↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWC249+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 : n005.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 05:18:53 PM UTC 2026

% Result   : Theorem 3.96s 3.15s
% Output   : CNFRefutation 3.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   63 (   8 unt;   0 def)
%            Number of atoms       :  309 (  70 equ)
%            Maximal formula atoms :   39 (   4 avg)
%            Number of connectives :  415 ( 169   ~; 168   |;  43   &)
%                                         (   4 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :  117 (   0 sgn  56   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(ax5,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).

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

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

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

fof(ax38,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).

fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ frontsegP(X4,X3)
                    | ~ strictorderedP(X3)
                    | nil = X1
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X3,X5)
                        & frontsegP(X4,X5)
                        & segmentP(X5,X3)
                        & strictorderedP(X5) )
                    | ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( ssList(X7)
                            & ? [X8] :
                                ( ssList(X8)
                                & app(app(X7,cons(X6,nil)),X8) = X1
                                & ! [X9] :
                                    ( ssItem(X9)
                                   => ( ~ memberP(X7,X9)
                                      | ~ memberP(X8,X9)
                                      | ~ lt(X6,X9)
                                      | leq(X6,X9) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax36,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(app(X2,X3),X1)
              <=> ( memberP(X2,X1)
                  | memberP(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).

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

fof(ax46,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( frontsegP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).

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(ax20,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil = X1
        | ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ssItem(X3)
                & cons(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).

fof(c_0_13,plain,
    ! [X440,X441] :
      ( ( nil = X441
        | nil != app(X440,X441)
        | ~ ssList(X441)
        | ~ ssList(X440) )
      & ( nil = X440
        | nil != app(X440,X441)
        | ~ ssList(X441)
        | ~ ssList(X440) )
      & ( nil != X441
        | nil != X440
        | nil = app(X440,X441)
        | ~ ssList(X441)
        | ~ ssList(X440) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).

fof(c_0_14,plain,
    ! [X235,X236,X238] :
      ( ( ssList(esk6_2(X235,X236))
        | ~ frontsegP(X235,X236)
        | ~ ssList(X236)
        | ~ ssList(X235) )
      & ( app(X236,esk6_2(X235,X236)) = X235
        | ~ frontsegP(X235,X236)
        | ~ ssList(X236)
        | ~ ssList(X235) )
      & ( ~ ssList(X238)
        | app(X236,X238) != X235
        | frontsegP(X235,X236)
        | ~ ssList(X236)
        | ~ ssList(X235) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).

cnf(c_0_15,plain,
    ( nil = X1
    | nil != app(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    ( app(X1,esk6_2(X2,X1)) = X2
    | ~ frontsegP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

fof(c_0_18,plain,
    ! [X326,X327] :
      ( ~ ssList(X326)
      | ~ ssItem(X327)
      | ssList(cons(X327,X326)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

fof(c_0_19,plain,
    ! [X347,X348,X349] :
      ( ~ ssList(X347)
      | ~ ssList(X348)
      | ~ ssItem(X349)
      | cons(X349,app(X348,X347)) = app(cons(X349,X348),X347) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).

fof(c_0_20,plain,
    ! [X345,X346] :
      ( ~ ssList(X345)
      | ~ ssList(X346)
      | ssList(app(X345,X346)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

cnf(c_0_21,plain,
    ( nil = app(X2,X1)
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,plain,
    ( esk6_2(nil,X1) = nil
    | ~ frontsegP(nil,X1)
    | ~ ssList(esk6_2(nil,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])]),c_0_17])]) ).

cnf(c_0_23,plain,
    ( ssList(esk6_2(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_24,plain,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    inference(fof_simplification,[status(thm)],[ax38]) ).

fof(c_0_25,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ frontsegP(X4,X3)
                      | ~ strictorderedP(X3)
                      | nil = X1
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X3,X5)
                          & frontsegP(X4,X5)
                          & segmentP(X5,X3)
                          & strictorderedP(X5) )
                      | ? [X6] :
                          ( ssItem(X6)
                          & ? [X7] :
                              ( ssList(X7)
                              & ? [X8] :
                                  ( ssList(X8)
                                  & app(app(X7,cons(X6,nil)),X8) = X1
                                  & ! [X9] :
                                      ( ssItem(X9)
                                     => ( ~ memberP(X7,X9)
                                        | ~ memberP(X8,X9)
                                        | ~ lt(X6,X9)
                                        | leq(X6,X9) ) ) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

cnf(c_0_26,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,plain,
    ( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_21])]),c_0_17])]) ).

fof(c_0_30,plain,
    ! [X366,X367,X368] :
      ( ( ~ memberP(app(X367,X368),X366)
        | memberP(X367,X366)
        | memberP(X368,X366)
        | ~ ssList(X368)
        | ~ ssList(X367)
        | ~ ssItem(X366) )
      & ( ~ memberP(X367,X366)
        | memberP(app(X367,X368),X366)
        | ~ ssList(X368)
        | ~ ssList(X367)
        | ~ ssItem(X366) )
      & ( ~ memberP(X368,X366)
        | memberP(app(X367,X368),X366)
        | ~ ssList(X368)
        | ~ ssList(X367)
        | ~ ssItem(X366) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).

cnf(c_0_31,plain,
    ( esk6_2(nil,X1) = nil
    | ~ frontsegP(nil,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17])]) ).

