 )
    & ( ~ x
      | x
      | ~ x
      | f4($true)
      | epred10_0 )
    & ( ~ f4($false)
      | x
      | ~ x
      | f4($true)
      | epred10_0 )
    & ( ~ x
      | ~ f4($true)
      | ~ x
      | f4($true)
      | epred10_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ x
      | f4($true)
      | epred10_0 )
    & ( ~ f4($false)
      | ~ x
      | f4($true)
      | epred10_0 )
    & ( ~ x
      | x
      | f4($false)
      | f4($true)
      | epred10_0 )
    & ( ~ f4($false)
      | x
      | f4($false)
      | f4($true)
      | epred10_0 )
    & ( ~ x
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred10_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred10_0 )
    & ( ~ f4($false)
      | f4($false)
      | f4($true)
      | epred10_0 )
    & ( ~ x
      | x
      | ~ f4($true)
      | epred10_0 )
    & ( ~ f4($false)
      | x
      | ~ f4($true)
      | epred10_0 )
    & ( ~ x
      | ~ f4($true)
      | ~ f4($true)
      | epred10_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ f4($true)
      | epred10_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | epred10_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

fof(c_0_6,plain,
    ( epred1_0
  <=> ( ( ( ( ~ x
            | ~ f4($true) )
          & ( x
            | ~ f4($false) ) )
        | ~ f3($true) )
      & ( ( ( ~ x
            | f4($true) )
          & ( x
            | f4($false) ) )
        | ~ f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_7,plain,
    ( ( ~ x
      | ~ f4($true)
      | f3($true)
      | ~ epred2_0 )
    & ( x
      | ~ f4($false)
      | f3($true)
      | ~ epred2_0 )
    & ( ~ x
      | f4($true)
      | f3($false)
      | ~ epred2_0 )
    & ( x
      | f4($false)
      | f3($false)
      | ~ epred2_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred2_0 )
    & ( ~ f4($false)
      | x
      | ~ x
      | x
      | epred2_0 )
    & ( ~ x
      | ~ f4($true)
      | ~ x
      | x
      | epred2_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ x
      | x
      | epred2_0 )
    & ( ~ f3($false)
      | ~ x
      | x
      | epred2_0 )
    & ( ~ x
      | x
      | f4($false)
      | x
      | epred2_0 )
    & ( ~ f4($false)
      | x
      | f4($false)
      | x
      | epred2_0 )
    & ( ~ x
      | ~ f4($true)
      | f4($false)
      | x
      | epred2_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | x
      | epred2_0 )
    & ( ~ f3($false)
      | f4($false)
      | x
      | epred2_0 )
    & ( ~ x
      | x
      | ~ x
      | f4($true)
      | epred2_0 )
    & ( ~ f4($false)
      | x
      | ~ x
      | f4($true)
      | epred2_0 )
    & ( ~ x
      | ~ f4($true)
      | ~ x
      | f4($true)
      | epred2_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ x
      | f4($true)
      | epred2_0 )
    & ( ~ f3($false)
      | ~ x
      | f4($true)
      | epred2_0 )
    & ( ~ x
      | x
      | f4($false)
      | f4($true)
      | epred2_0 )
    & ( ~ f4($false)
      | x
      | f4($false)
      | f4($true)
      | epred2_0 )
    & ( ~ x
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred2_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred2_0 )
    & ( ~ f3($false)
      | f4($false)
      | f4($true)
      | epred2_0 )
    & ( ~ x
      | x
      | ~ f3($true)
      | epred2_0 )
    & ( ~ f4($false)
      | x
      | ~ f3($true)
      | epred2_0 )
    & ( ~ x
      | ~ f4($true)
      | ~ f3($true)
      | epred2_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ f3($true)
      | epred2_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_8,plain,
    ( epred7_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | ~ f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f1($false) ) )
            | ~ f1($false) ) )
        | ~ f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f1($false) ) )
            | f1($false) ) )
        | ~ f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_9,plain,
    ( epred5_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | ~ f2($false) ) )
        | ~ f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | f2($false) ) )
        | ~ f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_10,plain,
    ( epred6_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | ~ f2($false) ) )
        | f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | f2($false) ) )
        | f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_11,plain,
    ( ( ~ x
      | ~ f4($true)
      | ~ f4($true)
      | ~ epred9_0 )
    & ( x
      | ~ f4($false)
      | ~ f4($true)
      | ~ epred9_0 )
    & ( ~ x
      | f4($true)
      | ~ f4($false)
      | ~ epred9_0 )
    & ( x
      | f4($false)
      | ~ f4($false)
      | ~ epred9_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred9_0 )
    & ( ~ f4($false)
      | x
      | ~ x
      | x
      | epred9_0 )
    & ( ~ x
      | ~ f4($true)
      | ~ x
      | x
      | epred9_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ x
      | x
      | epred9_0 )
    & ( f4($false)
      | ~ x
      | x
      | epred9_0 )
    & ( ~ x
      | x
      | f4($false)
      | x
      | epred9_0 )
    & ( ~ f4($false)
      | x
      | f4($false)
      | x
      | epred9_0 )
    & ( ~ x
      | ~ f4($true)
      | f4($false)
      | x
      | epred9_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | x
      | epred9_0 )
    & ( f4($false)
      | f4($false)
      | x
      | epred9_0 )
    & ( ~ x
      | x
      | ~ x
      | f4($true)
      | epred9_0 )
    & ( ~ f4($false)
      | x
      | ~ x
      | f4($true)
      | epred9_0 )
    & ( ~ x
      | ~ f4($true)
      | ~ x
      | f4($true)
      | epred9_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ x
      | f4($true)
      | epred9_0 )
    & ( f4($false)
      | ~ x
      | f4($true)
      | epred9_0 )
    & ( ~ x
      | x
      | f4($false)
      | f4($true)
      | epred9_0 )
    & ( ~ f4($false)
      | x
      | f4($false)
      | f4($true)
      | epred9_0 )
    & ( ~ x
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred9_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred9_0 )
    & ( f4($false)
      | f4($false)
      | f4($true)
      | epred9_0 )
    & ( ~ x
      | x
      | f4($true)
      | epred9_0 )
    & ( ~ f4($false)
      | x
      | f4($true)
      | epred9_0 )
    & ( ~ x
      | ~ f4($true)
      | f4($true)
      | epred9_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($true)
      | epred9_0 )
    & ( f4($false)
      | f4($true)
      | epred9_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_12,plain,
    ( epred11_0
  <=> ( ( ( ( epred9_0
            | ~ f4($true) )
          & ( epred10_0
            | ~ f4($false) ) )
        | ~ f3($true) )
      & ( ( ( epred9_0
            | f4($true) )
          & ( epred10_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_4,c_0_3]),c_0_1]),c_0_3]),c_0_1]) ).

cnf(c_0_13,plain,
    ( x
    | f4($false)
    | f4($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_14,plain,
    ( ( ~ x
      | ~ f4($true)
      | ~ f3($true)
      | ~ epred1_0 )
    & ( x
      | ~ f4($false)
      | ~ f3($true)
      | ~ epred1_0 )
    & ( ~ x
      | f4($true)
      | ~ f3($false)
      | ~ epred1_0 )
    & ( x
      | f4($false)
      | ~ f3($false)
      | ~ epred1_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred1_0 )
    & ( ~ f4($false)
      | x
      | ~ x
      | x
      | epred1_0 )
    & ( ~ x
      | ~ f4($true)
      | ~ x
      | x
      | epred1_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ x
      | x
      | epred1_0 )
    & ( f3($false)
      | ~ x
      | x
      | epred1_0 )
    & ( ~ x
      | x
      | f4($false)
      | x
      | epred1_0 )
    & ( ~ f4($false)
      | x
      | f4($false)
      | x
      | epred1_0 )
    & ( ~ x
      | ~ f4($true)
      | f4($false)
      | x
      | epred1_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | x
      | epred1_0 )
    & ( f3($false)
      | f4($false)
      | x
      | epred1_0 )
    & ( ~ x
      | x
      | ~ x
      | f4($true)
      | epred1_0 )
    & ( ~ f4($false)
      | x
      | ~ x
      | f4($true)
      | epred1_0 )
    & ( ~ x
      | ~ f4($true)
      | ~ x
      | f4($true)
      | epred1_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ x
      | f4($true)
      | epred1_0 )
    & ( f3($false)
      | ~ x
      | f4($true)
      | epred1_0 )
    & ( ~ x
      | x
      | f4($false)
      | f4($true)
      | epred1_0 )
    & ( ~ f4($false)
      | x
      | f4($false)
      | f4($true)
      | epred1_0 )
    & ( ~ x
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred1_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred1_0 )
    & ( f3($false)
      | f4($false)
      | f4($true)
      | epred1_0 )
    & ( ~ x
      | x
      | f3($true)
      | epred1_0 )
    & ( ~ f4($false)
      | x
      | f3($true)
      | epred1_0 )
    & ( ~ x
      | ~ f4($true)
      | f3($true)
      | epred1_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f3($true)
      | epred1_0 )
    & ( f3($false)
      | f3($true)
      | epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

cnf(c_0_15,plain,
    ( x
    | f3($true)
    | ~ f4($false)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,plain,
    ( x
    | f4($false)
    | f3($false)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_17,plain,
    ( epred18_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | ~ f0($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | f1($false) ) )
            | ~ f0($false) ) )
        | f0($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | f0($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | 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_18,plain,
    ( epred15_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | ~ f2($false) ) )
        | ~ f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | f2($false) ) )
        | ~ f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_19,plain,
    ( epred16_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | ~ f2($false) ) )
        | f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | f2($false) ) )
        | f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_20,plain,
    ( epred8_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | ~ f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f1($false) ) )
            | ~ f1($false) ) )
        | f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f4($true) )
                                  & ( x
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ~ x
                                    | f4($true) )
                                  & ( x
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f1($false) ) )
            | f1($false) ) )
        | f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_21,plain,
    ( epred17_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | ~ f0($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | f1($false) ) )
            | ~ f0($false) ) )
        | ~ f0($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | f0($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f4($true) )
                                          & ( x
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ~ x
                                            | f4($true) )
                                          & ( x
                                            | 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_22,plain,
    ( epred7_0
  <=> ( ( ( ( epred5_0
            | ~ f1($true) )
          & ( epred6_0
            | ~ f1($false) ) )
        | ~ f1($true) )
      & ( ( ( epred5_0
            | f1($true) )
          & ( epred6_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_8,c_0_9]),c_0_10]),c_0_9]),c_0_10]) ).

