E---3.5.1.THM-CRf.s

%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYO500_8.005 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:47:07 PM UTC 2026

% Result   : Theorem 0.51s 0.55s
% Output   : CNFRefutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  434 (   9 unt;   0 def)
%            Number of atoms       : 14129 (   0 equ)
%            Maximal formula atoms : 3071 (  32 avg)
%            Number of connectives : 20755 (7060   ~;9703   |;3957   &)
%                                         (  35 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   6 avg)
%            Maximal term depth    :    0 (   0 avg)
%            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   ?)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_23,type,
    x: $o ).

tff(decl_24,type,
    f0: $o > $o ).

tff(decl_25,type,
    f1: $o > $o ).

tff(decl_26,type,
    f2: $o > $o ).

tff(decl_27,type,
    f3: $o > $o ).

tff(decl_28,type,
    f4: $o > $o ).

tff(decl_29,type,
    epred1_0: $o ).

tff(decl_30,type,
    epred2_0: $o ).

tff(decl_31,type,
    epred3_0: $o ).

tff(decl_32,type,
    epred4_0: $o ).

tff(decl_33,type,
    epred5_0: $o ).

tff(decl_34,type,
    epred6_0: $o ).

tff(decl_35,type,
    epred7_0: $o ).

tff(decl_36,type,
    epred8_0: $o ).

tff(decl_37,type,
    epred9_0: $o ).

tff(decl_38,type,
    epred10_0: $o ).

tff(decl_39,type,
    epred11_0: $o ).

tff(decl_40,type,
    epred12_0: $o ).

tff(decl_41,type,
    epred13_0: $o ).

tff(decl_42,type,
    epred14_0: $o ).

tff(decl_43,type,
    epred15_0: $o ).

tff(decl_44,type,
    epred16_0: $o ).

tff(decl_45,type,
    epred17_0: $o ).

tff(decl_46,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/sandbox/benchmark/theBenchmark.p',kaminski5) ).

fof(c_0_1,plain,
    ( epred9_0
  <=> ( ( ~ f4($false)
        | ( ( f4($false)
            | x )
          & ( f4($true)
            | ~ x ) ) )
      & ( ~ f4($true)
        | ( ( ~ f4($false)
            | x )
          & ( ~ f4($true)
            | ~ x ) ) ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( ( epred9_0
      | f4($true)
      | f4($false) )
    & ( epred9_0
      | f4($true)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred9_0
      | f4($true)
      | ~ f4($true)
      | ~ x )
    & ( epred9_0
      | f4($true)
      | x
      | ~ f4($false) )
    & ( epred9_0
      | f4($true)
      | x
      | ~ x )
    & ( epred9_0
      | f4($true)
      | f4($false)
      | f4($false) )
    & ( epred9_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred9_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ x )
    & ( epred9_0
      | f4($true)
      | f4($false)
      | x
      | ~ f4($false) )
    & ( epred9_0
      | f4($true)
      | f4($false)
      | x
      | ~ x )
    & ( epred9_0
      | f4($true)
      | ~ x
      | f4($false) )
    & ( epred9_0
      | f4($true)
      | ~ x
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred9_0
      | f4($true)
      | ~ x
      | ~ f4($true)
      | ~ x )
    & ( epred9_0
      | f4($true)
      | ~ x
      | x
      | ~ f4($false) )
    & ( epred9_0
      | f4($true)
      | ~ x
      | x
      | ~ x )
    & ( epred9_0
      | x
      | f4($false)
      | f4($false) )
    & ( epred9_0
      | x
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred9_0
      | x
      | f4($false)
      | ~ f4($true)
      | ~ x )
    & ( epred9_0
      | x
      | f4($false)
      | x
      | ~ f4($false) )
    & ( epred9_0
      | x
      | f4($false)
      | x
      | ~ x )
    & ( epred9_0
      | x
      | ~ x
      | f4($false) )
    & ( epred9_0
      | x
      | ~ x
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred9_0
      | x
      | ~ x
      | ~ f4($true)
      | ~ x )
    & ( epred9_0
      | x
      | ~ x
      | x
      | ~ f4($false) )
    & ( epred9_0
      | x
      | ~ x
      | x
      | ~ x )
    & ( ~ epred9_0
      | ~ f4($false)
      | f4($false)
      | x )
    & ( ~ epred9_0
      | ~ f4($false)
      | f4($true)
      | ~ x )
    & ( ~ epred9_0
      | ~ f4($true)
      | ~ f4($false)
      | x )
    & ( ~ epred9_0
      | ~ f4($true)
      | ~ f4($true)
      | ~ x ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

fof(c_0_3,plain,
    ( epred11_0
  <=> ( ( ~ f3($false)
        | ( ( f4($false)
            | ( ( f4($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( f4($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) )
          & ( f4($true)
            | ( ( ~ f4($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( ~ f4($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) ) ) )
      & ( ~ f3($true)
        | ( ( ~ f4($false)
            | ( ( f4($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( f4($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) )
          & ( ~ f4($true)
            | ( ( ~ f4($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( ~ f4($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_4,plain,
    ( epred10_0
  <=> ( ( f4($false)
        | ( ( f4($false)
            | x )
          & ( f4($true)
            | ~ x ) ) )
      & ( f4($true)
        | ( ( ~ f4($false)
            | x )
          & ( ~ f4($true)
            | ~ x ) ) ) ) ),
    introduced(definition) ).

fof(c_0_5,plain,
    ( epred2_0
  <=> ( ( f3($false)
        | ( ( f4($false)
            | x )
          & ( f4($true)
            | ~ x ) ) )
      & ( f3($true)
        | ( ( ~ f4($false)
            | x )
          & ( ~ f4($true)
            | ~ x ) ) ) ) ),
    introduced(definition) ).

cnf(c_0_6,plain,
    ( ~ epred9_0
    | ~ f4($true)
    | ~ f4($true)
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_7,plain,
    ( epred11_0
  <=> ( ( ~ f3($false)
        | ( ( f4($false)
            | epred10_0 )
          & ( f4($true)
            | epred9_0 ) ) )
      & ( ~ f3($true)
        | ( ( ~ f4($false)
            | epred10_0 )
          & ( ~ f4($true)
            | epred9_0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3,c_0_1]),c_0_4]),c_0_1]),c_0_4]) ).

fof(c_0_8,plain,
    ( ( epred2_0
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred2_0
      | ~ f3($true)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred2_0
      | ~ f3($true)
      | ~ f4($true)
      | ~ x )
    & ( epred2_0
      | ~ f3($true)
      | x
      | ~ f4($false) )
    & ( epred2_0
      | ~ f3($true)
      | x
      | ~ x )
    & ( epred2_0
      | f4($true)
      | f4($false)
      | ~ f3($false) )
    & ( epred2_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred2_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ x )
    & ( epred2_0
      | f4($true)
      | f4($false)
      | x
      | ~ f4($false) )
    & ( epred2_0
      | f4($true)
      | f4($false)
      | x
      | ~ x )
    & ( epred2_0
      | f4($true)
      | ~ x
      | ~ f3($false) )
    & ( epred2_0
      | f4($true)
      | ~ x
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred2_0
      | f4($true)
      | ~ x
      | ~ f4($true)
      | ~ x )
    & ( epred2_0
      | f4($true)
      | ~ x
      | x
      | ~ f4($false) )
    & ( epred2_0
      | f4($true)
      | ~ x
      | x
      | ~ x )
    & ( epred2_0
      | x
      | f4($false)
      | ~ f3($false) )
    & ( epred2_0
      | x
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred2_0
      | x
      | f4($false)
      | ~ f4($true)
      | ~ x )
    & ( epred2_0
      | x
      | f4($false)
      | x
      | ~ f4($false) )
    & ( epred2_0
      | x
      | f4($false)
      | x
      | ~ x )
    & ( epred2_0
      | x
      | ~ x
      | ~ f3($false) )
    & ( epred2_0
      | x
      | ~ x
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred2_0
      | x
      | ~ x
      | ~ f4($true)
      | ~ x )
    & ( epred2_0
      | x
      | ~ x
      | x
      | ~ f4($false) )
    & ( epred2_0
      | x
      | ~ x
      | x
      | ~ x )
    & ( ~ epred2_0
      | f3($false)
      | f4($false)
      | x )
    & ( ~ epred2_0
      | f3($false)
      | f4($true)
      | ~ x )
    & ( ~ epred2_0
      | f3($true)
      | ~ f4($false)
      | x )
    & ( ~ epred2_0
      | f3($true)
      | ~ f4($true)
      | ~ x ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_9,plain,
    ( ~ epred9_0
    | ~ f4($false)
    | ~ x
    | f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,plain,
    ( ~ f4($true)
    | ~ epred9_0
    | ~ x ),
    inference(cn,[status(thm)],[c_0_6]) ).

fof(c_0_11,plain,
    ( ( epred11_0
      | f3($true)
      | f3($false) )
    & ( epred11_0
      | f3($true)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred11_0
      | f3($true)
      | ~ f4($true)
      | ~ epred10_0 )
    & ( epred11_0
      | f3($true)
      | ~ epred9_0
      | ~ f4($false) )
    & ( epred11_0
      | f3($true)
      | ~ epred9_0
      | ~ epred10_0 )
    & ( epred11_0
      | f4($true)
      | f4($false)
      | f3($false) )
    & ( epred11_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred11_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ epred10_0 )
    & ( epred11_0
      | f4($true)
      | f4($false)
      | ~ epred9_0
      | ~ f4($false) )
    & ( epred11_0
      | f4($true)
      | f4($false)
      | ~ epred9_0
      | ~ epred10_0 )
    & ( epred11_0
      | f4($true)
      | ~ epred10_0
      | f3($false) )
    & ( epred11_0
      | f4($true)
      | ~ epred10_0
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred11_0
      | f4($true)
      | ~ epred10_0
      | ~ f4($true)
      | ~ epred10_0 )
    & ( epred11_0
      | f4($true)
      | ~ epred10_0
      | ~ epred9_0
      | ~ f4($false) )
    & ( epred11_0
      | f4($true)
      | ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0 )
    & ( epred11_0
      | ~ epred9_0
      | f4($false)
      | f3($false) )
    & ( epred11_0
      | ~ epred9_0
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred11_0
      | ~ epred9_0
      | f4($false)
      | ~ f4($true)
      | ~ epred10_0 )
    & ( epred11_0
      | ~ epred9_0
      | f4($false)
      | ~ epred9_0
      | ~ f4($false) )
    & ( epred11_0
      | ~ epred9_0
      | f4($false)
      | ~ epred9_0
      | ~ epred10_0 )
    & ( epred11_0
      | ~ epred9_0
      | ~ epred10_0
      | f3($false) )
    & ( epred11_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred11_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ f4($true)
      | ~ epred10_0 )
    & ( epred11_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | ~ f4($false) )
    & ( epred11_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0 )
    & ( ~ epred11_0
      | ~ f3($false)
      | f4($false)
      | epred10_0 )
    & ( ~ epred11_0
      | ~ f3($false)
      | f4($true)
      | epred9_0 )
    & ( ~ epred11_0
      | ~ f3($true)
      | ~ f4($false)
      | epred10_0 )
    & ( ~ epred11_0
      | ~ f3($true)
      | ~ f4($true)
      | epred9_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

cnf(c_0_12,plain,
    ( epred9_0
    | x
    | f4($false)
    | f4($false) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_13,plain,
    ( epred1_0
  <=> ( ( ~ f3($false)
        | ( ( f4($false)
            | x )
          & ( f4($true)
            | ~ x ) ) )
      & ( ~ f3($true)
        | ( ( ~ f4($false)
            | x )
          & ( ~ f4($true)
            | ~ x ) ) ) ) ),
    introduced(definition) ).

cnf(c_0_14,plain,
    ( ~ x
    | ~ f3($false)
    | epred2_0
    | f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,plain,
    ( ~ x
    | ~ f4($false)
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_16,plain,
    ( ~ epred9_0
    | epred11_0
    | f4($false)
    | f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( ~ f4($false)
    | epred9_0
    | f4($true)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18,plain,
    ( f4($false)
    | epred9_0
    | x ),
    inference(cn,[status(thm)],[c_0_12]) ).

fof(c_0_19,plain,
    ( epred18_0
  <=> ( ( f0($false)
        | ( ( f0($false)
            | ( ( f1($false)
                | ( ( f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              & ( f1($true)
                | ( ( ~ f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( f0($true)
            | ( ( ~ f1($false)
                | ( ( f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f1($true)
                | ( ( ~ f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      & ( f0($true)
        | ( ( ~ f0($false)
            | ( ( f1($false)
                | ( ( f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              & ( f1($true)
                | ( ( ~ f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( ~ f0($true)
            | ( ( ~ f1($false)
                | ( ( f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f1($true)
                | ( ( ~ f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_20,plain,
    ( epred15_0
  <=> ( ( ~ f1($false)
        | ( ( f2($false)
            | ( ( f2($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( f2($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( f2($true)
            | ( ( ~ f2($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f2($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      & ( ~ f1($true)
        | ( ( ~ f2($false)
            | ( ( f2($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( f2($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( ~ f2($true)
            | ( ( ~ f2($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f2($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_21,plain,
    ( epred16_0
  <=> ( ( f1($false)
        | ( ( f2($false)
            | ( ( f2($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( f2($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( f2($true)
            | ( ( ~ f2($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f2($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      & ( f1($true)
        | ( ( ~ f2($false)
            | ( ( f2($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( f2($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( ~ f2($true)
            | ( ( ~ f2($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f2($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | ( ( f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f4($true)
                            | ( ( ~ f4($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f4($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_22,plain,
    ( epred7_0
  <=> ( ( ~ f1($false)
        | ( ( f1($false)
            | ( ( f1($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( f1($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( f1($true)
            | ( ( ~ f1($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f1($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      & ( ~ f1($true)
        | ( ( ~ f1($false)
            | ( ( f1($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( f1($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( ~ f1($true)
            | ( ( ~ f1($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f1($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_23,plain,
    ( epred5_0
  <=> ( ( ~ f1($false)
        | ( ( f2($false)
            | ( ( f3($false)
                | ( ( f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( f3($true)
                | ( ( ~ f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) )
          & ( f2($true)
            | ( ( ~ f3($false)
                | ( ( f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( ~ f3($true)
                | ( ( ~ f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) ) ) )
      & ( ~ f1($true)
        | ( ( ~ f2($false)
            | ( ( f3($false)
                | ( ( f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( f3($true)
                | ( ( ~ f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) )
          & ( ~ f2($true)
            | ( ( ~ f3($false)
                | ( ( f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( ~ f3($true)
                | ( ( ~ f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_24,plain,
    ( epred6_0
  <=> ( ( f1($false)
        | ( ( f2($false)
            | ( ( f3($false)
                | ( ( f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( f3($true)
                | ( ( ~ f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) )
          & ( f2($true)
            | ( ( ~ f3($false)
                | ( ( f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( ~ f3($true)
                | ( ( ~ f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) ) ) )
      & ( f1($true)
        | ( ( ~ f2($false)
            | ( ( f3($false)
                | ( ( f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( f3($true)
                | ( ( ~ f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) )
          & ( ~ f2($true)
            | ( ( ~ f3($false)
                | ( ( f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( ~ f3($true)
                | ( ( ~ f3($false)
                    | ( ( f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f3($true)
                    | ( ( ~ f3($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_25,negated_conjecture,
    ~ ( f0(f1(f1(f1(f2(f3(f3(f3(f4(x)))))))))
    <=> f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))) ),
    inference(assume_negation,[status(cth)],[kaminski5]) ).