fof(c_0_32,plain,
    ! [X372] :
      ( ~ ssItem(X372)
      | ~ memberP(nil,X372) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).

fof(c_0_33,negated_conjecture,
    ! [X470,X471,X472,X473] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & frontsegP(esk51_0,esk50_0)
      & strictorderedP(esk50_0)
      & nil != esk48_0
      & ( ~ ssList(X470)
        | ~ neq(esk50_0,X470)
        | ~ frontsegP(esk51_0,X470)
        | ~ segmentP(X470,esk50_0)
        | ~ strictorderedP(X470) )
      & ( ssItem(esk52_3(X471,X472,X473))
        | ~ ssList(X473)
        | app(app(X472,cons(X471,nil)),X473) != esk48_0
        | ~ ssList(X472)
        | ~ ssItem(X471) )
      & ( memberP(X472,esk52_3(X471,X472,X473))
        | ~ ssList(X473)
        | app(app(X472,cons(X471,nil)),X473) != esk48_0
        | ~ ssList(X472)
        | ~ ssItem(X471) )
      & ( memberP(X473,esk52_3(X471,X472,X473))
        | ~ ssList(X473)
        | app(app(X472,cons(X471,nil)),X473) != esk48_0
        | ~ ssList(X472)
        | ~ ssItem(X471) )
      & ( lt(X471,esk52_3(X471,X472,X473))
        | ~ ssList(X473)
        | app(app(X472,cons(X471,nil)),X473) != esk48_0
        | ~ ssList(X472)
        | ~ ssItem(X471) )
      & ( ~ leq(X471,esk52_3(X471,X472,X473))
        | ~ ssList(X473)
        | app(app(X472,cons(X471,nil)),X473) != esk48_0
        | ~ ssList(X472)
        | ~ ssItem(X471) ) ),
    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_25])])])])]) ).

fof(c_0_34,plain,
    ! [X350] :
      ( ~ ssList(X350)
      | app(nil,X350) = X350 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

cnf(c_0_35,plain,
    ( ssList(app(cons(X1,X2),X3))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_36,plain,
    ( app(cons(X1,nil),nil) = cons(X1,nil)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_29]),c_0_17])]) ).

fof(c_0_37,plain,
    ! [X387] :
      ( ( ~ frontsegP(nil,X387)
        | nil = X387
        | ~ ssList(X387) )
      & ( nil != X387
        | frontsegP(nil,X387)
        | ~ ssList(X387) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).

cnf(c_0_38,plain,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_39,plain,
    ( app(X1,nil) = nil
    | ~ frontsegP(nil,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_31]),c_0_17])]) ).

cnf(c_0_40,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    ( memberP(X1,esk52_3(X2,X1,X3))
    | ~ ssList(X3)
    | app(app(X1,cons(X2,nil)),X3) != esk48_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_42,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,plain,
    ( ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_17])]) ).

cnf(c_0_44,plain,
    ( frontsegP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_45,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != esk48_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_46,plain,
    ( ~ frontsegP(nil,X1)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_17])]),c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    ( memberP(nil,esk52_3(X1,nil,X2))
    | app(cons(X1,nil),X2) != esk48_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_17])]),c_0_43]) ).

cnf(c_0_48,plain,
    frontsegP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_44]),c_0_17])]) ).

cnf(c_0_49,negated_conjecture,
    ( ssItem(esk52_3(X1,nil,X2))
    | app(cons(X1,nil),X2) != esk48_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_42]),c_0_17])]),c_0_43]) ).

fof(c_0_50,plain,
    ! [X435,X436] :
      ( ~ ssList(X435)
      | ~ ssItem(X436)
      | cons(X436,X435) = app(cons(X436,nil),X435) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

cnf(c_0_51,negated_conjecture,
    ( app(cons(X1,nil),X2) != esk48_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_17])]),c_0_49]) ).

cnf(c_0_52,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_53,plain,
    ! [X334] :
      ( ( ssList(esk44_1(X334))
        | nil = X334
        | ~ ssList(X334) )
      & ( ssItem(esk45_1(X334))
        | nil = X334
        | ~ ssList(X334) )
      & ( cons(esk45_1(X334),esk44_1(X334)) = X334
        | nil = X334
        | ~ ssList(X334) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).

cnf(c_0_54,negated_conjecture,
    ( cons(X1,X2) != esk48_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,plain,
    ( cons(esk45_1(X1),esk44_1(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_57,negated_conjecture,
    nil != esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ ssList(esk44_1(esk48_0))
    | ~ ssItem(esk45_1(esk48_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55])]),c_0_56])]),c_0_57]) ).

cnf(c_0_59,plain,
    ( ssList(esk44_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_60,negated_conjecture,
    ~ ssItem(esk45_1(esk48_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_56])]),c_0_57]) ).

cnf(c_0_61,plain,
    ( ssItem(esk45_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_62,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_56])]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC249+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12  % 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
% 0.15/0.32  % Computer : n005.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
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 04:38:00 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 3.96/3.15  % Version  : CSE_E---1.7
% 3.96/3.15  % Problem  : theBenchmark.p
% 3.96/3.15  % SZS status Theorem for theBenchmark.p
% 3.96/3.15  % SZS output start CNFRefutation
% See solution above
% 3.96/3.16  % Total time : 2.373s
%------------------------------------------------------------------------------