cnf(c_0_23,plain,
    ( ~ x
    | ~ f4($true)
    | ~ f4($true)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_24,plain,
    ( ( epred9_0
      | ~ f4($true)
      | ~ f3($true)
      | ~ epred11_0 )
    & ( epred10_0
      | ~ f4($false)
      | ~ f3($true)
      | ~ epred11_0 )
    & ( epred9_0
      | f4($true)
      | ~ f3($false)
      | ~ epred11_0 )
    & ( epred10_0
      | f4($false)
      | ~ f3($false)
      | ~ epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f4($false)
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f4($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( f3($false)
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f4($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f4($false)
      | ~ epred9_0
      | f4($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f4($true)
      | f4($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | ~ epred9_0
      | epred11_0 )
    & ( f3($false)
      | f4($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | f4($true)
      | epred11_0 )
    & ( ~ f4($false)
      | ~ epred9_0
      | ~ epred10_0
      | f4($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f4($true)
      | ~ epred10_0
      | f4($true)
      | epred11_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred10_0
      | f4($true)
      | epred11_0 )
    & ( f3($false)
      | ~ epred10_0
      | f4($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f4($false)
      | f4($true)
      | epred11_0 )
    & ( ~ f4($false)
      | ~ epred9_0
      | f4($false)
      | f4($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred11_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred11_0 )
    & ( f3($false)
      | f4($false)
      | f4($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f3($true)
      | epred11_0 )
    & ( ~ f4($false)
      | ~ epred9_0
      | f3($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f4($true)
      | f3($true)
      | epred11_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f3($true)
      | epred11_0 )
    & ( f3($false)
      | f3($true)
      | epred11_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

cnf(c_0_25,plain,
    ( x
    | f4($true)
    | ~ f4($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_26,plain,
    ( x
    | f4($false)
    | ~ epred10_0 ),
    inference(cn,[status(thm)],[c_0_13]) ).

fof(c_0_27,plain,
    ( epred4_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | ~ f3($false) ) )
            | ~ f3($true) )
          & ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | f3($false) ) )
            | ~ f3($false) ) )
        | f3($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | ~ f3($false) ) )
            | f3($true) )
          & ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | f3($false) ) )
            | f3($false) ) )
        | f3($false) ) ) ),
    introduced(definition) ).

cnf(c_0_28,plain,
    ( x
    | f3($true)
    | epred1_0
    | ~ f4($false) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_29,plain,
    ( f4($false)
    | x
    | epred2_0
    | ~ f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_30,plain,
    ( f3($false)
    | f3($true)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_31,plain,
    ( f3($true)
    | ~ x
    | ~ f4($true)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_32,plain,
    ( f4($true)
    | f3($false)
    | ~ x
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_33,plain,
    ( f3($false)
    | f3($true)
    | x
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

fof(c_0_34,plain,
    ( epred18_0
  <=> ( ( ( ( epred15_0
            | ~ f0($true) )
          & ( epred16_0
            | ~ f0($false) ) )
        | f0($true) )
      & ( ( ( epred15_0
            | f0($true) )
          & ( epred16_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_17,c_0_18]),c_0_19]),c_0_18]),c_0_19]) ).

fof(c_0_35,negated_conjecture,
    ~ ( ( ( epred7_0
          | f0($true) )
        & ( epred8_0
          | f0($false) ) )
    <=> ( ( epred17_0
          | f0($true) )
        & ( epred18_0
          | f0($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)],[kaminski5])]),c_0_8]),c_0_20]),c_0_21]),c_0_17]) ).

fof(c_0_36,plain,
    ( ( epred5_0
      | ~ f1($true)
      | ~ f1($true)
      | ~ epred7_0 )
    & ( epred6_0
      | ~ f1($false)
      | ~ f1($true)
      | ~ epred7_0 )
    & ( epred5_0
      | f1($true)
      | ~ f1($false)
      | ~ epred7_0 )
    & ( epred6_0
      | f1($false)
      | ~ f1($false)
      | ~ epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f1($false)
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f1($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( f1($false)
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f1($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f1($false)
      | ~ epred5_0
      | f1($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f1($true)
      | f1($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | ~ epred5_0
      | epred7_0 )
    & ( f1($false)
      | f1($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | f1($true)
      | epred7_0 )
    & ( ~ f1($false)
      | ~ epred5_0
      | ~ epred6_0
      | f1($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f1($true)
      | ~ epred6_0
      | f1($true)
      | epred7_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred6_0
      | f1($true)
      | epred7_0 )
    & ( f1($false)
      | ~ epred6_0
      | f1($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f1($false)
      | f1($true)
      | epred7_0 )
    & ( ~ f1($false)
      | ~ epred5_0
      | f1($false)
      | f1($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred7_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred7_0 )
    & ( f1($false)
      | f1($false)
      | f1($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f1($true)
      | epred7_0 )
    & ( ~ f1($false)
      | ~ epred5_0
      | f1($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f1($true)
      | f1($true)
      | epred7_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($true)
      | epred7_0 )
    & ( f1($false)
      | f1($true)
      | epred7_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).

cnf(c_0_37,plain,
    ( f4($true)
    | ~ x
    | ~ f4($false)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_38,plain,
    ( ~ x
    | ~ epred9_0
    | ~ f4($true) ),
    inference(cn,[status(thm)],[c_0_23]) ).

cnf(c_0_39,plain,
    ( x
    | ~ f4($false)
    | ~ f3($true)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_40,plain,
    ( f3($true)
    | epred11_0
    | ~ epred10_0
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_41,plain,
    ( f4($true)
    | x
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_42,plain,
    ( f4($false)
    | f4($false)
    | x
    | epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_43,plain,
    ( epred3_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | ~ f3($false) ) )
            | ~ f3($true) )
          & ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | f3($false) ) )
            | ~ f3($false) ) )
        | ~ f3($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | ~ f3($false) ) )
            | f3($true) )
          & ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | f3($false) ) )
            | f3($false) ) )
        | ~ f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_44,plain,
    ( epred4_0
  <=> ( ( ( ( epred1_0
            | ~ f3($true) )
          & ( epred2_0
            | ~ f3($false) ) )
        | f3($true) )
      & ( ( ( epred1_0
            | f3($true) )
          & ( epred2_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_27,c_0_6]),c_0_2]),c_0_6]),c_0_2]) ).

cnf(c_0_45,plain,
    ( f3($true)
    | epred1_0
    | ~ x
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_46,plain,
    ( f4($true)
    | epred2_0
    | ~ f3($false)
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_47,plain,
    ( epred2_0
    | epred1_0
    | f3($true)
    | x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_48,plain,
    ( ~ x
    | ~ f4($true)
    | ~ f3($true)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_49,plain,
    ( f4($true)
    | ~ x
    | ~ f3($false)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_50,plain,
    ( x
    | f4($false)
    | ~ f3($false)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_51,plain,
    ( f3($false)
    | f3($true)
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

fof(c_0_52,plain,
    ( epred13_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | ~ f2($false) ) )
        | ~ f2($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | f2($false) ) )
        | ~ f2($false) ) ) ),
    introduced(definition) ).

fof(c_0_53,plain,
    ( epred12_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | ~ f4($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | ~ f4($false) ) )
            | ~ f4($true) )
          & ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | f4($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | f4($false) ) )
            | ~ f4($false) ) )
        | f3($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | ~ f4($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | ~ f4($false) ) )
            | f4($true) )
          & ( ( ( ( ( ~ x
                    | ~ f4($true) )
                  & ( x
                    | ~ f4($false) ) )
                | f4($true) )
              & ( ( ( ~ x
                    | f4($true) )
                  & ( x
                    | f4($false) ) )
                | f4($false) ) )
            | f4($false) ) )
        | f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_54,plain,
    ( epred8_0
  <=> ( ( ( ( epred5_0
            | ~ f1($true) )
          & ( epred6_0
            | ~ f1($false) ) )
        | f1($true) )
      & ( ( ( epred5_0
            | f1($true) )
          & ( epred6_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_20,c_0_9]),c_0_10]),c_0_9]),c_0_10]) ).

fof(c_0_55,plain,
    ( ( epred15_0
      | ~ f0($true)
      | f0($true)
      | ~ epred18_0 )
    & ( epred16_0
      | ~ f0($false)
      | f0($true)
      | ~ epred18_0 )
    & ( epred15_0
      | f0($true)
      | f0($false)
      | ~ epred18_0 )
    & ( epred16_0
      | f0($false)
      | f0($false)
      | ~ epred18_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f0($false)
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | epred18_0 )
    & ( ~ epred16_0
      | ~ f0($true)
      | ~ epred16_0
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred16_0
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f0($false)
      | ~ epred16_0
      | ~ epred15_0
      | epred18_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | f0($false)
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f0($false)
      | ~ epred15_0
      | f0($false)
      | ~ epred15_0
      | epred18_0 )
    & ( ~ epred16_0
      | ~ f0($true)
      | f0($false)
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($false)
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f0($false)
      | f0($false)
      | ~ epred15_0
      | epred18_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0
      | f0($true)
      | epred18_0 )
    & ( ~ f0($false)
      | ~ epred15_0
      | ~ epred16_0
      | f0($true)
      | epred18_0 )
    & ( ~ epred16_0
      | ~ f0($true)
      | ~ epred16_0
      | f0($true)
      | epred18_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred16_0
      | f0($true)
      | epred18_0 )
    & ( ~ f0($false)
      | ~ epred16_0
      | f0($true)
      | epred18_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | f0($false)
      | f0($true)
      | epred18_0 )
    & ( ~ f0($false)
      | ~ epred15_0
      | f0($false)
      | f0($true)
      | epred18_0 )
    & ( ~ epred16_0
      | ~ f0($true)
      | f0($false)
      | f0($true)
      | epred18_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($false)
      | f0($true)
      | epred18_0 )
    & ( ~ f0($false)
      | f0($false)
      | f0($true)
      | epred18_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | ~ f0($true)
      | epred18_0 )
    & ( ~ f0($false)
      | ~ epred15_0
      | ~ f0($true)
      | epred18_0 )
    & ( ~ epred16_0
      | ~ f0($true)
      | ~ f0($true)
      | epred18_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ f0($true)
      | epred18_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | epred18_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).

fof(c_0_56,negated_conjecture,
    ( ( ~ epred18_0
      | ~ epred17_0
      | ~ epred8_0
      | ~ epred7_0 )
    & ( ~ f0($false)
      | ~ epred17_0
      | ~ epred8_0
      | ~ epred7_0 )
    & ( ~ epred18_0
      | ~ f0($true)
      | ~ epred8_0
      | ~ epred7_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred8_0
      | ~ epred7_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | ~ f0($false)
      | ~ epred7_0 )
    & ( ~ f0($false)
      | ~ epred17_0
      | ~ f0($false)
      | ~ epred7_0 )
    & ( ~ epred18_0
      | ~ f0($true)
      | ~ f0($false)
      | ~ epred7_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ f0($false)
      | ~ epred7_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | ~ epred8_0
      | ~ f0($true) )
    & ( ~ f0($false)
      | ~ epred17_0
      | ~ epred8_0
      | ~ f0($true) )
    & ( ~ epred18_0
      | ~ f0($true)
      | ~ epred8_0
      | ~ f0($true) )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred8_0
      | ~ f0($true) )
    & ( ~ epred18_0
      | ~ epred17_0
      | ~ f0($false)
      | ~ f0($true) )
    & ( ~ f0($false)
      | ~ epred17_0
      | ~ f0($false)
      | ~ f0($true) )
    & ( ~ epred18_0
      | ~ f0($true)
      | ~ f0($false)
      | ~ f0($true) )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ f0($false)
      | ~ f0($true) )
    & ( epred17_0
      | f0($true)
      | epred7_0
      | f0($true) )
    & ( epred18_0
      | f0($false)
      | epred7_0
      | f0($true) )
    & ( epred17_0
      | f0($true)
      | epred8_0
      | f0($false) )
    & ( epred18_0
      | f0($false)
      | epred8_0
      | f0($false) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).

