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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEV212^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 : Wed Sep 30 08:35:12 AM UTC 2026

% Result   : Theorem 0.80s 0.41s
% Output   : CNFRefutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   85 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :  546 ( 343 equ;   0 cnn)
%            Maximal formula atoms :  165 (   6 avg)
%            Number of connectives : 2139 ( 122   ~; 393   |; 133   &;1458   @)
%                                         (   0 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   75 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  169 ( 169   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  27 usr;   7 con; 0-3 aty)
%            Number of variables   :  232 (   0   ^; 178   !;  54   ?; 232   :)

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

thf(decl_23,type,
    cP: iS > iS > iS ).

thf(decl_24,type,
    c0: iS ).

thf(decl_25,type,
    esk1_1: ( iS > $o ) > iS ).

thf(decl_26,type,
    esk2_1: ( iS > $o ) > iS ).

thf(decl_27,type,
    esk3_0: iS ).

thf(decl_28,type,
    esk4_0: iS ).

thf(decl_29,type,
    esk5_0: iS ).

thf(decl_30,type,
    esk6_0: iS ).

thf(decl_31,type,
    esk7_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_32,type,
    esk8_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_33,type,
    esk9_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_34,type,
    esk10_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_35,type,
    esk11_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_36,type,
    esk12_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_37,type,
    esk13_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_38,type,
    esk14_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_39,type,
    esk15_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_40,type,
    esk16_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_41,type,
    esk17_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_42,type,
    esk18_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_43,type,
    esk19_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_44,type,
    esk20_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_45,type,
    esk21_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_46,type,
    esk22_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_47,type,
    esk23_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_48,type,
    esk24_1: ( iS > iS > iS > $o ) > iS ).

thf(decl_49,type,
    epred1_0: iS > iS > iS > $o ).

thf(cS_LEM2_pme,conjecture,
    ( ( ! [X1: iS,X2: iS] :
          ( ( cP @ X1 @ X2 )
         != c0 )
      & ! [X1: iS,X2: iS,X3: iS,X4: iS] :
          ( ( ( cP @ X1 @ X3 )
            = ( cP @ X2 @ X4 ) )
         => ( ( X1 = X2 )
            & ( X3 = X4 ) ) )
      & ! [X5: iS > $o] :
          ( ( ( X5 @ c0 )
            & ! [X1: iS,X2: iS] :
                ( ( ( X5 @ X1 )
                  & ( X5 @ X2 ) )
               => ( X5 @ ( cP @ X1 @ X2 ) ) ) )
         => ! [X1: iS] : ( X5 @ X1 ) ) )
   => ! [X1: iS,X2: iS,X3: iS,X4: iS] :
        ( ( ! [X6: iS > iS > iS > $o] :
              ( ( $true
                & ! [X7: iS,X8: iS,X9: iS] :
                    ( ( ( ( X7 = c0 )
                        & ( X8 = X9 ) )
                      | ( ( X8 = c0 )
                        & ( X7 = X9 ) )
                      | ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
                          ( ( X7
                            = ( cP @ X10 @ X11 ) )
                          & ( X8
                            = ( cP @ X12 @ X13 ) )
                          & ( X9
                            = ( cP @ X14 @ X15 ) )
                          & ( X6 @ X10 @ X12 @ X14 )
                          & ( X6 @ X11 @ X13 @ X15 ) ) )
                   => ( X6 @ X7 @ X8 @ X9 ) ) )
             => ( X6 @ X1 @ X2 @ X2 ) )
          & ! [X6: iS > iS > iS > $o] :
              ( ( $true
                & ! [X7: iS,X8: iS,X9: iS] :
                    ( ( ( ( X7 = c0 )
                        & ( X8 = X9 ) )
                      | ( ( X8 = c0 )
                        & ( X7 = X9 ) )
                      | ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
                          ( ( X7
                            = ( cP @ X10 @ X11 ) )
                          & ( X8
                            = ( cP @ X12 @ X13 ) )
                          & ( X9
                            = ( cP @ X14 @ X15 ) )
                          & ( X6 @ X10 @ X12 @ X14 )
                          & ( X6 @ X11 @ X13 @ X15 ) ) )
                   => ( X6 @ X7 @ X8 @ X9 ) ) )
             => ( X6 @ X3 @ X4 @ X4 ) ) )
       => ! [X6: iS > iS > iS > $o] :
            ( ( $true
              & ! [X7: iS,X8: iS,X9: iS] :
                  ( ( ( ( X7 = c0 )
                      & ( X8 = X9 ) )
                    | ( ( X8 = c0 )
                      & ( X7 = X9 ) )
                    | ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
                        ( ( X7
                          = ( cP @ X10 @ X11 ) )
                        & ( X8
                          = ( cP @ X12 @ X13 ) )
                        & ( X9
                          = ( cP @ X14 @ X15 ) )
                        & ( X6 @ X10 @ X12 @ X14 )
                        & ( X6 @ X11 @ X13 @ X15 ) ) )
                 => ( X6 @ X7 @ X8 @ X9 ) ) )
           => ( X6 @ ( cP @ X1 @ X3 ) @ ( cP @ X2 @ X4 ) @ ( cP @ X2 @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.PjmXhcervh/E---3.1_3656471.p',cS_LEM2_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ( ( ! [X1: iS,X2: iS] :
            ( ( cP @ X1 @ X2 )
           != c0 )
        & ! [X1: iS,X2: iS,X3: iS,X4: iS] :
            ( ( ( cP @ X1 @ X3 )
              = ( cP @ X2 @ X4 ) )
           => ( ( X1 = X2 )
              & ( X3 = X4 ) ) )
        & ! [X5: iS > $o] :
            ( ( ( X5 @ c0 )
              & ! [X1: iS,X2: iS] :
                  ( ( ( X5 @ X1 )
                    & ( X5 @ X2 ) )
                 => ( X5 @ ( cP @ X1 @ X2 ) ) ) )
           => ! [X1: iS] : ( X5 @ X1 ) ) )
     => ! [X1: iS,X2: iS,X3: iS,X4: iS] :
          ( ( ! [X6: iS > iS > iS > $o] :
                ( ( $true
                  & ! [X7: iS,X8: iS,X9: iS] :
                      ( ( ( ( X7 = c0 )
                          & ( X8 = X9 ) )
                        | ( ( X8 = c0 )
                          & ( X7 = X9 ) )
                        | ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
                            ( ( X7
                              = ( cP @ X10 @ X11 ) )
                            & ( X8
                              = ( cP @ X12 @ X13 ) )
                            & ( X9
                              = ( cP @ X14 @ X15 ) )
                            & ( X6 @ X10 @ X12 @ X14 )
                            & ( X6 @ X11 @ X13 @ X15 ) ) )
                     => ( X6 @ X7 @ X8 @ X9 ) ) )
               => ( X6 @ X1 @ X2 @ X2 ) )
            & ! [X6: iS > iS > iS > $o] :
                ( ( $true
                  & ! [X7: iS,X8: iS,X9: iS] :
                      ( ( ( ( X7 = c0 )
                          & ( X8 = X9 ) )
                        | ( ( X8 = c0 )
                          & ( X7 = X9 ) )
                        | ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
                            ( ( X7
                              = ( cP @ X10 @ X11 ) )
                            & ( X8
                              = ( cP @ X12 @ X13 ) )
                            & ( X9
                              = ( cP @ X14 @ X15 ) )
                            & ( X6 @ X10 @ X12 @ X14 )
                            & ( X6 @ X11 @ X13 @ X15 ) ) )
                     => ( X6 @ X7 @ X8 @ X9 ) ) )
               => ( X6 @ X3 @ X4 @ X4 ) ) )
         => ! [X6: iS > iS > iS > $o] :
              ( ( $true
                & ! [X7: iS,X8: iS,X9: iS] :
                    ( ( ( ( X7 = c0 )
                        & ( X8 = X9 ) )
                      | ( ( X8 = c0 )
                        & ( X7 = X9 ) )
                      | ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
                          ( ( X7
                            = ( cP @ X10 @ X11 ) )
                          & ( X8
                            = ( cP @ X12 @ X13 ) )
                          & ( X9
                            = ( cP @ X14 @ X15 ) )
                          & ( X6 @ X10 @ X12 @ X14 )
                          & ( X6 @ X11 @ X13 @ X15 ) ) )
                   => ( X6 @ X7 @ X8 @ X9 ) ) )
             => ( X6 @ ( cP @ X1 @ X3 ) @ ( cP @ X2 @ X4 ) @ ( cP @ X2 @ X4 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[cS_LEM2_pme]) ).

