TSTP Solution File: SEU905^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU905^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 03:30:49 EDT 2024

% Result   : Theorem 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  226 (   9 unt;  18 typ;   0 def)
%            Number of atoms       :  971 (  80 equ;   0 cnn)
%            Maximal formula atoms :  238 (   4 avg)
%            Number of connectives : 3547 ( 471   ~; 698   |;  99   &;2253   @)
%                                         (   0 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   80 (   7 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   82 (   0   ^  82   !;   0   ?;  82   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    g: $tType ).

thf(decl_sort2,type,
    b: $tType ).

thf(decl_sort3,type,
    a: $tType ).

thf(decl_22,type,
    esk1_0: g > b ).

thf(decl_23,type,
    esk2_0: b > a ).

thf(decl_24,type,
    epred1_0: g > $o ).

thf(decl_25,type,
    esk3_0: g > g > g ).

thf(decl_26,type,
    epred2_0: b > $o ).

thf(decl_27,type,
    esk4_0: b > b > b ).

thf(decl_28,type,
    epred3_0: a > $o ).

thf(decl_29,type,
    esk5_0: a > a > a ).

thf(decl_30,type,
    esk6_0: g ).

thf(decl_31,type,
    esk7_0: g ).

thf(decl_32,type,
    esk8_0: a ).

thf(decl_33,type,
    esk9_0: a ).

thf(decl_34,type,
    esk10_0: g ).

thf(decl_35,type,
    esk11_0: g ).

thf(decl_36,type,
    esk12_0: g ).

