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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SET790+4 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n029.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  5 05:08:30 PM UTC 2026

% Result   : Theorem 1.30s 1.72s
% Output   : CNFRefutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   8 unt;   0 def)
%            Number of atoms       :  351 (  21 equ)
%            Maximal formula atoms :  256 (  13 avg)
%            Number of connectives :  420 (  95   ~; 220   |;  86   &)
%                                         (   4 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   77 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   67 (   1 sgn  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thIV2,conjecture,
    ! [X1,X2,X6] :
      ( ( order(X1,X2)
        & least(X6,X1,X2) )
     => ! [X3] :
          ( least(X3,X1,X2)
         => X6 = X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV2) ).

fof(least,axiom,
    ! [X1,X2,X6] :
      ( least(X6,X1,X2)
    <=> ( member(X6,X2)
        & ! [X3] :
            ( member(X3,X2)
           => apply(X1,X6,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',least) ).

fof(order,axiom,
    ! [X1,X2] :
      ( order(X1,X2)
    <=> ( ! [X3] :
            ( member(X3,X2)
           => apply(X1,X3,X3) )
        & ! [X3,X4] :
            ( ( member(X3,X2)
              & member(X4,X2) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X4,X3) )
             => X3 = X4 ) )
        & ! [X3,X4,X5] :
            ( ( member(X3,X2)
              & member(X4,X2)
              & member(X5,X2) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X4,X5) )
             => apply(X1,X3,X5) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',order) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2,X6] :
        ( ( order(X1,X2)
          & least(X6,X1,X2) )
       => ! [X3] :
            ( least(X3,X1,X2)
           => X6 = X3 ) ),
    inference(assume_negation,[status(cth)],[thIV2]) ).

fof(c_0_4,plain,
    ! [X2,X1] :
      ( epred1_2(X1,X2)
    <=> ( ! [X3] :
            ( member(X3,X2)
           => apply(X1,X3,X3) )
        & ! [X3,X4] :
            ( ( member(X3,X2)
              & member(X4,X2) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X4,X3) )
             => X3 = X4 ) )
        & ! [X3,X4,X5] :
            ( ( member(X3,X2)
              & member(X4,X2)
              & member(X5,X2) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X4,X5) )
             => apply(X1,X3,X5) ) ) ) ),
    introduced(definition) ).

fof(c_0_5,plain,
    ! [X92,X93,X94,X95,X96,X97,X98] :
      ( ( member(X94,X93)
        | ~ least(X94,X92,X93) )
      & ( ~ member(X95,X93)
        | apply(X92,X94,X95)
        | ~ least(X94,X92,X93) )
      & ( member(esk6_3(X96,X97,X98),X97)
        | ~ member(X98,X97)
        | least(X98,X96,X97) )
      & ( ~ apply(X96,X98,esk6_3(X96,X97,X98))
        | ~ member(X98,X97)
        | least(X98,X96,X97) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[least])])])])])]) ).