cnf(c_0_57,plain,
    ( f1($false)
    | f1($false)
    | epred7_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_58,plain,
    ( ~ epred9_0
    | ~ f4($false)
    | ~ x ),
    inference(csr,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_59,plain,
    ( f3($false)
    | f4($false)
    | epred11_0
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_60,plain,
    ( x
    | ~ epred10_0
    | ~ epred1_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_39,c_0_26]) ).

cnf(c_0_61,plain,
    ( epred11_0
    | f3($true)
    | x
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_62,plain,
    ( f4($true)
    | epred10_0
    | ~ f4($false)
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_63,plain,
    ( epred10_0
    | ~ f4($false)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_64,plain,
    ( x
    | f4($true)
    | epred9_0
    | ~ f4($false) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_65,plain,
    ( x
    | epred9_0
    | f4($false) ),
    inference(cn,[status(thm)],[c_0_42]) ).

fof(c_0_66,plain,
    ( epred3_0
  <=> ( ( ( ( epred1_0
            | ~ f3($true) )
          & ( epred2_0
            | ~ f3($false) ) )
        | ~ f3($true) )
      & ( ( ( epred1_0
            | f3($true) )
          & ( epred2_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_43,c_0_6]),c_0_2]),c_0_6]),c_0_2]) ).

fof(c_0_67,plain,
    ( ( epred1_0
      | ~ f3($true)
      | f3($true)
      | ~ epred4_0 )
    & ( epred2_0
      | ~ f3($false)
      | f3($true)
      | ~ epred4_0 )
    & ( epred1_0
      | f3($true)
      | f3($false)
      | ~ epred4_0 )
    & ( epred2_0
      | f3($false)
      | f3($false)
      | ~ epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f3($false)
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f3($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f3($false)
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f3($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f3($false)
      | ~ epred1_0
      | f3($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f3($true)
      | f3($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f3($false)
      | f3($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | f3($true)
      | epred4_0 )
    & ( ~ f3($false)
      | ~ epred1_0
      | ~ epred2_0
      | f3($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f3($true)
      | ~ epred2_0
      | f3($true)
      | epred4_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred2_0
      | f3($true)
      | epred4_0 )
    & ( ~ f3($false)
      | ~ epred2_0
      | f3($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f3($false)
      | f3($true)
      | epred4_0 )
    & ( ~ f3($false)
      | ~ epred1_0
      | f3($false)
      | f3($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred4_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred4_0 )
    & ( ~ f3($false)
      | f3($false)
      | f3($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ f3($true)
      | epred4_0 )
    & ( ~ f3($false)
      | ~ epred1_0
      | ~ f3($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f3($true)
      | ~ f3($true)
      | epred4_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ f3($true)
      | epred4_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | epred4_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).

cnf(c_0_68,plain,
    ( x
    | epred2_0
    | ~ f4($false)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_69,plain,
    ( f3($false)
    | f4($false)
    | x
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_70,plain,
    ( epred2_0
    | epred1_0
    | f3($true) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_30]) ).

cnf(c_0_71,plain,
    ( ~ epred1_0
    | ~ f3($true)
    | ~ f3($false)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_72,plain,
    ( f3($true)
    | x
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_50]),c_0_51]) ).

fof(c_0_73,plain,
    ( epred13_0
  <=> ( ( ( ( epred11_0
            | ~ f2($true) )
          & ( epred12_0
            | ~ f2($false) ) )
        | ~ f2($true) )
      & ( ( ( epred11_0
            | f2($true) )
          & ( epred12_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_52,c_0_4]),c_0_53]),c_0_4]),c_0_53]) ).

fof(c_0_74,plain,
    ( epred14_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | ~ f2($false) ) )
        | f2($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f4($true) )
                          & ( x
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ~ x
                            | f4($true) )
                          & ( x
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | f2($false) ) )
        | f2($false) ) ) ),
    introduced(definition) ).

fof(c_0_75,plain,
    ( ( epred5_0
      | ~ f1($true)
      | f1($true)
      | ~ epred8_0 )
    & ( epred6_0
      | ~ f1($false)
      | f1($true)
      | ~ epred8_0 )
    & ( epred5_0
      | f1($true)
      | f1($false)
      | ~ epred8_0 )
    & ( epred6_0
      | f1($false)
      | f1($false)
      | ~ epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f1($false)
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f1($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f1($false)
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f1($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f1($false)
      | ~ epred5_0
      | f1($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f1($true)
      | f1($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f1($false)
      | f1($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | f1($true)
      | epred8_0 )
    & ( ~ f1($false)
      | ~ epred5_0
      | ~ epred6_0
      | f1($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f1($true)
      | ~ epred6_0
      | f1($true)
      | epred8_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred6_0
      | f1($true)
      | epred8_0 )
    & ( ~ f1($false)
      | ~ epred6_0
      | f1($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f1($false)
      | f1($true)
      | epred8_0 )
    & ( ~ f1($false)
      | ~ epred5_0
      | f1($false)
      | f1($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred8_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred8_0 )
    & ( ~ f1($false)
      | f1($false)
      | f1($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ f1($true)
      | epred8_0 )
    & ( ~ f1($false)
      | ~ epred5_0
      | ~ f1($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f1($true)
      | ~ f1($true)
      | epred8_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ f1($true)
      | epred8_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | epred8_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).

cnf(c_0_76,plain,
    ( epred16_0
    | f0($false)
    | f0($false)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ f0($false)
    | ~ epred17_0
    | ~ f0($false)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_78,negated_conjecture,
    ( epred18_0
    | f0($false)
    | epred8_0
    | f0($false) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_79,plain,
    ( f1($true)
    | epred7_0
    | ~ f1($false)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_80,plain,
    ( epred7_0
    | f1($false)
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_57]) ).

fof(c_0_81,plain,
    ( epred17_0
  <=> ( ( ( ( epred15_0
            | ~ f0($true) )
          & ( epred16_0
            | ~ f0($false) ) )
        | ~ f0($true) )
      & ( ( ( epred15_0
            | f0($true) )
          & ( epred16_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_21,c_0_18]),c_0_19]),c_0_18]),c_0_19]) ).

fof(c_0_82,plain,
    ( epred12_0
  <=> ( ( ( ( epred9_0
            | ~ f4($true) )
          & ( epred10_0
            | ~ f4($false) ) )
        | f3($true) )
      & ( ( ( epred9_0
            | f4($true) )
          & ( epred10_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_53,c_0_3]),c_0_1]),c_0_3]),c_0_1]) ).

cnf(c_0_83,plain,
    ( epred2_0
    | ~ epred9_0
    | ~ f3($false)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_38,c_0_46]) ).

cnf(c_0_84,plain,
    ( epred11_0
    | f3($false)
    | ~ epred9_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_85,plain,
    ( f3($false)
    | f4($true)
    | epred11_0
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_86,plain,
    ( epred11_0
    | x
    | ~ epred10_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_87,plain,
    ( f3($false)
    | f3($true)
    | epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_88,plain,
    ( epred10_0
    | ~ x
    | ~ f4($true)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_89,plain,
    ( epred10_0
    | ~ f4($false)
    | ~ x ),
    inference(csr,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_90,plain,
    ( f4($false)
    | f4($true)
    | epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_91,plain,
    ( epred9_0
    | f4($true)
    | x ),
    inference(csr,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_92,plain,
    ( ( epred1_0
      | ~ f3($true)
      | ~ f3($true)
      | ~ epred3_0 )
    & ( epred2_0
      | ~ f3($false)
      | ~ f3($true)
      | ~ epred3_0 )
    & ( epred1_0
      | f3($true)
      | ~ f3($false)
      | ~ epred3_0 )
    & ( epred2_0
      | f3($false)
      | ~ f3($false)
      | ~ epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f3($false)
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f3($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( f3($false)
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f3($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f3($false)
      | ~ epred1_0
      | f3($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f3($true)
      | f3($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | ~ epred1_0
      | epred3_0 )
    & ( f3($false)
      | f3($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | f3($true)
      | epred3_0 )
    & ( ~ f3($false)
      | ~ epred1_0
      | ~ epred2_0
      | f3($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f3($true)
      | ~ epred2_0
      | f3($true)
      | epred3_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred2_0
      | f3($true)
      | epred3_0 )
    & ( f3($false)
      | ~ epred2_0
      | f3($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f3($false)
      | f3($true)
      | epred3_0 )
    & ( ~ f3($false)
      | ~ epred1_0
      | f3($false)
      | f3($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred3_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred3_0 )
    & ( f3($false)
      | f3($false)
      | f3($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f3($true)
      | epred3_0 )
    & ( ~ f3($false)
      | ~ epred1_0
      | f3($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f3($true)
      | f3($true)
      | epred3_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($true)
      | epred3_0 )
    & ( f3($false)
      | f3($true)
      | epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).

cnf(c_0_93,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ f3($true)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_94,plain,
    ( epred2_0
    | ~ f3($false)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_95,plain,
    ( epred2_0
    | epred1_0
    | f3($false)
    | x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_96,plain,
    ( ~ epred2_0
    | ~ epred1_0
    | ~ f3($true)
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_32]),c_0_71]) ).

cnf(c_0_97,plain,
    ( f3($true)
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_49]),c_0_72]),c_0_51]) ).

cnf(c_0_98,plain,
    ( epred2_0
    | f3($false)
    | f3($false)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

fof(c_0_99,plain,
    ( ( epred11_0
      | ~ f2($true)
      | ~ f2($true)
      | ~ epred13_0 )
    & ( epred12_0
      | ~ f2($false)
      | ~ f2($true)
      | ~ epred13_0 )
    & ( epred11_0
      | f2($true)
      | ~ f2($false)
      | ~ epred13_0 )
    & ( epred12_0
      | f2($false)
      | ~ f2($false)
      | ~ epred13_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | epred13_0 )
    & ( ~ f2($false)
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | epred13_0 )
    & ( ~ epred12_0
      | ~ f2($true)
      | ~ epred12_0
      | ~ epred11_0
      | epred13_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred12_0
      | ~ epred11_0
      | epred13_0 )
    & ( f2($false)
      | ~ epred12_0
      | ~ epred11_0
      | epred13_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | f2($false)
      | ~ epred11_0
      | epred13_0 )
    & ( ~ f2($false)
      | ~ epred11_0
      | f2($false)
      | ~ epred11_0
      | epred13_0 )
    & ( ~ epred12_0
      | ~ f2($true)
      | f2($false)
      | ~ epred11_0
      | epred13_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred11_0
      | epred13_0 )
    & ( f2($false)
      | f2($false)
      | ~ epred11_0
      | epred13_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0
      | f2($true)
      | epred13_0 )
    & ( ~ f2($false)
      | ~ epred11_0
      | ~ epred12_0
      | f2($true)
      | epred13_0 )
    & ( ~ epred12_0
      | ~ f2($true)
      | ~ epred12_0
      | f2($true)
      | epred13_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred12_0
      | f2($true)
      | epred13_0 )
    & ( f2($false)
      | ~ epred12_0
      | f2($true)
      | epred13_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | f2($false)
      | f2($true)
      | epred13_0 )
    & ( ~ f2($false)
      | ~ epred11_0
      | f2($false)
      | f2($true)
      | epred13_0 )
    & ( ~ epred12_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred13_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred13_0 )
    & ( f2($false)
      | f2($false)
      | f2($true)
      | epred13_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | f2($true)
      | epred13_0 )
    & ( ~ f2($false)
      | ~ epred11_0
      | f2($true)
      | epred13_0 )
    & ( ~ epred12_0
      | ~ f2($true)
      | f2($true)
      | epred13_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($true)
      | epred13_0 )
    & ( f2($false)
      | f2($true)
      | epred13_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])]) ).