thf(cTHM126A_pme,conjecture,
    ! [X1: g > b,X2: b > a,X3: g > $o,X4: g > g > g,X5: b > $o,X6: b > b > b,X7: a > $o,X8: a > a > a] :
      ( ~ ( ! [X9: g,X10: g] :
              ( ( ( X3 @ X9 )
                & ( X3 @ X10 ) )
             => ( X3 @ ( X4 @ X9 @ X10 ) ) )
          & ! [X11: a,X12: a] :
              ( ( ( X7 @ X11 )
                & ( X7 @ X12 ) )
             => ( X7 @ ( X8 @ X11 @ X12 ) ) )
          & ! [X9: g] :
              ( ( X3 @ X9 )
             => ( X7 @ ( X2 @ ( X1 @ X9 ) ) ) )
          & ! [X9: g,X10: g] :
              ( ( ( X3 @ X9 )
                & ( X3 @ X10 ) )
             => ( ( X2 @ ( X1 @ ( X4 @ X9 @ X10 ) ) )
                = ( X8 @ ( X2 @ ( X1 @ X9 ) ) @ ( X2 @ ( X1 @ X10 ) ) ) ) ) )
     => ~ ( ! [X9: g,X10: g] :
              ( ( ( X3 @ X9 )
                & ( X3 @ X10 ) )
             => ( X3 @ ( X4 @ X9 @ X10 ) ) )
          & ! [X13: b,X14: b] :
              ( ( ( X5 @ X13 )
                & ( X5 @ X14 ) )
             => ( X5 @ ( X6 @ X13 @ X14 ) ) )
          & ! [X9: g] :
              ( ( X3 @ X9 )
             => ( X5 @ ( X1 @ X9 ) ) )
          & ! [X9: g,X10: g] :
              ( ( ( X3 @ X9 )
                & ( X3 @ X10 ) )
             => ( ( X1 @ ( X4 @ X9 @ X10 ) )
                = ( X6 @ ( X1 @ X9 ) @ ( X1 @ X10 ) ) ) )
          & ! [X15: b,X16: b] :
              ( ( ( X5 @ X15 )
                & ( X5 @ X16 ) )
             => ( X5 @ ( X6 @ X15 @ X16 ) ) )
          & ! [X17: a,X18: a] :
              ( ( ( X7 @ X17 )
                & ( X7 @ X18 ) )
             => ( X7 @ ( X8 @ X17 @ X18 ) ) )
          & ! [X19: b] :
              ( ( X5 @ X19 )
             => ( X7 @ ( X2 @ X19 ) ) )
          & ! [X20: b,X21: b] :
              ( ( ( X5 @ X20 )
                & ( X5 @ X21 ) )
             => ( ( X2 @ ( X6 @ X20 @ X21 ) )
                = ( X8 @ ( X2 @ X20 ) @ ( X2 @ X21 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM126A_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: g > b,X2: b > a,X3: g > $o,X4: g > g > g,X5: b > $o,X6: b > b > b,X7: a > $o,X8: a > a > a] :
        ( ~ ( ! [X9: g,X10: g] :
                ( ( ( X3 @ X9 )
                  & ( X3 @ X10 ) )
               => ( X3 @ ( X4 @ X9 @ X10 ) ) )
            & ! [X11: a,X12: a] :
                ( ( ( X7 @ X11 )
                  & ( X7 @ X12 ) )
               => ( X7 @ ( X8 @ X11 @ X12 ) ) )
            & ! [X9: g] :
                ( ( X3 @ X9 )
               => ( X7 @ ( X2 @ ( X1 @ X9 ) ) ) )
            & ! [X9: g,X10: g] :
                ( ( ( X3 @ X9 )
                  & ( X3 @ X10 ) )
               => ( ( X2 @ ( X1 @ ( X4 @ X9 @ X10 ) ) )
                  = ( X8 @ ( X2 @ ( X1 @ X9 ) ) @ ( X2 @ ( X1 @ X10 ) ) ) ) ) )
       => ~ ( ! [X9: g,X10: g] :
                ( ( ( X3 @ X9 )
                  & ( X3 @ X10 ) )
               => ( X3 @ ( X4 @ X9 @ X10 ) ) )
            & ! [X13: b,X14: b] :
                ( ( ( X5 @ X13 )
                  & ( X5 @ X14 ) )
               => ( X5 @ ( X6 @ X13 @ X14 ) ) )
            & ! [X9: g] :
                ( ( X3 @ X9 )
               => ( X5 @ ( X1 @ X9 ) ) )
            & ! [X9: g,X10: g] :
                ( ( ( X3 @ X9 )
                  & ( X3 @ X10 ) )
               => ( ( X1 @ ( X4 @ X9 @ X10 ) )
                  = ( X6 @ ( X1 @ X9 ) @ ( X1 @ X10 ) ) ) )
            & ! [X15: b,X16: b] :
                ( ( ( X5 @ X15 )
                  & ( X5 @ X16 ) )
               => ( X5 @ ( X6 @ X15 @ X16 ) ) )
            & ! [X17: a,X18: a] :
                ( ( ( X7 @ X17 )
                  & ( X7 @ X18 ) )
               => ( X7 @ ( X8 @ X17 @ X18 ) ) )
            & ! [X19: b] :
                ( ( X5 @ X19 )
               => ( X7 @ ( X2 @ X19 ) ) )
            & ! [X20: b,X21: b] :
                ( ( ( X5 @ X20 )
                  & ( X5 @ X21 ) )
               => ( ( X2 @ ( X6 @ X20 @ X21 ) )
                  = ( X8 @ ( X2 @ X20 ) @ ( X2 @ X21 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[cTHM126A_pme]) ).