fof(c_0_26,plain,
    ( epred8_0
  <=> ( ( f1($false)
        | ( ( f1($false)
            | ( ( f1($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( f1($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( f1($true)
            | ( ( ~ f1($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f1($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      & ( f1($true)
        | ( ( ~ f1($false)
            | ( ( f1($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( f1($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( ~ f1($true)
            | ( ( ~ f1($false)
                | ( ( f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f1($true)
                | ( ( ~ f2($false)
                    | ( ( f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f3($false)
                        | ( ( f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) )
                      & ( ~ f3($true)
                        | ( ( ~ f3($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) )
                          & ( ~ f3($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | x )
                                  & ( f4($true)
                                    | ~ x ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | x )
                                  & ( ~ f4($true)
                                    | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_27,plain,
    ( epred17_0
  <=> ( ( ~ f0($false)
        | ( ( f0($false)
            | ( ( f1($false)
                | ( ( f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              & ( f1($true)
                | ( ( ~ f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( f0($true)
            | ( ( ~ f1($false)
                | ( ( f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f1($true)
                | ( ( ~ f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      & ( ~ f0($true)
        | ( ( ~ f0($false)
            | ( ( f1($false)
                | ( ( f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              & ( f1($true)
                | ( ( ~ f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( ~ f0($true)
            | ( ( ~ f1($false)
                | ( ( f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              & ( ~ f1($true)
                | ( ( ~ f2($false)
                    | ( ( f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
                  & ( ~ f2($true)
                    | ( ( ~ f2($false)
                        | ( ( f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) )
                      & ( ~ f2($true)
                        | ( ( ~ f2($false)
                            | ( ( f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) )
                          & ( ~ f2($true)
                            | ( ( ~ f3($false)
                                | ( ( f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) )
                              & ( ~ f3($true)
                                | ( ( ~ f4($false)
                                    | ( ( f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) )
                                  & ( ~ f4($true)
                                    | ( ( ~ f4($false)
                                        | ( ( f4($false)
                                            | x )
                                          & ( f4($true)
                                            | ~ x ) ) )
                                      & ( ~ f4($true)
                                        | ( ( ~ f4($false)
                                            | x )
                                          & ( ~ f4($true)
                                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_28,plain,
    ( ( epred1_0
      | f3($true)
      | f3($false) )
    & ( epred1_0
      | f3($true)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred1_0
      | f3($true)
      | ~ f4($true)
      | ~ x )
    & ( epred1_0
      | f3($true)
      | x
      | ~ f4($false) )
    & ( epred1_0
      | f3($true)
      | x
      | ~ x )
    & ( epred1_0
      | f4($true)
      | f4($false)
      | f3($false) )
    & ( epred1_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred1_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ x )
    & ( epred1_0
      | f4($true)
      | f4($false)
      | x
      | ~ f4($false) )
    & ( epred1_0
      | f4($true)
      | f4($false)
      | x
      | ~ x )
    & ( epred1_0
      | f4($true)
      | ~ x
      | f3($false) )
    & ( epred1_0
      | f4($true)
      | ~ x
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred1_0
      | f4($true)
      | ~ x
      | ~ f4($true)
      | ~ x )
    & ( epred1_0
      | f4($true)
      | ~ x
      | x
      | ~ f4($false) )
    & ( epred1_0
      | f4($true)
      | ~ x
      | x
      | ~ x )
    & ( epred1_0
      | x
      | f4($false)
      | f3($false) )
    & ( epred1_0
      | x
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred1_0
      | x
      | f4($false)
      | ~ f4($true)
      | ~ x )
    & ( epred1_0
      | x
      | f4($false)
      | x
      | ~ f4($false) )
    & ( epred1_0
      | x
      | f4($false)
      | x
      | ~ x )
    & ( epred1_0
      | x
      | ~ x
      | f3($false) )
    & ( epred1_0
      | x
      | ~ x
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred1_0
      | x
      | ~ x
      | ~ f4($true)
      | ~ x )
    & ( epred1_0
      | x
      | ~ x
      | x
      | ~ f4($false) )
    & ( epred1_0
      | x
      | ~ x
      | x
      | ~ x )
    & ( ~ epred1_0
      | ~ f3($false)
      | f4($false)
      | x )
    & ( ~ epred1_0
      | ~ f3($false)
      | f4($true)
      | ~ x )
    & ( ~ epred1_0
      | ~ f3($true)
      | ~ f4($false)
      | x )
    & ( ~ epred1_0
      | ~ f3($true)
      | ~ f4($true)
      | ~ x ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

cnf(c_0_29,plain,
    ( ~ epred2_0
    | ~ f4($false)
    | f3($true)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_30,plain,
    ( ~ epred2_0
    | f3($false)
    | f4($false)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_31,plain,
    ( ( epred10_0
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred10_0
      | ~ f4($true)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred10_0
      | ~ f4($true)
      | ~ f4($true)
      | ~ x )
    & ( epred10_0
      | ~ f4($true)
      | x
      | ~ f4($false) )
    & ( epred10_0
      | ~ f4($true)
      | x
      | ~ x )
    & ( epred10_0
      | f4($true)
      | f4($false)
      | ~ f4($false) )
    & ( epred10_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred10_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ x )
    & ( epred10_0
      | f4($true)
      | f4($false)
      | x
      | ~ f4($false) )
    & ( epred10_0
      | f4($true)
      | f4($false)
      | x
      | ~ x )
    & ( epred10_0
      | f4($true)
      | ~ x
      | ~ f4($false) )
    & ( epred10_0
      | f4($true)
      | ~ x
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred10_0
      | f4($true)
      | ~ x
      | ~ f4($true)
      | ~ x )
    & ( epred10_0
      | f4($true)
      | ~ x
      | x
      | ~ f4($false) )
    & ( epred10_0
      | f4($true)
      | ~ x
      | x
      | ~ x )
    & ( epred10_0
      | x
      | f4($false)
      | ~ f4($false) )
    & ( epred10_0
      | x
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred10_0
      | x
      | f4($false)
      | ~ f4($true)
      | ~ x )
    & ( epred10_0
      | x
      | f4($false)
      | x
      | ~ f4($false) )
    & ( epred10_0
      | x
      | f4($false)
      | x
      | ~ x )
    & ( epred10_0
      | x
      | ~ x
      | ~ f4($false) )
    & ( epred10_0
      | x
      | ~ x
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred10_0
      | x
      | ~ x
      | ~ f4($true)
      | ~ x )
    & ( epred10_0
      | x
      | ~ x
      | x
      | ~ f4($false) )
    & ( epred10_0
      | x
      | ~ x
      | x
      | ~ x )
    & ( ~ epred10_0
      | f4($false)
      | f4($false)
      | x )
    & ( ~ epred10_0
      | f4($false)
      | f4($true)
      | ~ x )
    & ( ~ epred10_0
      | f4($true)
      | ~ f4($false)
      | x )
    & ( ~ epred10_0
      | f4($true)
      | ~ f4($true)
      | ~ x ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_32,plain,
    ( ~ x
    | ~ f3($false)
    | ~ epred9_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_10,c_0_14]) ).

cnf(c_0_33,plain,
    ( ~ x
    | ~ epred9_0
    | f3($false)
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_34,plain,
    ( ~ f3($true)
    | ~ f4($false)
    | epred2_0
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_35,plain,
    ( ~ f4($true)
    | ~ f4($false)
    | epred11_0
    | f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_36,plain,
    ( x
    | f4($true)
    | epred9_0 ),
    inference(csr,[status(thm)],[c_0_17,c_0_18]) ).

fof(c_0_37,plain,
    ( epred12_0
  <=> ( ( f3($false)
        | ( ( f4($false)
            | ( ( f4($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( f4($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) )
          & ( f4($true)
            | ( ( ~ f4($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( ~ f4($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) ) ) )
      & ( f3($true)
        | ( ( ~ f4($false)
            | ( ( f4($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( f4($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) )
          & ( ~ f4($true)
            | ( ( ~ f4($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( ~ f4($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_38,plain,
    ( epred18_0
  <=> ( ( f0($false)
        | ( ( f0($false)
            | epred16_0 )
          & ( f0($true)
            | epred15_0 ) ) )
      & ( f0($true)
        | ( ( ~ f0($false)
            | epred16_0 )
          & ( ~ f0($true)
            | epred15_0 ) ) ) ) ),
    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_20]),c_0_21]),c_0_20]),c_0_21]) ).

fof(c_0_39,plain,
    ( epred3_0
  <=> ( ( ~ f3($false)
        | ( ( f3($false)
            | ( ( f3($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( f3($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) )
          & ( f3($true)
            | ( ( ~ f3($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( ~ f3($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) ) ) )
      & ( ~ f3($true)
        | ( ( ~ f3($false)
            | ( ( f3($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( f3($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) )
          & ( ~ f3($true)
            | ( ( ~ f3($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( ~ f3($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_40,plain,
    ( epred4_0
  <=> ( ( f3($false)
        | ( ( f3($false)
            | ( ( f3($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( f3($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) )
          & ( f3($true)
            | ( ( ~ f3($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( ~ f3($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) ) ) )
      & ( f3($true)
        | ( ( ~ f3($false)
            | ( ( f3($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( f3($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) )
          & ( ~ f3($true)
            | ( ( ~ f3($false)
                | ( ( f4($false)
                    | x )
                  & ( f4($true)
                    | ~ x ) ) )
              & ( ~ f3($true)
                | ( ( ~ f4($false)
                    | x )
                  & ( ~ f4($true)
                    | ~ x ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_41,plain,
    ( epred7_0
  <=> ( ( ~ f1($false)
        | ( ( f1($false)
            | epred6_0 )
          & ( f1($true)
            | epred5_0 ) ) )
      & ( ~ f1($true)
        | ( ( ~ f1($false)
            | epred6_0 )
          & ( ~ f1($true)
            | epred5_0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_23]),c_0_24]) ).

fof(c_0_42,negated_conjecture,
    ~ ( ( ( f0($false)
          | epred8_0 )
        & ( f0($true)
          | epred7_0 ) )
    <=> ( ( f0($false)
          | epred18_0 )
        & ( f0($true)
          | epred17_0 ) ) ),
    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)],[c_0_25]),c_0_22]),c_0_26]),c_0_27]),c_0_19]) ).

fof(c_0_43,plain,
    ( epred8_0
  <=> ( ( f1($false)
        | ( ( f1($false)
            | epred6_0 )
          & ( f1($true)
            | epred5_0 ) ) )
      & ( f1($true)
        | ( ( ~ f1($false)
            | epred6_0 )
          & ( ~ f1($true)
            | epred5_0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_26,c_0_23]),c_0_24]),c_0_23]),c_0_24]) ).

fof(c_0_44,plain,
    ( epred13_0
  <=> ( ( ~ f2($false)
        | ( ( f2($false)
            | ( ( f3($false)
                | ( ( f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( f3($true)
                | ( ( ~ f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) )
          & ( f2($true)
            | ( ( ~ f3($false)
                | ( ( f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( ~ f3($true)
                | ( ( ~ f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) ) ) )
      & ( ~ f2($true)
        | ( ( ~ f2($false)
            | ( ( f3($false)
                | ( ( f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( f3($true)
                | ( ( ~ f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) )
          & ( ~ f2($true)
            | ( ( ~ f3($false)
                | ( ( f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( ~ f3($true)
                | ( ( ~ f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

cnf(c_0_45,plain,
    ( ~ f4($false)
    | epred1_0
    | f3($true)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_46,plain,
    ( ~ f3($false)
    | epred2_0
    | x
    | f4($false) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_47,plain,
    ( epred1_0
    | f3($true)
    | f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_48,plain,
    ( ~ epred2_0
    | ~ f4($true)
    | ~ x
    | f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_49,plain,
    ( ~ epred2_0
    | ~ x
    | f3($false)
    | f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_50,plain,
    ( ~ epred2_0
    | x
    | f3($true)
    | f3($false) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_51,plain,
    ( ~ epred10_0
    | f4($false)
    | f4($false)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_52,plain,
    ( ~ epred9_0
    | ~ f4($false)
    | epred11_0
    | f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_53,plain,
    ( epred11_0
    | f3($true)
    | f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_54,plain,
    ( ~ x
    | ~ epred9_0
    | epred2_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_55,plain,
    ( ~ f3($true)
    | x
    | epred2_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_34,c_0_18]) ).

cnf(c_0_56,plain,
    ( x
    | f3($true)
    | epred9_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18]),c_0_36]) ).

fof(c_0_57,plain,
    ( epred12_0
  <=> ( ( f3($false)
        | ( ( f4($false)
            | epred10_0 )
          & ( f4($true)
            | epred9_0 ) ) )
      & ( f3($true)
        | ( ( ~ f4($false)
            | epred10_0 )
          & ( ~ f4($true)
            | epred9_0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_37,c_0_1]),c_0_4]),c_0_1]),c_0_4]) ).

