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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWC114+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 : n006.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 05:18:20 PM UTC 2026

% Result   : Theorem 27.33s 16.00s
% Output   : CNFRefutation 27.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   71 (  19 unt;   0 def)
%            Number of atoms       :  278 (  73 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  341 ( 134   ~; 135   |;  39   &)
%                                         (   3 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   96 (   0 sgn  53   !;   6   ?)

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

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).

fof(ax7,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

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

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).

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(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

fof(ax3,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( memberP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

fof(ax53,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( ( segmentP(X1,X2)
                  & segmentP(X2,X3) )
               => segmentP(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax53) ).

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

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(c_0_12,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ( nil = X2
                        & nil = X1 )
                      | ( ! [X5] :
                            ( ssItem(X5)
                           => ( cons(X5,nil) != X3
                              | ~ memberP(X4,X5)
                              | ? [X6] :
                                  ( ssItem(X6)
                                  & X5 != X6
                                  & memberP(X4,X6)
                                  & leq(X5,X6) ) ) )
                        & ( nil != X4
                          | nil != X3 ) )
                      | ( neq(X1,nil)
                        & segmentP(X2,X1) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_13,negated_conjecture,
    ! [X465] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & ( nil != esk49_0
        | nil != esk48_0 )
      & ( nil = esk51_0
        | ssItem(esk52_0) )
      & ( nil = esk50_0
        | ssItem(esk52_0) )
      & ( nil = esk51_0
        | cons(esk52_0,nil) = esk50_0 )
      & ( nil = esk50_0
        | cons(esk52_0,nil) = esk50_0 )
      & ( nil = esk51_0
        | memberP(esk51_0,esk52_0) )
      & ( nil = esk50_0
        | memberP(esk51_0,esk52_0) )
      & ( nil = esk51_0
        | ~ ssItem(X465)
        | esk52_0 = X465
        | ~ memberP(esk51_0,X465)
        | ~ leq(esk52_0,X465) )
      & ( nil = esk50_0
        | ~ ssItem(X465)
        | esk52_0 = X465
        | ~ memberP(esk51_0,X465)
        | ~ leq(esk52_0,X465) )
      & ( ~ neq(esk48_0,nil)
        | ~ segmentP(esk49_0,esk48_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).

fof(c_0_14,plain,
    ! [X322,X323] :
      ( ~ ssList(X322)
      | ~ ssItem(X323)
      | cons(X323,X322) != X322 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).

cnf(c_0_15,negated_conjecture,
    ( nil != esk49_0
    | nil != esk48_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_18,plain,
    ! [X237,X238,X241,X242] :
      ( ( ssList(esk8_2(X237,X238))
        | ~ segmentP(X237,X238)
        | ~ ssList(X238)
        | ~ ssList(X237) )
      & ( ssList(esk9_2(X237,X238))
        | ~ segmentP(X237,X238)
        | ~ ssList(X238)
        | ~ ssList(X237) )
      & ( app(app(esk8_2(X237,X238),X238),esk9_2(X237,X238)) = X237
        | ~ segmentP(X237,X238)
        | ~ ssList(X238)
        | ~ ssList(X237) )
      & ( ~ ssList(X241)
        | ~ ssList(X242)
        | app(app(X241,X238),X242) != X237
        | segmentP(X237,X238)
        | ~ ssList(X238)
        | ~ ssList(X237) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).

cnf(c_0_19,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | cons(X2,X1) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    ( nil = esk51_0
    | cons(esk52_0,nil) = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_22,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ( esk50_0 != nil
    | esk51_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_24,plain,
    ( segmentP(X4,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X1,X3),X2) != X4
    | ~ ssList(X3)
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_25,plain,
    ! [X344] :
      ( ~ ssList(X344)
      | app(nil,X344) = X344 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_26,plain,
    ! [X339,X340] :
      ( ~ ssList(X339)
      | ~ ssList(X340)
      | ssList(app(X339,X340)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(c_0_27,plain,
    ! [X429,X430] :
      ( ~ ssList(X429)
      | ~ ssItem(X430)
      | cons(X430,X429) = app(cons(X430,nil),X429) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

cnf(c_0_28,negated_conjecture,
    ( nil = esk50_0
    | cons(esk52_0,nil) = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_29,negated_conjecture,
    esk50_0 != nil,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ( nil = esk50_0
    | ssItem(esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_31,plain,
    ! [X436] :
      ( ~ ssList(X436)
      | app(X436,nil) = X436 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

fof(c_0_32,plain,
    ! [X220,X221,X224,X225] :
      ( ( ssList(esk3_2(X220,X221))
        | ~ memberP(X220,X221)
        | ~ ssItem(X221)
        | ~ ssList(X220) )
      & ( ssList(esk4_2(X220,X221))
        | ~ memberP(X220,X221)
        | ~ ssItem(X221)
        | ~ ssList(X220) )
      & ( app(esk3_2(X220,X221),cons(X221,esk4_2(X220,X221))) = X220
        | ~ memberP(X220,X221)
        | ~ ssItem(X221)
        | ~ ssList(X220) )
      & ( ~ ssList(X224)
        | ~ ssList(X225)
        | app(X224,cons(X221,X225)) != X220
        | memberP(X220,X221)
        | ~ ssItem(X221)
        | ~ ssList(X220) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])]) ).