thf(c_0_2,negated_conjecture,
    ! [X66: g,X67: g,X68: b,X69: b,X70: g,X71: g,X72: g,X73: b,X74: b,X75: a,X76: a,X77: b,X78: b,X79: b] :
      ( ( ( epred1_0 @ esk11_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ( epred1_0 @ esk10_0 )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ( epred1_0 @ esk10_0 )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ( epred1_0 @ esk10_0 )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk6_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk8_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ( epred1_0 @ esk10_0 )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ( epred1_0 @ esk10_0 )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ( epred1_0 @ esk10_0 )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk12_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ( epred1_0 @ esk7_0 ) )
      & ( ( epred1_0 @ esk11_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk8_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk12_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk8_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk8_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk11_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk8_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk12_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk8_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk8_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk11_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk9_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk12_0 )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk9_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ( epred1_0 @ esk10_0 )
        | ( epred3_0 @ esk9_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk11_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk9_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk12_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk9_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ( epred3_0 @ esk9_0 )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk11_0 )
        | ( epred1_0 @ esk10_0 )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk12_0 )
        | ( epred1_0 @ esk10_0 )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ( epred1_0 @ esk10_0 )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk11_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( epred1_0 @ esk12_0 )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
         != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
        | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
        | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
        | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
      & ( ~ ( epred1_0 @ X66 )
        | ~ ( epred1_0 @ X67 )
        | ( epred1_0 @ ( esk3_0 @ X66 @ X67 ) ) )
      & ( ~ ( epred2_0 @ X68 )
        | ~ ( epred2_0 @ X69 )
        | ( epred2_0 @ ( esk4_0 @ X68 @ X69 ) ) )
      & ( ~ ( epred1_0 @ X70 )
        | ( epred2_0 @ ( esk1_0 @ X70 ) ) )
      & ( ~ ( epred1_0 @ X71 )
        | ~ ( epred1_0 @ X72 )
        | ( ( esk1_0 @ ( esk3_0 @ X71 @ X72 ) )
          = ( esk4_0 @ ( esk1_0 @ X71 ) @ ( esk1_0 @ X72 ) ) ) )
      & ( ~ ( epred2_0 @ X73 )
        | ~ ( epred2_0 @ X74 )
        | ( epred2_0 @ ( esk4_0 @ X73 @ X74 ) ) )
      & ( ~ ( epred3_0 @ X75 )
        | ~ ( epred3_0 @ X76 )
        | ( epred3_0 @ ( esk5_0 @ X75 @ X76 ) ) )
      & ( ~ ( epred2_0 @ X77 )
        | ( epred3_0 @ ( esk2_0 @ X77 ) ) )
      & ( ~ ( epred2_0 @ X78 )
        | ~ ( epred2_0 @ X79 )
        | ( ( esk2_0 @ ( esk4_0 @ X78 @ X79 ) )
          = ( esk5_0 @ ( esk2_0 @ X78 ) @ ( esk2_0 @ X79 ) ) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

thf(c_0_3,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ! [X13: b] :
      ( ( epred3_0 @ ( esk2_0 @ X13 ) )
      | ~ ( epred2_0 @ X13 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ! [X9: g] :
      ( ( epred2_0 @ ( esk1_0 @ X9 ) )
      | ~ ( epred1_0 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_8,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_9,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_5,c_0_4]) ).

thf(c_0_10,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_11,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_12,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_13,negated_conjecture,
    ! [X11: a,X12: a] :
      ( ( epred3_0 @ ( esk5_0 @ X11 @ X12 ) )
      | ~ ( epred3_0 @ X11 )
      | ~ ( epred3_0 @ X12 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_14,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

thf(c_0_15,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_7]),c_0_10]) ).

thf(c_0_16,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_17,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_18,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_19,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_11,c_0_4]) ).

thf(c_0_20,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]) ).

thf(c_0_21,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_4]) ).

thf(c_0_22,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_23,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_4]) ).

thf(c_0_24,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_25,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_4]) ).

thf(c_0_26,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_27,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_28,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_29,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_30,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_31,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_32,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_33,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred1_0 @ esk12_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_7]),c_0_20]) ).

thf(c_0_34,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred1_0 @ esk12_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_7]),c_0_22]) ).

thf(c_0_35,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_7]),c_0_24]) ).

thf(c_0_36,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_7]),c_0_26]) ).

thf(c_0_37,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_27,c_0_4]) ).

thf(c_0_38,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_39,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_4]) ).

thf(c_0_40,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_41,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk6_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_4]) ).

thf(c_0_42,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_43,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_4]) ).

thf(c_0_44,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_45,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_31,c_0_4]) ).

thf(c_0_46,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_47,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_32,c_0_4]) ).

thf(c_0_48,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_49,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk8_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_50,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_51,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk9_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_52,negated_conjecture,
    ! [X9: g,X10: g] :
      ( ( epred1_0 @ ( esk3_0 @ X9 @ X10 ) )
      | ~ ( epred1_0 @ X9 )
      | ~ ( epred1_0 @ X10 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_53,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_13]),c_0_14]),c_0_15]) ).

thf(c_0_54,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_13]),c_0_35]),c_0_36]) ).

thf(c_0_55,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred1_0 @ esk11_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_7]),c_0_38]) ).