fof(c_0_58,plain,
    ( ( epred18_0
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred18_0
      | ~ f0($true)
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred18_0
      | ~ f0($true)
      | ~ f0($true)
      | ~ epred16_0 )
    & ( epred18_0
      | ~ f0($true)
      | ~ epred15_0
      | ~ f0($false) )
    & ( epred18_0
      | ~ f0($true)
      | ~ epred15_0
      | ~ epred16_0 )
    & ( epred18_0
      | f0($true)
      | f0($false)
      | ~ f0($false) )
    & ( epred18_0
      | f0($true)
      | f0($false)
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred18_0
      | f0($true)
      | f0($false)
      | ~ f0($true)
      | ~ epred16_0 )
    & ( epred18_0
      | f0($true)
      | f0($false)
      | ~ epred15_0
      | ~ f0($false) )
    & ( epred18_0
      | f0($true)
      | f0($false)
      | ~ epred15_0
      | ~ epred16_0 )
    & ( epred18_0
      | f0($true)
      | ~ epred16_0
      | ~ f0($false) )
    & ( epred18_0
      | f0($true)
      | ~ epred16_0
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred18_0
      | f0($true)
      | ~ epred16_0
      | ~ f0($true)
      | ~ epred16_0 )
    & ( epred18_0
      | f0($true)
      | ~ epred16_0
      | ~ epred15_0
      | ~ f0($false) )
    & ( epred18_0
      | f0($true)
      | ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0 )
    & ( epred18_0
      | ~ epred15_0
      | f0($false)
      | ~ f0($false) )
    & ( epred18_0
      | ~ epred15_0
      | f0($false)
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred18_0
      | ~ epred15_0
      | f0($false)
      | ~ f0($true)
      | ~ epred16_0 )
    & ( epred18_0
      | ~ epred15_0
      | f0($false)
      | ~ epred15_0
      | ~ f0($false) )
    & ( epred18_0
      | ~ epred15_0
      | f0($false)
      | ~ epred15_0
      | ~ epred16_0 )
    & ( epred18_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ f0($false) )
    & ( epred18_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred18_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ f0($true)
      | ~ epred16_0 )
    & ( epred18_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | ~ f0($false) )
    & ( epred18_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0 )
    & ( ~ epred18_0
      | f0($false)
      | f0($false)
      | epred16_0 )
    & ( ~ epred18_0
      | f0($false)
      | f0($true)
      | epred15_0 )
    & ( ~ epred18_0
      | f0($true)
      | ~ f0($false)
      | epred16_0 )
    & ( ~ epred18_0
      | f0($true)
      | ~ f0($true)
      | epred15_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).

fof(c_0_59,plain,
    ( epred5_0
  <=> ( ( ~ f1($false)
        | ( ( f2($false)
            | epred4_0 )
          & ( f2($true)
            | epred3_0 ) ) )
      & ( ~ f1($true)
        | ( ( ~ f2($false)
            | epred4_0 )
          & ( ~ f2($true)
            | epred3_0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_39]),c_0_40]),c_0_39]),c_0_40]) ).

fof(c_0_60,plain,
    ( ( epred7_0
      | f1($true)
      | f1($false) )
    & ( epred7_0
      | f1($true)
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred7_0
      | f1($true)
      | ~ f1($true)
      | ~ epred6_0 )
    & ( epred7_0
      | f1($true)
      | ~ epred5_0
      | ~ f1($false) )
    & ( epred7_0
      | f1($true)
      | ~ epred5_0
      | ~ epred6_0 )
    & ( epred7_0
      | f1($true)
      | f1($false)
      | f1($false) )
    & ( epred7_0
      | f1($true)
      | f1($false)
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred7_0
      | f1($true)
      | f1($false)
      | ~ f1($true)
      | ~ epred6_0 )
    & ( epred7_0
      | f1($true)
      | f1($false)
      | ~ epred5_0
      | ~ f1($false) )
    & ( epred7_0
      | f1($true)
      | f1($false)
      | ~ epred5_0
      | ~ epred6_0 )
    & ( epred7_0
      | f1($true)
      | ~ epred6_0
      | f1($false) )
    & ( epred7_0
      | f1($true)
      | ~ epred6_0
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred7_0
      | f1($true)
      | ~ epred6_0
      | ~ f1($true)
      | ~ epred6_0 )
    & ( epred7_0
      | f1($true)
      | ~ epred6_0
      | ~ epred5_0
      | ~ f1($false) )
    & ( epred7_0
      | f1($true)
      | ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0 )
    & ( epred7_0
      | ~ epred5_0
      | f1($false)
      | f1($false) )
    & ( epred7_0
      | ~ epred5_0
      | f1($false)
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred7_0
      | ~ epred5_0
      | f1($false)
      | ~ f1($true)
      | ~ epred6_0 )
    & ( epred7_0
      | ~ epred5_0
      | f1($false)
      | ~ epred5_0
      | ~ f1($false) )
    & ( epred7_0
      | ~ epred5_0
      | f1($false)
      | ~ epred5_0
      | ~ epred6_0 )
    & ( epred7_0
      | ~ epred5_0
      | ~ epred6_0
      | f1($false) )
    & ( epred7_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred7_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ f1($true)
      | ~ epred6_0 )
    & ( epred7_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | ~ f1($false) )
    & ( epred7_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0 )
    & ( ~ epred7_0
      | ~ f1($false)
      | f1($false)
      | epred6_0 )
    & ( ~ epred7_0
      | ~ f1($false)
      | f1($true)
      | epred5_0 )
    & ( ~ epred7_0
      | ~ f1($true)
      | ~ f1($false)
      | epred6_0 )
    & ( ~ epred7_0
      | ~ f1($true)
      | ~ f1($true)
      | epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).

fof(c_0_61,negated_conjecture,
    ( ( f0($false)
      | epred8_0
      | f0($false)
      | epred18_0 )
    & ( f0($false)
      | epred8_0
      | f0($true)
      | epred17_0 )
    & ( f0($true)
      | epred7_0
      | f0($false)
      | epred18_0 )
    & ( f0($true)
      | epred7_0
      | f0($true)
      | epred17_0 )
    & ( ~ f0($true)
      | ~ f0($false)
      | ~ f0($true)
      | ~ f0($false) )
    & ( ~ f0($true)
      | ~ f0($false)
      | ~ f0($true)
      | ~ epred18_0 )
    & ( ~ f0($true)
      | ~ f0($false)
      | ~ epred17_0
      | ~ f0($false) )
    & ( ~ f0($true)
      | ~ f0($false)
      | ~ epred17_0
      | ~ epred18_0 )
    & ( ~ f0($true)
      | ~ epred8_0
      | ~ f0($true)
      | ~ f0($false) )
    & ( ~ f0($true)
      | ~ epred8_0
      | ~ f0($true)
      | ~ epred18_0 )
    & ( ~ f0($true)
      | ~ epred8_0
      | ~ epred17_0
      | ~ f0($false) )
    & ( ~ f0($true)
      | ~ epred8_0
      | ~ epred17_0
      | ~ epred18_0 )
    & ( ~ epred7_0
      | ~ f0($false)
      | ~ f0($true)
      | ~ f0($false) )
    & ( ~ epred7_0
      | ~ f0($false)
      | ~ f0($true)
      | ~ epred18_0 )
    & ( ~ epred7_0
      | ~ f0($false)
      | ~ epred17_0
      | ~ f0($false) )
    & ( ~ epred7_0
      | ~ f0($false)
      | ~ epred17_0
      | ~ epred18_0 )
    & ( ~ epred7_0
      | ~ epred8_0
      | ~ f0($true)
      | ~ f0($false) )
    & ( ~ epred7_0
      | ~ epred8_0
      | ~ f0($true)
      | ~ epred18_0 )
    & ( ~ epred7_0
      | ~ epred8_0
      | ~ epred17_0
      | ~ f0($false) )
    & ( ~ epred7_0
      | ~ epred8_0
      | ~ epred17_0
      | ~ epred18_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).

fof(c_0_62,plain,
    ( ( epred8_0
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred8_0
      | ~ f1($true)
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred8_0
      | ~ f1($true)
      | ~ f1($true)
      | ~ epred6_0 )
    & ( epred8_0
      | ~ f1($true)
      | ~ epred5_0
      | ~ f1($false) )
    & ( epred8_0
      | ~ f1($true)
      | ~ epred5_0
      | ~ epred6_0 )
    & ( epred8_0
      | f1($true)
      | f1($false)
      | ~ f1($false) )
    & ( epred8_0
      | f1($true)
      | f1($false)
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred8_0
      | f1($true)
      | f1($false)
      | ~ f1($true)
      | ~ epred6_0 )
    & ( epred8_0
      | f1($true)
      | f1($false)
      | ~ epred5_0
      | ~ f1($false) )
    & ( epred8_0
      | f1($true)
      | f1($false)
      | ~ epred5_0
      | ~ epred6_0 )
    & ( epred8_0
      | f1($true)
      | ~ epred6_0
      | ~ f1($false) )
    & ( epred8_0
      | f1($true)
      | ~ epred6_0
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred8_0
      | f1($true)
      | ~ epred6_0
      | ~ f1($true)
      | ~ epred6_0 )
    & ( epred8_0
      | f1($true)
      | ~ epred6_0
      | ~ epred5_0
      | ~ f1($false) )
    & ( epred8_0
      | f1($true)
      | ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0 )
    & ( epred8_0
      | ~ epred5_0
      | f1($false)
      | ~ f1($false) )
    & ( epred8_0
      | ~ epred5_0
      | f1($false)
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred8_0
      | ~ epred5_0
      | f1($false)
      | ~ f1($true)
      | ~ epred6_0 )
    & ( epred8_0
      | ~ epred5_0
      | f1($false)
      | ~ epred5_0
      | ~ f1($false) )
    & ( epred8_0
      | ~ epred5_0
      | f1($false)
      | ~ epred5_0
      | ~ epred6_0 )
    & ( epred8_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ f1($false) )
    & ( epred8_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred8_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ f1($true)
      | ~ epred6_0 )
    & ( epred8_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | ~ f1($false) )
    & ( epred8_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0 )
    & ( ~ epred8_0
      | f1($false)
      | f1($false)
      | epred6_0 )
    & ( ~ epred8_0
      | f1($false)
      | f1($true)
      | epred5_0 )
    & ( ~ epred8_0
      | f1($true)
      | ~ f1($false)
      | epred6_0 )
    & ( ~ epred8_0
      | f1($true)
      | ~ f1($true)
      | epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).

fof(c_0_63,plain,
    ( epred14_0
  <=> ( ( f2($false)
        | ( ( f2($false)
            | ( ( f3($false)
                | ( ( f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( f3($true)
                | ( ( ~ f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) )
          & ( f2($true)
            | ( ( ~ f3($false)
                | ( ( f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( ~ f3($true)
                | ( ( ~ f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) ) ) )
      & ( f2($true)
        | ( ( ~ f2($false)
            | ( ( f3($false)
                | ( ( f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( f3($true)
                | ( ( ~ f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) )
          & ( ~ f2($true)
            | ( ( ~ f3($false)
                | ( ( f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) )
              & ( ~ f3($true)
                | ( ( ~ f4($false)
                    | ( ( f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) )
                  & ( ~ f4($true)
                    | ( ( ~ f4($false)
                        | ( ( f4($false)
                            | x )
                          & ( f4($true)
                            | ~ x ) ) )
                      & ( ~ f4($true)
                        | ( ( ~ f4($false)
                            | x )
                          & ( ~ f4($true)
                            | ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_64,plain,
    ( epred13_0
  <=> ( ( ~ f2($false)
        | ( ( f2($false)
            | epred12_0 )
          & ( f2($true)
            | epred11_0 ) ) )
      & ( ~ f2($true)
        | ( ( ~ f2($false)
            | epred12_0 )
          & ( ~ f2($true)
            | epred11_0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_44,c_0_3]),c_0_37]),c_0_3]),c_0_37]) ).

fof(c_0_65,plain,
    ( epred4_0
  <=> ( ( f3($false)
        | ( ( f3($false)
            | epred2_0 )
          & ( f3($true)
            | epred1_0 ) ) )
      & ( f3($true)
        | ( ( ~ f3($false)
            | epred2_0 )
          & ( ~ f3($true)
            | epred1_0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_40,c_0_13]),c_0_5]),c_0_13]),c_0_5]) ).

cnf(c_0_66,plain,
    ( ~ f4($true)
    | ~ x
    | epred1_0
    | f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_67,plain,
    ( x
    | f3($true)
    | epred1_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

fof(c_0_68,plain,
    ( epred6_0
  <=> ( ( f1($false)
        | ( ( f2($false)
            | epred4_0 )
          & ( f2($true)
            | epred3_0 ) ) )
      & ( f1($true)
        | ( ( ~ f2($false)
            | epred4_0 )
          & ( ~ f2($true)
            | epred3_0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_24,c_0_39]),c_0_40]),c_0_39]),c_0_40]) ).

cnf(c_0_69,plain,
    ( ~ epred1_0
    | ~ f3($false)
    | f4($false)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_70,plain,
    ( ~ epred2_0
    | f3($true)
    | f3($false) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

cnf(c_0_71,plain,
    ( ~ epred10_0
    | ~ f4($false)
    | f4($true)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_72,plain,
    ( ~ epred10_0
    | f4($false)
    | x ),
    inference(cn,[status(thm)],[c_0_51]) ).

cnf(c_0_73,plain,
    ( ~ f4($true)
    | ~ f4($true)
    | ~ x
    | epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_74,plain,
    ( ~ x
    | ~ f4($false)
    | epred10_0
    | f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_75,plain,
    ( ~ f4($true)
    | ~ f4($false)
    | epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_76,plain,
    ( ~ epred9_0
    | f3($true)
    | epred2_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_53]),c_0_54]) ).

