TSTP Solution File: SWC115+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC115+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:41:34 EDT 2023

% Result   : Theorem 23.48s 3.40s
% Output   : CNFRefutation 23.48s
% 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(X6,X5) ) ) )
                      & ( nil != X4
                        | nil != X3 ) )
                    | ( neq(X1,nil)
                      & segmentP(X2,X1) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',co1) ).

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',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/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',ax7) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',ax17) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',ax28) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',ax26) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',ax81) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',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/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',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/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',ax53) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',ax16) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p',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(X6,X5) ) ) )
                        & ( 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,
    ! [X12] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ( nil != esk2_0
        | nil != esk1_0 )
      & ( nil = esk4_0
        | ssItem(esk5_0) )
      & ( nil = esk3_0
        | ssItem(esk5_0) )
      & ( nil = esk4_0
        | cons(esk5_0,nil) = esk3_0 )
      & ( nil = esk3_0
        | cons(esk5_0,nil) = esk3_0 )
      & ( nil = esk4_0
        | memberP(esk4_0,esk5_0) )
      & ( nil = esk3_0
        | memberP(esk4_0,esk5_0) )
      & ( nil = esk4_0
        | ~ ssItem(X12)
        | esk5_0 = X12
        | ~ memberP(esk4_0,X12)
        | ~ leq(X12,esk5_0) )
      & ( nil = esk3_0
        | ~ ssItem(X12)
        | esk5_0 = X12
        | ~ memberP(esk4_0,X12)
        | ~ leq(X12,esk5_0) )
      & ( ~ neq(esk1_0,nil)
        | ~ segmentP(esk2_0,esk1_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,
    ! [X113,X114] :
      ( ~ ssList(X113)
      | ~ ssItem(X114)
      | cons(X114,X113) != X113 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).

cnf(c_0_15,negated_conjecture,
    ( nil != esk2_0
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_18,plain,
    ! [X13,X14,X17,X18] :
      ( ( ssList(esk6_2(X13,X14))
        | ~ segmentP(X13,X14)
        | ~ ssList(X14)
        | ~ ssList(X13) )
      & ( ssList(esk7_2(X13,X14))
        | ~ segmentP(X13,X14)
        | ~ ssList(X14)
        | ~ ssList(X13) )
      & ( app(app(esk6_2(X13,X14),X14),esk7_2(X13,X14)) = X13
        | ~ segmentP(X13,X14)
        | ~ ssList(X14)
        | ~ ssList(X13) )
      & ( ~ ssList(X17)
        | ~ ssList(X18)
        | app(app(X17,X14),X18) != X13
        | segmentP(X13,X14)
        | ~ ssList(X14)
        | ~ ssList(X13) ) ),
    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 = esk4_0
    | cons(esk5_0,nil) = esk3_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 = esk4_0
    | ssItem(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ( esk3_0 != nil
    | esk4_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,
    ! [X40] :
      ( ~ ssList(X40)
      | app(nil,X40) = X40 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_26,plain,
    ! [X128,X129] :
      ( ~ ssList(X128)
      | ~ ssList(X129)
      | ssList(app(X128,X129)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(c_0_27,plain,
    ! [X41,X42] :
      ( ~ ssList(X41)
      | ~ ssItem(X42)
      | cons(X42,X41) = app(cons(X42,nil),X41) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

cnf(c_0_28,negated_conjecture,
    ( nil = esk3_0
    | cons(esk5_0,nil) = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_29,negated_conjecture,
    esk3_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 = esk3_0
    | ssItem(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_31,plain,
    ! [X45] :
      ( ~ ssList(X45)
      | app(X45,nil) = X45 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

fof(c_0_32,plain,
    ! [X96,X97,X100,X101] :
      ( ( ssList(esk25_2(X96,X97))
        | ~ memberP(X96,X97)
        | ~ ssItem(X97)
        | ~ ssList(X96) )
      & ( ssList(esk26_2(X96,X97))
        | ~ memberP(X96,X97)
        | ~ ssItem(X97)
        | ~ ssList(X96) )
      & ( app(esk25_2(X96,X97),cons(X97,esk26_2(X96,X97))) = X96
        | ~ memberP(X96,X97)
        | ~ ssItem(X97)
        | ~ ssList(X96) )
      & ( ~ ssList(X100)
        | ~ ssList(X101)
        | app(X100,cons(X97,X101)) != X96
        | memberP(X96,X97)
        | ~ ssItem(X97)
        | ~ ssList(X96) ) ),
    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 = esk3_0
    | memberP(esk4_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_34,negated_conjecture,
    ssList(esk2_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(esk5_0,nil) = esk3_0,
    inference(sr,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_40,negated_conjecture,
    ssItem(esk5_0),
    inference(sr,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_41,negated_conjecture,
    ssList(esk1_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(esk25_2(X1,X2),cons(X2,esk26_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(esk4_0,esk5_0),
    inference(sr,[status(thm)],[c_0_33,c_0_29]) ).