thf(c_0_56,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_7]),c_0_40]) ).

thf(c_0_57,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_7]),c_0_42]) ).

thf(c_0_58,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_7]),c_0_44]) ).

thf(c_0_59,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_7]),c_0_46]) ).

thf(c_0_60,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_7]),c_0_48]) ).

thf(c_0_61,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk12_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_49,c_0_4]) ).

thf(c_0_62,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_63,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk12_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_50,c_0_4]) ).

thf(c_0_64,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]) ).

thf(c_0_65,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk8_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_66,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_67,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_13]),c_0_56]),c_0_57]) ).

thf(c_0_68,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_13]),c_0_59]),c_0_60]) ).

thf(c_0_69,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_70,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_7]),c_0_62]) ).

thf(c_0_71,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred3_0 @ esk9_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_7]),c_0_64]) ).

thf(c_0_72,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_65,c_0_4]) ).

thf(c_0_73,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_52]),c_0_67]),c_0_68]) ).

thf(c_0_74,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk11_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_69,c_0_4]) ).

thf(c_0_75,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk9_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_76,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_77,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_52]),c_0_53]),c_0_54]) ).

thf(c_0_78,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_52]),c_0_53]),c_0_54]) ).

thf(c_0_79,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_7]),c_0_73]) ).

thf(c_0_80,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred3_0 @ esk9_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_7]),c_0_75]) ).

thf(c_0_81,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_82,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_13]),c_0_77]),c_0_78]) ).

thf(c_0_83,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_84,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_85,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_52]),c_0_67]),c_0_68]) ).

thf(c_0_86,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_52]),c_0_67]),c_0_68]) ).

thf(c_0_87,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_88,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_81,c_0_4]) ).

thf(c_0_89,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_90,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_82,c_0_4]) ).

thf(c_0_91,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ( epred1_0 @ esk10_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_52]),c_0_53]),c_0_54]) ).

thf(c_0_92,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_13]),c_0_85]),c_0_86]) ).

thf(c_0_93,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_94,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_87,c_0_4]) ).

thf(c_0_95,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_96,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred3_0 @ esk8_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_7]),c_0_89]) ).

thf(c_0_97,negated_conjecture,
    ! [X13: b,X14: b] :
      ( ( ( esk2_0 @ ( esk4_0 @ X13 @ X14 ) )
        = ( esk5_0 @ ( esk2_0 @ X13 ) @ ( esk2_0 @ X14 ) ) )
      | ~ ( epred2_0 @ X13 )
      | ~ ( epred2_0 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_98,negated_conjecture,
    ( ( epred1_0 @ esk12_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_52]),c_0_53]),c_0_54]) ).

thf(c_0_99,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_13]),c_0_77]),c_0_78]) ).

thf(c_0_100,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_92,c_0_4]) ).

thf(c_0_101,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ( epred1_0 @ esk10_0 )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_52]),c_0_67]),c_0_68]) ).

thf(c_0_102,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred3_0 @ esk9_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_7]),c_0_95]) ).

thf(c_0_103,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

thf(c_0_104,negated_conjecture,
    epred1_0 @ esk12_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_7]),c_0_99]) ).

thf(c_0_105,negated_conjecture,
    ( ( epred1_0 @ esk11_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_52]),c_0_67]),c_0_68]) ).

thf(c_0_106,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_13]),c_0_85]),c_0_86]) ).

thf(c_0_107,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(spm,[status(thm)],[c_0_102,c_0_97]) ).

thf(c_0_108,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_109,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred3_0 @ esk8_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_7]),c_0_104])]) ).

thf(c_0_110,negated_conjecture,
    epred1_0 @ esk11_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_7]),c_0_106]) ).

thf(c_0_111,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred3_0 @ esk9_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_7]),c_0_104])]) ).

thf(c_0_112,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(spm,[status(thm)],[c_0_108,c_0_97]) ).

thf(c_0_113,negated_conjecture,
    ! [X9: g,X10: g] :
      ( ( ( esk1_0 @ ( esk3_0 @ X9 @ X10 ) )
        = ( esk4_0 @ ( esk1_0 @ X9 ) @ ( esk1_0 @ X10 ) ) )
      | ~ ( epred1_0 @ X9 )
      | ~ ( epred1_0 @ X10 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_114,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_7]),c_0_110])]) ).