cnf(c_0_77,plain,
    ( x
    | epred2_0
    | epred9_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

fof(c_0_78,plain,
    ( ( epred12_0
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred12_0
      | ~ f3($true)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred12_0
      | ~ f3($true)
      | ~ f4($true)
      | ~ epred10_0 )
    & ( epred12_0
      | ~ f3($true)
      | ~ epred9_0
      | ~ f4($false) )
    & ( epred12_0
      | ~ f3($true)
      | ~ epred9_0
      | ~ epred10_0 )
    & ( epred12_0
      | f4($true)
      | f4($false)
      | ~ f3($false) )
    & ( epred12_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred12_0
      | f4($true)
      | f4($false)
      | ~ f4($true)
      | ~ epred10_0 )
    & ( epred12_0
      | f4($true)
      | f4($false)
      | ~ epred9_0
      | ~ f4($false) )
    & ( epred12_0
      | f4($true)
      | f4($false)
      | ~ epred9_0
      | ~ epred10_0 )
    & ( epred12_0
      | f4($true)
      | ~ epred10_0
      | ~ f3($false) )
    & ( epred12_0
      | f4($true)
      | ~ epred10_0
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred12_0
      | f4($true)
      | ~ epred10_0
      | ~ f4($true)
      | ~ epred10_0 )
    & ( epred12_0
      | f4($true)
      | ~ epred10_0
      | ~ epred9_0
      | ~ f4($false) )
    & ( epred12_0
      | f4($true)
      | ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0 )
    & ( epred12_0
      | ~ epred9_0
      | f4($false)
      | ~ f3($false) )
    & ( epred12_0
      | ~ epred9_0
      | f4($false)
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred12_0
      | ~ epred9_0
      | f4($false)
      | ~ f4($true)
      | ~ epred10_0 )
    & ( epred12_0
      | ~ epred9_0
      | f4($false)
      | ~ epred9_0
      | ~ f4($false) )
    & ( epred12_0
      | ~ epred9_0
      | f4($false)
      | ~ epred9_0
      | ~ epred10_0 )
    & ( epred12_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ f3($false) )
    & ( epred12_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ f4($true)
      | ~ f4($false) )
    & ( epred12_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ f4($true)
      | ~ epred10_0 )
    & ( epred12_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | ~ f4($false) )
    & ( epred12_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0 )
    & ( ~ epred12_0
      | f3($false)
      | f4($false)
      | epred10_0 )
    & ( ~ epred12_0
      | f3($false)
      | f4($true)
      | epred9_0 )
    & ( ~ epred12_0
      | f3($true)
      | ~ f4($false)
      | epred10_0 )
    & ( ~ epred12_0
      | f3($true)
      | ~ f4($true)
      | epred9_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).

fof(c_0_79,plain,
    ( epred17_0
  <=> ( ( ~ f0($false)
        | ( ( f0($false)
            | epred16_0 )
          & ( f0($true)
            | epred15_0 ) ) )
      & ( ~ f0($true)
        | ( ( ~ f0($false)
            | epred16_0 )
          & ( ~ f0($true)
            | epred15_0 ) ) ) ) ),
    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_20]),c_0_21]),c_0_20]),c_0_21]) ).

cnf(c_0_80,plain,
    ( ~ f0($true)
    | ~ f0($true)
    | ~ epred16_0
    | epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

fof(c_0_81,plain,
    ( ( epred5_0
      | f1($true)
      | f1($false) )
    & ( epred5_0
      | f1($true)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred5_0
      | f1($true)
      | ~ f2($true)
      | ~ epred4_0 )
    & ( epred5_0
      | f1($true)
      | ~ epred3_0
      | ~ f2($false) )
    & ( epred5_0
      | f1($true)
      | ~ epred3_0
      | ~ epred4_0 )
    & ( epred5_0
      | f2($true)
      | f2($false)
      | f1($false) )
    & ( epred5_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred5_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ epred4_0 )
    & ( epred5_0
      | f2($true)
      | f2($false)
      | ~ epred3_0
      | ~ f2($false) )
    & ( epred5_0
      | f2($true)
      | f2($false)
      | ~ epred3_0
      | ~ epred4_0 )
    & ( epred5_0
      | f2($true)
      | ~ epred4_0
      | f1($false) )
    & ( epred5_0
      | f2($true)
      | ~ epred4_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred5_0
      | f2($true)
      | ~ epred4_0
      | ~ f2($true)
      | ~ epred4_0 )
    & ( epred5_0
      | f2($true)
      | ~ epred4_0
      | ~ epred3_0
      | ~ f2($false) )
    & ( epred5_0
      | f2($true)
      | ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0 )
    & ( epred5_0
      | ~ epred3_0
      | f2($false)
      | f1($false) )
    & ( epred5_0
      | ~ epred3_0
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred5_0
      | ~ epred3_0
      | f2($false)
      | ~ f2($true)
      | ~ epred4_0 )
    & ( epred5_0
      | ~ epred3_0
      | f2($false)
      | ~ epred3_0
      | ~ f2($false) )
    & ( epred5_0
      | ~ epred3_0
      | f2($false)
      | ~ epred3_0
      | ~ epred4_0 )
    & ( epred5_0
      | ~ epred3_0
      | ~ epred4_0
      | f1($false) )
    & ( epred5_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred5_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ f2($true)
      | ~ epred4_0 )
    & ( epred5_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | ~ f2($false) )
    & ( epred5_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0 )
    & ( ~ epred5_0
      | ~ f1($false)
      | f2($false)
      | epred4_0 )
    & ( ~ epred5_0
      | ~ f1($false)
      | f2($true)
      | epred3_0 )
    & ( ~ epred5_0
      | ~ f1($true)
      | ~ f2($false)
      | epred4_0 )
    & ( ~ epred5_0
      | ~ f1($true)
      | ~ f2($true)
      | epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).

cnf(c_0_82,plain,
    ( ~ epred7_0
    | ~ f1($true)
    | ~ f1($true)
    | epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ f0($true)
    | ~ epred8_0
    | ~ f0($true)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_84,negated_conjecture,
    ( f0($true)
    | epred7_0
    | f0($true)
    | epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_85,plain,
    ( ~ f1($true)
    | ~ f1($true)
    | ~ epred6_0
    | epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

fof(c_0_86,plain,
    ( epred16_0
  <=> ( ( f1($false)
        | ( ( f2($false)
            | epred14_0 )
          & ( f2($true)
            | epred13_0 ) ) )
      & ( f1($true)
        | ( ( ~ f2($false)
            | epred14_0 )
          & ( ~ f2($true)
            | epred13_0 ) ) ) ) ),
    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_44]),c_0_63]),c_0_44]),c_0_63]) ).

fof(c_0_87,plain,
    ( epred15_0
  <=> ( ( ~ f1($false)
        | ( ( f2($false)
            | epred14_0 )
          & ( f2($true)
            | epred13_0 ) ) )
      & ( ~ f1($true)
        | ( ( ~ f2($false)
            | epred14_0 )
          & ( ~ f2($true)
            | epred13_0 ) ) ) ) ),
    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_44]),c_0_63]),c_0_44]),c_0_63]) ).

fof(c_0_88,plain,
    ( epred14_0
  <=> ( ( f2($false)
        | ( ( f2($false)
            | epred12_0 )
          & ( f2($true)
            | epred11_0 ) ) )
      & ( f2($true)
        | ( ( ~ f2($false)
            | epred12_0 )
          & ( ~ f2($true)
            | epred11_0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_63,c_0_3]),c_0_37]),c_0_3]),c_0_37]) ).

fof(c_0_89,plain,
    ( ( epred13_0
      | f2($true)
      | f2($false) )
    & ( epred13_0
      | f2($true)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred13_0
      | f2($true)
      | ~ f2($true)
      | ~ epred12_0 )
    & ( epred13_0
      | f2($true)
      | ~ epred11_0
      | ~ f2($false) )
    & ( epred13_0
      | f2($true)
      | ~ epred11_0
      | ~ epred12_0 )
    & ( epred13_0
      | f2($true)
      | f2($false)
      | f2($false) )
    & ( epred13_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred13_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ epred12_0 )
    & ( epred13_0
      | f2($true)
      | f2($false)
      | ~ epred11_0
      | ~ f2($false) )
    & ( epred13_0
      | f2($true)
      | f2($false)
      | ~ epred11_0
      | ~ epred12_0 )
    & ( epred13_0
      | f2($true)
      | ~ epred12_0
      | f2($false) )
    & ( epred13_0
      | f2($true)
      | ~ epred12_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred13_0
      | f2($true)
      | ~ epred12_0
      | ~ f2($true)
      | ~ epred12_0 )
    & ( epred13_0
      | f2($true)
      | ~ epred12_0
      | ~ epred11_0
      | ~ f2($false) )
    & ( epred13_0
      | f2($true)
      | ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0 )
    & ( epred13_0
      | ~ epred11_0
      | f2($false)
      | f2($false) )
    & ( epred13_0
      | ~ epred11_0
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred13_0
      | ~ epred11_0
      | f2($false)
      | ~ f2($true)
      | ~ epred12_0 )
    & ( epred13_0
      | ~ epred11_0
      | f2($false)
      | ~ epred11_0
      | ~ f2($false) )
    & ( epred13_0
      | ~ epred11_0
      | f2($false)
      | ~ epred11_0
      | ~ epred12_0 )
    & ( epred13_0
      | ~ epred11_0
      | ~ epred12_0
      | f2($false) )
    & ( epred13_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred13_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ f2($true)
      | ~ epred12_0 )
    & ( epred13_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | ~ f2($false) )
    & ( epred13_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0 )
    & ( ~ epred13_0
      | ~ f2($false)
      | f2($false)
      | epred12_0 )
    & ( ~ epred13_0
      | ~ f2($false)
      | f2($true)
      | epred11_0 )
    & ( ~ epred13_0
      | ~ f2($true)
      | ~ f2($false)
      | epred12_0 )
    & ( ~ epred13_0
      | ~ f2($true)
      | ~ f2($true)
      | epred11_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).

fof(c_0_90,plain,
    ( epred3_0
  <=> ( ( ~ f3($false)
        | ( ( f3($false)
            | epred2_0 )
          & ( f3($true)
            | epred1_0 ) ) )
      & ( ~ f3($true)
        | ( ( ~ f3($false)
            | epred2_0 )
          & ( ~ f3($true)
            | epred1_0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_39,c_0_13]),c_0_5]),c_0_13]),c_0_5]) ).

fof(c_0_91,plain,
    ( ( epred4_0
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred4_0
      | ~ f3($true)
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred4_0
      | ~ f3($true)
      | ~ f3($true)
      | ~ epred2_0 )
    & ( epred4_0
      | ~ f3($true)
      | ~ epred1_0
      | ~ f3($false) )
    & ( epred4_0
      | ~ f3($true)
      | ~ epred1_0
      | ~ epred2_0 )
    & ( epred4_0
      | f3($true)
      | f3($false)
      | ~ f3($false) )
    & ( epred4_0
      | f3($true)
      | f3($false)
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred4_0
      | f3($true)
      | f3($false)
      | ~ f3($true)
      | ~ epred2_0 )
    & ( epred4_0
      | f3($true)
      | f3($false)
      | ~ epred1_0
      | ~ f3($false) )
    & ( epred4_0
      | f3($true)
      | f3($false)
      | ~ epred1_0
      | ~ epred2_0 )
    & ( epred4_0
      | f3($true)
      | ~ epred2_0
      | ~ f3($false) )
    & ( epred4_0
      | f3($true)
      | ~ epred2_0
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred4_0
      | f3($true)
      | ~ epred2_0
      | ~ f3($true)
      | ~ epred2_0 )
    & ( epred4_0
      | f3($true)
      | ~ epred2_0
      | ~ epred1_0
      | ~ f3($false) )
    & ( epred4_0
      | f3($true)
      | ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0 )
    & ( epred4_0
      | ~ epred1_0
      | f3($false)
      | ~ f3($false) )
    & ( epred4_0
      | ~ epred1_0
      | f3($false)
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred4_0
      | ~ epred1_0
      | f3($false)
      | ~ f3($true)
      | ~ epred2_0 )
    & ( epred4_0
      | ~ epred1_0
      | f3($false)
      | ~ epred1_0
      | ~ f3($false) )
    & ( epred4_0
      | ~ epred1_0
      | f3($false)
      | ~ epred1_0
      | ~ epred2_0 )
    & ( epred4_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ f3($false) )
    & ( epred4_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred4_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ f3($true)
      | ~ epred2_0 )
    & ( epred4_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | ~ f3($false) )
    & ( epred4_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0 )
    & ( ~ epred4_0
      | f3($false)
      | f3($false)
      | epred2_0 )
    & ( ~ epred4_0
      | f3($false)
      | f3($true)
      | epred1_0 )
    & ( ~ epred4_0
      | f3($true)
      | ~ f3($false)
      | epred2_0 )
    & ( ~ epred4_0
      | f3($true)
      | ~ f3($true)
      | epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])]) ).

cnf(c_0_92,plain,
    ( epred1_0
    | x
    | f4($false)
    | f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_93,plain,
    ( f3($true)
    | epred1_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_14]),c_0_67]),c_0_47]) ).

fof(c_0_94,plain,
    ( ( epred6_0
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred6_0
      | ~ f1($true)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred6_0
      | ~ f1($true)
      | ~ f2($true)
      | ~ epred4_0 )
    & ( epred6_0
      | ~ f1($true)
      | ~ epred3_0
      | ~ f2($false) )
    & ( epred6_0
      | ~ f1($true)
      | ~ epred3_0
      | ~ epred4_0 )
    & ( epred6_0
      | f2($true)
      | f2($false)
      | ~ f1($false) )
    & ( epred6_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred6_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ epred4_0 )
    & ( epred6_0
      | f2($true)
      | f2($false)
      | ~ epred3_0
      | ~ f2($false) )
    & ( epred6_0
      | f2($true)
      | f2($false)
      | ~ epred3_0
      | ~ epred4_0 )
    & ( epred6_0
      | f2($true)
      | ~ epred4_0
      | ~ f1($false) )
    & ( epred6_0
      | f2($true)
      | ~ epred4_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred6_0
      | f2($true)
      | ~ epred4_0
      | ~ f2($true)
      | ~ epred4_0 )
    & ( epred6_0
      | f2($true)
      | ~ epred4_0
      | ~ epred3_0
      | ~ f2($false) )
    & ( epred6_0
      | f2($true)
      | ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0 )
    & ( epred6_0
      | ~ epred3_0
      | f2($false)
      | ~ f1($false) )
    & ( epred6_0
      | ~ epred3_0
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred6_0
      | ~ epred3_0
      | f2($false)
      | ~ f2($true)
      | ~ epred4_0 )
    & ( epred6_0
      | ~ epred3_0
      | f2($false)
      | ~ epred3_0
      | ~ f2($false) )
    & ( epred6_0
      | ~ epred3_0
      | f2($false)
      | ~ epred3_0
      | ~ epred4_0 )
    & ( epred6_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ f1($false) )
    & ( epred6_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred6_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ f2($true)
      | ~ epred4_0 )
    & ( epred6_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | ~ f2($false) )
    & ( epred6_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0 )
    & ( ~ epred6_0
      | f1($false)
      | f2($false)
      | epred4_0 )
    & ( ~ epred6_0
      | f1($false)
      | f2($true)
      | epred3_0 )
    & ( ~ epred6_0
      | f1($true)
      | ~ f2($false)
      | epred4_0 )
    & ( ~ epred6_0
      | f1($true)
      | ~ f2($true)
      | epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).

