TSTP Solution File: SWC329+1 by ET---2.0

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC329+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n014.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  : 600s
% DateTime : Tue Jul 19 20:28:05 EDT 2022

% Result   : Theorem 0.53s 52.68s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   78 (  11 unt;   0 def)
%            Number of atoms       :  334 ( 122 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives :  429 ( 173   ~; 191   |;  37   &)
%                                         (   3 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   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   :   94 (   0 sgn  45   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ( ! [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 ) )
                    | ( segmentP(X2,X1)
                      & equalelemsP(X1) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).

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

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

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

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

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

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ( ! [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 ) )
                      | ( segmentP(X2,X1)
                        & equalelemsP(X1) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_12,negated_conjecture,
    ! [X12] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_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(X12)
        | esk52_0 = X12
        | ~ memberP(esk51_0,X12)
        | ~ leq(esk52_0,X12) )
      & ( nil = esk50_0
        | ~ ssItem(X12)
        | esk52_0 = X12
        | ~ memberP(esk51_0,X12)
        | ~ leq(esk52_0,X12) )
      & ( ~ segmentP(esk49_0,esk48_0)
        | ~ equalelemsP(esk48_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])])])]) ).

fof(c_0_13,plain,
    ! [X5,X6,X9,X10] :
      ( ( ssList(esk8_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ssList(esk9_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( app(app(esk8_2(X5,X6),X6),esk9_2(X5,X6)) = X5
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ~ ssList(X9)
        | ~ ssList(X10)
        | app(app(X9,X6),X10) != X5
        | segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])])])]) ).

fof(c_0_14,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(nil,X2) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_15,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | cons(X4,X3) = app(cons(X4,nil),X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])])]) ).

cnf(c_0_16,negated_conjecture,
    ( cons(esk52_0,nil) = esk50_0
    | nil = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X4,X5),X6) = app(X4,app(X5,X6)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])])]) ).

fof(c_0_19,plain,
    ! [X2] :
      ( ~ ssItem(X2)
      | equalelemsP(cons(X2,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).

cnf(c_0_20,plain,
    ( segmentP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_23,plain,
    ( cons(X1,X2) = app(cons(X1,nil),X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ( cons(esk52_0,nil) = esk48_0
    | nil = esk48_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).

cnf(c_0_25,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ( equalelemsP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_28,negated_conjecture,
    ( app(esk48_0,X1) = cons(esk52_0,X1)
    | nil = esk48_0
    | ~ ssList(X1)
    | ~ ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_30,plain,
    ( segmentP(X1,X2)
    | app(X3,app(X2,X4)) != X1
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_25]) ).

fof(c_0_31,plain,
    ! [X5,X6,X9,X10] :
      ( ( ssList(esk3_2(X5,X6))
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( ssList(esk4_2(X5,X6))
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6))) = X5
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( ~ ssList(X9)
        | ~ ssList(X10)
        | app(X9,cons(X6,X10)) != X5
        | memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])])])]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ equalelemsP(esk48_0)
    | ~ segmentP(esk49_0,esk48_0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_33,negated_conjecture,
    ( nil = esk48_0
    | equalelemsP(esk48_0)
    | ~ ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_26,c_0_24]) ).

cnf(c_0_34,negated_conjecture,
    ( nil = esk48_0
    | segmentP(X1,esk48_0)
    | cons(esk52_0,X2) != X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_35,negated_conjecture,
    ( cons(esk52_0,nil) = esk50_0
    | nil = esk51_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_36,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_37,negated_conjecture,
    ( nil = esk48_0
    | segmentP(X1,esk48_0)
    | app(X2,cons(esk52_0,X3)) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_29])]) ).

cnf(c_0_38,plain,
    ( app(esk3_2(X1,X2),cons(X2,esk4_2(X1,X2))) = X1
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    ( nil = esk48_0
    | ~ segmentP(esk49_0,esk48_0)
    | ~ ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    ( nil = esk48_0
    | segmentP(X1,esk48_0)
    | esk48_0 != X1
    | ~ ssList(X1)
    | ~ ssItem(esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_22])]) ).

cnf(c_0_41,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_42,negated_conjecture,
    ( ssItem(esk52_0)
    | nil = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_43,negated_conjecture,
    ( cons(esk52_0,nil) = esk48_0
    | nil = esk49_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_17]) ).

cnf(c_0_44,negated_conjecture,
    ( nil = esk48_0
    | segmentP(X1,esk48_0)
    | ~ memberP(X1,esk52_0)
    | ~ ssList(esk4_2(X1,esk52_0))
    | ~ ssList(esk3_2(X1,esk52_0))
    | ~ ssList(X1)
    | ~ ssItem(esk52_0) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38])]) ).

cnf(c_0_45,plain,
    ( ssList(esk4_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_46,negated_conjecture,
    ( nil = esk48_0
    | esk48_0 != esk49_0
    | ~ ssItem(esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_47,negated_conjecture,
    ( nil = esk48_0
    | ssItem(esk52_0) ),
    inference(rw,[status(thm)],[c_0_42,c_0_17]) ).