thf(c_0_2,negated_conjecture,
    ~ ( ( ! [X1: iS,X2: iS] :
            ( ( cP @ X1 @ X2 )
           != c0 )
        & ! [X1: iS,X2: iS,X3: iS,X4: iS] :
            ( ( ( cP @ X1 @ X3 )
              = ( cP @ X2 @ X4 ) )
           => ( ( X1 = X2 )
              & ( X3 = X4 ) ) )
        & ! [X5: iS > $o] :
            ( ( ( X5 @ c0 )
              & ! [X1: iS,X2: iS] :
                  ( ( ( X5 @ X1 )
                    & ( X5 @ X2 ) )
                 => ( X5 @ ( cP @ X1 @ X2 ) ) ) )
           => ! [X1: iS] : ( X5 @ X1 ) ) )
     => ! [X1: iS,X2: iS,X3: iS,X4: iS] :
          ( ( ! [X6: iS > iS > iS > $o] :
                ( ( $true
                  & ! [X7: iS,X8: iS,X9: iS] :
                      ( ( ( ( X7 = c0 )
                          & ( X8 = X9 ) )
                        | ( ( X8 = c0 )
                          & ( X7 = X9 ) )
                        | ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
                            ( ( X7
                              = ( cP @ X10 @ X11 ) )
                            & ( X8
                              = ( cP @ X12 @ X13 ) )
                            & ( X9
                              = ( cP @ X14 @ X15 ) )
                            & ( X6 @ X10 @ X12 @ X14 )
                            & ( X6 @ X11 @ X13 @ X15 ) ) )
                     => ( X6 @ X7 @ X8 @ X9 ) ) )
               => ( X6 @ X1 @ X2 @ X2 ) )
            & ! [X6: iS > iS > iS > $o] :
                ( ( $true
                  & ! [X7: iS,X8: iS,X9: iS] :
                      ( ( ( ( X7 = c0 )
                          & ( X8 = X9 ) )
                        | ( ( X8 = c0 )
                          & ( X7 = X9 ) )
                        | ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
                            ( ( X7
                              = ( cP @ X10 @ X11 ) )
                            & ( X8
                              = ( cP @ X12 @ X13 ) )
                            & ( X9
                              = ( cP @ X14 @ X15 ) )
                            & ( X6 @ X10 @ X12 @ X14 )
                            & ( X6 @ X11 @ X13 @ X15 ) ) )
                     => ( X6 @ X7 @ X8 @ X9 ) ) )
               => ( X6 @ X3 @ X4 @ X4 ) ) )
         => ! [X6: iS > iS > iS > $o] :
              ( ( $true
                & ! [X7: iS,X8: iS,X9: iS] :
                    ( ( ( ( X7 = c0 )
                        & ( X8 = X9 ) )
                      | ( ( X8 = c0 )
                        & ( X7 = X9 ) )
                      | ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
                          ( ( X7
                            = ( cP @ X10 @ X11 ) )
                          & ( X8
                            = ( cP @ X12 @ X13 ) )
                          & ( X9
                            = ( cP @ X14 @ X15 ) )
                          & ( X6 @ X10 @ X12 @ X14 )
                          & ( X6 @ X11 @ X13 @ X15 ) ) )
                   => ( X6 @ X7 @ X8 @ X9 ) ) )
             => ( X6 @ ( cP @ X1 @ X3 ) @ ( cP @ X2 @ X4 ) @ ( cP @ X2 @ X4 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