cnf(c_0_33,negated_conjecture,
    ( nil = esk50_0
    | memberP(esk51_0,esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_34,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_35,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_24]) ).

cnf(c_0_36,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_37,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_39,negated_conjecture,
    cons(esk52_0,nil) = esk50_0,
    inference(sr,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_40,negated_conjecture,
    ssItem(esk52_0),
    inference(sr,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_41,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_42,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_43,plain,
    ( app(esk3_2(X1,X2),cons(X2,esk4_2(X1,X2))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_44,negated_conjecture,
    memberP(esk51_0,esk52_0),
    inference(sr,[status(thm)],[c_0_33,c_0_29]) ).

cnf(c_0_45,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_34,c_0_17]) ).

cnf(c_0_46,plain,
    ( ssList(esk3_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_47,plain,
    ! [X393,X394,X395] :
      ( ~ ssList(X393)
      | ~ ssList(X394)
      | ~ ssList(X395)
      | ~ segmentP(X393,X394)
      | ~ segmentP(X394,X395)
      | segmentP(X393,X395) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).

cnf(c_0_48,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_21])]),c_0_37]) ).

cnf(c_0_49,negated_conjecture,
    ( app(esk50_0,X1) = cons(esk52_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_50,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_41,c_0_16]) ).

cnf(c_0_51,plain,
    ( segmentP(app(X1,X2),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_42]),c_0_21])]),c_0_37]) ).

cnf(c_0_52,negated_conjecture,
    app(esk3_2(esk51_0,esk52_0),cons(esk52_0,esk4_2(esk51_0,esk52_0))) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_40])]) ).

cnf(c_0_53,negated_conjecture,
    ssList(esk3_2(esk51_0,esk52_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_45]),c_0_40])]) ).

fof(c_0_54,plain,
    ! [X320,X321] :
      ( ~ ssList(X320)
      | ~ ssItem(X321)
      | ssList(cons(X321,X320)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

cnf(c_0_55,plain,
    ( ssList(esk4_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_56,plain,
    ( segmentP(X1,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ segmentP(X1,X2)
    | ~ segmentP(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_57,negated_conjecture,
    ( segmentP(cons(esk52_0,X1),esk50_0)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).

cnf(c_0_58,negated_conjecture,
    ( ssList(cons(esk52_0,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_49]),c_0_50])]) ).

cnf(c_0_59,negated_conjecture,
    ( segmentP(esk51_0,cons(esk52_0,esk4_2(esk51_0,esk52_0)))
    | ~ ssList(cons(esk52_0,esk4_2(esk51_0,esk52_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).

cnf(c_0_60,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_61,negated_conjecture,
    ssList(esk4_2(esk51_0,esk52_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_44]),c_0_45]),c_0_40])]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ neq(esk48_0,nil)
    | ~ segmentP(esk49_0,esk48_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_63,negated_conjecture,
    ( segmentP(X1,esk50_0)
    | ~ segmentP(X1,cons(esk52_0,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_50])]),c_0_58]) ).

cnf(c_0_64,negated_conjecture,
    segmentP(esk51_0,cons(esk52_0,esk4_2(esk51_0,esk52_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_40])]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ segmentP(esk51_0,esk50_0)
    | ~ neq(esk50_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_16]),c_0_17]),c_0_16]) ).

cnf(c_0_66,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_45]),c_0_61])]) ).

fof(c_0_67,plain,
    ! [X318,X319] :
      ( ( ~ neq(X318,X319)
        | X318 != X319
        | ~ ssList(X319)
        | ~ ssList(X318) )
      & ( X318 = X319
        | neq(X318,X319)
        | ~ ssList(X319)
        | ~ ssList(X318) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

cnf(c_0_68,negated_conjecture,
    ~ neq(esk50_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66])]) ).

cnf(c_0_69,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_21]),c_0_50])]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWC114+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.09  % 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
% 0.10/0.29  % Computer : n006.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Tue May  5 04:27:16 EDT 2026
% 0.10/0.29  % CPUTime    : 
% 0.10/0.30  % start to proof: theBenchmark
% 27.33/16.00  % Version  : CSE_E---1.7
% 27.33/16.00  % Problem  : theBenchmark.p
% 27.33/16.00  % SZS status Theorem for theBenchmark.p
% 27.33/16.00  % SZS output start CNFRefutation
% See solution above
% 27.46/16.09  % Total time : 12.390s
%------------------------------------------------------------------------------