fof(c_0_48,plain,
    ! [X3,X4] :
      ( ( nil = X4
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil = X3
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil != X4
        | nil != X3
        | nil = app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])])])]) ).

cnf(c_0_49,negated_conjecture,
    ( nil = esk49_0
    | equalelemsP(esk48_0)
    | ~ ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_26,c_0_43]) ).

cnf(c_0_50,negated_conjecture,
    ( nil = esk48_0
    | segmentP(X1,esk48_0)
    | ~ memberP(X1,esk52_0)
    | ~ ssList(esk3_2(X1,esk52_0))
    | ~ ssList(X1)
    | ~ ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_51,plain,
    ( ssList(esk3_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_52,plain,
    equalelemsP(nil),
    inference(split_conjunct,[status(thm)],[ax74]) ).

cnf(c_0_53,negated_conjecture,
    ( nil = esk48_0
    | esk48_0 != esk49_0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,plain,
    ( nil = app(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X1
    | nil != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_55,negated_conjecture,
    ( nil = esk49_0
    | ~ segmentP(esk49_0,esk48_0)
    | ~ ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_49]) ).

fof(c_0_56,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | cons(X4,X3) != X3 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])])])]) ).

cnf(c_0_57,negated_conjecture,
    ( nil = esk48_0
    | segmentP(X1,esk48_0)
    | ~ memberP(X1,esk52_0)
    | ~ ssList(X1)
    | ~ ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_58,negated_conjecture,
    ( memberP(esk51_0,esk52_0)
    | nil = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_59,negated_conjecture,
    ( equalelemsP(esk48_0)
    | esk48_0 != esk49_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_60,plain,
    ( segmentP(X1,X2)
    | nil != X1
    | nil != X3
    | nil != X2
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_54]) ).

cnf(c_0_61,negated_conjecture,
    ( nil = esk49_0
    | nil = esk48_0
    | esk48_0 != esk49_0
    | ~ ssItem(esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_40]),c_0_41])]) ).

cnf(c_0_62,plain,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    ( ssItem(esk52_0)
    | nil = esk51_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_64,negated_conjecture,
    ( nil = esk48_0
    | ~ memberP(esk49_0,esk52_0)
    | ~ ssItem(esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_57]),c_0_41])]) ).

cnf(c_0_65,negated_conjecture,
    ( nil = esk48_0
    | memberP(esk49_0,esk52_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_17]),c_0_36]) ).

cnf(c_0_66,negated_conjecture,
    ( esk48_0 != esk49_0
    | ~ segmentP(esk49_0,esk48_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_59]) ).

cnf(c_0_67,plain,
    ( segmentP(X1,X2)
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_22]) ).

cnf(c_0_68,negated_conjecture,
    ( nil = esk49_0
    | nil = esk48_0
    | esk48_0 != esk49_0 ),
    inference(spm,[status(thm)],[c_0_61,c_0_47]) ).

cnf(c_0_69,negated_conjecture,
    ( nil = esk49_0
    | nil != esk48_0
    | ~ ssItem(esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_43]),c_0_22])]) ).

cnf(c_0_70,negated_conjecture,
    ( nil = esk49_0
    | ssItem(esk52_0) ),
    inference(rw,[status(thm)],[c_0_63,c_0_36]) ).

cnf(c_0_71,negated_conjecture,
    ( nil = esk48_0
    | ~ ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_72,negated_conjecture,
    ( esk48_0 != esk49_0
    | nil != esk49_0
    | nil != esk48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_29]),c_0_41])]) ).

cnf(c_0_73,negated_conjecture,
    ( nil = esk49_0
    | esk48_0 != esk49_0 ),
    inference(ef,[status(thm)],[c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    ( nil = esk49_0
    | nil != esk48_0 ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    nil = esk48_0,
    inference(spm,[status(thm)],[c_0_71,c_0_47]) ).