thf(c_0_115,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_7]),c_0_110])]) ).

thf(c_0_116,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_117,negated_conjecture,
    ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_118,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_119,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred3_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_120,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( epred3_0 @ esk9_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_121,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_116,c_0_4]) ).

thf(c_0_122,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_123,negated_conjecture,
    ( ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(spm,[status(thm)],[c_0_117,c_0_97]) ).

thf(c_0_124,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_13]),c_0_119]),c_0_120]) ).

thf(c_0_125,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred3_0 @ esk8_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_7]),c_0_122]) ).

thf(c_0_126,negated_conjecture,
    ( ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_113]),c_0_84]),c_0_76]) ).

thf(c_0_127,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_124,c_0_4]) ).

thf(c_0_128,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(spm,[status(thm)],[c_0_125,c_0_97]) ).

thf(c_0_129,negated_conjecture,
    ( ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_126,c_0_13]) ).

thf(c_0_130,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_7]),c_0_104])]) ).

thf(c_0_131,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_132,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred3_0 @ esk8_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_7]),c_0_104])]) ).

thf(c_0_133,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_134,negated_conjecture,
    ( ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_129,c_0_4]) ).

thf(c_0_135,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_136,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_7]),c_0_110])]) ).

thf(c_0_137,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(spm,[status(thm)],[c_0_131,c_0_97]) ).

thf(c_0_138,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_7]),c_0_110])]) ).

thf(c_0_139,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(spm,[status(thm)],[c_0_133,c_0_97]) ).

thf(c_0_140,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_134,c_0_52]) ).

thf(c_0_141,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_13]),c_0_96]),c_0_102]) ).

thf(c_0_142,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_136,c_0_7]) ).

thf(c_0_143,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_144,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred3_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_145,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_146,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk12_0 ) ),
    inference(spm,[status(thm)],[c_0_140,c_0_7]) ).

thf(c_0_147,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_97]),c_0_142]) ).

thf(c_0_148,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred3_0 @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_13]),c_0_144]) ).

thf(c_0_149,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_145,c_0_4]) ).

thf(c_0_150,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk12_0 )
    | ~ ( epred1_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_146,c_0_7]) ).

thf(c_0_151,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_152,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred3_0 @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_148,c_0_4]) ).

thf(c_0_153,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_52]),c_0_136]),c_0_144]) ).

thf(c_0_154,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_155,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_156,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk12_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_110])]) ).

thf(c_0_157,negated_conjecture,
    ( ( epred1_0 @ esk6_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_7]),c_0_104])]) ).

thf(c_0_158,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred3_0 @ esk9_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_7]),c_0_104])]) ).

thf(c_0_159,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_7]),c_0_104])]) ).

thf(c_0_160,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_154,c_0_4]) ).

thf(c_0_161,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_162,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(spm,[status(thm)],[c_0_155,c_0_97]) ).

thf(c_0_163,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_104])]) ).

thf(c_0_164,negated_conjecture,
    epred1_0 @ esk6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_7]),c_0_110])]) ).

thf(c_0_165,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred3_0 @ esk9_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_7]),c_0_110])]) ).

thf(c_0_166,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_7]),c_0_110])]) ).

thf(c_0_167,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred3_0 @ esk9_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_7]),c_0_161]) ).

thf(c_0_168,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_169,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred3_0 @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164])]),c_0_165]),c_0_166]) ).

thf(c_0_170,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(spm,[status(thm)],[c_0_167,c_0_97]) ).

thf(c_0_171,negated_conjecture,
    ( ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_4]),c_0_169]) ).

thf(c_0_172,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred3_0 @ esk9_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_7]),c_0_104])]) ).

thf(c_0_173,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred1_0 @ esk7_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_52]),c_0_164])]) ).

thf(c_0_174,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_7]),c_0_110])]) ).

thf(c_0_175,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_176,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred1_0 @ esk7_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_7]),c_0_104])]) ).

thf(c_0_177,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_165,c_0_7]) ).