thf(c_0_3,negated_conjecture,
    ! [X60: iS,X61: iS,X62: iS,X63: iS,X64: iS,X65: iS,X66: iS > $o,X69: iS,X74: iS > iS > iS > $o,X84: iS > iS > iS > $o,X95: iS,X96: iS,X97: iS,X98: iS,X99: iS,X100: iS,X101: iS,X102: iS,X103: iS] :
      ( ( ( cP @ X60 @ X61 )
       != c0 )
      & ( ( X62 = X63 )
        | ( ( cP @ X62 @ X64 )
         != ( cP @ X63 @ X65 ) ) )
      & ( ( X64 = X65 )
        | ( ( cP @ X62 @ X64 )
         != ( cP @ X63 @ X65 ) ) )
      & ( ( X66 @ ( esk1_1 @ X66 ) )
        | ~ ( X66 @ c0 )
        | ( X66 @ X69 ) )
      & ( ( X66 @ ( esk2_1 @ X66 ) )
        | ~ ( X66 @ c0 )
        | ( X66 @ X69 ) )
      & ( ~ ( X66 @ ( cP @ ( esk1_1 @ X66 ) @ ( esk2_1 @ X66 ) ) )
        | ~ ( X66 @ c0 )
        | ( X66 @ X69 ) )
      & ( ( ( esk7_1 @ X74 )
          = ( cP @ ( esk10_1 @ X74 ) @ ( esk11_1 @ X74 ) ) )
        | ( ( esk8_1 @ X74 )
          = c0 )
        | ( ( esk7_1 @ X74 )
          = c0 )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk8_1 @ X74 )
          = ( cP @ ( esk12_1 @ X74 ) @ ( esk13_1 @ X74 ) ) )
        | ( ( esk8_1 @ X74 )
          = c0 )
        | ( ( esk7_1 @ X74 )
          = c0 )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk9_1 @ X74 )
          = ( cP @ ( esk14_1 @ X74 ) @ ( esk15_1 @ X74 ) ) )
        | ( ( esk8_1 @ X74 )
          = c0 )
        | ( ( esk7_1 @ X74 )
          = c0 )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( X74 @ ( esk10_1 @ X74 ) @ ( esk12_1 @ X74 ) @ ( esk14_1 @ X74 ) )
        | ( ( esk8_1 @ X74 )
          = c0 )
        | ( ( esk7_1 @ X74 )
          = c0 )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( X74 @ ( esk11_1 @ X74 ) @ ( esk13_1 @ X74 ) @ ( esk15_1 @ X74 ) )
        | ( ( esk8_1 @ X74 )
          = c0 )
        | ( ( esk7_1 @ X74 )
          = c0 )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk7_1 @ X74 )
          = ( cP @ ( esk10_1 @ X74 ) @ ( esk11_1 @ X74 ) ) )
        | ( ( esk7_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ( ( esk7_1 @ X74 )
          = c0 )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk8_1 @ X74 )
          = ( cP @ ( esk12_1 @ X74 ) @ ( esk13_1 @ X74 ) ) )
        | ( ( esk7_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ( ( esk7_1 @ X74 )
          = c0 )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk9_1 @ X74 )
          = ( cP @ ( esk14_1 @ X74 ) @ ( esk15_1 @ X74 ) ) )
        | ( ( esk7_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ( ( esk7_1 @ X74 )
          = c0 )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( X74 @ ( esk10_1 @ X74 ) @ ( esk12_1 @ X74 ) @ ( esk14_1 @ X74 ) )
        | ( ( esk7_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ( ( esk7_1 @ X74 )
          = c0 )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( X74 @ ( esk11_1 @ X74 ) @ ( esk13_1 @ X74 ) @ ( esk15_1 @ X74 ) )
        | ( ( esk7_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ( ( esk7_1 @ X74 )
          = c0 )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk7_1 @ X74 )
          = ( cP @ ( esk10_1 @ X74 ) @ ( esk11_1 @ X74 ) ) )
        | ( ( esk8_1 @ X74 )
          = c0 )
        | ( ( esk8_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk8_1 @ X74 )
          = ( cP @ ( esk12_1 @ X74 ) @ ( esk13_1 @ X74 ) ) )
        | ( ( esk8_1 @ X74 )
          = c0 )
        | ( ( esk8_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk9_1 @ X74 )
          = ( cP @ ( esk14_1 @ X74 ) @ ( esk15_1 @ X74 ) ) )
        | ( ( esk8_1 @ X74 )
          = c0 )
        | ( ( esk8_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( X74 @ ( esk10_1 @ X74 ) @ ( esk12_1 @ X74 ) @ ( esk14_1 @ X74 ) )
        | ( ( esk8_1 @ X74 )
          = c0 )
        | ( ( esk8_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( X74 @ ( esk11_1 @ X74 ) @ ( esk13_1 @ X74 ) @ ( esk15_1 @ X74 ) )
        | ( ( esk8_1 @ X74 )
          = c0 )
        | ( ( esk8_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk7_1 @ X74 )
          = ( cP @ ( esk10_1 @ X74 ) @ ( esk11_1 @ X74 ) ) )
        | ( ( esk7_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ( ( esk8_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk8_1 @ X74 )
          = ( cP @ ( esk12_1 @ X74 ) @ ( esk13_1 @ X74 ) ) )
        | ( ( esk7_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ( ( esk8_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk9_1 @ X74 )
          = ( cP @ ( esk14_1 @ X74 ) @ ( esk15_1 @ X74 ) ) )
        | ( ( esk7_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ( ( esk8_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( X74 @ ( esk10_1 @ X74 ) @ ( esk12_1 @ X74 ) @ ( esk14_1 @ X74 ) )
        | ( ( esk7_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ( ( esk8_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( X74 @ ( esk11_1 @ X74 ) @ ( esk13_1 @ X74 ) @ ( esk15_1 @ X74 ) )
        | ( ( esk7_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ( ( esk8_1 @ X74 )
          = ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ~ ( X74 @ ( esk7_1 @ X74 ) @ ( esk8_1 @ X74 ) @ ( esk9_1 @ X74 ) )
        | ~ $true
        | ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
      & ( ( ( esk16_1 @ X84 )
          = ( cP @ ( esk19_1 @ X84 ) @ ( esk20_1 @ X84 ) ) )
        | ( ( esk17_1 @ X84 )
          = c0 )
        | ( ( esk16_1 @ X84 )
          = c0 )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk17_1 @ X84 )
          = ( cP @ ( esk21_1 @ X84 ) @ ( esk22_1 @ X84 ) ) )
        | ( ( esk17_1 @ X84 )
          = c0 )
        | ( ( esk16_1 @ X84 )
          = c0 )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk18_1 @ X84 )
          = ( cP @ ( esk23_1 @ X84 ) @ ( esk24_1 @ X84 ) ) )
        | ( ( esk17_1 @ X84 )
          = c0 )
        | ( ( esk16_1 @ X84 )
          = c0 )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( X84 @ ( esk19_1 @ X84 ) @ ( esk21_1 @ X84 ) @ ( esk23_1 @ X84 ) )
        | ( ( esk17_1 @ X84 )
          = c0 )
        | ( ( esk16_1 @ X84 )
          = c0 )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( X84 @ ( esk20_1 @ X84 ) @ ( esk22_1 @ X84 ) @ ( esk24_1 @ X84 ) )
        | ( ( esk17_1 @ X84 )
          = c0 )
        | ( ( esk16_1 @ X84 )
          = c0 )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk16_1 @ X84 )
          = ( cP @ ( esk19_1 @ X84 ) @ ( esk20_1 @ X84 ) ) )
        | ( ( esk16_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ( ( esk16_1 @ X84 )
          = c0 )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk17_1 @ X84 )
          = ( cP @ ( esk21_1 @ X84 ) @ ( esk22_1 @ X84 ) ) )
        | ( ( esk16_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ( ( esk16_1 @ X84 )
          = c0 )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk18_1 @ X84 )
          = ( cP @ ( esk23_1 @ X84 ) @ ( esk24_1 @ X84 ) ) )
        | ( ( esk16_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ( ( esk16_1 @ X84 )
          = c0 )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( X84 @ ( esk19_1 @ X84 ) @ ( esk21_1 @ X84 ) @ ( esk23_1 @ X84 ) )
        | ( ( esk16_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ( ( esk16_1 @ X84 )
          = c0 )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( X84 @ ( esk20_1 @ X84 ) @ ( esk22_1 @ X84 ) @ ( esk24_1 @ X84 ) )
        | ( ( esk16_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ( ( esk16_1 @ X84 )
          = c0 )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk16_1 @ X84 )
          = ( cP @ ( esk19_1 @ X84 ) @ ( esk20_1 @ X84 ) ) )
        | ( ( esk17_1 @ X84 )
          = c0 )
        | ( ( esk17_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk17_1 @ X84 )
          = ( cP @ ( esk21_1 @ X84 ) @ ( esk22_1 @ X84 ) ) )
        | ( ( esk17_1 @ X84 )
          = c0 )
        | ( ( esk17_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk18_1 @ X84 )
          = ( cP @ ( esk23_1 @ X84 ) @ ( esk24_1 @ X84 ) ) )
        | ( ( esk17_1 @ X84 )
          = c0 )
        | ( ( esk17_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( X84 @ ( esk19_1 @ X84 ) @ ( esk21_1 @ X84 ) @ ( esk23_1 @ X84 ) )
        | ( ( esk17_1 @ X84 )
          = c0 )
        | ( ( esk17_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( X84 @ ( esk20_1 @ X84 ) @ ( esk22_1 @ X84 ) @ ( esk24_1 @ X84 ) )
        | ( ( esk17_1 @ X84 )
          = c0 )
        | ( ( esk17_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk16_1 @ X84 )
          = ( cP @ ( esk19_1 @ X84 ) @ ( esk20_1 @ X84 ) ) )
        | ( ( esk16_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ( ( esk17_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk17_1 @ X84 )
          = ( cP @ ( esk21_1 @ X84 ) @ ( esk22_1 @ X84 ) ) )
        | ( ( esk16_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ( ( esk17_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( ( esk18_1 @ X84 )
          = ( cP @ ( esk23_1 @ X84 ) @ ( esk24_1 @ X84 ) ) )
        | ( ( esk16_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ( ( esk17_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( X84 @ ( esk19_1 @ X84 ) @ ( esk21_1 @ X84 ) @ ( esk23_1 @ X84 ) )
        | ( ( esk16_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ( ( esk17_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ( X84 @ ( esk20_1 @ X84 ) @ ( esk22_1 @ X84 ) @ ( esk24_1 @ X84 ) )
        | ( ( esk16_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ( ( esk17_1 @ X84 )
          = ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & ( ~ ( X84 @ ( esk16_1 @ X84 ) @ ( esk17_1 @ X84 ) @ ( esk18_1 @ X84 ) )
        | ~ $true
        | ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
      & $true
      & ( ( X95 != c0 )
        | ( X96 != X97 )
        | ( epred1_0 @ X95 @ X96 @ X97 ) )
      & ( ( X96 != c0 )
        | ( X95 != X97 )
        | ( epred1_0 @ X95 @ X96 @ X97 ) )
      & ( ( X95
         != ( cP @ X98 @ X99 ) )
        | ( X96
         != ( cP @ X100 @ X101 ) )
        | ( X97
         != ( cP @ X102 @ X103 ) )
        | ~ ( epred1_0 @ X98 @ X100 @ X102 )
        | ~ ( epred1_0 @ X99 @ X101 @ X103 )
        | ( epred1_0 @ X95 @ X96 @ X97 ) )
      & ~ ( epred1_0 @ ( cP @ esk3_0 @ esk5_0 ) @ ( cP @ esk4_0 @ esk6_0 ) @ ( cP @ esk4_0 @ esk6_0 ) ) ),
    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_2])])])])])]) ).