cnf(c_0_76,negated_conjecture,
    esk48_0 != esk49_0,
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_77,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75]),c_0_75])]),c_0_76]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC329+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 17:14:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.36/23.41  eprover: CPU time limit exceeded, terminating
% 0.36/23.41  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.36/23.41  
% 0.36/23.42  eprover: CPU time limit exceeded, terminating
% 0.49/46.42  eprover: CPU time limit exceeded, terminating
% 0.49/46.43  eprover: CPU time limit exceeded, terminating
% 0.49/46.43  eprover: CPU time limit exceeded, terminating
% 0.49/46.43  eprover: CPU time limit exceeded, terminating
% 0.53/52.68  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.53/52.68  
% 0.53/52.68  # Failure: Resource limit exceeded (time)
% 0.53/52.68  # OLD status Res
% 0.53/52.68  # Preprocessing time       : 0.025 s
% 0.53/52.68  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.53/52.68  
% 0.53/52.68  # Failure: Resource limit exceeded (time)
% 0.53/52.68  # OLD status Res
% 0.53/52.68  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.53/52.68  # Preprocessing time       : 0.011 s
% 0.53/52.68  # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.53/52.68  # Preprocessing time       : 0.013 s
% 0.53/52.68  
% 0.53/52.68  # Proof found!
% 0.53/52.68  # SZS status Theorem
% 0.53/52.68  # SZS output start CNFRefutation
% See solution above
% 0.53/52.68  # Proof object total steps             : 78
% 0.53/52.68  # Proof object clause steps            : 57
% 0.53/52.68  # Proof object formula steps           : 21
% 0.53/52.68  # Proof object conjectures             : 44
% 0.53/52.68  # Proof object clause conjectures      : 41
% 0.53/52.68  # Proof object formula conjectures     : 3
% 0.53/52.68  # Proof object initial clauses used    : 22
% 0.53/52.68  # Proof object initial formulas used   : 11
% 0.53/52.68  # Proof object generating inferences   : 29
% 0.53/52.68  # Proof object simplifying inferences  : 32
% 0.53/52.68  # Training examples: 0 positive, 0 negative
% 0.53/52.68  # Parsed axioms                        : 96
% 0.53/52.68  # Removed by relevancy pruning/SinE    : 0
% 0.53/52.68  # Initial clauses                      : 205
% 0.53/52.68  # Removed in clause preprocessing      : 2
% 0.53/52.68  # Initial clauses in saturation        : 203
% 0.53/52.68  # Processed clauses                    : 75800
% 0.53/52.68  # ...of these trivial                  : 6031
% 0.53/52.68  # ...subsumed                          : 66147
% 0.53/52.68  # ...remaining for further processing  : 3622
% 0.53/52.68  # Other redundant clauses eliminated   : 388
% 0.53/52.68  # Clauses deleted for lack of memory   : 71730
% 0.53/52.68  # Backward-subsumed                    : 1934
% 0.53/52.68  # Backward-rewritten                   : 1526
% 0.53/52.68  # Generated clauses                    : 319149
% 0.53/52.68  # ...of the previous two non-trivial   : 257446
% 0.53/52.68  # Contextual simplify-reflections      : 0
% 0.53/52.68  # Paramodulations                      : 318331
% 0.53/52.68  # Factorizations                       : 1
% 0.53/52.68  # Equation resolutions                 : 817
% 0.53/52.68  # Current number of processed clauses  : 156
% 0.53/52.68  #    Positive orientable unit clauses  : 7
% 0.53/52.68  #    Positive unorientable unit clauses: 0
% 0.53/52.68  #    Negative unit clauses             : 2
% 0.53/52.68  #    Non-unit-clauses                  : 147
% 0.53/52.68  # Current number of unprocessed clauses: 1455
% 0.53/52.68  # ...number of literals in the above   : 6464
% 0.53/52.68  # Current number of archived formulas  : 0
% 0.53/52.68  # Current number of archived clauses   : 3460
% 0.53/52.68  # Clause-clause subsumption calls (NU) : 2260234
% 0.53/52.68  # Rec. Clause-clause subsumption calls : 299577
% 0.53/52.68  # Non-unit clause-clause subsumptions  : 65361
% 0.53/52.68  # Unit Clause-clause subsumption calls : 121
% 0.53/52.68  # Rewrite failures with RHS unbound    : 0
% 0.53/52.68  # BW rewrite match attempts            : 2
% 0.53/52.68  # BW rewrite match successes           : 2
% 0.53/52.68  # Condensation attempts                : 0
% 0.53/52.68  # Condensation successes               : 0
% 0.53/52.68  # Termbank termtop insertions          : 7782904
% 0.53/52.68  
% 0.53/52.68  # -------------------------------------------------
% 0.53/52.68  # User time                : 6.016 s
% 0.53/52.68  # System time              : 0.094 s
% 0.53/52.68  # Total time               : 6.110 s
% 0.53/52.68  # Maximum resident set size: 129528 pages
% 0.53/69.44  eprover: CPU time limit exceeded, terminating
% 0.53/69.44  eprover: CPU time limit exceeded, terminating
% 0.53/69.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.45  eprover: No such file or directory
% 0.53/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.46  eprover: No such file or directory
% 0.53/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.46  eprover: No such file or directory
% 0.53/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.46  eprover: No such file or directory
% 0.53/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.46  eprover: No such file or directory
% 0.53/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.47  eprover: No such file or directory
% 0.53/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.47  eprover: No such file or directory
% 0.53/69.47  eprover: CPU time limit exceeded, terminating
% 0.53/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.47  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.51  eprover: No such file or directory
% 0.53/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.51  eprover: No such file or directory
% 0.53/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.51  eprover: No such file or directory
% 0.53/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.52  eprover: No such file or directory
% 0.53/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.52  eprover: No such file or directory
%------------------------------------------------------------------------------