cnf(c_0_45,negated_conjecture,
    ssList(esk4_0),
    inference(rw,[status(thm)],[c_0_34,c_0_17]) ).

cnf(c_0_46,plain,
    ( ssList(esk25_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_47,plain,
    ! [X19,X20,X21] :
      ( ~ ssList(X19)
      | ~ ssList(X20)
      | ~ ssList(X21)
      | ~ segmentP(X19,X20)
      | ~ segmentP(X20,X21)
      | segmentP(X19,X21) ),
    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(esk3_0,X1) = cons(esk5_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(esk3_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(esk25_2(esk4_0,esk5_0),cons(esk5_0,esk26_2(esk4_0,esk5_0))) = esk4_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(esk25_2(esk4_0,esk5_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,
    ! [X111,X112] :
      ( ~ ssList(X111)
      | ~ ssItem(X112)
      | ssList(cons(X112,X111)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

cnf(c_0_55,plain,
    ( ssList(esk26_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(esk5_0,X1),esk3_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(esk5_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(esk4_0,cons(esk5_0,esk26_2(esk4_0,esk5_0)))
    | ~ ssList(cons(esk5_0,esk26_2(esk4_0,esk5_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(esk26_2(esk4_0,esk5_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(esk1_0,nil)
    | ~ segmentP(esk2_0,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_63,negated_conjecture,
    ( segmentP(X1,esk3_0)
    | ~ segmentP(X1,cons(esk5_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(esk4_0,cons(esk5_0,esk26_2(esk4_0,esk5_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(esk4_0,esk3_0)
    | ~ neq(esk3_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(esk4_0,esk3_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,
    ! [X33,X34] :
      ( ( ~ neq(X33,X34)
        | X33 != X34
        | ~ ssList(X34)
        | ~ ssList(X33) )
      & ( X33 = X34
        | neq(X33,X34)
        | ~ ssList(X34)
        | ~ ssList(X33) ) ),
    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(esk3_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
% 0.07/0.09  % Problem    : SWC115+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n026.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 2400
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Oct  3 02:06:17 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.0EeZIgb4oX/E---3.1_26839.p
% 23.48/3.40  # Version: 3.1pre001
% 23.48/3.40  # Preprocessing class: FSLSSMSSSSSNFFN.
% 23.48/3.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.48/3.40  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 23.48/3.40  # Starting new_bool_3 with 300s (1) cores
% 23.48/3.40  # Starting new_bool_1 with 300s (1) cores
% 23.48/3.40  # Starting sh5l with 300s (1) cores
% 23.48/3.40  # sh5l with pid 26919 completed with status 0
% 23.48/3.40  # Result found by sh5l
% 23.48/3.40  # Preprocessing class: FSLSSMSSSSSNFFN.
% 23.48/3.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.48/3.40  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 23.48/3.40  # Starting new_bool_3 with 300s (1) cores
% 23.48/3.40  # Starting new_bool_1 with 300s (1) cores
% 23.48/3.40  # Starting sh5l with 300s (1) cores
% 23.48/3.40  # SinE strategy is gf500_gu_R04_F100_L20000
% 23.48/3.40  # Search class: FGHSF-FSLM21-MFFFFFNN
% 23.48/3.40  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 23.48/3.40  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 23.48/3.40  # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 26922 completed with status 0
% 23.48/3.40  # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 23.48/3.40  # Preprocessing class: FSLSSMSSSSSNFFN.
% 23.48/3.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.48/3.40  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 23.48/3.40  # Starting new_bool_3 with 300s (1) cores
% 23.48/3.40  # Starting new_bool_1 with 300s (1) cores
% 23.48/3.40  # Starting sh5l with 300s (1) cores
% 23.48/3.40  # SinE strategy is gf500_gu_R04_F100_L20000
% 23.48/3.40  # Search class: FGHSF-FSLM21-MFFFFFNN