cnf(c_0_95,plain,
    ( ~ epred5_0
    | epred7_0
    | f1($false)
    | f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_96,plain,
    ( ~ epred5_0
    | ~ epred6_0
    | ~ epred5_0
    | ~ epred6_0
    | epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_97,plain,
    ( ~ epred1_0
    | ~ f3($true)
    | ~ f4($false)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_98,plain,
    ( ~ epred1_0
    | ~ f3($false)
    | ~ x
    | f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_99,plain,
    ( ~ epred1_0
    | ~ epred2_0
    | x
    | f3($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_69]),c_0_70]) ).

cnf(c_0_100,plain,
    ( ~ f4($true)
    | ~ epred10_0
    | epred11_0
    | f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_101,plain,
    ( ~ epred10_0
    | x
    | f4($true) ),
    inference(csr,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_102,plain,
    ( ~ f4($true)
    | ~ x
    | epred10_0 ),
    inference(cn,[status(thm)],[c_0_73]) ).

cnf(c_0_103,plain,
    ( ~ x
    | ~ f4($false)
    | epred10_0 ),
    inference(csr,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_104,plain,
    ( epred11_0
    | f4($true)
    | f4($false)
    | f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_105,plain,
    ( ~ f3($true)
    | ~ f3($false)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_106,plain,
    ( x
    | f3($false)
    | epred2_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_16]),c_0_76]),c_0_77]) ).

cnf(c_0_107,plain,
    ( ~ epred10_0
    | ~ f3($false)
    | epred12_0
    | f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

fof(c_0_108,plain,
    ( ( epred17_0
      | f0($true)
      | f0($false) )
    & ( epred17_0
      | f0($true)
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred17_0
      | f0($true)
      | ~ f0($true)
      | ~ epred16_0 )
    & ( epred17_0
      | f0($true)
      | ~ epred15_0
      | ~ f0($false) )
    & ( epred17_0
      | f0($true)
      | ~ epred15_0
      | ~ epred16_0 )
    & ( epred17_0
      | f0($true)
      | f0($false)
      | f0($false) )
    & ( epred17_0
      | f0($true)
      | f0($false)
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred17_0
      | f0($true)
      | f0($false)
      | ~ f0($true)
      | ~ epred16_0 )
    & ( epred17_0
      | f0($true)
      | f0($false)
      | ~ epred15_0
      | ~ f0($false) )
    & ( epred17_0
      | f0($true)
      | f0($false)
      | ~ epred15_0
      | ~ epred16_0 )
    & ( epred17_0
      | f0($true)
      | ~ epred16_0
      | f0($false) )
    & ( epred17_0
      | f0($true)
      | ~ epred16_0
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred17_0
      | f0($true)
      | ~ epred16_0
      | ~ f0($true)
      | ~ epred16_0 )
    & ( epred17_0
      | f0($true)
      | ~ epred16_0
      | ~ epred15_0
      | ~ f0($false) )
    & ( epred17_0
      | f0($true)
      | ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0 )
    & ( epred17_0
      | ~ epred15_0
      | f0($false)
      | f0($false) )
    & ( epred17_0
      | ~ epred15_0
      | f0($false)
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred17_0
      | ~ epred15_0
      | f0($false)
      | ~ f0($true)
      | ~ epred16_0 )
    & ( epred17_0
      | ~ epred15_0
      | f0($false)
      | ~ epred15_0
      | ~ f0($false) )
    & ( epred17_0
      | ~ epred15_0
      | f0($false)
      | ~ epred15_0
      | ~ epred16_0 )
    & ( epred17_0
      | ~ epred15_0
      | ~ epred16_0
      | f0($false) )
    & ( epred17_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ f0($true)
      | ~ f0($false) )
    & ( epred17_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ f0($true)
      | ~ epred16_0 )
    & ( epred17_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | ~ f0($false) )
    & ( epred17_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0 )
    & ( ~ epred17_0
      | ~ f0($false)
      | f0($false)
      | epred16_0 )
    & ( ~ epred17_0
      | ~ f0($false)
      | f0($true)
      | epred15_0 )
    & ( ~ epred17_0
      | ~ f0($true)
      | ~ f0($false)
      | epred16_0 )
    & ( ~ epred17_0
      | ~ f0($true)
      | ~ f0($true)
      | epred15_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ f0($true)
    | ~ f0($false)
    | ~ f0($true)
    | ~ f0($false) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_110,plain,
    ( ~ epred16_0
    | ~ f0($false)
    | epred18_0
    | f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_111,plain,
    ( ~ f0($true)
    | ~ epred16_0
    | epred18_0 ),
    inference(cn,[status(thm)],[c_0_80]) ).

cnf(c_0_112,plain,
    ( ~ epred7_0
    | ~ f1($false)
    | f1($true)
    | epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_113,plain,
    ( epred5_0
    | f1($true)
    | f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_114,plain,
    ( ~ f1($true)
    | ~ epred7_0
    | epred5_0 ),
    inference(cn,[status(thm)],[c_0_82]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ f0($true)
    | ~ epred18_0
    | ~ epred8_0 ),
    inference(cn,[status(thm)],[c_0_83]) ).

cnf(c_0_116,negated_conjecture,
    ( f0($true)
    | epred17_0
    | epred7_0 ),
    inference(cn,[status(thm)],[c_0_84]) ).

cnf(c_0_117,plain,
    ( ~ epred6_0
    | ~ f1($false)
    | epred8_0
    | f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_118,plain,
    ( ~ f1($true)
    | ~ epred6_0
    | epred8_0 ),
    inference(cn,[status(thm)],[c_0_85]) ).

fof(c_0_119,plain,
    ( ( epred16_0
      | ~ f1($true)
      | ~ f1($false) )
    & ( epred16_0
      | ~ f1($true)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred16_0
      | ~ f1($true)
      | ~ f2($true)
      | ~ epred14_0 )
    & ( epred16_0
      | ~ f1($true)
      | ~ epred13_0
      | ~ f2($false) )
    & ( epred16_0
      | ~ f1($true)
      | ~ epred13_0
      | ~ epred14_0 )
    & ( epred16_0
      | f2($true)
      | f2($false)
      | ~ f1($false) )
    & ( epred16_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred16_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ epred14_0 )
    & ( epred16_0
      | f2($true)
      | f2($false)
      | ~ epred13_0
      | ~ f2($false) )
    & ( epred16_0
      | f2($true)
      | f2($false)
      | ~ epred13_0
      | ~ epred14_0 )
    & ( epred16_0
      | f2($true)
      | ~ epred14_0
      | ~ f1($false) )
    & ( epred16_0
      | f2($true)
      | ~ epred14_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred16_0
      | f2($true)
      | ~ epred14_0
      | ~ f2($true)
      | ~ epred14_0 )
    & ( epred16_0
      | f2($true)
      | ~ epred14_0
      | ~ epred13_0
      | ~ f2($false) )
    & ( epred16_0
      | f2($true)
      | ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0 )
    & ( epred16_0
      | ~ epred13_0
      | f2($false)
      | ~ f1($false) )
    & ( epred16_0
      | ~ epred13_0
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred16_0
      | ~ epred13_0
      | f2($false)
      | ~ f2($true)
      | ~ epred14_0 )
    & ( epred16_0
      | ~ epred13_0
      | f2($false)
      | ~ epred13_0
      | ~ f2($false) )
    & ( epred16_0
      | ~ epred13_0
      | f2($false)
      | ~ epred13_0
      | ~ epred14_0 )
    & ( epred16_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ f1($false) )
    & ( epred16_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred16_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ f2($true)
      | ~ epred14_0 )
    & ( epred16_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | ~ f2($false) )
    & ( epred16_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0 )
    & ( ~ epred16_0
      | f1($false)
      | f2($false)
      | epred14_0 )
    & ( ~ epred16_0
      | f1($false)
      | f2($true)
      | epred13_0 )
    & ( ~ epred16_0
      | f1($true)
      | ~ f2($false)
      | epred14_0 )
    & ( ~ epred16_0
      | f1($true)
      | ~ f2($true)
      | epred13_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])]) ).

fof(c_0_120,plain,
    ( ( epred15_0
      | f1($true)
      | f1($false) )
    & ( epred15_0
      | f1($true)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred15_0
      | f1($true)
      | ~ f2($true)
      | ~ epred14_0 )
    & ( epred15_0
      | f1($true)
      | ~ epred13_0
      | ~ f2($false) )
    & ( epred15_0
      | f1($true)
      | ~ epred13_0
      | ~ epred14_0 )
    & ( epred15_0
      | f2($true)
      | f2($false)
      | f1($false) )
    & ( epred15_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred15_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ epred14_0 )
    & ( epred15_0
      | f2($true)
      | f2($false)
      | ~ epred13_0
      | ~ f2($false) )
    & ( epred15_0
      | f2($true)
      | f2($false)
      | ~ epred13_0
      | ~ epred14_0 )
    & ( epred15_0
      | f2($true)
      | ~ epred14_0
      | f1($false) )
    & ( epred15_0
      | f2($true)
      | ~ epred14_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred15_0
      | f2($true)
      | ~ epred14_0
      | ~ f2($true)
      | ~ epred14_0 )
    & ( epred15_0
      | f2($true)
      | ~ epred14_0
      | ~ epred13_0
      | ~ f2($false) )
    & ( epred15_0
      | f2($true)
      | ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0 )
    & ( epred15_0
      | ~ epred13_0
      | f2($false)
      | f1($false) )
    & ( epred15_0
      | ~ epred13_0
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred15_0
      | ~ epred13_0
      | f2($false)
      | ~ f2($true)
      | ~ epred14_0 )
    & ( epred15_0
      | ~ epred13_0
      | f2($false)
      | ~ epred13_0
      | ~ f2($false) )
    & ( epred15_0
      | ~ epred13_0
      | f2($false)
      | ~ epred13_0
      | ~ epred14_0 )
    & ( epred15_0
      | ~ epred13_0
      | ~ epred14_0
      | f1($false) )
    & ( epred15_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred15_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ f2($true)
      | ~ epred14_0 )
    & ( epred15_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | ~ f2($false) )
    & ( epred15_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0 )
    & ( ~ epred15_0
      | ~ f1($false)
      | f2($false)
      | epred14_0 )
    & ( ~ epred15_0
      | ~ f1($false)
      | f2($true)
      | epred13_0 )
    & ( ~ epred15_0
      | ~ f1($true)
      | ~ f2($false)
      | epred14_0 )
    & ( ~ epred15_0
      | ~ f1($true)
      | ~ f2($true)
      | epred13_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])]) ).

fof(c_0_121,plain,
    ( ( epred14_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred14_0
      | ~ f2($true)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred14_0
      | ~ f2($true)
      | ~ f2($true)
      | ~ epred12_0 )
    & ( epred14_0
      | ~ f2($true)
      | ~ epred11_0
      | ~ f2($false) )
    & ( epred14_0
      | ~ f2($true)
      | ~ epred11_0
      | ~ epred12_0 )
    & ( epred14_0
      | f2($true)
      | f2($false)
      | ~ f2($false) )
    & ( epred14_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred14_0
      | f2($true)
      | f2($false)
      | ~ f2($true)
      | ~ epred12_0 )
    & ( epred14_0
      | f2($true)
      | f2($false)
      | ~ epred11_0
      | ~ f2($false) )
    & ( epred14_0
      | f2($true)
      | f2($false)
      | ~ epred11_0
      | ~ epred12_0 )
    & ( epred14_0
      | f2($true)
      | ~ epred12_0
      | ~ f2($false) )
    & ( epred14_0
      | f2($true)
      | ~ epred12_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred14_0
      | f2($true)
      | ~ epred12_0
      | ~ f2($true)
      | ~ epred12_0 )
    & ( epred14_0
      | f2($true)
      | ~ epred12_0
      | ~ epred11_0
      | ~ f2($false) )
    & ( epred14_0
      | f2($true)
      | ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0 )
    & ( epred14_0
      | ~ epred11_0
      | f2($false)
      | ~ f2($false) )
    & ( epred14_0
      | ~ epred11_0
      | f2($false)
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred14_0
      | ~ epred11_0
      | f2($false)
      | ~ f2($true)
      | ~ epred12_0 )
    & ( epred14_0
      | ~ epred11_0
      | f2($false)
      | ~ epred11_0
      | ~ f2($false) )
    & ( epred14_0
      | ~ epred11_0
      | f2($false)
      | ~ epred11_0
      | ~ epred12_0 )
    & ( epred14_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ f2($false) )
    & ( epred14_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ f2($true)
      | ~ f2($false) )
    & ( epred14_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ f2($true)
      | ~ epred12_0 )
    & ( epred14_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | ~ f2($false) )
    & ( epred14_0
      | ~ epred11_0
      | ~ epred12_0
      | ~ epred11_0
      | ~ epred12_0 )
    & ( ~ epred14_0
      | f2($false)
      | f2($false)
      | epred12_0 )
    & ( ~ epred14_0
      | f2($false)
      | f2($true)
      | epred11_0 )
    & ( ~ epred14_0
      | f2($true)
      | ~ f2($false)
      | epred12_0 )
    & ( ~ epred14_0
      | f2($true)
      | ~ f2($true)
      | epred11_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])]) ).