fof(c_0_100,plain,
    ( epred15_0
  <=> ( ( ( ( epred13_0
            | ~ f2($true) )
          & ( epred14_0
            | ~ f2($false) ) )
        | ~ f1($true) )
      & ( ( ( epred13_0
            | f2($true) )
          & ( epred14_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_18,c_0_52]),c_0_74]),c_0_52]),c_0_74]) ).

fof(c_0_101,plain,
    ( epred16_0
  <=> ( ( ( ( epred13_0
            | ~ f2($true) )
          & ( epred14_0
            | ~ f2($false) ) )
        | f1($true) )
      & ( ( ( epred13_0
            | f2($true) )
          & ( epred14_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_19,c_0_52]),c_0_74]),c_0_52]),c_0_74]) ).

fof(c_0_102,plain,
    ( epred6_0
  <=> ( ( ( ( epred3_0
            | ~ f2($true) )
          & ( epred4_0
            | ~ f2($false) ) )
        | f1($true) )
      & ( ( ( epred3_0
            | f2($true) )
          & ( epred4_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_10,c_0_43]),c_0_27]),c_0_43]),c_0_27]) ).

cnf(c_0_103,plain,
    ( epred6_0
    | f1($false)
    | f1($false)
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ f0($false)
    | ~ f0($true)
    | ~ f0($false)
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_105,plain,
    ( epred16_0
    | f0($true)
    | ~ f0($false)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_106,plain,
    ( epred16_0
    | f0($false)
    | ~ epred18_0 ),
    inference(cn,[status(thm)],[c_0_76]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ epred7_0
    | ~ epred17_0
    | ~ f0($false) ),
    inference(cn,[status(thm)],[c_0_77]) ).

cnf(c_0_108,negated_conjecture,
    ( epred8_0
    | epred18_0
    | f0($false) ),
    inference(cn,[status(thm)],[c_0_78]) ).

cnf(c_0_109,plain,
    ( epred8_0
    | ~ f1($false)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_110,plain,
    ( epred7_0
    | f1($true)
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[c_0_79,c_0_80]) ).

fof(c_0_111,plain,
    ( ( epred15_0
      | ~ f0($true)
      | ~ f0($true)
      | ~ epred17_0 )
    & ( epred16_0
      | ~ f0($false)
      | ~ f0($true)
      | ~ epred17_0 )
    & ( epred15_0
      | f0($true)
      | ~ f0($false)
      | ~ epred17_0 )
    & ( epred16_0
      | f0($false)
      | ~ f0($false)
      | ~ epred17_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | epred17_0 )
    & ( ~ f0($false)
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | epred17_0 )
    & ( ~ epred16_0
      | ~ f0($true)
      | ~ epred16_0
      | ~ epred15_0
      | epred17_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred16_0
      | ~ epred15_0
      | epred17_0 )
    & ( f0($false)
      | ~ epred16_0
      | ~ epred15_0
      | epred17_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | f0($false)
      | ~ epred15_0
      | epred17_0 )
    & ( ~ f0($false)
      | ~ epred15_0
      | f0($false)
      | ~ epred15_0
      | epred17_0 )
    & ( ~ epred16_0
      | ~ f0($true)
      | f0($false)
      | ~ epred15_0
      | epred17_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($false)
      | ~ epred15_0
      | epred17_0 )
    & ( f0($false)
      | f0($false)
      | ~ epred15_0
      | epred17_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0
      | f0($true)
      | epred17_0 )
    & ( ~ f0($false)
      | ~ epred15_0
      | ~ epred16_0
      | f0($true)
      | epred17_0 )
    & ( ~ epred16_0
      | ~ f0($true)
      | ~ epred16_0
      | f0($true)
      | epred17_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred16_0
      | f0($true)
      | epred17_0 )
    & ( f0($false)
      | ~ epred16_0
      | f0($true)
      | epred17_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | f0($false)
      | f0($true)
      | epred17_0 )
    & ( ~ f0($false)
      | ~ epred15_0
      | f0($false)
      | f0($true)
      | epred17_0 )
    & ( ~ epred16_0
      | ~ f0($true)
      | f0($false)
      | f0($true)
      | epred17_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($false)
      | f0($true)
      | epred17_0 )
    & ( f0($false)
      | f0($false)
      | f0($true)
      | epred17_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | f0($true)
      | epred17_0 )
    & ( ~ f0($false)
      | ~ epred15_0
      | f0($true)
      | epred17_0 )
    & ( ~ epred16_0
      | ~ f0($true)
      | f0($true)
      | epred17_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($true)
      | epred17_0 )
    & ( f0($false)
      | f0($true)
      | epred17_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).

fof(c_0_112,plain,
    ( ( epred9_0
      | ~ f4($true)
      | f3($true)
      | ~ epred12_0 )
    & ( epred10_0
      | ~ f4($false)
      | f3($true)
      | ~ epred12_0 )
    & ( epred9_0
      | f4($true)
      | f3($false)
      | ~ epred12_0 )
    & ( epred10_0
      | f4($false)
      | f3($false)
      | ~ epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f4($false)
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f4($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f3($false)
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f4($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f4($false)
      | ~ epred9_0
      | f4($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f4($true)
      | f4($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f3($false)
      | f4($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | f4($true)
      | epred12_0 )
    & ( ~ f4($false)
      | ~ epred9_0
      | ~ epred10_0
      | f4($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f4($true)
      | ~ epred10_0
      | f4($true)
      | epred12_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred10_0
      | f4($true)
      | epred12_0 )
    & ( ~ f3($false)
      | ~ epred10_0
      | f4($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f4($false)
      | f4($true)
      | epred12_0 )
    & ( ~ f4($false)
      | ~ epred9_0
      | f4($false)
      | f4($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred12_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred12_0 )
    & ( ~ f3($false)
      | f4($false)
      | f4($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ f3($true)
      | epred12_0 )
    & ( ~ f4($false)
      | ~ epred9_0
      | ~ f3($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f4($true)
      | ~ f3($true)
      | epred12_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ f3($true)
      | epred12_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | epred12_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])]) ).

fof(c_0_113,plain,
    ( epred14_0
  <=> ( ( ( ( epred11_0
            | ~ f2($true) )
          & ( epred12_0
            | ~ f2($false) ) )
        | f2($true) )
      & ( ( ( epred11_0
            | f2($true) )
          & ( epred12_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_74,c_0_4]),c_0_53]),c_0_4]),c_0_53]) ).

cnf(c_0_114,plain,
    ( f3($true)
    | epred11_0
    | ~ f4($false)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_115,plain,
    ( epred11_0
    | epred2_0
    | ~ epred9_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_116,plain,
    ( ~ epred1_0
    | ~ f3($true)
    | ~ f3($false) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_50]),c_0_71]) ).

cnf(c_0_117,plain,
    ( epred11_0
    | f3($false)
    | ~ epred10_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_85]),c_0_86]),c_0_87]) ).

cnf(c_0_118,plain,
    ( epred10_0
    | ~ x
    | ~ f4($true) ),
    inference(cn,[status(thm)],[c_0_88]) ).

cnf(c_0_119,plain,
    ( epred10_0
    | epred9_0
    | f4($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).

fof(c_0_120,plain,
    ( epred5_0
  <=> ( ( ( ( epred3_0
            | ~ f2($true) )
          & ( epred4_0
            | ~ f2($false) ) )
        | ~ f1($true) )
      & ( ( ( epred3_0
            | f2($true) )
          & ( epred4_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_9,c_0_43]),c_0_27]),c_0_43]),c_0_27]) ).

cnf(c_0_121,plain,
    ( f3($false)
    | f3($false)
    | epred3_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_122,plain,
    ( f3($true)
    | epred4_0
    | ~ f3($false)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_123,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ f3($true) ),
    inference(cn,[status(thm)],[c_0_93]) ).

cnf(c_0_124,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ epred1_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_125,plain,
    ( epred2_0
    | ~ x
    | ~ f4($true)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_126,plain,
    ( f3($false)
    | f4($true)
    | epred1_0
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_127,plain,
    ( epred2_0
    | epred1_0
    | x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_70]) ).

cnf(c_0_128,plain,
    ( ~ epred2_0
    | ~ epred1_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_129,plain,
    ( epred2_0
    | f3($true)
    | ~ f3($false)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_130,plain,
    ( epred2_0
    | f3($false)
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_98]) ).

cnf(c_0_131,plain,
    ( epred11_0
    | ~ f2($true)
    | ~ f2($true)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

fof(c_0_132,plain,
    ( ( epred13_0
      | ~ f2($true)
      | ~ f1($true)
      | ~ epred15_0 )
    & ( epred14_0
      | ~ f2($false)
      | ~ f1($true)
      | ~ epred15_0 )
    & ( epred13_0
      | f2($true)
      | ~ f1($false)
      | ~ epred15_0 )
    & ( epred14_0
      | f2($false)
      | ~ f1($false)
      | ~ epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f2($false)
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f2($true)
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( f1($false)
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f2($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f2($false)
      | ~ epred13_0
      | f2($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f2($true)
      | f2($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred13_0
      | epred15_0 )
    & ( f1($false)
      | f2($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0
      | f2($true)
      | epred15_0 )
    & ( ~ f2($false)
      | ~ epred13_0
      | ~ epred14_0
      | f2($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f2($true)
      | ~ epred14_0
      | f2($true)
      | epred15_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred14_0
      | f2($true)
      | epred15_0 )
    & ( f1($false)
      | ~ epred14_0
      | f2($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f2($false)
      | f2($true)
      | epred15_0 )
    & ( ~ f2($false)
      | ~ epred13_0
      | f2($false)
      | f2($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred15_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred15_0 )
    & ( f1($false)
      | f2($false)
      | f2($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f1($true)
      | epred15_0 )
    & ( ~ f2($false)
      | ~ epred13_0
      | f1($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f2($true)
      | f1($true)
      | epred15_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f1($true)
      | epred15_0 )
    & ( f1($false)
      | f1($true)
      | epred15_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])]) ).