% 23.48/3.40  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 23.48/3.40  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 23.48/3.40  # Preprocessing time       : 0.003 s
% 23.48/3.40  # Presaturation interreduction done
% 23.48/3.40  
% 23.48/3.40  # Proof found!
% 23.48/3.40  # SZS status Theorem
% 23.48/3.40  # SZS output start CNFRefutation
% See solution above
% 23.48/3.40  # Parsed axioms                        : 96
% 23.48/3.40  # Removed by relevancy pruning/SinE    : 8
% 23.48/3.40  # Initial clauses                      : 183
% 23.48/3.40  # Removed in clause preprocessing      : 2
% 23.48/3.40  # Initial clauses in saturation        : 181
% 23.48/3.40  # Processed clauses                    : 17014
% 23.48/3.40  # ...of these trivial                  : 195
% 23.48/3.40  # ...subsumed                          : 12793
% 23.48/3.40  # ...remaining for further processing  : 4026
% 23.48/3.40  # Other redundant clauses eliminated   : 504
% 23.48/3.40  # Clauses deleted for lack of memory   : 0
% 23.48/3.40  # Backward-subsumed                    : 184
% 23.48/3.40  # Backward-rewritten                   : 458
% 23.48/3.40  # Generated clauses                    : 102821
% 23.48/3.40  # ...of the previous two non-redundant : 92434
% 23.48/3.40  # ...aggressively subsumed             : 0
% 23.48/3.40  # Contextual simplify-reflections      : 1249
% 23.48/3.40  # Paramodulations                      : 102288
% 23.48/3.40  # Factorizations                       : 4
% 23.48/3.40  # NegExts                              : 0
% 23.48/3.40  # Equation resolutions                 : 527
% 23.48/3.40  # Total rewrite steps                  : 123938
% 23.48/3.40  # Propositional unsat checks           : 0
% 23.48/3.40  #    Propositional check models        : 0
% 23.48/3.40  #    Propositional check unsatisfiable : 0
% 23.48/3.40  #    Propositional clauses             : 0
% 23.48/3.40  #    Propositional clauses after purity: 0
% 23.48/3.40  #    Propositional unsat core size     : 0
% 23.48/3.40  #    Propositional preprocessing time  : 0.000
% 23.48/3.40  #    Propositional encoding time       : 0.000
% 23.48/3.40  #    Propositional solver time         : 0.000
% 23.48/3.40  #    Success case prop preproc time    : 0.000
% 23.48/3.40  #    Success case prop encoding time   : 0.000
% 23.48/3.40  #    Success case prop solver time     : 0.000
% 23.48/3.40  # Current number of processed clauses  : 3186
% 23.48/3.40  #    Positive orientable unit clauses  : 570
% 23.48/3.40  #    Positive unorientable unit clauses: 0
% 23.48/3.40  #    Negative unit clauses             : 439
% 23.48/3.40  #    Non-unit-clauses                  : 2177
% 23.48/3.40  # Current number of unprocessed clauses: 74792
% 23.48/3.40  # ...number of literals in the above   : 464739
% 23.48/3.40  # Current number of archived formulas  : 0
% 23.48/3.40  # Current number of archived clauses   : 820
% 23.48/3.40  # Clause-clause subsumption calls (NU) : 962043
% 23.48/3.40  # Rec. Clause-clause subsumption calls : 179257
% 23.48/3.40  # Non-unit clause-clause subsumptions  : 7324
% 23.48/3.40  # Unit Clause-clause subsumption calls : 58403
% 23.48/3.40  # Rewrite failures with RHS unbound    : 0
% 23.48/3.40  # BW rewrite match attempts            : 1578
% 23.48/3.40  # BW rewrite match successes           : 139
% 23.48/3.40  # Condensation attempts                : 0
% 23.48/3.40  # Condensation successes               : 0
% 23.48/3.40  # Termbank termtop insertions          : 2654699
% 23.48/3.40  
% 23.48/3.40  # -------------------------------------------------
% 23.48/3.40  # User time                : 2.718 s
% 23.48/3.40  # System time              : 0.074 s
% 23.48/3.40  # Total time               : 2.792 s
% 23.48/3.40  # Maximum resident set size: 2448 pages
% 23.48/3.40  
% 23.48/3.40  # -------------------------------------------------
% 23.48/3.40  # User time                : 2.720 s
% 23.48/3.40  # System time              : 0.077 s
% 23.48/3.40  # Total time               : 2.797 s
% 23.48/3.40  # Maximum resident set size: 1796 pages
% 23.48/3.40  % E---3.1 exiting
%------------------------------------------------------------------------------