cnf(c_0_122,plain,
    ( ~ epred11_0
    | epred13_0
    | f2($false)
    | f2($false) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

fof(c_0_123,plain,
    ( ( epred3_0
      | f3($true)
      | f3($false) )
    & ( epred3_0
      | f3($true)
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred3_0
      | f3($true)
      | ~ f3($true)
      | ~ epred2_0 )
    & ( epred3_0
      | f3($true)
      | ~ epred1_0
      | ~ f3($false) )
    & ( epred3_0
      | f3($true)
      | ~ epred1_0
      | ~ epred2_0 )
    & ( epred3_0
      | f3($true)
      | f3($false)
      | f3($false) )
    & ( epred3_0
      | f3($true)
      | f3($false)
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred3_0
      | f3($true)
      | f3($false)
      | ~ f3($true)
      | ~ epred2_0 )
    & ( epred3_0
      | f3($true)
      | f3($false)
      | ~ epred1_0
      | ~ f3($false) )
    & ( epred3_0
      | f3($true)
      | f3($false)
      | ~ epred1_0
      | ~ epred2_0 )
    & ( epred3_0
      | f3($true)
      | ~ epred2_0
      | f3($false) )
    & ( epred3_0
      | f3($true)
      | ~ epred2_0
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred3_0
      | f3($true)
      | ~ epred2_0
      | ~ f3($true)
      | ~ epred2_0 )
    & ( epred3_0
      | f3($true)
      | ~ epred2_0
      | ~ epred1_0
      | ~ f3($false) )
    & ( epred3_0
      | f3($true)
      | ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0 )
    & ( epred3_0
      | ~ epred1_0
      | f3($false)
      | f3($false) )
    & ( epred3_0
      | ~ epred1_0
      | f3($false)
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred3_0
      | ~ epred1_0
      | f3($false)
      | ~ f3($true)
      | ~ epred2_0 )
    & ( epred3_0
      | ~ epred1_0
      | f3($false)
      | ~ epred1_0
      | ~ f3($false) )
    & ( epred3_0
      | ~ epred1_0
      | f3($false)
      | ~ epred1_0
      | ~ epred2_0 )
    & ( epred3_0
      | ~ epred1_0
      | ~ epred2_0
      | f3($false) )
    & ( epred3_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ f3($true)
      | ~ f3($false) )
    & ( epred3_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ f3($true)
      | ~ epred2_0 )
    & ( epred3_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | ~ f3($false) )
    & ( epred3_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0 )
    & ( ~ epred3_0
      | ~ f3($false)
      | f3($false)
      | epred2_0 )
    & ( ~ epred3_0
      | ~ f3($false)
      | f3($true)
      | epred1_0 )
    & ( ~ epred3_0
      | ~ f3($true)
      | ~ f3($false)
      | epred2_0 )
    & ( ~ epred3_0
      | ~ f3($true)
      | ~ f3($true)
      | epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])]) ).

cnf(c_0_124,plain,
    ( ~ f3($true)
    | ~ f3($true)
    | ~ epred2_0
    | epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_125,plain,
    ( x
    | f3($false)
    | epred1_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_92]),c_0_93]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ epred7_0
    | ~ f0($false)
    | ~ epred17_0
    | ~ f0($false) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_127,plain,
    ( ~ epred18_0
    | f0($false)
    | f0($false)
    | epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_128,plain,
    ( ~ f1($true)
    | ~ f1($false)
    | epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_129,plain,
    ( ~ epred5_0
    | f1($false)
    | epred7_0 ),
    inference(cn,[status(thm)],[c_0_95]) ).

cnf(c_0_130,plain,
    ( ~ epred6_0
    | ~ epred5_0
    | epred7_0 ),
    inference(cn,[status(thm)],[c_0_96]) ).

cnf(c_0_131,negated_conjecture,
    ( f0($false)
    | epred8_0
    | f0($false)
    | epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_132,plain,
    ( ~ epred1_0
    | ~ f3($true)
    | ~ f4($true)
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_133,plain,
    ( ~ f3($false)
    | ~ f3($true)
    | ~ epred1_0
    | x ),
    inference(spm,[status(thm)],[c_0_97,c_0_69]) ).

cnf(c_0_134,plain,
    ( ~ epred1_0
    | ~ epred2_0
    | f3($true) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_98]),c_0_99]),c_0_70]) ).

cnf(c_0_135,plain,
    ( ~ f3($true)
    | ~ epred10_0
    | x
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_34,c_0_72]) ).

cnf(c_0_136,plain,
    ( ~ epred10_0
    | x
    | f3($true)
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_137,plain,
    ( ~ x
    | ~ f3($false)
    | epred2_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_102,c_0_14]) ).

cnf(c_0_138,plain,
    ( ~ x
    | f3($false)
    | epred10_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_102]) ).

cnf(c_0_139,plain,
    ( ~ f3($true)
    | x
    | epred2_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_140,plain,
    ( ~ f3($true)
    | ~ f4($true)
    | ~ epred10_0
    | epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_141,plain,
    ( ~ epred10_0
    | epred11_0
    | f4($true)
    | f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_142,plain,
    ( ~ epred10_0
    | f3($true)
    | epred11_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_107]),c_0_53]) ).

cnf(c_0_143,plain,
    ( ~ f4($true)
    | epred9_0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_18]),c_0_102]) ).

cnf(c_0_144,plain,
    ( ~ epred17_0
    | ~ f0($false)
    | f0($true)
    | epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ f0($false)
    | ~ f0($true) ),
    inference(cn,[status(thm)],[c_0_109]) ).

cnf(c_0_146,plain,
    ( ~ epred17_0
    | ~ f0($true)
    | ~ f0($true)
    | epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_147,plain,
    ( ~ f0($false)
    | ~ epred16_0
    | epred18_0 ),
    inference(csr,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_148,negated_conjecture,
    ( f0($true)
    | epred7_0
    | f0($false)
    | epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_149,plain,
    ( ~ epred7_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ epred8_0
    | ~ epred18_0
    | epred7_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ epred16_0
    | epred7_0
    | epred17_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_111,c_0_116]) ).

cnf(c_0_152,plain,
    ( ~ f1($false)
    | ~ epred6_0
    | epred8_0 ),
    inference(csr,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_153,plain,
    ( epred7_0
    | f1($true)
    | f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_154,plain,
    ( ~ epred5_0
    | ~ epred6_0
    | ~ epred5_0
    | ~ epred6_0
    | epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_155,plain,
    ( ~ epred14_0
    | ~ f1($false)
    | epred16_0
    | f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_156,plain,
    ( ~ epred14_0
    | epred15_0
    | f2($true)
    | f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_157,plain,
    ( ~ f2($true)
    | ~ f2($false)
    | epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_158,plain,
    ( ~ epred11_0
    | f2($false)
    | epred13_0 ),
    inference(cn,[status(thm)],[c_0_122]) ).

cnf(c_0_159,plain,
    ( ~ epred11_0
    | ~ f2($false)
    | epred13_0
    | f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_160,plain,
    ( ~ epred1_0
    | epred3_0
    | f3($false)
    | f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_161,plain,
    ( ~ epred1_0
    | ~ epred2_0
    | ~ epred1_0
    | ~ epred2_0
    | epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_162,plain,
    ( ~ epred2_0
    | ~ f3($false)
    | epred4_0
    | f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_163,plain,
    ( ~ f3($true)
    | ~ epred2_0
    | epred4_0 ),
    inference(cn,[status(thm)],[c_0_124]) ).

cnf(c_0_164,plain,
    ( ~ epred1_0
    | ~ epred2_0
    | ~ epred1_0
    | ~ epred2_0
    | epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_165,plain,
    ( ~ f3($true)
    | ~ f4($true)
    | ~ x
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_166,plain,
    ( ~ x
    | epred1_0
    | f4($true)
    | f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_167,plain,
    ( x
    | epred1_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_125]),c_0_93]) ).

cnf(c_0_168,plain,
    ( ~ epred8_0
    | f1($false)
    | f1($false)
    | epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ f0($false)
    | ~ epred17_0
    | ~ epred7_0 ),
    inference(cn,[status(thm)],[c_0_126]) ).

cnf(c_0_170,plain,
    ( ~ epred18_0
    | f0($false)
    | epred16_0 ),
    inference(cn,[status(thm)],[c_0_127]) ).

cnf(c_0_171,plain,
    ( ~ epred5_0
    | ~ f1($false)
    | epred7_0
    | f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_172,plain,
    ( ~ f1($true)
    | ~ epred5_0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).

cnf(c_0_173,negated_conjecture,
    ( f0($false)
    | epred18_0
    | epred8_0 ),
    inference(cn,[status(thm)],[c_0_131]) ).

cnf(c_0_174,plain,
    ( ~ f3($false)
    | ~ f3($true)
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_98]),c_0_133]) ).

cnf(c_0_175,plain,
    ( ~ epred1_0
    | ~ epred2_0
    | x
    | f3($false) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_30]),c_0_134]) ).

cnf(c_0_176,plain,
    ( ~ epred4_0
    | f3($false)
    | f3($false)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_177,plain,
    ( ~ epred13_0
    | ~ f2($true)
    | ~ f2($true)
    | epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_178,plain,
    ( ~ epred10_0
    | x
    | epred2_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_179,plain,
    ( ~ x
    | epred2_0
    | epred10_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_180,plain,
    ( x
    | epred2_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_76]),c_0_77]) ).

cnf(c_0_181,plain,
    ( ~ epred12_0
    | ~ f2($false)
    | epred14_0
    | f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_182,plain,
    ( ~ f2($true)
    | ~ f2($true)
    | ~ epred12_0
    | epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_183,plain,
    ( ~ f3($true)
    | ~ f3($false)
    | epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_184,plain,
    ( ~ epred10_0
    | f3($false)
    | epred11_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]) ).

cnf(c_0_185,plain,
    ( epred9_0
    | f4($true)
    | f4($false) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_186,plain,
    ( x
    | epred9_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_143,c_0_36]) ).

cnf(c_0_187,plain,
    ( ~ f0($false)
    | ~ epred17_0
    | epred15_0 ),
    inference(csr,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_188,plain,
    ( ~ epred18_0
    | f0($false)
    | f0($true)
    | epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_189,plain,
    ( ~ f0($true)
    | ~ epred17_0
    | epred15_0 ),
    inference(cn,[status(thm)],[c_0_146]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ epred16_0
    | epred7_0
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_111]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ epred8_0
    | ~ epred18_0
    | epred5_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ epred16_0
    | epred5_0
    | epred17_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_149,c_0_151]) ).

cnf(c_0_193,plain,
    ( ~ epred6_0
    | epred7_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_118]) ).

cnf(c_0_194,plain,
    ( ~ epred6_0
    | ~ epred5_0
    | epred8_0 ),
    inference(cn,[status(thm)],[c_0_154]) ).

cnf(c_0_195,plain,
    ( ~ epred13_0
    | ~ f1($false)
    | epred16_0
    | f2($false) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_196,plain,
    ( ~ epred13_0
    | epred15_0
    | f2($false)
    | f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_197,plain,
    ( ~ f1($true)
    | ~ f2($true)
    | ~ epred14_0
    | epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_198,plain,
    ( ~ f2($true)
    | ~ epred14_0
    | epred15_0
    | f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_199,plain,
    ( ~ epred14_0
    | f2($true)
    | epred15_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_200,plain,
    ( ~ f2($true)
    | ~ epred11_0
    | epred13_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_201,plain,
    ( ~ epred11_0
    | f2($true)
    | epred13_0 ),
    inference(csr,[status(thm)],[c_0_159,c_0_158]) ).

cnf(c_0_202,plain,
    ( ~ epred1_0
    | f3($false)
    | epred3_0 ),
    inference(cn,[status(thm)],[c_0_160]) ).

cnf(c_0_203,plain,
    ( ~ epred2_0
    | ~ epred1_0
    | epred3_0 ),
    inference(cn,[status(thm)],[c_0_161]) ).

cnf(c_0_204,plain,
    ( ~ f3($false)
    | ~ epred2_0
    | epred4_0 ),
    inference(csr,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_205,plain,
    ( ~ epred2_0
    | ~ epred1_0
    | epred4_0 ),
    inference(cn,[status(thm)],[c_0_164]) ).

cnf(c_0_206,plain,
    ( f3($false)
    | epred1_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_93]) ).

cnf(c_0_207,plain,
    ( ~ epred10_0
    | ~ x
    | f4($false)
    | f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_208,plain,
    ( ~ epred12_0
    | ~ f4($false)
    | f3($true)
    | epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_209,plain,
    ( ~ epred12_0
    | f3($false)
    | f4($false)
    | epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_210,plain,
    ( ~ epred12_0
    | ~ f4($true)
    | f3($true)
    | epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_211,plain,
    ( ~ epred12_0
    | f3($false)
    | f4($true)
    | epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_212,plain,
    ( ~ epred14_0
    | f2($false)
    | f2($false)
    | epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_213,plain,
    ( ~ epred8_0
    | f1($false)
    | epred6_0 ),
    inference(cn,[status(thm)],[c_0_168]) ).

cnf(c_0_214,plain,
    ( ~ epred7_0
    | ~ epred17_0
    | ~ epred18_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_215,plain,
    ( ~ epred5_0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_171,c_0_129]),c_0_172]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ epred7_0
    | ~ epred17_0
    | epred8_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_169,c_0_173]) ).

cnf(c_0_217,plain,
    ( ~ epred15_0
    | epred17_0
    | f0($false)
    | f0($false) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_218,plain,
    ( ~ epred1_0
    | ~ epred2_0
    | x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_134]) ).

cnf(c_0_219,plain,
    ( ~ epred4_0
    | f3($false)
    | epred2_0 ),
    inference(cn,[status(thm)],[c_0_176]) ).

cnf(c_0_220,plain,
    ( ~ epred13_0
    | ~ f2($false)
    | f2($true)
    | epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_221,plain,
    ( ~ f2($true)
    | ~ epred13_0
    | epred11_0 ),
    inference(cn,[status(thm)],[c_0_177]) ).

cnf(c_0_222,plain,
    ( ~ epred10_0
    | f3($true)
    | epred2_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_14]),c_0_178]),c_0_53]) ).

cnf(c_0_223,plain,
    ( epred2_0
    | epred10_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_224,plain,
    ( ~ f2($false)
    | ~ epred12_0
    | epred14_0 ),
    inference(csr,[status(thm)],[c_0_181,c_0_157]) ).

cnf(c_0_225,plain,
    ( epred13_0
    | f2($true)
    | f2($false) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_226,plain,
    ( ~ f2($true)
    | ~ epred12_0
    | epred14_0 ),
    inference(cn,[status(thm)],[c_0_182]) ).

cnf(c_0_227,plain,
    ( ~ epred9_0
    | ~ f3($false)
    | epred12_0
    | f4($false) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_228,plain,
    ( ~ epred10_0
    | epred11_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_142]) ).