fof(c_0_133,plain,
    ( ( epred13_0
      | ~ f2($true)
      | f1($true)
      | ~ epred16_0 )
    & ( epred14_0
      | ~ f2($false)
      | f1($true)
      | ~ epred16_0 )
    & ( epred13_0
      | f2($true)
      | f1($false)
      | ~ epred16_0 )
    & ( epred14_0
      | f2($false)
      | f1($false)
      | ~ epred16_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f2($false)
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | epred16_0 )
    & ( ~ epred14_0
      | ~ f2($true)
      | ~ epred14_0
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred14_0
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f1($false)
      | ~ epred14_0
      | ~ epred13_0
      | epred16_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f2($false)
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f2($false)
      | ~ epred13_0
      | f2($false)
      | ~ epred13_0
      | epred16_0 )
    & ( ~ epred14_0
      | ~ f2($true)
      | f2($false)
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f1($false)
      | f2($false)
      | ~ epred13_0
      | epred16_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0
      | f2($true)
      | epred16_0 )
    & ( ~ f2($false)
      | ~ epred13_0
      | ~ epred14_0
      | f2($true)
      | epred16_0 )
    & ( ~ epred14_0
      | ~ f2($true)
      | ~ epred14_0
      | f2($true)
      | epred16_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred14_0
      | f2($true)
      | epred16_0 )
    & ( ~ f1($false)
      | ~ epred14_0
      | f2($true)
      | epred16_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f2($false)
      | f2($true)
      | epred16_0 )
    & ( ~ f2($false)
      | ~ epred13_0
      | f2($false)
      | f2($true)
      | epred16_0 )
    & ( ~ epred14_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred16_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred16_0 )
    & ( ~ f1($false)
      | f2($false)
      | f2($true)
      | epred16_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ f1($true)
      | epred16_0 )
    & ( ~ f2($false)
      | ~ epred13_0
      | ~ f1($true)
      | epred16_0 )
    & ( ~ epred14_0
      | ~ f2($true)
      | ~ f1($true)
      | epred16_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ f1($true)
      | epred16_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | epred16_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])]) ).

fof(c_0_134,plain,
    ( ( epred3_0
      | ~ f2($true)
      | f1($true)
      | ~ epred6_0 )
    & ( epred4_0
      | ~ f2($false)
      | f1($true)
      | ~ epred6_0 )
    & ( epred3_0
      | f2($true)
      | f1($false)
      | ~ epred6_0 )
    & ( epred4_0
      | f2($false)
      | f1($false)
      | ~ epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f2($false)
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f2($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f1($false)
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f2($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f2($false)
      | ~ epred3_0
      | f2($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f2($true)
      | f2($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f1($false)
      | f2($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | f2($true)
      | epred6_0 )
    & ( ~ f2($false)
      | ~ epred3_0
      | ~ epred4_0
      | f2($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f2($true)
      | ~ epred4_0
      | f2($true)
      | epred6_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred4_0
      | f2($true)
      | epred6_0 )
    & ( ~ f1($false)
      | ~ epred4_0
      | f2($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f2($false)
      | f2($true)
      | epred6_0 )
    & ( ~ f2($false)
      | ~ epred3_0
      | f2($false)
      | f2($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred6_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred6_0 )
    & ( ~ f1($false)
      | f2($false)
      | f2($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ f1($true)
      | epred6_0 )
    & ( ~ f2($false)
      | ~ epred3_0
      | ~ f1($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f2($true)
      | ~ f1($true)
      | epred6_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ f1($true)
      | epred6_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | epred6_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])])]) ).

cnf(c_0_135,plain,
    ( epred6_0
    | f1($true)
    | ~ f1($false)
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_136,plain,
    ( epred6_0
    | f1($false)
    | ~ epred8_0 ),
    inference(cn,[status(thm)],[c_0_103]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ f0($true)
    | ~ f0($false) ),
    inference(cn,[status(thm)],[c_0_104]) ).

cnf(c_0_138,plain,
    ( epred16_0
    | f0($true)
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_139,negated_conjecture,
    ( epred18_0
    | epred8_0
    | ~ epred17_0
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_140,plain,
    ( epred8_0
    | epred7_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_80]),c_0_110]) ).

cnf(c_0_141,plain,
    ( f0($false)
    | f0($false)
    | epred17_0
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_142,plain,
    ( f4($true)
    | epred12_0
    | ~ f3($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

fof(c_0_143,plain,
    ( ( epred11_0
      | ~ f2($true)
      | f2($true)
      | ~ epred14_0 )
    & ( epred12_0
      | ~ f2($false)
      | f2($true)
      | ~ epred14_0 )
    & ( epred11_0
      | f2($true)
      | f2($false)
      | ~ epred14_0 )
    & ( epred12_0
      | f2($false)
      | f2($false)
      | ~ epred14_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f2($false)
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | epred14_0 )
    & ( ~ epred12_0
      | ~ f2($true)
      | ~ epred12_0
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred12_0
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f2($false)
      | ~ epred12_0
      | ~ epred11_0
      | epred14_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | f2($false)
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f2($false)
      | ~ epred11_0
      | f2($false)
      | ~ epred11_0
      | epred14_0 )
    & ( ~ epred12_0
      | ~ f2($true)
      | f2($false)
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred11_0
      | epred14_0 )
    & ( ~ f2($false)
      | f2($false)
      | ~ epred11_0
      | epred14_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0
      | f2($true)
      | epred14_0 )
    & ( ~ f2($false)
      | ~ epred11_0
      | ~ epred12_0
      | f2($true)
      | epred14_0 )
    & ( ~ epred12_0
      | ~ f2($true)
      | ~ epred12_0
      | f2($true)
      | epred14_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred12_0
      | f2($true)
      | epred14_0 )
    & ( ~ f2($false)
      | ~ epred12_0
      | f2($true)
      | epred14_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | f2($false)
      | f2($true)
      | epred14_0 )
    & ( ~ f2($false)
      | ~ epred11_0
      | f2($false)
      | f2($true)
      | epred14_0 )
    & ( ~ epred12_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred14_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred14_0 )
    & ( ~ f2($false)
      | f2($false)
      | f2($true)
      | epred14_0 )
    & ( ~ epred12_0
      | ~ epred11_0
      | ~ f2($true)
      | epred14_0 )
    & ( ~ f2($false)
      | ~ epred11_0
      | ~ f2($true)
      | epred14_0 )
    & ( ~ epred12_0
      | ~ f2($true)
      | ~ f2($true)
      | epred14_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ f2($true)
      | epred14_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | epred14_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_113])])]) ).

cnf(c_0_144,plain,
    ( epred11_0
    | epred2_0
    | f3($true)
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_29]),c_0_87]),c_0_115]) ).

cnf(c_0_145,plain,
    ( epred11_0
    | ~ epred10_0
    | ~ epred1_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_146,plain,
    ( epred10_0
    | epred9_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

fof(c_0_147,plain,
    ( ( epred3_0
      | ~ f2($true)
      | ~ f1($true)
      | ~ epred5_0 )
    & ( epred4_0
      | ~ f2($false)
      | ~ f1($true)
      | ~ epred5_0 )
    & ( epred3_0
      | f2($true)
      | ~ f1($false)
      | ~ epred5_0 )
    & ( epred4_0
      | f2($false)
      | ~ f1($false)
      | ~ epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f2($false)
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f2($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( f1($false)
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f2($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f2($false)
      | ~ epred3_0
      | f2($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f2($true)
      | f2($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred3_0
      | epred5_0 )
    & ( f1($false)
      | f2($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | f2($true)
      | epred5_0 )
    & ( ~ f2($false)
      | ~ epred3_0
      | ~ epred4_0
      | f2($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f2($true)
      | ~ epred4_0
      | f2($true)
      | epred5_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred4_0
      | f2($true)
      | epred5_0 )
    & ( f1($false)
      | ~ epred4_0
      | f2($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f2($false)
      | f2($true)
      | epred5_0 )
    & ( ~ f2($false)
      | ~ epred3_0
      | f2($false)
      | f2($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred5_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred5_0 )
    & ( f1($false)
      | f2($false)
      | f2($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f1($true)
      | epred5_0 )
    & ( ~ f2($false)
      | ~ epred3_0
      | f1($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f2($true)
      | f1($true)
      | epred5_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f1($true)
      | epred5_0 )
    & ( f1($false)
      | f1($true)
      | epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])])]) ).

cnf(c_0_148,plain,
    ( f3($true)
    | epred3_0
    | ~ f3($false)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_149,plain,
    ( epred3_0
    | f3($false)
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[c_0_121]) ).

cnf(c_0_150,plain,
    ( epred3_0
    | ~ epred2_0
    | ~ epred1_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_151,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ f3($false) ),
    inference(csr,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_152,plain,
    ( epred4_0
    | ~ epred1_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_124]) ).

cnf(c_0_153,plain,
    ( epred2_0
    | epred1_0
    | f3($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),c_0_70]) ).

cnf(c_0_154,plain,
    ( f3($false)
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_16]),c_0_97]),c_0_128]) ).

cnf(c_0_155,plain,
    ( epred2_0
    | f3($true)
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_156,plain,
    ( epred1_0
    | ~ f3($true)
    | ~ f3($true)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_157,plain,
    ( epred11_0
    | f2($true)
    | ~ f2($false)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_158,plain,
    ( epred11_0
    | ~ epred13_0
    | ~ f2($true) ),
    inference(cn,[status(thm)],[c_0_131]) ).

cnf(c_0_159,plain,
    ( epred14_0
    | f2($false)
    | ~ f1($false)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_160,plain,
    ( epred14_0
    | f2($false)
    | f1($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_161,plain,
    ( epred13_0
    | f2($true)
    | ~ f1($false)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_162,plain,
    ( epred13_0
    | f2($true)
    | f1($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_163,plain,
    ( epred6_0
    | ~ f1($false)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_164,plain,
    ( epred6_0
    | f1($true)
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_165,negated_conjecture,
    ( epred16_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_106]),c_0_138]) ).

cnf(c_0_166,negated_conjecture,
    ( epred18_0
    | epred8_0
    | ~ epred17_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_167,plain,
    ( f0($true)
    | epred17_0
    | ~ f0($false)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_168,plain,
    ( epred17_0
    | f0($false)
    | ~ epred15_0 ),
    inference(cn,[status(thm)],[c_0_141]) ).

cnf(c_0_169,plain,
    ( epred12_0
    | ~ epred10_0
    | ~ f4($true)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_170,plain,
    ( epred12_0
    | epred11_0
    | f3($true)
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_142]),c_0_87]) ).

cnf(c_0_171,plain,
    ( epred10_0
    | f3($true)
    | ~ f4($false)
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_172,plain,
    ( epred10_0
    | f4($false)
    | f3($false)
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_173,plain,
    ( epred9_0
    | f3($true)
    | ~ f4($true)
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_174,plain,
    ( epred9_0
    | f4($true)
    | f3($false)
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_175,plain,
    ( epred12_0
    | f2($false)
    | f2($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_176,plain,
    ( epred11_0
    | epred2_0
    | f3($false)
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_59]),c_0_144]),c_0_115]) ).

cnf(c_0_177,plain,
    ( epred11_0
    | ~ epred10_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_86]),c_0_117]),c_0_145]) ).

cnf(c_0_178,plain,
    ( epred10_0
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_65]),c_0_119]),c_0_146]) ).

cnf(c_0_179,plain,
    ( f1($false)
    | f2($true)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_180,plain,
    ( epred3_0
    | f3($true)
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_181,plain,
    ( epred3_0
    | ~ epred1_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_150]) ).

cnf(c_0_182,plain,
    ( epred4_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_30]),c_0_123]),c_0_152]) ).

cnf(c_0_183,plain,
    ( epred2_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_153]),c_0_70]) ).

cnf(c_0_184,plain,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_154]),c_0_97]) ).

cnf(c_0_185,plain,
    ( epred2_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_130]),c_0_155]) ).

