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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWC057+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n004.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 05:18:05 PM UTC 2026

% Result   : Theorem 1.49s 1.78s
% Output   : CNFRefutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   74 (  12 unt;   0 def)
%            Number of atoms       :  280 (  81 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives :  342 ( 136   ~; 147   |;  34   &)
%                                         (   3 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   80 (   0 sgn  42   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | ( ( nil != X2
                      | nil = X1 )
                    & ( ~ neq(X2,nil)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X5,nil)
                          & segmentP(X2,X5)
                          & segmentP(X1,X5) ) ) )
                  | ( ( nil != X4
                      | nil != X3 )
                    & ( ~ neq(X3,nil)
                      | ~ frontsegP(X4,X3) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax43,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( frontsegP(X1,X2)
               => frontsegP(app(X1,X3),X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).

fof(ax45,axiom,
    ! [X1] :
      ( ssList(X1)
     => frontsegP(X1,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).

fof(ax5,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(ax55,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(ax57,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ( ( nil != X2
                        | nil = X1 )
                      & ( ~ neq(X2,nil)
                        | ? [X5] :
                            ( ssList(X5)
                            & neq(X5,nil)
                            & segmentP(X2,X5)
                            & segmentP(X1,X5) ) ) )
                    | ( ( nil != X4
                        | nil != X3 )
                      & ( ~ neq(X3,nil)
                        | ~ frontsegP(X4,X3) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_12,negated_conjecture,
    ! [X463] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & ( neq(esk49_0,nil)
        | nil = esk49_0 )
      & ( ~ ssList(X463)
        | ~ neq(X463,nil)
        | ~ segmentP(esk49_0,X463)
        | ~ segmentP(esk48_0,X463)
        | nil = esk49_0 )
      & ( neq(esk49_0,nil)
        | nil != esk48_0 )
      & ( ~ ssList(X463)
        | ~ neq(X463,nil)
        | ~ segmentP(esk49_0,X463)
        | ~ segmentP(esk48_0,X463)
        | nil != esk48_0 )
      & ( neq(esk50_0,nil)
        | nil = esk51_0 )
      & ( frontsegP(esk51_0,esk50_0)
        | nil = esk51_0 )
      & ( neq(esk50_0,nil)
        | nil = esk50_0 )
      & ( frontsegP(esk51_0,esk50_0)
        | nil = esk50_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_11])])])])]) ).

fof(c_0_13,plain,
    ! [X372,X373,X374] :
      ( ~ ssList(X372)
      | ~ ssList(X373)
      | ~ ssList(X374)
      | ~ frontsegP(X372,X373)
      | frontsegP(app(X372,X374),X373) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).

fof(c_0_14,plain,
    ! [X379] :
      ( ~ ssList(X379)
      | frontsegP(X379,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).

fof(c_0_15,plain,
    ! [X228,X229,X231] :
      ( ( ssList(esk6_2(X228,X229))
        | ~ frontsegP(X228,X229)
        | ~ ssList(X229)
        | ~ ssList(X228) )
      & ( app(X229,esk6_2(X228,X229)) = X228
        | ~ frontsegP(X228,X229)
        | ~ ssList(X229)
        | ~ ssList(X228) )
      & ( ~ ssList(X231)
        | app(X229,X231) != X228
        | frontsegP(X228,X229)
        | ~ ssList(X229)
        | ~ ssList(X228) ) ),
    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_16,negated_conjecture,
    ( frontsegP(esk51_0,esk50_0)
    | nil = esk51_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_20,plain,
    ! [X236,X237,X240,X241] :
      ( ( ssList(esk8_2(X236,X237))
        | ~ segmentP(X236,X237)
        | ~ ssList(X237)
        | ~ ssList(X236) )
      & ( ssList(esk9_2(X236,X237))
        | ~ segmentP(X236,X237)
        | ~ ssList(X237)
        | ~ ssList(X236) )
      & ( app(app(esk8_2(X236,X237),X237),esk9_2(X236,X237)) = X236
        | ~ segmentP(X236,X237)
        | ~ ssList(X237)
        | ~ ssList(X236) )
      & ( ~ ssList(X240)
        | ~ ssList(X241)
        | app(app(X240,X237),X241) != X236
        | segmentP(X236,X237)
        | ~ ssList(X237)
        | ~ ssList(X236) ) ),
    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_21,plain,
    ( frontsegP(app(X1,X3),X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ frontsegP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,plain,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_24,plain,
    ( app(X1,esk6_2(X2,X1)) = X2
    | ~ frontsegP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    ( esk49_0 = nil
    | frontsegP(esk49_0,esk50_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).

cnf(c_0_26,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_27,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_28,plain,
    ( ssList(esk6_2(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_29,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_20]) ).

fof(c_0_30,plain,
    ! [X343] :
      ( ~ ssList(X343)
      | app(nil,X343) = X343 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_31,plain,
    ! [X338,X339] :
      ( ~ ssList(X338)
      | ~ ssList(X339)
      | ssList(app(X338,X339)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

cnf(c_0_32,negated_conjecture,
    ( frontsegP(esk51_0,esk50_0)
    | nil = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_33,plain,
    ( frontsegP(app(X1,X2),nil)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_34,negated_conjecture,
    ( app(esk50_0,esk6_2(esk49_0,esk50_0)) = esk49_0
    | esk49_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).