thf(c_0_4,negated_conjecture,
    ! [X7: iS,X1: iS,X2: iS,X4: iS,X3: iS,X9: iS,X8: iS,X10: iS,X11: iS] :
      ( ( epred1_0 @ X1 @ X4 @ X9 )
      | ( X1
       != ( cP @ X2 @ X3 ) )
      | ( X4
       != ( cP @ X7 @ X8 ) )
      | ( X9
       != ( cP @ X10 @ X11 ) )
      | ~ ( epred1_0 @ X2 @ X7 @ X10 )
      | ~ ( epred1_0 @ X3 @ X8 @ X11 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_5,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk8_1 @ X6 )
        = ( cP @ ( esk12_1 @ X6 ) @ ( esk13_1 @ X6 ) ) )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk7_1 @ X6 )
        = c0 )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_6,negated_conjecture,
    ! [X2: iS,X8: iS,X4: iS,X3: iS,X1: iS,X7: iS] :
      ( ( epred1_0 @ ( cP @ X1 @ X2 ) @ ( cP @ X3 @ X4 ) @ ( cP @ X7 @ X8 ) )
      | ~ ( epred1_0 @ X2 @ X4 @ X8 )
      | ~ ( epred1_0 @ X1 @ X3 @ X7 ) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_4])])]) ).

thf(c_0_7,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk7_1 @ X6 )
        = c0 )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk8_1 @ X6 )
        = ( cP @ ( esk12_1 @ X6 ) @ ( esk13_1 @ X6 ) ) )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[c_0_5]) ).

