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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWC193+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n023.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 05:18:41 PM UTC 2026

% Result   : Theorem 1.40s 1.75s
% Output   : CNFRefutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   74 (  27 unt;   0 def)
%            Number of atoms       :  252 (  63 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  284 ( 106   ~; 109   |;  26   &)
%                                         (   3 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-2 aty)
%            Number of variables   :   90 (   0 sgn  61   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ segmentP(X4,X3)
                    | ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ssItem(X6)
                           => ! [X7] :
                                ( ssList(X7)
                               => ! [X8] :
                                    ( ssList(X8)
                                   => ( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1
                                      | X5 = X6 ) ) ) ) )
                    | ( ~ singletonP(X3)
                      & neq(X4,nil) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax82,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(ax27,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).

fof(ax73,axiom,
    ! [X1] :
      ( ssItem(X1)
     => equalelemsP(cons(X1,nil)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax73) ).

fof(ax4,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( singletonP(X1)
      <=> ? [X2] :
            ( ssItem(X2)
            & cons(X2,nil) = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(ax14,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( equalelemsP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ( app(X4,cons(X2,cons(X3,X5))) = X1
                         => X2 = X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax14) ).

fof(ax54,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( ( segmentP(X1,X2)
              & segmentP(X2,X1) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax54) ).

fof(ax57,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,nil) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).

fof(ax74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax74) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ segmentP(X4,X3)
                      | ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssItem(X6)
                             => ! [X7] :
                                  ( ssList(X7)
                                 => ! [X8] :
                                      ( ssList(X8)
                                     => ( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1
                                        | X5 = X6 ) ) ) ) )
                      | ( ~ singletonP(X3)
                        & neq(X4,nil) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_14,negated_conjecture,
    ( ssList(esk48_0)
    & ssList(esk49_0)
    & ssList(esk50_0)
    & ssList(esk51_0)
    & esk49_0 = esk51_0
    & esk48_0 = esk50_0
    & segmentP(esk51_0,esk50_0)
    & ssItem(esk52_0)
    & ssItem(esk53_0)
    & ssList(esk54_0)
    & ssList(esk55_0)
    & app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0
    & esk52_0 != esk53_0
    & ( singletonP(esk50_0)
      | ~ neq(esk51_0,nil) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

cnf(c_0_15,negated_conjecture,
    app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_17,plain,
    ! [X435,X436,X437] :
      ( ~ ssList(X435)
      | ~ ssList(X436)
      | ~ ssList(X437)
      | app(app(X435,X436),X437) = app(X435,app(X436,X437)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

cnf(c_0_18,negated_conjecture,
    app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    ssList(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_21,plain,
    ! [X324,X325] :
      ( ~ ssList(X324)
      | ~ ssItem(X325)
      | ssList(cons(X325,X324)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

cnf(c_0_22,negated_conjecture,
    ( app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk50_0
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_23,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_25,negated_conjecture,
    ssItem(esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,negated_conjecture,
    ( app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_27,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_28,plain,
    ! [X433,X434] :
      ( ~ ssList(X433)
      | ~ ssItem(X434)
      | cons(X434,X433) = app(cons(X434,nil),X433) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

cnf(c_0_29,negated_conjecture,
    app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_23]),c_0_24]),c_0_27])]) ).

cnf(c_0_30,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0) = esk50_0
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_27])]) ).

cnf(c_0_32,negated_conjecture,
    app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_33,negated_conjecture,
    ssList(esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_34,negated_conjecture,
    ( app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0)) = esk50_0
    | ~ ssList(cons(esk52_0,cons(esk53_0,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_32]),c_0_33]),c_0_20])]) ).

cnf(c_0_35,negated_conjecture,
    ( app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0)) = esk50_0
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_27])]) ).

fof(c_0_36,plain,
    ! [X345,X346,X347] :
      ( ~ ssList(X345)
      | ~ ssList(X346)
      | ~ ssItem(X347)
      | cons(X347,app(X346,X345)) = app(cons(X347,X346),X345) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).

cnf(c_0_37,negated_conjecture,
    app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_38,plain,
    ( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_39,plain,
    ! [X419] :
      ( ~ ssItem(X419)
      | equalelemsP(cons(X419,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).

fof(c_0_40,plain,
    ! [X230,X232] :
      ( ( ssItem(esk5_1(X230))
        | ~ singletonP(X230)
        | ~ ssList(X230) )
      & ( cons(esk5_1(X230),nil) = X230
        | ~ singletonP(X230)
        | ~ ssList(X230) )
      & ( ~ ssItem(X232)
        | cons(X232,nil) != X230
        | singletonP(X230)
        | ~ ssList(X230) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])]) ).