cnf(c_0_229,plain,
    ( epred9_0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_185]),c_0_186]),c_0_143]) ).

cnf(c_0_230,plain,
    ( ~ epred17_0
    | ~ epred18_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).

cnf(c_0_231,plain,
    ( ~ epred16_0
    | epred5_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_149,c_0_190]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ epred8_0
    | ~ epred16_0
    | epred5_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_233,plain,
    ( ~ epred6_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_193]),c_0_194]) ).

cnf(c_0_234,plain,
    ( ~ f1($true)
    | ~ epred13_0
    | ~ f2($false)
    | epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_235,plain,
    ( ~ epred13_0
    | ~ f2($false)
    | epred15_0
    | f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_236,plain,
    ( ~ epred13_0
    | f2($false)
    | epred15_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_237,plain,
    ( ~ epred14_0
    | epred15_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).

cnf(c_0_238,plain,
    ( ~ epred11_0
    | epred13_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_200,c_0_201]) ).

cnf(c_0_239,plain,
    ( ~ epred4_0
    | ~ f1($false)
    | epred6_0
    | f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_240,plain,
    ( ~ epred4_0
    | epred5_0
    | f2($true)
    | f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_241,plain,
    ( ~ epred1_0
    | ~ f3($false)
    | epred3_0
    | f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_242,plain,
    ( ~ f3($true)
    | ~ epred1_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_202]),c_0_203]) ).

cnf(c_0_243,plain,
    ( ~ epred2_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_47]),c_0_163]),c_0_205]) ).

cnf(c_0_244,plain,
    ( epred1_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_206]),c_0_93]) ).

cnf(c_0_245,plain,
    ( ~ epred3_0
    | ~ f1($false)
    | epred6_0
    | f2($false) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_246,plain,
    ( ~ epred3_0
    | epred5_0
    | f2($false)
    | f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_247,plain,
    ( ~ epred10_0
    | f4($true)
    | f4($false) ),
    inference(csr,[status(thm)],[c_0_207,c_0_72]) ).

cnf(c_0_248,plain,
    ( ~ epred11_0
    | ~ f3($false)
    | f4($false)
    | epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_249,plain,
    ( ~ epred12_0
    | f3($true)
    | f3($false)
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_250,plain,
    ( ~ epred11_0
    | ~ f3($false)
    | f4($true)
    | epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_251,plain,
    ( ~ epred12_0
    | f3($true)
    | f3($false)
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_252,plain,
    ( ~ epred14_0
    | ~ f2($false)
    | f2($true)
    | epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_253,plain,
    ( ~ epred14_0
    | f2($false)
    | epred12_0 ),
    inference(cn,[status(thm)],[c_0_212]) ).

cnf(c_0_254,plain,
    ( ~ epred15_0
    | ~ f1($false)
    | f2($false)
    | epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_255,plain,
    ( ~ epred16_0
    | f1($false)
    | f2($false)
    | epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_256,plain,
    ( ~ epred15_0
    | ~ f1($false)
    | f2($true)
    | epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_257,plain,
    ( ~ epred16_0
    | f1($false)
    | f2($true)
    | epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_258,plain,
    ( ~ epred8_0
    | ~ f1($false)
    | f1($true)
    | epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_259,plain,
    ( ~ f1($true)
    | ~ epred8_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_213]) ).

cnf(c_0_260,plain,
    ( ~ epred5_0
    | ~ epred17_0
    | ~ epred18_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ epred5_0
    | ~ epred17_0
    | epred8_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_216,c_0_215]) ).

cnf(c_0_262,plain,
    ( ~ epred15_0
    | f0($false)
    | epred17_0 ),
    inference(cn,[status(thm)],[c_0_217]) ).

cnf(c_0_263,plain,
    ( ~ epred1_0
    | ~ epred2_0
    | f3($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_49]),c_0_218]),c_0_134]) ).

cnf(c_0_264,plain,
    ( ~ epred4_0
    | ~ f3($false)
    | f3($true)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_265,plain,
    ( ~ f3($true)
    | ~ epred4_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_219]) ).

cnf(c_0_266,plain,
    ( ~ epred3_0
    | ~ f3($true)
    | ~ f3($true)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_267,plain,
    ( ~ f2($false)
    | ~ epred13_0
    | epred11_0 ),
    inference(csr,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_268,plain,
    ( ~ epred14_0
    | f2($false)
    | f2($true)
    | epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_269,plain,
    ( f3($false)
    | epred2_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_141]),c_0_180]),c_0_222]),c_0_223]) ).

cnf(c_0_270,plain,
    ( ~ epred12_0
    | epred13_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]) ).

cnf(c_0_271,plain,
    ( ~ f3($true)
    | ~ epred9_0
    | ~ f4($false)
    | epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_272,plain,
    ( ~ epred9_0
    | f3($true)
    | epred11_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_227]),c_0_53]) ).

cnf(c_0_273,plain,
    ( epred9_0
    | epred11_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_274,plain,
    ( ~ epred16_0
    | ~ epred17_0
    | epred5_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ epred6_0
    | ~ epred16_0
    | epred5_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_276,plain,
    ( ~ epred13_0
    | epred15_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).

cnf(c_0_277,plain,
    ( ~ epred11_0
    | epred13_0
    | epred15_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_278,plain,
    ( ~ f1($true)
    | ~ f2($true)
    | ~ epred4_0
    | epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_279,plain,
    ( ~ f2($true)
    | ~ epred4_0
    | epred5_0
    | f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_280,plain,
    ( ~ epred4_0
    | f2($true)
    | epred5_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_281,plain,
    ( ~ epred1_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_241,c_0_202]),c_0_242]) ).

cnf(c_0_282,plain,
    ( epred1_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_283,plain,
    ( ~ f1($true)
    | ~ epred3_0
    | ~ f2($false)
    | epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_284,plain,
    ( ~ epred3_0
    | ~ f2($false)
    | epred5_0
    | f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_285,plain,
    ( ~ epred3_0
    | f2($false)
    | epred5_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_286,plain,
    ( ~ epred9_0
    | ~ f4($true)
    | ~ f4($false)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_287,plain,
    ( ~ epred9_0
    | ~ epred10_0
    | f4($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_247]),c_0_101]) ).

cnf(c_0_288,plain,
    ( ~ epred11_0
    | ~ f3($true)
    | ~ f4($false)
    | epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_289,plain,
    ( ~ epred11_0
    | ~ epred12_0
    | f3($true)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_248]),c_0_249]) ).

cnf(c_0_290,plain,
    ( ~ epred11_0
    | ~ f3($true)
    | ~ f4($true)
    | epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_291,plain,
    ( ~ epred11_0
    | ~ epred12_0
    | f3($true)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_250]),c_0_251]) ).

cnf(c_0_292,plain,
    ( ~ epred13_0
    | ~ f2($true)
    | ~ f2($false)
    | epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_293,plain,
    ( ~ epred14_0
    | f2($true)
    | epred12_0 ),
    inference(csr,[status(thm)],[c_0_252,c_0_253]) ).

cnf(c_0_294,plain,
    ( ~ epred15_0
    | ~ f1($true)
    | ~ f2($false)
    | epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_295,plain,
    ( ~ epred16_0
    | ~ f2($false)
    | f1($true)
    | epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_296,plain,
    ( ~ epred15_0
    | ~ epred16_0
    | f2($false)
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_297,plain,
    ( ~ epred15_0
    | ~ f1($true)
    | ~ f2($true)
    | epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_298,plain,
    ( ~ epred16_0
    | ~ f2($true)
    | f1($true)
    | epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_299,plain,
    ( ~ epred15_0
    | ~ epred16_0
    | f2($true)
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_300,plain,
    ( ~ epred8_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_258,c_0_213]),c_0_259]) ).

cnf(c_0_301,plain,
    ( ~ epred5_0
    | ~ epred17_0
    | epred8_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_302,plain,
    ( ~ epred15_0
    | ~ f0($false)
    | epred17_0
    | f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_303,plain,
    ( ~ f0($true)
    | ~ epred15_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_145,c_0_262]) ).

cnf(c_0_304,plain,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_263]),c_0_134]) ).

cnf(c_0_305,plain,
    ( ~ epred4_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_264,c_0_219]),c_0_265]) ).

cnf(c_0_306,plain,
    ( ~ epred3_0
    | ~ f3($false)
    | f3($true)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_307,plain,
    ( ~ f3($true)
    | ~ epred3_0
    | epred1_0 ),
    inference(cn,[status(thm)],[c_0_266]) ).

cnf(c_0_308,plain,
    ( ~ epred5_0
    | ~ f1($false)
    | f2($false)
    | epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_309,plain,
    ( ~ epred6_0
    | f1($false)
    | f2($false)
    | epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_310,plain,
    ( ~ epred5_0
    | ~ f1($false)
    | f2($true)
    | epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_311,plain,
    ( ~ epred6_0
    | f1($false)
    | f2($true)
    | epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_312,plain,
    ( ~ epred13_0
    | ~ epred14_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_221]) ).

cnf(c_0_313,plain,
    ( ~ f1($false)
    | epred6_0
    | f2($true)
    | f2($false) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_314,plain,
    ( epred15_0
    | f2($true)
    | f2($false)
    | f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_315,plain,
    ( ~ f3($true)
    | epred2_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_269]) ).

cnf(c_0_316,plain,
    ( ~ f1($false)
    | epred16_0
    | f2($true)
    | f2($false) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_317,plain,
    ( epred5_0
    | f2($true)
    | f2($false)
    | f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_318,plain,
    ( ~ epred4_0
    | ~ epred15_0
    | f2($true)
    | epred5_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_256,c_0_240]) ).

cnf(c_0_319,plain,
    ( ~ epred12_0
    | epred14_0
    | epred15_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_236]),c_0_270]) ).

cnf(c_0_320,plain,
    ( f3($false)
    | epred11_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_16]),c_0_272]),c_0_273]) ).

cnf(c_0_321,negated_conjecture,
    ( ~ epred6_0
    | ~ epred16_0
    | epred5_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_322,plain,
    ( ~ epred11_0
    | epred15_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_323,plain,
    ( ~ epred4_0
    | epred5_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]) ).

cnf(c_0_324,plain,
    ( epred3_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_282]) ).

cnf(c_0_325,plain,
    ( ~ epred3_0
    | epred5_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_285]) ).

cnf(c_0_326,plain,
    ( ~ f4($false)
    | ~ f4($true)
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[c_0_286,c_0_10]) ).

cnf(c_0_327,plain,
    ( ~ x
    | ~ epred9_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_10,c_0_287]) ).

cnf(c_0_328,plain,
    ( ~ f3($false)
    | ~ f3($true)
    | ~ epred11_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_288,c_0_248]) ).

cnf(c_0_329,plain,
    ( ~ epred11_0
    | ~ epred12_0
    | f3($false)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_209]),c_0_289]) ).

cnf(c_0_330,plain,
    ( ~ f3($false)
    | ~ f3($true)
    | ~ epred11_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_290,c_0_250]) ).

cnf(c_0_331,plain,
    ( ~ epred11_0
    | ~ epred12_0
    | f3($false)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_211]),c_0_291]) ).

cnf(c_0_332,plain,
    ( ~ epred13_0
    | ~ epred14_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_253]),c_0_293]) ).

cnf(c_0_333,plain,
    ( ~ epred15_0
    | ~ epred16_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]) ).

cnf(c_0_334,plain,
    ( ~ epred15_0
    | ~ epred16_0
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299]) ).

cnf(c_0_335,plain,
    ( ~ epred5_0
    | ~ epred17_0
    | epred6_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_300,c_0_301]) ).

cnf(c_0_336,plain,
    ( ~ epred15_0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_302,c_0_262]),c_0_303]) ).

cnf(c_0_337,plain,
    ( ~ epred1_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_304,c_0_305]) ).

cnf(c_0_338,plain,
    ( ~ epred3_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_306,c_0_47]),c_0_307]) ).

cnf(c_0_339,plain,
    ( ~ epred5_0
    | ~ f1($true)
    | ~ f2($false)
    | epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_340,plain,
    ( ~ epred6_0
    | ~ f2($false)
    | f1($true)
    | epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_341,plain,
    ( ~ epred5_0
    | ~ epred6_0
    | f2($false)
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_342,plain,
    ( ~ epred5_0
    | ~ f1($true)
    | ~ f2($true)
    | epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_343,plain,
    ( ~ epred6_0
    | ~ f2($true)
    | f1($true)
    | epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_344,plain,
    ( ~ epred5_0
    | ~ epred6_0
    | f2($true)
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_310,c_0_311]) ).

cnf(c_0_345,plain,
    ( ~ epred13_0
    | ~ epred15_0
    | ~ epred16_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_296]),c_0_312]) ).

cnf(c_0_346,plain,
    ( ~ epred4_0
    | ~ epred14_0
    | f2($true)
    | epred6_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_239,c_0_156]) ).

cnf(c_0_347,plain,
    ( f2($false)
    | f2($true)
    | epred6_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_348,plain,
    ( epred2_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_222]),c_0_223]) ).

cnf(c_0_349,plain,
    ( f2($false)
    | f2($true)
    | epred5_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_316,c_0_317]) ).

cnf(c_0_350,plain,
    ( ~ epred4_0
    | ~ epred15_0
    | epred5_0
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_279]),c_0_318]) ).

cnf(c_0_351,plain,
    ( ~ epred12_0
    | epred15_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_237,c_0_319]) ).

cnf(c_0_352,plain,
    ( ~ f3($true)
    | epred11_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_183,c_0_320]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ epred6_0
    | ~ epred11_0
    | epred5_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_354,plain,
    ( epred5_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_325]) ).

cnf(c_0_355,plain,
    ( ~ epred9_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_72]),c_0_287]),c_0_327]) ).

cnf(c_0_356,plain,
    ( ~ epred11_0
    | ~ epred12_0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_289]) ).

cnf(c_0_357,plain,
    ( ~ epred11_0
    | ~ epred12_0
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_291]) ).

cnf(c_0_358,plain,
    ( ~ epred15_0
    | ~ epred16_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_334]) ).

cnf(c_0_359,plain,
    ( ~ epred5_0
    | ~ epred15_0
    | epred6_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_335,c_0_336]) ).