fof(c_0_6,negated_conjecture,
    ( order(esk11_0,esk12_0)
    & least(esk13_0,esk11_0,esk12_0)
    & least(esk14_0,esk11_0,esk12_0)
    & esk13_0 != esk14_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_7,plain,
    ! [X140,X141,X142,X143,X144,X145,X146,X147,X148,X149] :
      ( ( ~ member(X142,X140)
        | apply(X141,X142,X142)
        | ~ epred1_2(X141,X140) )
      & ( ~ member(X143,X140)
        | ~ member(X144,X140)
        | ~ apply(X141,X143,X144)
        | ~ apply(X141,X144,X143)
        | X143 = X144
        | ~ epred1_2(X141,X140) )
      & ( ~ member(X145,X140)
        | ~ member(X146,X140)
        | ~ member(X147,X140)
        | ~ apply(X141,X145,X146)
        | ~ apply(X141,X146,X147)
        | apply(X141,X145,X147)
        | ~ epred1_2(X141,X140) )
      & ( member(esk18_2(X148,X149),X148)
        | member(esk16_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk19_2(X148,X149),X148)
        | member(esk16_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk20_2(X148,X149),X148)
        | member(esk16_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( apply(X149,esk18_2(X148,X149),esk19_2(X148,X149))
        | member(esk16_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( apply(X149,esk19_2(X148,X149),esk20_2(X148,X149))
        | member(esk16_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( ~ apply(X149,esk18_2(X148,X149),esk20_2(X148,X149))
        | member(esk16_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk18_2(X148,X149),X148)
        | member(esk17_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk19_2(X148,X149),X148)
        | member(esk17_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk20_2(X148,X149),X148)
        | member(esk17_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( apply(X149,esk18_2(X148,X149),esk19_2(X148,X149))
        | member(esk17_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( apply(X149,esk19_2(X148,X149),esk20_2(X148,X149))
        | member(esk17_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( ~ apply(X149,esk18_2(X148,X149),esk20_2(X148,X149))
        | member(esk17_2(X148,X149),X148)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk18_2(X148,X149),X148)
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk19_2(X148,X149),X148)
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk20_2(X148,X149),X148)
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( apply(X149,esk18_2(X148,X149),esk19_2(X148,X149))
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( apply(X149,esk19_2(X148,X149),esk20_2(X148,X149))
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( ~ apply(X149,esk18_2(X148,X149),esk20_2(X148,X149))
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk18_2(X148,X149),X148)
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk19_2(X148,X149),X148)
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk20_2(X148,X149),X148)
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( apply(X149,esk18_2(X148,X149),esk19_2(X148,X149))
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( apply(X149,esk19_2(X148,X149),esk20_2(X148,X149))
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( ~ apply(X149,esk18_2(X148,X149),esk20_2(X148,X149))
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk18_2(X148,X149),X148)
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk19_2(X148,X149),X148)
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk20_2(X148,X149),X148)
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( apply(X149,esk18_2(X148,X149),esk19_2(X148,X149))
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( apply(X149,esk19_2(X148,X149),esk20_2(X148,X149))
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( ~ apply(X149,esk18_2(X148,X149),esk20_2(X148,X149))
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | member(esk15_2(X148,X149),X148)
        | epred1_2(X149,X148) )
      & ( member(esk18_2(X148,X149),X148)
        | member(esk16_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk19_2(X148,X149),X148)
        | member(esk16_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk20_2(X148,X149),X148)
        | member(esk16_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( apply(X149,esk18_2(X148,X149),esk19_2(X148,X149))
        | member(esk16_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( apply(X149,esk19_2(X148,X149),esk20_2(X148,X149))
        | member(esk16_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( ~ apply(X149,esk18_2(X148,X149),esk20_2(X148,X149))
        | member(esk16_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk18_2(X148,X149),X148)
        | member(esk17_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk19_2(X148,X149),X148)
        | member(esk17_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk20_2(X148,X149),X148)
        | member(esk17_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( apply(X149,esk18_2(X148,X149),esk19_2(X148,X149))
        | member(esk17_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( apply(X149,esk19_2(X148,X149),esk20_2(X148,X149))
        | member(esk17_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( ~ apply(X149,esk18_2(X148,X149),esk20_2(X148,X149))
        | member(esk17_2(X148,X149),X148)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk18_2(X148,X149),X148)
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk19_2(X148,X149),X148)
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk20_2(X148,X149),X148)
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( apply(X149,esk18_2(X148,X149),esk19_2(X148,X149))
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( apply(X149,esk19_2(X148,X149),esk20_2(X148,X149))
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( ~ apply(X149,esk18_2(X148,X149),esk20_2(X148,X149))
        | apply(X149,esk16_2(X148,X149),esk17_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk18_2(X148,X149),X148)
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk19_2(X148,X149),X148)
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk20_2(X148,X149),X148)
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( apply(X149,esk18_2(X148,X149),esk19_2(X148,X149))
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( apply(X149,esk19_2(X148,X149),esk20_2(X148,X149))
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( ~ apply(X149,esk18_2(X148,X149),esk20_2(X148,X149))
        | apply(X149,esk17_2(X148,X149),esk16_2(X148,X149))
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk18_2(X148,X149),X148)
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk19_2(X148,X149),X148)
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( member(esk20_2(X148,X149),X148)
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( apply(X149,esk18_2(X148,X149),esk19_2(X148,X149))
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( apply(X149,esk19_2(X148,X149),esk20_2(X148,X149))
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) )
      & ( ~ apply(X149,esk18_2(X148,X149),esk20_2(X148,X149))
        | esk16_2(X148,X149) != esk17_2(X148,X149)
        | ~ apply(X149,esk15_2(X148,X149),esk15_2(X148,X149))
        | epred1_2(X149,X148) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).

cnf(c_0_8,plain,
    ( apply(X3,X4,X1)
    | ~ member(X1,X2)
    | ~ least(X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    least(esk14_0,esk11_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,axiom,
    ! [X1,X2] :
      ( order(X1,X2)
    <=> epred1_2(X1,X2) ),
    inference(apply_def,[status(thm)],[order,c_0_4]) ).

cnf(c_0_11,plain,
    ( X1 = X3
    | ~ member(X1,X2)
    | ~ member(X3,X2)
    | ~ apply(X4,X1,X3)
    | ~ apply(X4,X3,X1)
    | ~ epred1_2(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( apply(esk11_0,esk14_0,X1)
    | ~ member(X1,esk12_0) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    least(esk13_0,esk11_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,plain,
    ( member(X1,X2)
    | ~ least(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_15,plain,
    ! [X58,X59] :
      ( ( ~ order(X58,X59)
        | epred1_2(X58,X59) )
      & ( ~ epred1_2(X58,X59)
        | order(X58,X59) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).

cnf(c_0_16,negated_conjecture,
    ( X1 = esk14_0
    | ~ epred1_2(esk11_0,X2)
    | ~ apply(esk11_0,X1,esk14_0)
    | ~ member(esk14_0,X2)
    | ~ member(X1,esk12_0)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ( apply(esk11_0,esk13_0,X1)
    | ~ member(X1,esk12_0) ),
    inference(spm,[status(thm)],[c_0_8,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    member(esk13_0,esk12_0),
    inference(spm,[status(thm)],[c_0_14,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    member(esk14_0,esk12_0),
    inference(spm,[status(thm)],[c_0_14,c_0_9]) ).

cnf(c_0_20,negated_conjecture,
    esk13_0 != esk14_0,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,plain,
    ( epred1_2(X1,X2)
    | ~ order(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    order(esk11_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ epred1_2(esk11_0,X1)
    | ~ member(esk14_0,X1)
    | ~ member(esk13_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    epred1_2(esk11_0,esk12_0),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET790+4 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n029.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Tue May  5 02:35:29 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.30/1.72  % Version  : CSE_E---1.7
% 1.30/1.72  % Problem  : theBenchmark.p
% 1.30/1.72  % SZS status Theorem for theBenchmark.p
% 1.30/1.72  % SZS output start CNFRefutation
% See solution above
% 1.30/1.72  % Total time : 1.372s
%------------------------------------------------------------------------------