thf(c_0_8,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( X6 @ ( esk11_1 @ X6 ) @ ( esk13_1 @ X6 ) @ ( esk15_1 @ X6 ) )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk7_1 @ X6 )
        = c0 )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_9,negated_conjecture,
    ! [X6: iS > iS > iS > $o,X2: iS,X1: iS,X4: iS,X3: iS] :
      ( ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk7_1 @ X6 )
        = c0 )
      | ( epred1_0 @ ( cP @ X1 @ X2 ) @ ( esk8_1 @ X6 ) @ ( cP @ X3 @ X4 ) )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ ( epred1_0 @ X2 @ ( esk13_1 @ X6 ) @ X4 )
      | ~ ( epred1_0 @ X1 @ ( esk12_1 @ X6 ) @ X3 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_10,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk7_1 @ X6 )
        = c0 )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ( X6 @ ( esk11_1 @ X6 ) @ ( esk13_1 @ X6 ) @ ( esk15_1 @ X6 ) ) ),
    inference(cn,[status(thm)],[c_0_8]) ).

thf(c_0_11,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( X6 @ ( esk10_1 @ X6 ) @ ( esk12_1 @ X6 ) @ ( esk14_1 @ X6 ) )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk7_1 @ X6 )
        = c0 )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_12,negated_conjecture,
    ! [X1: iS,X2: iS] :
      ( ( ( esk7_1 @ epred1_0 )
        = c0 )
      | ( ( esk8_1 @ epred1_0 )
        = c0 )
      | ( epred1_0 @ ( cP @ X1 @ ( esk11_1 @ epred1_0 ) ) @ ( esk8_1 @ epred1_0 ) @ ( cP @ X2 @ ( esk15_1 @ epred1_0 ) ) )
      | ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ ( epred1_0 @ X1 @ ( esk12_1 @ epred1_0 ) @ X2 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_13,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk7_1 @ X6 )
        = c0 )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ( X6 @ ( esk10_1 @ X6 ) @ ( esk12_1 @ X6 ) @ ( esk14_1 @ X6 ) ) ),
    inference(cn,[status(thm)],[c_0_11]) ).

thf(c_0_14,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk9_1 @ X6 )
        = ( cP @ ( esk14_1 @ X6 ) @ ( esk15_1 @ X6 ) ) )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk7_1 @ X6 )
        = c0 )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_15,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk7_1 @ X6 )
        = ( cP @ ( esk10_1 @ X6 ) @ ( esk11_1 @ X6 ) ) )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk8_1 @ X6 )
        = ( esk9_1 @ X6 ) )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_16,negated_conjecture,
    ( ( ( esk8_1 @ epred1_0 )
      = c0 )
    | ( ( esk7_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ ( cP @ ( esk10_1 @ epred1_0 ) @ ( esk11_1 @ epred1_0 ) ) @ ( esk8_1 @ epred1_0 ) @ ( cP @ ( esk14_1 @ epred1_0 ) @ ( esk15_1 @ epred1_0 ) ) )
    | ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_17,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk7_1 @ X6 )
        = c0 )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk9_1 @ X6 )
        = ( cP @ ( esk14_1 @ X6 ) @ ( esk15_1 @ X6 ) ) )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[c_0_14]) ).

thf(c_0_18,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk7_1 @ X6 )
        = ( cP @ ( esk10_1 @ X6 ) @ ( esk11_1 @ X6 ) ) )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk7_1 @ X6 )
        = c0 )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_19,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ ( X6 @ ( esk7_1 @ X6 ) @ ( esk8_1 @ X6 ) @ ( esk9_1 @ X6 ) )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_20,negated_conjecture,
    ! [X1: iS,X2: iS] :
      ( ( cP @ X1 @ X2 )
     != c0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_21,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk9_1 @ X6 )
        = ( esk8_1 @ X6 ) )
      | ( ( esk7_1 @ X6 )
        = ( cP @ ( esk10_1 @ X6 ) @ ( esk11_1 @ X6 ) ) )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[c_0_15]) ).

thf(c_0_22,negated_conjecture,
    ( ( ( esk7_1 @ epred1_0 )
      = c0 )
    | ( ( esk8_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ ( cP @ ( esk10_1 @ epred1_0 ) @ ( esk11_1 @ epred1_0 ) ) @ ( esk8_1 @ epred1_0 ) @ ( esk9_1 @ epred1_0 ) )
    | ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_23,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk7_1 @ X6 )
        = c0 )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( ( esk7_1 @ X6 )
        = ( cP @ ( esk10_1 @ X6 ) @ ( esk11_1 @ X6 ) ) )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[c_0_18]) ).

thf(c_0_24,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ ( X6 @ ( esk7_1 @ X6 ) @ ( esk8_1 @ X6 ) @ ( esk9_1 @ X6 ) ) ),
    inference(cn,[status(thm)],[c_0_19]) ).

thf(c_0_25,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk9_1 @ X6 )
        = ( esk8_1 @ X6 ) )
      | ( ( esk8_1 @ X6 )
        = c0 )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ( ( esk7_1 @ X6 )
       != c0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

thf(c_0_26,negated_conjecture,
    ( ( ( esk8_1 @ epred1_0 )
      = c0 )
    | ( ( esk7_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

thf(c_0_27,negated_conjecture,
    ( ( ( esk9_1 @ epred1_0 )
      = ( esk8_1 @ epred1_0 ) )
    | ( ( esk8_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

thf(c_0_28,negated_conjecture,
    ! [X1: iS,X2: iS,X3: iS] :
      ( ( epred1_0 @ X1 @ X2 @ X3 )
      | ( X1 != c0 )
      | ( X2 != X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_29,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk8_1 @ X6 )
        = ( cP @ ( esk12_1 @ X6 ) @ ( esk13_1 @ X6 ) ) )
      | ( ( esk7_1 @ X6 )
        = ( esk9_1 @ X6 ) )
      | ( ( esk8_1 @ X6 )
        = ( esk9_1 @ X6 ) )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_30,negated_conjecture,
    ( ( ( esk8_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 )
    | ~ ( epred1_0 @ ( esk7_1 @ epred1_0 ) @ ( esk8_1 @ epred1_0 ) @ ( esk8_1 @ epred1_0 ) ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_27]) ).

thf(c_0_31,negated_conjecture,
    ! [X1: iS] : ( epred1_0 @ c0 @ X1 @ X1 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])]) ).

thf(c_0_32,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk9_1 @ X6 )
        = ( esk7_1 @ X6 ) )
      | ( ( esk9_1 @ X6 )
        = ( esk8_1 @ X6 ) )
      | ( ( esk8_1 @ X6 )
        = ( cP @ ( esk12_1 @ X6 ) @ ( esk13_1 @ X6 ) ) )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[c_0_29]) ).

thf(c_0_33,negated_conjecture,
    ( ( ( esk8_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_31])]) ).