cnf(c_0_186,plain,
    ( epred1_0
    | f3($true)
    | ~ f3($false)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_187,plain,
    ( epred1_0
    | ~ epred3_0
    | ~ f3($true) ),
    inference(cn,[status(thm)],[c_0_156]) ).

cnf(c_0_188,plain,
    ( epred4_0
    | f2($false)
    | ~ f1($false)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_189,plain,
    ( epred4_0
    | f2($false)
    | f1($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_190,plain,
    ( epred3_0
    | f2($true)
    | ~ f1($false)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_191,plain,
    ( epred3_0
    | f2($true)
    | f1($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_192,plain,
    ( epred11_0
    | ~ epred13_0
    | ~ f2($false) ),
    inference(csr,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_193,plain,
    ( epred11_0
    | f2($true)
    | f2($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_194,plain,
    ( epred14_0
    | ~ f2($false)
    | ~ f1($true)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_195,plain,
    ( epred14_0
    | f1($true)
    | ~ f2($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_196,plain,
    ( epred14_0
    | f2($false)
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_197,plain,
    ( epred13_0
    | ~ f2($true)
    | ~ f1($true)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_198,plain,
    ( epred13_0
    | f1($true)
    | ~ f2($true)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_199,plain,
    ( epred13_0
    | f2($true)
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_200,plain,
    ( epred6_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_136]),c_0_164]) ).

cnf(c_0_201,negated_conjecture,
    ( epred16_0
    | epred8_0
    | ~ epred17_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_202,plain,
    ( epred17_0
    | f0($true)
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_203,plain,
    ( epred5_0
    | ~ f1($true)
    | ~ f1($true)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ epred18_0
    | ~ f0($true)
    | ~ epred8_0
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_205,negated_conjecture,
    ( epred17_0
    | f0($true)
    | epred7_0
    | f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_206,plain,
    ( epred18_0
    | ~ epred16_0
    | ~ f0($true)
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_207,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ f1($true)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_208,plain,
    ( epred12_0
    | ~ f3($false)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_209,plain,
    ( epred12_0
    | epred11_0
    | f3($false)
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_85]),c_0_170]) ).

cnf(c_0_210,plain,
    ( f4($true)
    | f4($false)
    | ~ x
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_211,plain,
    ( x
    | ~ f4($false)
    | ~ f4($true)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_212,plain,
    ( epred10_0
    | f4($false)
    | ~ f3($false)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_213,plain,
    ( epred10_0
    | f3($false)
    | f3($true)
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_214,plain,
    ( epred9_0
    | f4($true)
    | ~ f3($false)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_215,plain,
    ( epred9_0
    | f3($false)
    | f3($true)
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_216,plain,
    ( epred12_0
    | f2($true)
    | ~ f2($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_217,plain,
    ( epred12_0
    | f2($false)
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[c_0_175]) ).

cnf(c_0_218,plain,
    ( epred11_0
    | epred2_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_176]),c_0_144]) ).

cnf(c_0_219,plain,
    ( epred11_0
    | epred9_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_220,plain,
    ( f2($false)
    | f2($true)
    | epred16_0
    | ~ f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_221,plain,
    ( f1($false)
    | f2($false)
    | f2($true)
    | epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_222,plain,
    ( f1($true)
    | epred5_0
    | ~ epred4_0
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_223,plain,
    ( epred13_0
    | epred5_0
    | f2($true)
    | ~ epred15_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_161,c_0_179]) ).

cnf(c_0_224,plain,
    ( epred3_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_149]),c_0_180]),c_0_181]) ).

cnf(c_0_225,plain,
    ( epred4_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_226,plain,
    ( ~ epred4_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_227,plain,
    ( epred1_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_186,c_0_30]),c_0_187]) ).

cnf(c_0_228,plain,
    ( epred4_0
    | ~ f2($false)
    | ~ f1($true)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_229,plain,
    ( epred4_0
    | f1($true)
    | ~ f2($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_230,plain,
    ( epred4_0
    | f2($false)
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_231,plain,
    ( epred3_0
    | ~ f2($true)
    | ~ f1($true)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_232,plain,
    ( epred3_0
    | f1($true)
    | ~ f2($true)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_233,plain,
    ( epred3_0
    | f2($true)
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_234,plain,
    ( epred11_0
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_158]) ).

cnf(c_0_235,plain,
    ( epred14_0
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]) ).

cnf(c_0_236,plain,
    ( epred13_0
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).

cnf(c_0_237,plain,
    ( epred16_0
    | epred6_0
    | ~ epred17_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_200,c_0_201]) ).

cnf(c_0_238,negated_conjecture,
    ( epred17_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_168]),c_0_202]) ).

cnf(c_0_239,plain,
    ( epred15_0
    | f0($true)
    | ~ f0($false)
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_240,plain,
    ( epred5_0
    | f1($true)
    | ~ f1($false)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_241,plain,
    ( f1($false)
    | f1($true)
    | epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_242,plain,
    ( epred5_0
    | ~ epred7_0
    | ~ f1($true) ),
    inference(cn,[status(thm)],[c_0_203]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ epred8_0
    | ~ epred18_0
    | ~ f0($true) ),
    inference(cn,[status(thm)],[c_0_204]) ).

cnf(c_0_244,negated_conjecture,
    ( epred7_0
    | epred17_0
    | f0($true) ),
    inference(cn,[status(thm)],[c_0_205]) ).

cnf(c_0_245,plain,
    ( f0($true)
    | epred18_0
    | ~ f0($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_246,plain,
    ( epred18_0
    | ~ epred16_0
    | ~ f0($true) ),
    inference(cn,[status(thm)],[c_0_206]) ).

cnf(c_0_247,plain,
    ( f1($true)
    | epred8_0
    | ~ f1($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_248,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ f1($true) ),
    inference(cn,[status(thm)],[c_0_207]) ).

cnf(c_0_249,plain,
    ( f2($true)
    | epred6_0
    | ~ f1($false)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_250,plain,
    ( f1($false)
    | f2($true)
    | epred15_0
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_251,plain,
    ( f2($true)
    | epred14_0
    | ~ f2($false)
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_252,plain,
    ( epred14_0
    | ~ f2($false)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_253,plain,
    ( f2($false)
    | f2($true)
    | epred6_0
    | ~ f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_254,plain,
    ( f1($false)
    | f2($false)
    | f2($true)
    | epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_255,plain,
    ( epred14_0
    | ~ epred12_0
    | ~ f2($true)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_256,plain,
    ( f4($false)
    | epred12_0
    | ~ f3($false)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_257,plain,
    ( epred12_0
    | epred11_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_170]) ).

cnf(c_0_258,plain,
    ( f4($false)
    | f4($true)
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[c_0_210,c_0_26]) ).

cnf(c_0_259,plain,
    ( ~ epred9_0
    | ~ f4($true)
    | ~ f4($false) ),
    inference(csr,[status(thm)],[c_0_211,c_0_38]) ).

cnf(c_0_260,plain,
    ( epred10_0
    | ~ f4($false)
    | ~ f3($true)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_261,plain,
    ( epred10_0
    | f3($true)
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_212]),c_0_213]) ).

cnf(c_0_262,plain,
    ( epred9_0
    | ~ f4($true)
    | ~ f3($true)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_263,plain,
    ( epred9_0
    | f3($true)
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_214]),c_0_215]) ).

cnf(c_0_264,plain,
    ( epred12_0
    | ~ f2($false)
    | ~ f2($true)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_265,plain,
    ( epred12_0
    | f2($true)
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_266,plain,
    ( f2($false)
    | epred6_0
    | ~ f1($false)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_267,plain,
    ( f1($false)
    | f2($false)
    | epred5_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_268,plain,
    ( epred11_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_183]) ).

cnf(c_0_269,plain,
    ( epred16_0
    | epred5_0
    | f2($false)
    | f2($true) ),
    inference(spm,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_270,plain,
    ( epred13_0
    | epred5_0
    | ~ epred15_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_222]),c_0_223]) ).

cnf(c_0_271,plain,
    ( epred4_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_272,plain,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_273,plain,
    ( epred4_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]) ).

cnf(c_0_274,plain,
    ( epred3_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]) ).

cnf(c_0_275,plain,
    ( epred11_0
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).

cnf(c_0_276,negated_conjecture,
    ( epred16_0
    | epred6_0
    | ~ epred15_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_277,plain,
    ( epred15_0
    | ~ f0($true)
    | ~ f0($true)
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_278,plain,
    ( epred15_0
    | ~ epred17_0
    | ~ f0($false) ),
    inference(csr,[status(thm)],[c_0_239,c_0_137]) ).

cnf(c_0_279,negated_conjecture,
    ( epred18_0
    | f0($false)
    | epred7_0
    | f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_280,plain,
    ( epred5_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_240,c_0_241]),c_0_242]) ).

cnf(c_0_281,negated_conjecture,
    ( epred17_0
    | epred7_0
    | ~ epred18_0
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_282,plain,
    ( epred18_0
    | ~ epred16_0
    | ~ f0($false) ),
    inference(csr,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_283,plain,
    ( f0($false)
    | f0($true)
    | epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_284,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ f1($false) ),
    inference(csr,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_285,plain,
    ( f1($false)
    | f1($true)
    | epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_286,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ epred5_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_287,plain,
    ( f2($true)
    | epred16_0
    | ~ f1($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_288,plain,
    ( epred6_0
    | ~ epred4_0
    | ~ f2($true)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_289,plain,
    ( f1($true)
    | epred15_0
    | ~ epred14_0
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_290,plain,
    ( epred15_0
    | epred6_0
    | f2($true)
    | ~ epred14_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_291,plain,
    ( epred14_0
    | ~ epred12_0
    | ~ f2($false) ),
    inference(csr,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_292,plain,
    ( epred15_0
    | epred6_0
    | f2($false)
    | f2($true) ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_293,plain,
    ( epred14_0
    | ~ epred12_0
    | ~ f2($true) ),
    inference(cn,[status(thm)],[c_0_255]) ).

cnf(c_0_294,plain,
    ( epred15_0
    | ~ epred14_0
    | ~ epred13_0
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_295,plain,
    ( epred14_0
    | ~ epred12_0
    | ~ epred11_0
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_296,plain,
    ( epred13_0
    | ~ epred12_0
    | ~ epred11_0
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_297,plain,
    ( epred12_0
    | ~ f4($false)
    | ~ epred9_0
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_298,plain,
    ( epred12_0
    | epred11_0
    | f3($true)
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_256]),c_0_87]) ).

cnf(c_0_299,plain,
    ( epred12_0
    | epred11_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_257,c_0_178]) ).

cnf(c_0_300,plain,
    ( f4($true)
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_258]),c_0_41]) ).

cnf(c_0_301,plain,
    ( x
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_26]),c_0_41]) ).

cnf(c_0_302,plain,
    ( epred10_0
    | ~ epred11_0
    | ~ f3($true)
    | ~ f3($false) ),
    inference(spm,[status(thm)],[c_0_260,c_0_212]) ).

cnf(c_0_303,plain,
    ( epred10_0
    | f3($false)
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_172]),c_0_261]) ).