cnf(c_0_35,negated_conjecture,
    ( esk49_0 = nil
    | ssList(esk6_2(esk49_0,esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_27]),c_0_26])]) ).

cnf(c_0_36,negated_conjecture,
    ( nil = esk49_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk49_0,X1)
    | ~ segmentP(esk48_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_37,plain,
    ! [X397] :
      ( ~ ssList(X397)
      | segmentP(X397,X397) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).

cnf(c_0_38,negated_conjecture,
    ( neq(esk50_0,nil)
    | nil = esk51_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_39,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_29]) ).

cnf(c_0_40,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_41,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_42,negated_conjecture,
    ( esk50_0 = nil
    | frontsegP(esk49_0,esk50_0) ),
    inference(rw,[status(thm)],[c_0_32,c_0_17]) ).

fof(c_0_43,plain,
    ! [X433,X434] :
      ( ( nil = X434
        | nil != app(X433,X434)
        | ~ ssList(X434)
        | ~ ssList(X433) )
      & ( nil = X433
        | nil != app(X433,X434)
        | ~ ssList(X434)
        | ~ ssList(X433) )
      & ( nil != X434
        | nil != X433
        | nil = app(X433,X434)
        | ~ ssList(X434)
        | ~ ssList(X433) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).

cnf(c_0_44,negated_conjecture,
    ( esk49_0 = nil
    | frontsegP(esk49_0,nil) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_27])]),c_0_35]) ).

cnf(c_0_45,plain,
    ( app(nil,esk6_2(X1,nil)) = X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_22]),c_0_23])]) ).

cnf(c_0_46,plain,
    ( ssList(esk6_2(X1,nil))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_23])]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk49_0,X1)
    | ~ segmentP(esk48_0,X1)
    | nil != esk48_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_48,plain,
    ! [X402] :
      ( ~ ssList(X402)
      | segmentP(X402,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).

cnf(c_0_49,negated_conjecture,
    ( esk49_0 = nil
    | ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk49_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[c_0_36,c_0_19]) ).

cnf(c_0_50,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_51,negated_conjecture,
    ( esk49_0 = nil
    | neq(esk50_0,nil) ),
    inference(rw,[status(thm)],[c_0_38,c_0_17]) ).

cnf(c_0_52,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_39,c_0_40]),c_0_23])]),c_0_41]) ).

cnf(c_0_53,negated_conjecture,
    ( app(esk50_0,esk6_2(esk49_0,esk50_0)) = esk49_0
    | esk50_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_42]),c_0_26]),c_0_27])]) ).

cnf(c_0_54,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk6_2(esk49_0,esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_42]),c_0_27]),c_0_26])]) ).

cnf(c_0_55,plain,
    ( nil = X1
    | nil != app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_56,negated_conjecture,
    ( app(nil,esk6_2(esk49_0,nil)) = esk49_0
    | esk49_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_44]),c_0_26]),c_0_23])]) ).

cnf(c_0_57,plain,
    ( esk6_2(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_45]),c_0_46]) ).

cnf(c_0_58,negated_conjecture,
    ( esk50_0 != nil
    | ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk49_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_19]),c_0_19]) ).

cnf(c_0_59,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_60,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_61,negated_conjecture,
    ( esk49_0 = nil
    | ~ segmentP(esk49_0,esk50_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_27])]),c_0_51]) ).

cnf(c_0_62,negated_conjecture,
    ( esk50_0 = nil
    | segmentP(esk49_0,esk50_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_27])]),c_0_54]) ).

cnf(c_0_63,negated_conjecture,
    ( esk50_0 = nil
    | esk49_0 != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_53]),c_0_27])]),c_0_54]) ).

cnf(c_0_64,negated_conjecture,
    ( app(nil,esk49_0) = esk49_0
    | esk49_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_26])]) ).

cnf(c_0_65,negated_conjecture,
    ( esk50_0 != nil
    | ~ segmentP(esk49_0,nil)
    | ~ neq(nil,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_23]),c_0_27])]) ).

cnf(c_0_66,negated_conjecture,
    ( neq(esk49_0,nil)
    | esk50_0 != nil ),
    inference(rw,[status(thm)],[c_0_60,c_0_19]) ).

cnf(c_0_67,negated_conjecture,
    esk50_0 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).

cnf(c_0_68,negated_conjecture,
    ( esk49_0 = nil
    | segmentP(esk49_0,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_64]),c_0_23]),c_0_26])]) ).

cnf(c_0_69,negated_conjecture,
    ( esk50_0 != nil
    | ~ neq(nil,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_59]),c_0_26])]) ).

cnf(c_0_70,negated_conjecture,
    neq(esk49_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).

cnf(c_0_71,negated_conjecture,
    esk49_0 = nil,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_67]),c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    ~ neq(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_67])]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_72]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC057+1 : TPTP v9.2.1. Released v2.4.0.
% 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
% 0.14/0.33  % Computer : n004.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue May  5 04:20:02 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.49/1.78  % Version  : CSE_E---1.7
% 1.49/1.78  % Problem  : theBenchmark.p
% 1.49/1.78  % SZS status Theorem for theBenchmark.p
% 1.49/1.78  % SZS output start CNFRefutation
% See solution above
% 1.49/1.78  % Total time : 1.372s
%------------------------------------------------------------------------------