thf(c_0_34,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk9_1 @ X6 )
        = ( esk8_1 @ X6 ) )
      | ( ( esk9_1 @ X6 )
        = ( esk7_1 @ X6 ) )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ( ( esk8_1 @ X6 )
       != c0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_32]) ).

thf(c_0_35,negated_conjecture,
    ! [X1: iS,X2: iS,X3: iS] :
      ( ( epred1_0 @ X2 @ X1 @ X3 )
      | ( X1 != c0 )
      | ( X2 != X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_36,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk9_1 @ X6 )
        = ( cP @ ( esk14_1 @ X6 ) @ ( esk15_1 @ X6 ) ) )
      | ( ( esk7_1 @ X6 )
        = ( esk9_1 @ X6 ) )
      | ( ( esk7_1 @ X6 )
        = c0 )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_37,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 )
    | ~ ( epred1_0 @ ( esk7_1 @ epred1_0 ) @ c0 @ ( esk9_1 @ epred1_0 ) ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_33]) ).

thf(c_0_38,negated_conjecture,
    ( ( ( esk9_1 @ epred1_0 )
      = ( esk7_1 @ epred1_0 ) )
    | ( ( esk9_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_34,c_0_33]) ).

thf(c_0_39,negated_conjecture,
    ! [X1: iS] : ( epred1_0 @ X1 @ c0 @ X1 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_35])]) ).

thf(c_0_40,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk7_1 @ X6 )
        = c0 )
      | ( ( esk9_1 @ X6 )
        = ( esk7_1 @ X6 ) )
      | ( ( esk9_1 @ X6 )
        = ( cP @ ( esk14_1 @ X6 ) @ ( esk15_1 @ X6 ) ) )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[c_0_36]) ).

thf(c_0_41,negated_conjecture,
    ( ( ( esk9_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).

thf(c_0_42,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk9_1 @ X6 )
        = ( esk7_1 @ X6 ) )
      | ( ( esk7_1 @ X6 )
        = c0 )
      | ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
      | ( ( esk9_1 @ X6 )
       != c0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_40]) ).

thf(c_0_43,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk16_1 @ X6 )
        = ( cP @ ( esk19_1 @ X6 ) @ ( esk20_1 @ X6 ) ) )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk16_1 @ X6 )
        = c0 )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_44,negated_conjecture,
    ~ ( epred1_0 @ ( cP @ esk3_0 @ esk5_0 ) @ ( cP @ esk4_0 @ esk6_0 ) @ ( cP @ esk4_0 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_45,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 )
    | ~ ( epred1_0 @ ( esk7_1 @ epred1_0 ) @ c0 @ c0 ) ),
    inference(spm,[status(thm)],[c_0_37,c_0_41]) ).

thf(c_0_46,negated_conjecture,
    ( ( ( esk7_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_42,c_0_41]) ).

thf(c_0_47,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk16_1 @ X6 )
        = c0 )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk16_1 @ X6 )
        = ( cP @ ( esk19_1 @ X6 ) @ ( esk20_1 @ X6 ) ) )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[c_0_43]) ).

thf(c_0_48,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( X6 @ ( esk20_1 @ X6 ) @ ( esk22_1 @ X6 ) @ ( esk24_1 @ X6 ) )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk16_1 @ X6 )
        = c0 )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_49,negated_conjecture,
    ( ~ ( epred1_0 @ esk5_0 @ esk6_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_44,c_0_6]) ).

thf(c_0_50,negated_conjecture,
    epred1_0 @ esk3_0 @ esk4_0 @ esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_39])]) ).

thf(c_0_51,negated_conjecture,
    ! [X6: iS > iS > iS > $o,X1: iS,X2: iS,X4: iS,X3: iS] :
      ( ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk16_1 @ X6 )
        = c0 )
      | ( epred1_0 @ ( esk16_1 @ X6 ) @ ( cP @ X1 @ X2 ) @ ( cP @ X3 @ X4 ) )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ ( epred1_0 @ ( esk20_1 @ X6 ) @ X2 @ X4 )
      | ~ ( epred1_0 @ ( esk19_1 @ X6 ) @ X1 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_47]) ).

thf(c_0_52,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk16_1 @ X6 )
        = c0 )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ( X6 @ ( esk20_1 @ X6 ) @ ( esk22_1 @ X6 ) @ ( esk24_1 @ X6 ) ) ),
    inference(cn,[status(thm)],[c_0_48]) ).

thf(c_0_53,negated_conjecture,
    ~ ( epred1_0 @ esk5_0 @ esk6_0 @ esk6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).

thf(c_0_54,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( X6 @ ( esk19_1 @ X6 ) @ ( esk21_1 @ X6 ) @ ( esk23_1 @ X6 ) )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk16_1 @ X6 )
        = c0 )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_55,negated_conjecture,
    ! [X1: iS,X2: iS] :
      ( ( ( esk16_1 @ epred1_0 )
        = c0 )
      | ( ( esk17_1 @ epred1_0 )
        = c0 )
      | ( epred1_0 @ ( esk16_1 @ epred1_0 ) @ ( cP @ X1 @ ( esk22_1 @ epred1_0 ) ) @ ( cP @ X2 @ ( esk24_1 @ epred1_0 ) ) )
      | ~ ( epred1_0 @ ( esk19_1 @ epred1_0 ) @ X1 @ X2 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

thf(c_0_56,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk16_1 @ X6 )
        = c0 )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ( X6 @ ( esk19_1 @ X6 ) @ ( esk21_1 @ X6 ) @ ( esk23_1 @ X6 ) ) ),
    inference(cn,[status(thm)],[c_0_54]) ).

thf(c_0_57,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk18_1 @ X6 )
        = ( cP @ ( esk23_1 @ X6 ) @ ( esk24_1 @ X6 ) ) )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk16_1 @ X6 )
        = c0 )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_58,negated_conjecture,
    ( ( ( esk17_1 @ epred1_0 )
      = c0 )
    | ( ( esk16_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ ( esk16_1 @ epred1_0 ) @ ( cP @ ( esk21_1 @ epred1_0 ) @ ( esk22_1 @ epred1_0 ) ) @ ( cP @ ( esk23_1 @ epred1_0 ) @ ( esk24_1 @ epred1_0 ) ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_53]) ).

thf(c_0_59,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk16_1 @ X6 )
        = c0 )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk18_1 @ X6 )
        = ( cP @ ( esk23_1 @ X6 ) @ ( esk24_1 @ X6 ) ) )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[c_0_57]) ).