cnf(c_0_304,plain,
    ( epred9_0
    | ~ epred11_0
    | ~ f3($true)
    | ~ f3($false) ),
    inference(spm,[status(thm)],[c_0_262,c_0_214]) ).

cnf(c_0_305,plain,
    ( epred9_0
    | f3($false)
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_174]),c_0_263]) ).

cnf(c_0_306,plain,
    ( epred12_0
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_217]),c_0_265]) ).

cnf(c_0_307,plain,
    ( epred6_0
    | epred5_0
    | f2($true)
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_249,c_0_179]) ).

cnf(c_0_308,plain,
    ( epred6_0
    | ~ f2($false)
    | ~ epred3_0
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_309,plain,
    ( f1($true)
    | epred5_0
    | ~ f2($false)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_310,plain,
    ( epred6_0
    | epred5_0
    | f2($false)
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_266,c_0_267]) ).

cnf(c_0_311,plain,
    ( epred11_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_182,c_0_268]) ).

cnf(c_0_312,plain,
    ( epred16_0
    | epred11_0
    | epred5_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_269]),c_0_158]) ).

cnf(c_0_313,plain,
    ( epred13_0
    | epred5_0
    | epred3_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_314,plain,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).

cnf(c_0_315,negated_conjecture,
    ( epred11_0
    | epred6_0
    | ~ epred15_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_316,plain,
    ( f2($false)
    | f2($false)
    | epred13_0
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_317,plain,
    ( epred15_0
    | ~ epred17_0
    | ~ f0($true) ),
    inference(cn,[status(thm)],[c_0_277]) ).

cnf(c_0_318,negated_conjecture,
    ( epred18_0
    | epred15_0
    | epred7_0
    | f0($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_244]) ).

cnf(c_0_319,plain,
    ( epred15_0
    | f0($true)
    | f0($false)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_320,plain,
    ( epred17_0
    | epred5_0
    | ~ epred18_0
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_321,plain,
    ( epred18_0
    | epred17_0
    | ~ epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_246]) ).

cnf(c_0_322,plain,
    ( epred8_0
    | epred7_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_248]) ).

cnf(c_0_323,plain,
    ( epred8_0
    | ~ epred5_0
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_286]) ).

cnf(c_0_324,plain,
    ( f2($false)
    | epred16_0
    | ~ f1($false)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_325,plain,
    ( f1($false)
    | f2($false)
    | epred15_0
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_326,plain,
    ( epred16_0
    | ~ epred14_0
    | ~ f2($true)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_327,plain,
    ( epred16_0
    | epred15_0
    | f2($true)
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_287,c_0_250]) ).

cnf(c_0_328,plain,
    ( f2($false)
    | f2($true)
    | epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_329,plain,
    ( epred15_0
    | epred6_0
    | ~ epred14_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_290]) ).

cnf(c_0_330,plain,
    ( epred15_0
    | epred14_0
    | epred6_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]) ).

cnf(c_0_331,plain,
    ( epred15_0
    | ~ epred13_0
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[c_0_294]) ).

cnf(c_0_332,plain,
    ( epred14_0
    | ~ epred11_0
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[c_0_295]) ).

cnf(c_0_333,plain,
    ( epred13_0
    | ~ epred11_0
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[c_0_296]) ).

cnf(c_0_334,plain,
    ( epred12_0
    | epred11_0
    | f3($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_59]),c_0_298]),c_0_299]) ).

cnf(c_0_335,plain,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_300]),c_0_301]) ).

cnf(c_0_336,plain,
    ( epred10_0
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_261]) ).

cnf(c_0_337,plain,
    ( epred9_0
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_263]) ).

cnf(c_0_338,plain,
    ( epred12_0
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_235]),c_0_236]) ).

cnf(c_0_339,plain,
    ( epred6_0
    | epred5_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_222]),c_0_307]) ).

cnf(c_0_340,plain,
    ( epred6_0
    | epred5_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_310]) ).

cnf(c_0_341,plain,
    ( epred11_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_272,c_0_311]) ).

cnf(c_0_342,plain,
    ( epred11_0
    | epred5_0
    | epred3_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_275]) ).

cnf(c_0_343,negated_conjecture,
    ( epred11_0
    | ~ epred15_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_314,c_0_315]) ).

cnf(c_0_344,plain,
    ( f2($true)
    | epred13_0
    | ~ f2($false)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_345,plain,
    ( epred13_0
    | f2($false)
    | ~ epred11_0 ),
    inference(cn,[status(thm)],[c_0_316]) ).

cnf(c_0_346,plain,
    ( epred18_0
    | epred15_0
    | epred7_0
    | ~ epred17_0 ),
    inference(spm,[status(thm)],[c_0_317,c_0_318]) ).

cnf(c_0_347,plain,
    ( epred15_0
    | ~ epred18_0
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_319]),c_0_317]) ).

cnf(c_0_348,plain,
    ( epred17_0
    | epred5_0
    | ~ epred16_0
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_320,c_0_321]) ).

cnf(c_0_349,plain,
    ( epred8_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_322]),c_0_323]) ).

cnf(c_0_350,plain,
    ( epred16_0
    | epred15_0
    | f2($false)
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_351,plain,
    ( epred16_0
    | epred15_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_289]),c_0_327]) ).

cnf(c_0_352,plain,
    ( epred14_0
    | epred13_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_328]),c_0_293]) ).

cnf(c_0_353,plain,
    ( epred15_0
    | epred6_0
    | ~ epred12_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_329,c_0_330]) ).

cnf(c_0_354,plain,
    ( epred15_0
    | ~ epred12_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333]) ).

cnf(c_0_355,plain,
    ( epred12_0
    | epred11_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_208,c_0_334]) ).

cnf(c_0_356,plain,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337]) ).

cnf(c_0_357,negated_conjecture,
    ( epred12_0
    | epred6_0
    | ~ epred15_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_338,c_0_276]) ).

cnf(c_0_358,plain,
    ( epred6_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_271]),c_0_340]) ).

cnf(c_0_359,plain,
    ( epred11_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_343]) ).

cnf(c_0_360,plain,
    ( epred13_0
    | f2($true)
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[c_0_344,c_0_345]) ).

cnf(c_0_361,plain,
    ( epred15_0
    | epred5_0
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_346]),c_0_347]) ).

cnf(c_0_362,plain,
    ( epred17_0
    | epred5_0
    | ~ epred16_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_348,c_0_349]) ).

cnf(c_0_363,plain,
    ( epred16_0
    | epred15_0
    | epred11_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_192,c_0_350]) ).

cnf(c_0_364,plain,
    ( epred16_0
    | epred15_0
    | epred13_0
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_365,plain,
    ( epred15_0
    | epred6_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_311]),c_0_354]) ).

cnf(c_0_366,plain,
    ( epred12_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_298]),c_0_299]) ).

cnf(c_0_367,negated_conjecture,
    ( epred6_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_358]),c_0_359]) ).

cnf(c_0_368,plain,
    ( epred9_0
    | x
    | ~ epred11_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_262,c_0_91]) ).

cnf(c_0_369,plain,
    ( epred9_0
    | epred1_0
    | f3($true)
    | x ),
    inference(spm,[status(thm)],[c_0_28,c_0_65]) ).

cnf(c_0_370,plain,
    ( epred16_0
    | ~ f2($false)
    | ~ epred13_0
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_371,plain,
    ( f1($true)
    | epred15_0
    | ~ f2($false)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_372,plain,
    ( epred14_0
    | epred13_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_345]),c_0_360]) ).

cnf(c_0_373,plain,
    ( epred15_0
    | epred5_0
    | ~ epred16_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_361,c_0_362]) ).

cnf(c_0_374,plain,
    ( epred16_0
    | epred15_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_364]),c_0_354]) ).

cnf(c_0_375,plain,
    ( epred11_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_367]) ).

cnf(c_0_376,plain,
    ( epred9_0
    | epred1_0
    | x
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_377,plain,
    ( epred16_0
    | epred15_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_350]) ).

cnf(c_0_378,plain,
    ( epred16_0
    | epred15_0
    | epred13_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_372]) ).

cnf(c_0_379,plain,
    ( epred6_0
    | ~ f2($false)
    | ~ f2($true)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_380,plain,
    ( f1($true)
    | epred15_0
    | ~ f2($false)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_381,plain,
    ( epred15_0
    | epred5_0
    | ~ epred12_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_373,c_0_374]) ).

cnf(c_0_382,plain,
    ( epred11_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_314,c_0_375]) ).

cnf(c_0_383,plain,
    ( epred10_0
    | ~ epred11_0
    | ~ f3($false)
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_212]),c_0_178]) ).

cnf(c_0_384,plain,
    ( epred10_0
    | f3($false)
    | ~ epred2_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_118,c_0_32]) ).

cnf(c_0_385,plain,
    ( epred9_0
    | epred1_0
    | f3($true)
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_214]),c_0_376]),c_0_30]) ).

cnf(c_0_386,plain,
    ( epred16_0
    | epred15_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_377,c_0_378]) ).

cnf(c_0_387,plain,
    ( epred15_0
    | epred6_0
    | ~ f2($true)
    | ~ f2($false) ),
    inference(spm,[status(thm)],[c_0_379,c_0_380]) ).

cnf(c_0_388,plain,
    ( epred14_0
    | epred4_0
    | f2($false)
    | ~ epred16_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_160]) ).

cnf(c_0_389,plain,
    epred11_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_366]),c_0_375]),c_0_382]),c_0_359]) ).

cnf(c_0_390,plain,
    ( epred10_0
    | ~ epred11_0
    | ~ epred2_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_383,c_0_384]) ).

cnf(c_0_391,plain,
    ( epred9_0
    | epred1_0
    | f3($false)
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_126]),c_0_376]),c_0_385]) ).

cnf(c_0_392,plain,
    ( f1($true)
    | epred5_0
    | ~ f2($false)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_393,plain,
    ( epred15_0
    | epred5_0
    | ~ epred11_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_373,c_0_386]) ).

cnf(c_0_394,plain,
    ( epred15_0
    | epred12_0
    | epred6_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_217]),c_0_265]) ).

cnf(c_0_395,plain,
    ( epred6_0
    | ~ epred4_0
    | ~ epred3_0
    | ~ epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_396,plain,
    ( epred14_0
    | epred4_0
    | ~ epred16_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_195]),c_0_388]) ).

cnf(c_0_397,plain,
    ~ epred12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_389])]) ).

cnf(c_0_398,plain,
    ( epred10_0
    | ~ epred2_0
    | ~ x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_389])]) ).

cnf(c_0_399,plain,
    ( epred12_0
    | x
    | ~ epred10_0
    | ~ f3($true) ),
    inference(spm,[status(thm)],[c_0_169,c_0_41]) ).

cnf(c_0_400,plain,
    ( f3($true)
    | x
    | ~ epred10_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_26]) ).

cnf(c_0_401,plain,
    ( epred12_0
    | epred1_0
    | f3($true)
    | x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_256]),c_0_30]),c_0_369]) ).

cnf(c_0_402,plain,
    ( epred9_0
    | epred1_0
    | f3($false) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_391,c_0_389])]) ).

cnf(c_0_403,plain,
    ( epred9_0
    | epred1_0
    | f3($true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_385,c_0_389])]) ).