thf(c_0_178,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred3_0 @ esk9_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_179,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(spm,[status(thm)],[c_0_175,c_0_97]) ).

thf(c_0_180,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) )
    | ~ ( epred1_0 @ esk7_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_7]),c_0_110])]) ).

thf(c_0_181,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

thf(c_0_182,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_183,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_184,negated_conjecture,
    ~ ( epred1_0 @ esk10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_7]),c_0_181]) ).

thf(c_0_185,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_13]),c_0_125]),c_0_167]) ).

thf(c_0_186,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk8_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_187,negated_conjecture,
    ( ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_13]),c_0_184]) ).

thf(c_0_188,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_97]),c_0_184]) ).

thf(c_0_189,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( epred1_0 @ esk10_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_52]),c_0_96]),c_0_125]) ).

thf(c_0_190,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk7_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_52]),c_0_164])]) ).

thf(c_0_191,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_192,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_97]),c_0_184]) ).

thf(c_0_193,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
    | ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk7_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_7]),c_0_104])]) ).

thf(c_0_194,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_7]),c_0_104])]) ).

thf(c_0_195,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_196,negated_conjecture,
    ( ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk7_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_7]),c_0_110])]) ).

thf(c_0_197,negated_conjecture,
    epred1_0 @ esk7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_7]),c_0_110])]) ).

thf(c_0_198,negated_conjecture,
    ( ( epred3_0 @ esk8_0 )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_7]),c_0_104])]) ).

thf(c_0_199,negated_conjecture,
    ( ( epred1_0 @ esk10_0 )
    | ( epred3_0 @ esk9_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
    | ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_200,negated_conjecture,
    ( ~ ( epred3_0 @ esk9_0 )
    | ~ ( epred3_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197])]) ).

thf(c_0_201,negated_conjecture,
    epred3_0 @ esk8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_7]),c_0_110])]) ).

thf(c_0_202,negated_conjecture,
    ( ( epred3_0 @ esk9_0 )
    | ( epred1_0 @ esk10_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_52]),c_0_102]),c_0_167]) ).

thf(c_0_203,negated_conjecture,
    ~ ( epred3_0 @ esk9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201])]) ).

thf(c_0_204,negated_conjecture,
    ( ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_97]),c_0_203]),c_0_184]) ).

thf(c_0_205,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
    | ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_113]),c_0_104]),c_0_110])]) ).

thf(c_0_206,negated_conjecture,
    ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_7]),c_0_104])]) ).