thf(c_0_60,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk17_1 @ X6 )
        = ( cP @ ( esk21_1 @ X6 ) @ ( esk22_1 @ X6 ) ) )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk16_1 @ X6 )
        = c0 )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_61,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ ( X6 @ ( esk16_1 @ X6 ) @ ( esk17_1 @ X6 ) @ ( esk18_1 @ X6 ) )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_62,negated_conjecture,
    ( ( ( esk16_1 @ epred1_0 )
      = c0 )
    | ( ( esk17_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ ( esk16_1 @ epred1_0 ) @ ( cP @ ( esk21_1 @ epred1_0 ) @ ( esk22_1 @ epred1_0 ) ) @ ( esk18_1 @ epred1_0 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_53]) ).

thf(c_0_63,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk16_1 @ X6 )
        = c0 )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk17_1 @ X6 )
        = ( cP @ ( esk21_1 @ X6 ) @ ( esk22_1 @ X6 ) ) )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[c_0_60]) ).

thf(c_0_64,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk17_1 @ X6 )
        = ( cP @ ( esk21_1 @ X6 ) @ ( esk22_1 @ X6 ) ) )
      | ( ( esk16_1 @ X6 )
        = ( esk18_1 @ X6 ) )
      | ( ( esk16_1 @ X6 )
        = c0 )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_65,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ ( X6 @ ( esk16_1 @ X6 ) @ ( esk17_1 @ X6 ) @ ( esk18_1 @ X6 ) ) ),
    inference(cn,[status(thm)],[c_0_61]) ).

thf(c_0_66,negated_conjecture,
    ( ( ( esk17_1 @ epred1_0 )
      = c0 )
    | ( ( esk16_1 @ epred1_0 )
      = c0 )
    | ( epred1_0 @ ( esk16_1 @ epred1_0 ) @ ( esk17_1 @ epred1_0 ) @ ( esk18_1 @ epred1_0 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_53]) ).

thf(c_0_67,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk16_1 @ X6 )
        = c0 )
      | ( ( esk18_1 @ X6 )
        = ( esk16_1 @ X6 ) )
      | ( ( esk17_1 @ X6 )
        = ( cP @ ( esk21_1 @ X6 ) @ ( esk22_1 @ X6 ) ) )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[c_0_64]) ).

thf(c_0_68,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk16_1 @ X6 )
        = ( cP @ ( esk19_1 @ X6 ) @ ( esk20_1 @ X6 ) ) )
      | ( ( esk16_1 @ X6 )
        = ( esk18_1 @ X6 ) )
      | ( ( esk17_1 @ X6 )
        = ( esk18_1 @ X6 ) )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_69,negated_conjecture,
    ( ( ( esk16_1 @ epred1_0 )
      = c0 )
    | ( ( esk17_1 @ epred1_0 )
      = c0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_53]) ).

thf(c_0_70,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk18_1 @ X6 )
        = ( esk16_1 @ X6 ) )
      | ( ( esk16_1 @ X6 )
        = c0 )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ( ( esk17_1 @ X6 )
       != c0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_67]) ).

thf(c_0_71,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk18_1 @ X6 )
        = ( esk16_1 @ X6 ) )
      | ( ( esk18_1 @ X6 )
        = ( esk17_1 @ X6 ) )
      | ( ( esk16_1 @ X6 )
        = ( cP @ ( esk19_1 @ X6 ) @ ( esk20_1 @ X6 ) ) )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[c_0_68]) ).

thf(c_0_72,negated_conjecture,
    ( ( ( esk16_1 @ epred1_0 )
      = c0 )
    | ~ ( epred1_0 @ ( esk16_1 @ epred1_0 ) @ c0 @ ( esk18_1 @ epred1_0 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_69]),c_0_53]) ).

thf(c_0_73,negated_conjecture,
    ( ( ( esk18_1 @ epred1_0 )
      = ( esk16_1 @ epred1_0 ) )
    | ( ( esk16_1 @ epred1_0 )
      = c0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_69]),c_0_53]) ).

thf(c_0_74,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk18_1 @ X6 )
        = ( esk17_1 @ X6 ) )
      | ( ( esk18_1 @ X6 )
        = ( esk16_1 @ X6 ) )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ( ( esk16_1 @ X6 )
       != c0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_71]) ).

thf(c_0_75,negated_conjecture,
    ( ( esk16_1 @ epred1_0 )
    = c0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_39])]) ).

thf(c_0_76,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk18_1 @ X6 )
        = ( cP @ ( esk23_1 @ X6 ) @ ( esk24_1 @ X6 ) ) )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk17_1 @ X6 )
        = ( esk18_1 @ X6 ) )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_77,negated_conjecture,
    ( ( ( esk18_1 @ epred1_0 )
      = ( esk17_1 @ epred1_0 ) )
    | ( ( esk18_1 @ epred1_0 )
      = c0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_53]) ).

thf(c_0_78,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk17_1 @ X6 )
        = c0 )
      | ( ( esk18_1 @ X6 )
        = ( esk17_1 @ X6 ) )
      | ( ( esk18_1 @ X6 )
        = ( cP @ ( esk23_1 @ X6 ) @ ( esk24_1 @ X6 ) ) )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[c_0_76]) ).

thf(c_0_79,negated_conjecture,
    ~ ( epred1_0 @ c0 @ ( esk17_1 @ epred1_0 ) @ ( esk18_1 @ epred1_0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_75]),c_0_53]) ).

thf(c_0_80,negated_conjecture,
    ( ( esk18_1 @ epred1_0 )
    = c0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_77]),c_0_75]),c_0_31])]),c_0_53]) ).

thf(c_0_81,negated_conjecture,
    ! [X6: iS > iS > iS > $o] :
      ( ( ( esk18_1 @ X6 )
        = ( esk17_1 @ X6 ) )
      | ( ( esk17_1 @ X6 )
        = c0 )
      | ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
      | ( ( esk18_1 @ X6 )
       != c0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_78]) ).

thf(c_0_82,negated_conjecture,
    ~ ( epred1_0 @ c0 @ ( esk17_1 @ epred1_0 ) @ c0 ),
    inference(rw,[status(thm)],[c_0_79,c_0_80]) ).

thf(c_0_83,negated_conjecture,
    ( ( esk17_1 @ epred1_0 )
    = c0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_80]),c_0_53]) ).