cnf(c_0_360,plain,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

cnf(c_0_361,plain,
    ( ~ epred5_0
    | ~ epred6_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_341]) ).

cnf(c_0_362,plain,
    ( ~ epred5_0
    | ~ epred6_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_344]) ).

cnf(c_0_363,plain,
    ( ~ epred15_0
    | ~ epred16_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_345,c_0_334]) ).

cnf(c_0_364,plain,
    ( ~ epred4_0
    | ~ epred14_0
    | epred6_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_198]),c_0_346]) ).

cnf(c_0_365,plain,
    ( ~ epred12_0
    | epred6_0
    | epred14_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_347]),c_0_226]) ).

cnf(c_0_366,plain,
    ( epred4_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_348]) ).

cnf(c_0_367,plain,
    ( ~ epred13_0
    | epred5_0
    | epred11_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_349]),c_0_221]) ).

cnf(c_0_368,plain,
    ( ~ epred15_0
    | epred3_0
    | epred5_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_350,c_0_324]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ epred6_0
    | ~ epred12_0
    | epred5_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_321,c_0_351]) ).

cnf(c_0_370,plain,
    ( epred11_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_272]),c_0_273]) ).

cnf(c_0_371,negated_conjecture,
    ( ~ epred11_0
    | epred5_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_372,plain,
    ( ~ epred11_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]) ).

cnf(c_0_373,plain,
    ( ~ epred5_0
    | ~ epred15_0
    | epred6_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_374,plain,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_362]) ).

cnf(c_0_375,plain,
    ( ~ epred5_0
    | ~ epred15_0
    | epred6_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_363,c_0_359]) ).

cnf(c_0_376,plain,
    ( ~ epred4_0
    | ~ epred12_0
    | epred6_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_364,c_0_365]) ).

cnf(c_0_377,plain,
    ( ~ epred3_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_360,c_0_366]) ).

cnf(c_0_378,plain,
    ( ~ epred15_0
    | epred3_0
    | epred5_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_363]) ).

cnf(c_0_379,negated_conjecture,
    ( epred5_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_354]),c_0_371]) ).

cnf(c_0_380,plain,
    ( ~ epred11_0
    | ~ epred15_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_354]) ).

cnf(c_0_381,plain,
    ( ~ epred5_0
    | ~ epred15_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_382,plain,
    ( epred6_0
    | epred11_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_366]),c_0_370]) ).

cnf(c_0_383,plain,
    ( epred5_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_379]) ).

cnf(c_0_384,plain,
    ( ~ epred5_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_380]),c_0_381]) ).

cnf(c_0_385,plain,
    ( epred11_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_382]),c_0_383]) ).

cnf(c_0_386,plain,
    ( ~ x
    | ~ f3($false)
    | ~ epred11_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_103,c_0_248]) ).

cnf(c_0_387,plain,
    ( ~ x
    | ~ epred2_0
    | f3($false)
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_102,c_0_49]) ).

cnf(c_0_388,plain,
    epred11_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_383]) ).

cnf(c_0_389,plain,
    ( ~ x
    | ~ epred2_0
    | ~ epred11_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_386,c_0_387]) ).

cnf(c_0_390,plain,
    ~ epred12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_388])]) ).

cnf(c_0_391,plain,
    ( ~ x
    | ~ epred2_0
    | epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_388])]) ).

cnf(c_0_392,plain,
    ( ~ f3($true)
    | ~ epred10_0
    | x
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_140,c_0_101]) ).

cnf(c_0_393,plain,
    ( ~ epred2_0
    | ~ epred10_0
    | x
    | f3($true) ),
    inference(spm,[status(thm)],[c_0_29,c_0_72]) ).

cnf(c_0_394,plain,
    ( ~ x
    | ~ epred2_0
    | f3($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_49]),c_0_390]),c_0_70]),c_0_391]) ).

cnf(c_0_395,plain,
    ( ~ epred2_0
    | ~ epred10_0
    | x
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_396,plain,
    ( ~ x
    | ~ f3($true)
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_394]),c_0_390]) ).

cnf(c_0_397,plain,
    ( ~ epred2_0
    | ~ epred10_0
    | f3($true)
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_107]),c_0_395]),c_0_70]) ).

cnf(c_0_398,plain,
    ( ~ epred2_0
    | ~ epred11_0
    | f3($true)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_248]),c_0_70]),c_0_389]) ).

cnf(c_0_399,plain,
    ( ~ x
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_390]),c_0_391]) ).

cnf(c_0_400,plain,
    ( ~ epred13_0
    | ~ epred14_0
    | ~ epred13_0
    | ~ epred14_0
    | epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_401,plain,
    ( ~ epred5_0
    | ~ epred16_0
    | f2($false)
    | epred4_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_255]) ).

cnf(c_0_402,plain,
    ( ~ f2($true)
    | ~ f2($false)
    | epred15_0
    | f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_403,plain,
    ( ~ f3($true)
    | ~ f4($false)
    | epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_388])]) ).

cnf(c_0_404,plain,
    ( ~ epred2_0
    | f3($true)
    | epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_388])]) ).

cnf(c_0_405,plain,
    ( ~ epred2_0
    | ~ epred10_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_395]),c_0_390]) ).

cnf(c_0_406,plain,
    ( ~ epred14_0
    | ~ epred13_0
    | epred15_0 ),
    inference(cn,[status(thm)],[c_0_400]) ).

cnf(c_0_407,plain,
    ( ~ epred5_0
    | ~ epred16_0
    | epred4_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_295]),c_0_401]) ).

cnf(c_0_408,plain,
    ( ~ f2($true)
    | ~ f2($false)
    | epred4_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_402]),c_0_379]) ).

cnf(c_0_409,plain,
    ( ~ f2($false)
    | ~ f2($true)
    | epred3_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_402]),c_0_379]) ).

cnf(c_0_410,plain,
    ( ~ epred2_0
    | f3($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_30]),c_0_404]),c_0_399]),c_0_405]) ).

cnf(c_0_411,plain,
    ( ~ epred5_0
    | ~ epred13_0
    | epred4_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_276]) ).

cnf(c_0_412,plain,
    ( ~ epred11_0
    | epred4_0
    | epred13_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_158]),c_0_201]) ).

cnf(c_0_413,plain,
    ( ~ epred11_0
    | epred3_0
    | epred13_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_158]),c_0_201]) ).

cnf(c_0_414,plain,
    ( ~ f3($true)
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_410]),c_0_390]) ).

cnf(c_0_415,plain,
    ( ~ f1($true)
    | ~ f2($true)
    | ~ f2($false)
    | epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_416,plain,
    ( ~ f2($true)
    | ~ f2($false)
    | epred5_0
    | f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_417,plain,
    ( ~ epred3_0
    | ~ epred13_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_411]),c_0_379]) ).

cnf(c_0_418,plain,
    ( ~ epred11_0
    | epred13_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_412]),c_0_413]) ).

cnf(c_0_419,plain,
    ~ epred2_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_404]),c_0_405]) ).

cnf(c_0_420,plain,
    ( ~ f2($false)
    | ~ f2($true)
    | epred5_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_415,c_0_416]) ).

cnf(c_0_421,plain,
    ( ~ epred6_0
    | ~ epred15_0
    | f2($false)
    | epred4_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_254,c_0_309]) ).

cnf(c_0_422,plain,
    ( ~ epred3_0
    | ~ epred11_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_417,c_0_418]) ).

cnf(c_0_423,plain,
    epred1_0,
    inference(sr,[status(thm)],[c_0_244,c_0_419]) ).

cnf(c_0_424,plain,
    ( ~ epred14_0
    | epred5_0
    | epred12_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_253]),c_0_293]) ).

cnf(c_0_425,plain,
    ( ~ epred6_0
    | ~ epred15_0
    | epred4_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_340]),c_0_421]) ).

cnf(c_0_426,plain,
    ( ~ epred3_0
    | epred15_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_422,c_0_388])]) ).

cnf(c_0_427,plain,
    epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_423])]) ).

cnf(c_0_428,plain,
    ( ~ epred6_0
    | ~ epred15_0
    | epred4_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_361]),c_0_358]) ).

cnf(c_0_429,plain,
    epred15_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_427])]) ).

cnf(c_0_430,plain,
    ~ epred4_0,
    inference(spm,[status(thm)],[c_0_419,c_0_305]) ).

cnf(c_0_431,plain,
    ( ~ epred15_0
    | epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_388])]) ).

cnf(c_0_432,plain,
    ~ epred6_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_429])]),c_0_390]),c_0_430]) ).

cnf(c_0_433,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_431,c_0_429])]),c_0_432]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO500_8.005 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n009.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 11:53:43 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.51/0.55  % Version: 3.5.1
% 0.51/0.55  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.51/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.55  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.51/0.55  % Starting new_bool_3 with 300s (1) cores
% 0.51/0.55  % Starting new_bool_1 with 300s (1) cores
% 0.51/0.55  % Starting sh5l with 300s (1) cores
% 0.51/0.55  % new_bool_3 with pid 1691555 completed with status 0
% 0.51/0.55  % Result found by new_bool_3
% 0.51/0.55  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.51/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.55  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.51/0.55  % Starting new_bool_3 with 300s (1) cores
% 0.51/0.55  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.51/0.55  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.51/0.55  % Search class: FGHNF-FSLM00-SFFFFFNN
% 0.51/0.55  % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.51/0.55  % Starting SubtermCWHack with 28s (1) cores
% 0.51/0.55  % SubtermCWHack with pid 1691565 completed with status 0
% 0.51/0.55  % Result found by SubtermCWHack
% 0.51/0.55  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.51/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.55  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.51/0.55  % Starting new_bool_3 with 300s (1) cores
% 0.51/0.55  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.51/0.55  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.51/0.55  % Search class: FGHNF-FSLM00-SFFFFFNN
% 0.51/0.55  % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.51/0.55  % Starting SubtermCWHack with 28s (1) cores
% 0.51/0.55  % Preprocessing time       : 0.002 s
% 0.51/0.55  
% 0.51/0.55  % Proof found!
% 0.51/0.55  % SZS status Theorem
% 0.51/0.55  % SZS output start CNFRefutation
% See solution above
% 0.51/0.55  % Parsed axioms                        : 7
% 0.51/0.55  % Removed by relevancy pruning/SinE    : 6
% 0.51/0.55  % Initial clauses                      : 542
% 0.51/0.55  % Removed in clause preprocessing      : 200
% 0.51/0.55  % Initial clauses in saturation        : 342
% 0.51/0.55  % Processed clauses                    : 1976
% 0.51/0.55  % ...of these trivial                  : 1
% 0.51/0.55  % ...subsumed                          : 1230
% 0.51/0.55  % ...remaining for further processing  : 744
% 0.51/0.55  % Other redundant clauses eliminated   : 0
% 0.51/0.55  % Clauses deleted for lack of memory   : 0
% 0.51/0.55  % Backward-subsumed                    : 473
% 0.51/0.55  % Backward-rewritten                   : 177
% 0.51/0.55  % Generated clauses                    : 4561
% 0.51/0.55  % ...of the previous two non-redundant : 2332
% 0.51/0.55  % ...aggressively subsumed             : 0
% 0.51/0.55  % Contextual simplify-reflections      : 276
% 0.51/0.55  % Paramodulations                      : 4551
% 0.51/0.55  % Factorizations                       : 0
% 0.51/0.55  % NegExts                              : 0
% 0.51/0.55  % Equation resolutions                 : 0
% 0.51/0.55  % Disequality decompositions           : 0
% 0.51/0.55  % Total rewrite steps                  : 178
% 0.51/0.55  % ...of those cached                   : 173
% 0.51/0.55  % Propositional unsat checks           : 0
% 0.51/0.55  %    Propositional check models        : 0
% 0.51/0.55  %    Propositional check unsatisfiable : 0
% 0.51/0.55  %    Propositional clauses             : 0
% 0.51/0.55  %    Propositional clauses after purity: 0
% 0.51/0.55  %    Propositional unsat core size     : 0
% 0.51/0.55  %    Propositional preprocessing time  : 0.000
% 0.51/0.55  %    Propositional encoding time       : 0.000
% 0.51/0.55  %    Propositional solver time         : 0.000
% 0.51/0.55  %    Success case prop preproc time    : 0.000
% 0.51/0.55  %    Success case prop encoding time   : 0.000
% 0.51/0.55  %    Success case prop solver time     : 0.000
% 0.51/0.55  % Current number of processed clauses  : 84
% 0.51/0.55  %    Positive orientable unit clauses  : 5
% 0.51/0.55  %    Positive unorientable unit clauses: 0
% 0.51/0.55  %    Negative unit clauses             : 7
% 0.51/0.55  %    Non-unit-clauses                  : 72
% 0.51/0.55  % Current number of unprocessed clauses: 364
% 0.51/0.55  % ...number of literals in the above   : 2139
% 0.51/0.55  % Current number of archived formulas  : 0
% 0.51/0.55  % Current number of archived clauses   : 660
% 0.51/0.55  % Clause-clause subsumption calls (NU) : 100356
% 0.51/0.55  % Rec. Clause-clause subsumption calls : 27701
% 0.51/0.55  % Non-unit clause-clause subsumptions  : 1872
% 0.51/0.55  % Unit Clause-clause subsumption calls : 1452
% 0.51/0.55  % Rewrite failures with RHS unbound    : 0
% 0.51/0.55  % BW rewrite match attempts            : 5
% 0.51/0.55  % BW rewrite match successes           : 5
% 0.51/0.55  % Condensation attempts                : 0
% 0.51/0.55  % Condensation successes               : 0
% 0.51/0.55  % Termbank termtop insertions          : 88666
% 0.51/0.55  % Search garbage collected termcells   : 2926
% 0.51/0.55  
% 0.51/0.55  % -------------------------------------------------
% 0.51/0.55  % User time                : 0.120 s
% 0.51/0.55  % System time              : 0.003 s
% 0.51/0.55  % Total time               : 0.123 s
% 0.51/0.55  % Maximum resident set size: 4664 pages
% 0.51/0.55  
% 0.51/0.55  % -------------------------------------------------
% 0.51/0.55  % User time                : 0.123 s
% 0.51/0.55  % System time              : 0.008 s
% 0.51/0.55  % Total time               : 0.130 s
% 0.51/0.55  % Maximum resident set size: 5120 pages
% 0.51/0.55  % E exiting
%------------------------------------------------------------------------------