thf(c_0_207,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_7]),c_0_110])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU905^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 16:41:38 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  Running higher-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover-ho --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
% 0.19/0.51  # Version: 3.1.0-ho
% 0.19/0.51  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.51  # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.51  # Starting new_ho_3 with 300s (1) cores
% 0.19/0.51  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.19/0.51  # post_as_ho1 with pid 7236 completed with status 0
% 0.19/0.51  # Result found by post_as_ho1
% 0.19/0.51  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.51  # No SInE strategy applied
% 0.19/0.51  # Search class: HGHSF-FFMM00-MSSFFFNN
% 0.19/0.51  # partial match(1): HGHSF-FFMM00-MSSFFFBN
% 0.19/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.51  # Starting new_ho_10 with 811s (1) cores
% 0.19/0.51  # Starting post_as_ho1 with 151s (1) cores
% 0.19/0.51  # Starting new_bool_2 with 136s (1) cores
% 0.19/0.51  # Starting new_bool_9 with 136s (1) cores
% 0.19/0.51  # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.19/0.51  # post_as_ho1 with pid 7243 completed with status 0
% 0.19/0.51  # Result found by post_as_ho1
% 0.19/0.51  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.51  # No SInE strategy applied
% 0.19/0.51  # Search class: HGHSF-FFMM00-MSSFFFNN
% 0.19/0.51  # partial match(1): HGHSF-FFMM00-MSSFFFBN
% 0.19/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.51  # Starting new_ho_10 with 811s (1) cores
% 0.19/0.51  # Starting post_as_ho1 with 151s (1) cores
% 0.19/0.51  # Preprocessing time       : 0.002 s
% 0.19/0.51  # Presaturation interreduction done
% 0.19/0.51  
% 0.19/0.51  # Proof found!
% 0.19/0.51  # SZS status Theorem
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  # Parsed axioms                        : 4
% 0.19/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.51  # Initial clauses                      : 65
% 0.19/0.51  # Removed in clause preprocessing      : 3
% 0.19/0.51  # Initial clauses in saturation        : 62
% 0.19/0.51  # Processed clauses                    : 282
% 0.19/0.51  # ...of these trivial                  : 0
% 0.19/0.51  # ...subsumed                          : 7
% 0.19/0.51  # ...remaining for further processing  : 275
% 0.19/0.51  # Other redundant clauses eliminated   : 0
% 0.19/0.51  # Clauses deleted for lack of memory   : 0
% 0.19/0.51  # Backward-subsumed                    : 156
% 0.19/0.51  # Backward-rewritten                   : 35
% 0.19/0.51  # Generated clauses                    : 166
% 0.19/0.51  # ...of the previous two non-redundant : 168
% 0.19/0.51  # ...aggressively subsumed             : 0
% 0.19/0.51  # Contextual simplify-reflections      : 88
% 0.19/0.51  # Paramodulations                      : 166
% 0.19/0.51  # Factorizations                       : 0
% 0.19/0.51  # NegExts                              : 0
% 0.19/0.51  # Equation resolutions                 : 0
% 0.19/0.51  # Disequality decompositions           : 0
% 0.19/0.51  # Total rewrite steps                  : 89
% 0.19/0.51  # ...of those cached                   : 84
% 0.19/0.51  # Propositional unsat checks           : 0
% 0.19/0.51  #    Propositional check models        : 0
% 0.19/0.51  #    Propositional check unsatisfiable : 0
% 0.19/0.51  #    Propositional clauses             : 0
% 0.19/0.51  #    Propositional clauses after purity: 0
% 0.19/0.51  #    Propositional unsat core size     : 0
% 0.19/0.51  #    Propositional preprocessing time  : 0.000
% 0.19/0.51  #    Propositional encoding time       : 0.000
% 0.19/0.51  #    Propositional solver time         : 0.000
% 0.19/0.51  #    Success case prop preproc time    : 0.000
% 0.19/0.51  #    Success case prop encoding time   : 0.000
% 0.19/0.51  #    Success case prop solver time     : 0.000
% 0.19/0.51  # Current number of processed clauses  : 23
% 0.19/0.51  #    Positive orientable unit clauses  : 5
% 0.19/0.51  #    Positive unorientable unit clauses: 0
% 0.19/0.51  #    Negative unit clauses             : 4
% 0.19/0.51  #    Non-unit-clauses                  : 14
% 0.19/0.51  # Current number of unprocessed clauses: 0
% 0.19/0.51  # ...number of literals in the above   : 0
% 0.19/0.51  # Current number of archived formulas  : 0
% 0.19/0.51  # Current number of archived clauses   : 252
% 0.19/0.51  # Clause-clause subsumption calls (NU) : 2562
% 0.19/0.51  # Rec. Clause-clause subsumption calls : 768
% 0.19/0.51  # Non-unit clause-clause subsumptions  : 240
% 0.19/0.51  # Unit Clause-clause subsumption calls : 94
% 0.19/0.51  # Rewrite failures with RHS unbound    : 0
% 0.19/0.51  # BW rewrite match attempts            : 5
% 0.19/0.51  # BW rewrite match successes           : 5
% 0.19/0.51  # Condensation attempts                : 0
% 0.19/0.51  # Condensation successes               : 0
% 0.19/0.51  # Termbank termtop insertions          : 8477
% 0.19/0.51  # Search garbage collected termcells   : 1056
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.029 s
% 0.19/0.51  # System time              : 0.003 s
% 0.19/0.51  # Total time               : 0.032 s
% 0.19/0.51  # Maximum resident set size: 2048 pages
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.103 s
% 0.19/0.51  # System time              : 0.012 s
% 0.19/0.51  # Total time               : 0.115 s
% 0.19/0.51  # Maximum resident set size: 1772 pages
% 0.19/0.51  % E---3.1 exiting
% 0.19/0.51  % E exiting
%------------------------------------------------------------------------------