thf(c_0_84,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83]),c_0_39])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV212^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n015.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Sep 29 15:25:03 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running higher-order theorem proving
% 0.07/0.24  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/tmp/tmp.PjmXhcervh/E---3.1_3656471.p
% 0.80/0.41  % Version: 3.5.1-ho
% 0.80/0.41  % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.80/0.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.80/0.41  % Starting post_as_ho1 with 1500s (5) cores
% 0.80/0.41  % Starting post_as_ho12 with 300s (1) cores
% 0.80/0.41  % Starting new_ho_3 with 300s (1) cores
% 0.80/0.41  % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.80/0.41  % post_as_ho1 with pid 3656484 completed with status 0
% 0.80/0.41  % Result found by post_as_ho1
% 0.80/0.41  % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.80/0.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.80/0.41  % Starting post_as_ho1 with 1500s (5) cores
% 0.80/0.41  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.80/0.41  % No SInE strategy applied
% 0.80/0.41  % Search class: HGUSF-FFMF21-SSSFFMBN
% 0.80/0.41  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.80/0.41  % Starting SubtermCWHack with 136s (1) cores
% 0.80/0.41  % Starting post_as_ho1 with 151s (1) cores
% 0.80/0.41  % Starting lpo8_s with 145s (1) cores
% 0.80/0.41  % Starting sh2lt with 145s (1) cores
% 0.80/0.41  % Starting full_lambda_9 with 145s (1) cores
% 0.80/0.41  % post_as_ho1 with pid 3656491 completed with status 0
% 0.80/0.41  % Result found by post_as_ho1
% 0.80/0.41  % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.80/0.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.80/0.41  % Starting post_as_ho1 with 1500s (5) cores
% 0.80/0.41  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.80/0.41  % No SInE strategy applied
% 0.80/0.41  % Search class: HGUSF-FFMF21-SSSFFMBN
% 0.80/0.41  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.80/0.41  % Starting SubtermCWHack with 136s (1) cores
% 0.80/0.41  % Starting post_as_ho1 with 151s (1) cores
% 0.80/0.41  % Preprocessing time       : 0.002 s
% 0.80/0.41  % Presaturation interreduction done
% 0.80/0.41  
% 0.80/0.41  % Proof found!
% 0.80/0.41  % SZS status Theorem
% 0.80/0.41  % SZS output start CNFRefutation
% See solution above
% 0.80/0.42  % Parsed axioms                        : 4
% 0.80/0.42  % Removed by relevancy pruning/SinE    : 0
% 0.80/0.42  % Initial clauses                      : 56
% 0.80/0.42  % Removed in clause preprocessing      : 4
% 0.80/0.42  % Initial clauses in saturation        : 52
% 0.80/0.42  % Processed clauses                    : 276
% 0.80/0.42  % ...of these trivial                  : 5
% 0.80/0.42  % ...subsumed                          : 51
% 0.80/0.42  % ...remaining for further processing  : 220
% 0.80/0.42  % Other redundant clauses eliminated   : 7
% 0.80/0.42  % Clauses deleted for lack of memory   : 0
% 0.80/0.42  % Backward-subsumed                    : 15
% 0.80/0.42  % Backward-rewritten                   : 12
% 0.80/0.42  % Generated clauses                    : 1577
% 0.80/0.42  % ...of the previous two non-redundant : 1534
% 0.80/0.42  % ...aggressively subsumed             : 0
% 0.80/0.42  % Contextual simplify-reflections      : 1
% 0.80/0.42  % Paramodulations                      : 1566
% 0.80/0.42  % Factorizations                       : 6
% 0.80/0.42  % NegExts                              : 0
% 0.80/0.42  % Equation resolutions                 : 9
% 0.80/0.42  % Disequality decompositions           : 0
% 0.80/0.42  % Total rewrite steps                  : 56
% 0.80/0.42  % ...of those cached                   : 45
% 0.80/0.42  % Propositional unsat checks           : 0
% 0.80/0.42  %    Propositional check models        : 0
% 0.80/0.42  %    Propositional check unsatisfiable : 0
% 0.80/0.42  %    Propositional clauses             : 0
% 0.80/0.42  %    Propositional clauses after purity: 0
% 0.80/0.42  %    Propositional unsat core size     : 0
% 0.80/0.42  %    Propositional preprocessing time  : 0.000
% 0.80/0.42  %    Propositional encoding time       : 0.000
% 0.80/0.42  %    Propositional solver time         : 0.000
% 0.80/0.42  %    Success case prop preproc time    : 0.000
% 0.80/0.42  %    Success case prop encoding time   : 0.000
% 0.80/0.42  %    Success case prop solver time     : 0.000
% 0.80/0.42  % Current number of processed clauses  : 138
% 0.80/0.42  %    Positive orientable unit clauses  : 8
% 0.80/0.42  %    Positive unorientable unit clauses: 0
% 0.80/0.42  %    Negative unit clauses             : 3
% 0.80/0.42  %    Non-unit-clauses                  : 127
% 0.80/0.42  % Current number of unprocessed clauses: 1310
% 0.80/0.42  % ...number of literals in the above   : 10130
% 0.80/0.42  % Current number of archived formulas  : 0
% 0.80/0.42  % Current number of archived clauses   : 79
% 0.80/0.42  % Clause-clause subsumption calls (NU) : 1265
% 0.80/0.42  % Rec. Clause-clause subsumption calls : 116
% 0.80/0.42  % Non-unit clause-clause subsumptions  : 65
% 0.80/0.42  % Unit Clause-clause subsumption calls : 103
% 0.80/0.42  % Rewrite failures with RHS unbound    : 0
% 0.80/0.42  % BW rewrite match attempts            : 9
% 0.80/0.42  % BW rewrite match successes           : 6
% 0.80/0.42  % Condensation attempts                : 0
% 0.80/0.42  % Condensation successes               : 0
% 0.80/0.42  % Termbank termtop insertions          : 36608
% 0.80/0.42  % Search garbage collected termcells   : 1192
% 0.80/0.42  
% 0.80/0.42  % -------------------------------------------------
% 0.80/0.42  % User time                : 0.063 s
% 0.80/0.42  % System time              : 0.007 s
% 0.80/0.42  % Total time               : 0.071 s
% 0.80/0.42  % Maximum resident set size: 3904 pages
% 0.80/0.42  
% 0.80/0.42  % -------------------------------------------------
% 0.80/0.42  % User time                : 0.394 s
% 0.80/0.42  % System time              : 0.029 s
% 0.80/0.42  % Total time               : 0.423 s
% 0.80/0.42  % Maximum resident set size: 4864 pages
% 0.80/0.42  % E exiting
%------------------------------------------------------------------------------