cnf(c_0_404,plain,
    ( epred13_0
    | epred5_0
    | ~ epred15_0
    | ~ f2($true)
    | ~ f2($false) ),
    inference(spm,[status(thm)],[c_0_197,c_0_392]) ).

cnf(c_0_405,plain,
    ( epred15_0
    | epred5_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_393,c_0_358]) ).

cnf(c_0_406,plain,
    ( epred15_0
    | epred13_0
    | epred6_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_372]),c_0_354]) ).

cnf(c_0_407,plain,
    ( epred16_0
    | ~ epred14_0
    | ~ epred13_0
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_408,plain,
    ( epred14_0
    | epred4_0
    | f2($false)
    | ~ epred15_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_159,c_0_189]) ).

cnf(c_0_409,plain,
    ( epred6_0
    | ~ epred3_0
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_395]) ).

cnf(c_0_410,plain,
    ( epred15_0
    | epred4_0
    | ~ epred13_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_396]),c_0_377]) ).

cnf(c_0_411,plain,
    ( f3($false)
    | ~ epred2_0
    | ~ x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_32]),c_0_397]),c_0_51]),c_0_398]) ).

cnf(c_0_412,plain,
    ( epred12_0
    | x
    | ~ epred10_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_413,plain,
    ( epred1_0
    | f3($true)
    | x ),
    inference(sr,[status(thm)],[c_0_401,c_0_397]) ).

cnf(c_0_414,plain,
    ( epred9_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_402]),c_0_397]),c_0_403]) ).

cnf(c_0_415,plain,
    ( epred13_0
    | epred5_0
    | ~ epred15_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_345]),c_0_360]) ).

cnf(c_0_416,plain,
    ( epred15_0
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_389])]) ).

cnf(c_0_417,plain,
    ( epred16_0
    | epred4_0
    | ~ epred6_0
    | ~ f2($true)
    | ~ f2($false) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_229]),c_0_252]) ).

cnf(c_0_418,plain,
    ( epred13_0
    | f2($false) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_389])]) ).

cnf(c_0_419,plain,
    ( epred13_0
    | f2($true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_389])]) ).

cnf(c_0_420,plain,
    ( epred13_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_389])]),c_0_367]) ).

cnf(c_0_421,plain,
    ( epred16_0
    | ~ epred13_0
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[c_0_407]) ).

cnf(c_0_422,plain,
    ( epred14_0
    | epred4_0
    | ~ epred15_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_229]),c_0_408]) ).

cnf(c_0_423,plain,
    ( epred13_0
    | epred4_0
    | ~ epred15_0
    | ~ epred6_0
    | ~ f2($true)
    | ~ f2($false) ),
    inference(spm,[status(thm)],[c_0_197,c_0_229]) ).

cnf(c_0_424,plain,
    ( epred15_0
    | epred6_0
    | ~ epred13_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_340]) ).

cnf(c_0_425,plain,
    ( ~ epred2_0
    | ~ f3($true)
    | ~ x ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_411]),c_0_397]) ).

cnf(c_0_426,plain,
    ( epred12_0
    | f3($true)
    | ~ epred10_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_142]),c_0_412]),c_0_51]) ).

cnf(c_0_427,plain,
    ( epred1_0
    | f3($false)
    | x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_69]),c_0_397]),c_0_413]),c_0_414]) ).

cnf(c_0_428,plain,
    ( epred13_0
    | epred4_0
    | ~ epred16_0
    | ~ epred5_0
    | ~ f2($false)
    | ~ f2($true) ),
    inference(spm,[status(thm)],[c_0_228,c_0_198]) ).

cnf(c_0_429,plain,
    ( epred13_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_415,c_0_389])]),c_0_416]) ).

cnf(c_0_430,plain,
    ( epred16_0
    | epred13_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]),c_0_420]) ).

cnf(c_0_431,plain,
    ( epred16_0
    | epred4_0
    | ~ epred13_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_377]) ).

cnf(c_0_432,plain,
    ( epred13_0
    | epred4_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_418]),c_0_419]),c_0_367]) ).

cnf(c_0_433,plain,
    ( epred15_0
    | epred6_0
    | ~ epred11_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_424,c_0_406]) ).

cnf(c_0_434,plain,
    ( ~ epred2_0
    | ~ x ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_397]),c_0_398]) ).

cnf(c_0_435,plain,
    ( epred1_0
    | x ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_427]),c_0_397]),c_0_413]) ).

cnf(c_0_436,plain,
    ( epred13_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_418]),c_0_419]),c_0_429]),c_0_430]) ).

cnf(c_0_437,plain,
    ( epred16_0
    | ~ epred13_0
    | ~ epred6_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_272,c_0_431]) ).

cnf(c_0_438,plain,
    ( epred13_0
    | ~ epred15_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_272,c_0_432]) ).

cnf(c_0_439,plain,
    ( epred6_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_433,c_0_389])]),c_0_367]) ).

cnf(c_0_440,plain,
    ( epred16_0
    | epred15_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_386,c_0_389])]) ).

cnf(c_0_441,plain,
    epred1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_183]) ).

cnf(c_0_442,plain,
    ( epred15_0
    | ~ epred13_0
    | ~ epred5_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_272,c_0_410]) ).

cnf(c_0_443,plain,
    ( epred13_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_272,c_0_436]) ).

cnf(c_0_444,plain,
    ( epred16_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_438]),c_0_439]),c_0_440]) ).

cnf(c_0_445,plain,
    epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_441])]) ).

cnf(c_0_446,plain,
    ( epred15_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_443]),c_0_416]) ).

cnf(c_0_447,plain,
    epred16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_444,c_0_445])]) ).

cnf(c_0_448,plain,
    epred15_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_445])]) ).

cnf(c_0_449,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_447])]),c_0_397]),c_0_448])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem    : SYO500_8.005 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n022.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon May 20 10:48:07 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  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
% 0.14/0.54  # Version: 3.1.0
% 0.14/0.54  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.54  # Starting sh5l with 300s (1) cores
% 0.14/0.54  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 23364 completed with status 0
% 0.14/0.54  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/0.54  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.54  # No SInE strategy applied
% 0.14/0.54  # Search class: FGHNF-FSLM00-SFFFFFNN
% 0.14/0.54  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.54  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 675s (1) cores
% 0.14/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.54  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 0.14/0.54  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 136s (1) cores
% 0.14/0.54  # Starting G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S071I with 136s (1) cores
% 0.14/0.54  # G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with pid 23373 completed with status 0
% 0.14/0.54  # Result found by G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y
% 0.14/0.54  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.54  # No SInE strategy applied
% 0.14/0.54  # Search class: FGHNF-FSLM00-SFFFFFNN
% 0.14/0.54  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.54  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 675s (1) cores
% 0.14/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.54  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 0.14/0.54  # Preprocessing time       : 0.004 s
% 0.14/0.54  # Presaturation interreduction done
% 0.14/0.54  
% 0.14/0.54  # Proof found!
% 0.14/0.54  # SZS status Theorem
% 0.14/0.54  # SZS output start CNFRefutation
% See solution above
% 0.14/0.55  # Parsed axioms                        : 7
% 0.14/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.55  # Initial clauses                      : 548
% 0.14/0.55  # Removed in clause preprocessing      : 206
% 0.14/0.55  # Initial clauses in saturation        : 342
% 0.14/0.55  # Processed clauses                    : 1909
% 0.14/0.55  # ...of these trivial                  : 4
% 0.14/0.55  # ...subsumed                          : 1058
% 0.14/0.55  # ...remaining for further processing  : 846
% 0.14/0.55  # Other redundant clauses eliminated   : 0
% 0.14/0.55  # Clauses deleted for lack of memory   : 0
% 0.14/0.55  # Backward-subsumed                    : 402
% 0.14/0.55  # Backward-rewritten                   : 219
% 0.14/0.55  # Generated clauses                    : 4174
% 0.14/0.55  # ...of the previous two non-redundant : 2172
% 0.14/0.55  # ...aggressively subsumed             : 0
% 0.14/0.55  # Contextual simplify-reflections      : 249
% 0.14/0.55  # Paramodulations                      : 4169
% 0.14/0.55  # Factorizations                       : 0
% 0.14/0.55  # NegExts                              : 0
% 0.14/0.55  # Equation resolutions                 : 0
% 0.14/0.55  # Disequality decompositions           : 0
% 0.14/0.55  # Total rewrite steps                  : 226
% 0.14/0.55  # ...of those cached                   : 216
% 0.14/0.55  # Propositional unsat checks           : 0
% 0.14/0.55  #    Propositional check models        : 0
% 0.14/0.55  #    Propositional check unsatisfiable : 0
% 0.14/0.55  #    Propositional clauses             : 0
% 0.14/0.55  #    Propositional clauses after purity: 0
% 0.14/0.55  #    Propositional unsat core size     : 0
% 0.14/0.55  #    Propositional preprocessing time  : 0.000
% 0.14/0.55  #    Propositional encoding time       : 0.000
% 0.14/0.55  #    Propositional solver time         : 0.000
% 0.14/0.55  #    Success case prop preproc time    : 0.000
% 0.14/0.55  #    Success case prop encoding time   : 0.000
% 0.14/0.55  #    Success case prop solver time     : 0.000
% 0.14/0.55  # Current number of processed clauses  : 59
% 0.14/0.55  #    Positive orientable unit clauses  : 10
% 0.14/0.55  #    Positive unorientable unit clauses: 0
% 0.14/0.55  #    Negative unit clauses             : 4
% 0.14/0.55  #    Non-unit-clauses                  : 45
% 0.14/0.55  # Current number of unprocessed clauses: 400
% 0.14/0.55  # ...number of literals in the above   : 2359
% 0.14/0.55  # Current number of archived formulas  : 0
% 0.14/0.55  # Current number of archived clauses   : 787
% 0.14/0.55  # Clause-clause subsumption calls (NU) : 89196
% 0.14/0.55  # Rec. Clause-clause subsumption calls : 27024
% 0.14/0.55  # Non-unit clause-clause subsumptions  : 1651
% 0.14/0.55  # Unit Clause-clause subsumption calls : 1284
% 0.14/0.55  # Rewrite failures with RHS unbound    : 0
% 0.14/0.55  # BW rewrite match attempts            : 10
% 0.14/0.55  # BW rewrite match successes           : 10
% 0.14/0.55  # Condensation attempts                : 0
% 0.14/0.55  # Condensation successes               : 0
% 0.14/0.55  # Termbank termtop insertions          : 86528
% 0.14/0.55  # Search garbage collected termcells   : 2926
% 0.14/0.55  
% 0.14/0.55  # -------------------------------------------------
% 0.14/0.55  # User time                : 0.127 s
% 0.14/0.55  # System time              : 0.003 s
% 0.14/0.55  # Total time               : 0.130 s
% 0.14/0.55  # Maximum resident set size: 2808 pages
% 0.14/0.55  
% 0.14/0.55  # -------------------------------------------------
% 0.14/0.55  # User time                : 0.570 s
% 0.14/0.55  # System time              : 0.011 s
% 0.14/0.55  # Total time               : 0.581 s
% 0.14/0.55  # Maximum resident set size: 2008 pages
% 0.14/0.55  % E---3.1 exiting
% 0.14/0.55  % E exiting
%------------------------------------------------------------------------------