fof(c_0_41,plain,
    ! [X322,X323] :
      ( ( ~ neq(X322,X323)
        | X322 != X323
        | ~ ssList(X323)
        | ~ ssList(X322) )
      & ( X322 = X323
        | neq(X322,X323)
        | ~ ssList(X323)
        | ~ ssList(X322) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

cnf(c_0_42,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_43,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_44,plain,
    ! [X313,X314,X315,X316,X317] :
      ( ( ~ equalelemsP(X313)
        | ~ ssItem(X314)
        | ~ ssItem(X315)
        | ~ ssList(X316)
        | ~ ssList(X317)
        | app(X316,cons(X314,cons(X315,X317))) != X313
        | X314 = X315
        | ~ ssList(X313) )
      & ( ssItem(esk40_1(X313))
        | equalelemsP(X313)
        | ~ ssList(X313) )
      & ( ssItem(esk41_1(X313))
        | equalelemsP(X313)
        | ~ ssList(X313) )
      & ( ssList(esk42_1(X313))
        | equalelemsP(X313)
        | ~ ssList(X313) )
      & ( ssList(esk43_1(X313))
        | equalelemsP(X313)
        | ~ ssList(X313) )
      & ( app(esk42_1(X313),cons(esk40_1(X313),cons(esk41_1(X313),esk43_1(X313)))) = X313
        | equalelemsP(X313)
        | ~ ssList(X313) )
      & ( esk40_1(X313) != esk41_1(X313)
        | equalelemsP(X313)
        | ~ ssList(X313) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])])])])]) ).

cnf(c_0_45,negated_conjecture,
    ( app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0))) = esk50_0
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_33]),c_0_27])]) ).

cnf(c_0_46,plain,
    ( equalelemsP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_47,plain,
    ( cons(esk5_1(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,plain,
    ( ssItem(esk5_1(X1))
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_49,negated_conjecture,
    ( singletonP(esk50_0)
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_50,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_51,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_52,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_53,plain,
    ( X2 = X3
    | ~ equalelemsP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | app(X4,cons(X2,cons(X3,X5))) != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_54,negated_conjecture,
    app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0))) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_23]),c_0_24]),c_0_25])]) ).

fof(c_0_55,plain,
    ! [X400,X401] :
      ( ~ ssList(X400)
      | ~ ssList(X401)
      | ~ segmentP(X400,X401)
      | ~ segmentP(X401,X400)
      | X400 = X401 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).

cnf(c_0_56,plain,
    ( equalelemsP(X1)
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_57,negated_conjecture,
    ( esk51_0 = nil
    | singletonP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_24]),c_0_51])]) ).

cnf(c_0_58,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_52,c_0_16]) ).

cnf(c_0_59,plain,
    ( X1 = X2
    | ~ equalelemsP(app(X3,cons(X1,cons(X2,X4))))
    | ~ ssList(app(X3,cons(X1,cons(X2,X4))))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_53]) ).

cnf(c_0_60,negated_conjecture,
    app(esk54_0,cons(esk52_0,cons(esk53_0,esk55_0))) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_30]),c_0_33]),c_0_25])]) ).

cnf(c_0_61,negated_conjecture,
    esk52_0 != esk53_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_62,plain,
    ( X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ segmentP(X1,X2)
    | ~ segmentP(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_63,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_64,negated_conjecture,
    ( esk51_0 = nil
    | equalelemsP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).

cnf(c_0_65,negated_conjecture,
    ~ equalelemsP(esk50_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_58]),c_0_33]),c_0_20]),c_0_25]),c_0_27])]),c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    ( esk50_0 = esk51_0
    | ~ segmentP(esk50_0,esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_51]),c_0_58])]) ).

cnf(c_0_67,negated_conjecture,
    esk51_0 = nil,
    inference(sr,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_68,plain,
    ! [X407] :
      ( ~ ssList(X407)
      | segmentP(X407,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).

cnf(c_0_69,negated_conjecture,
    ( esk50_0 = nil
    | ~ segmentP(esk50_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_67]) ).

cnf(c_0_70,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    esk50_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_58])]) ).

cnf(c_0_72,plain,
    equalelemsP(nil),
    inference(split_conjunct,[status(thm)],[ax74]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_71]),c_0_72])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC193+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32  % Computer : n023.cluster.edu
% 0.16/0.32  % Model    : x86_64 x86_64
% 0.16/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32  % Memory   : 8042.1875MB
% 0.16/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32  % CPULimit   : 300
% 0.16/0.32  % WCLimit    : 300
% 0.16/0.32  % DateTime   : Tue May  5 04:33:53 EDT 2026
% 0.16/0.32  % CPUTime    : 
% 0.16/0.33  % start to proof: theBenchmark
% 1.40/1.75  % Version  : CSE_E---1.7
% 1.40/1.75  % Problem  : theBenchmark.p
% 1.40/1.75  % SZS status Theorem for theBenchmark.p
% 1.40/1.75  % SZS output start CNFRefutation
% See solution above
% 1.40/1.75  % Total time : 1.372s
%------------------------------------------------------------------------------