TSTP Solution File: SWC193+1 by E-SAT---3.1

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%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC193+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:41:59 EDT 2023

% Result   : Theorem 0.19s 0.54s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   70 (  28 unt;   0 def)
%            Number of atoms       :  240 (  62 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  270 ( 100   ~; 103   |;  26   &)
%                                         (   4 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-2 aty)
%            Number of variables   :   84 (   0 sgn;  57   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ segmentP(X4,X3)
                    | ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ssItem(X6)
                           => ! [X7] :
                                ( ssList(X7)
                               => ! [X8] :
                                    ( ssList(X8)
                                   => ( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1
                                      | X5 = X6 ) ) ) ) )
                    | ( ~ singletonP(X3)
                      & neq(X4,nil) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',co1) ).

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/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax82) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax16) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax17) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax81) ).

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/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax27) ).

fof(ax73,axiom,
    ! [X1] :
      ( ssItem(X1)
     => equalelemsP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax73) ).

fof(ax4,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( singletonP(X1)
      <=> ? [X2] :
            ( ssItem(X2)
            & cons(X2,nil) = X1 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax4) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax15) ).

fof(ax14,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( equalelemsP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ( app(X4,cons(X2,cons(X3,X5))) = X1
                         => X2 = X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax14) ).

fof(ax58,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( segmentP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax58) ).

fof(ax74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/tmp/tmp.KB7yAjN8eV/E---3.1_25065.p',ax74) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ segmentP(X4,X3)
                      | ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssItem(X6)
                             => ! [X7] :
                                  ( ssList(X7)
                                 => ! [X8] :
                                      ( ssList(X8)
                                     => ( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1
                                        | X5 = X6 ) ) ) ) )
                      | ( ~ singletonP(X3)
                        & neq(X4,nil) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_13,negated_conjecture,
    ( ssList(esk48_0)
    & ssList(esk49_0)
    & ssList(esk50_0)
    & ssList(esk51_0)
    & esk49_0 = esk51_0
    & esk48_0 = esk50_0
    & segmentP(esk51_0,esk50_0)
    & ssItem(esk52_0)
    & ssItem(esk53_0)
    & ssList(esk54_0)
    & ssList(esk55_0)
    & app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0
    & esk52_0 != esk53_0
    & ( singletonP(esk50_0)
      | ~ neq(esk51_0,nil) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

cnf(c_0_14,negated_conjecture,
    app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_15,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_16,plain,
    ! [X224,X225,X226] :
      ( ~ ssList(X224)
      | ~ ssList(X225)
      | ~ ssList(X226)
      | app(app(X224,X225),X226) = app(X224,app(X225,X226)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

cnf(c_0_17,negated_conjecture,
    app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ssList(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_20,plain,
    ! [X113,X114] :
      ( ~ ssList(X113)
      | ~ ssItem(X114)
      | ssList(cons(X114,X113)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

cnf(c_0_21,negated_conjecture,
    ( app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk50_0
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_22,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

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

cnf(c_0_24,negated_conjecture,
    ssItem(esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_25,negated_conjecture,
    ( app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).

cnf(c_0_26,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_27,plain,
    ! [X222,X223] :
      ( ~ ssList(X222)
      | ~ ssItem(X223)
      | cons(X223,X222) = app(cons(X223,nil),X222) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

cnf(c_0_28,negated_conjecture,
    app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_23]),c_0_26])]) ).

cnf(c_0_29,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    ( app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0) = esk50_0
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26])]) ).

cnf(c_0_31,negated_conjecture,
    app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_23]),c_0_24])]) ).

cnf(c_0_32,negated_conjecture,
    ssList(esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_33,negated_conjecture,
    ( app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0)) = esk50_0
    | ~ ssList(cons(esk52_0,cons(esk53_0,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_31]),c_0_32]),c_0_19])]) ).

cnf(c_0_34,negated_conjecture,
    ( app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0)) = esk50_0
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_22]),c_0_26])]) ).

fof(c_0_35,plain,
    ! [X134,X135,X136] :
      ( ~ ssList(X134)
      | ~ ssList(X135)
      | ~ ssItem(X136)
      | cons(X136,app(X135,X134)) = app(cons(X136,X135),X134) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).

cnf(c_0_36,negated_conjecture,
    app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_22]),c_0_23]),c_0_24])]) ).

cnf(c_0_37,plain,
    ( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_38,plain,
    ! [X208] :
      ( ~ ssItem(X208)
      | equalelemsP(cons(X208,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).

fof(c_0_39,plain,
    ! [X19,X21] :
      ( ( ssItem(esk5_1(X19))
        | ~ singletonP(X19)
        | ~ ssList(X19) )
      & ( cons(esk5_1(X19),nil) = X19
        | ~ singletonP(X19)
        | ~ ssList(X19) )
      & ( ~ ssItem(X21)
        | cons(X21,nil) != X19
        | singletonP(X19)
        | ~ ssList(X19) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])]) ).

fof(c_0_40,plain,
    ! [X111,X112] :
      ( ( ~ neq(X111,X112)
        | X111 != X112
        | ~ ssList(X112)
        | ~ ssList(X111) )
      & ( X111 = X112
        | neq(X111,X112)
        | ~ ssList(X112)
        | ~ ssList(X111) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

cnf(c_0_41,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_42,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_43,plain,
    ! [X102,X103,X104,X105,X106] :
      ( ( ~ equalelemsP(X102)
        | ~ ssItem(X103)
        | ~ ssItem(X104)
        | ~ ssList(X105)
        | ~ ssList(X106)
        | app(X105,cons(X103,cons(X104,X106))) != X102
        | X103 = X104
        | ~ ssList(X102) )
      & ( ssItem(esk40_1(X102))
        | equalelemsP(X102)
        | ~ ssList(X102) )
      & ( ssItem(esk41_1(X102))
        | equalelemsP(X102)
        | ~ ssList(X102) )
      & ( ssList(esk42_1(X102))
        | equalelemsP(X102)
        | ~ ssList(X102) )
      & ( ssList(esk43_1(X102))
        | equalelemsP(X102)
        | ~ ssList(X102) )
      & ( app(esk42_1(X102),cons(esk40_1(X102),cons(esk41_1(X102),esk43_1(X102)))) = X102
        | equalelemsP(X102)
        | ~ ssList(X102) )
      & ( esk40_1(X102) != esk41_1(X102)
        | equalelemsP(X102)
        | ~ ssList(X102) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])])])])]) ).

cnf(c_0_44,negated_conjecture,
    ( app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0))) = esk50_0
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_32]),c_0_26])]) ).

cnf(c_0_45,plain,
    ( equalelemsP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_46,plain,
    ( cons(esk5_1(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_47,plain,
    ( ssItem(esk5_1(X1))
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_48,negated_conjecture,
    ( singletonP(esk50_0)
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_49,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_50,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_52,plain,
    ( X2 = X3
    | ~ equalelemsP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | app(X4,cons(X2,cons(X3,X5))) != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_53,negated_conjecture,
    app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0))) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_22]),c_0_23]),c_0_24])]) ).

cnf(c_0_54,plain,
    ( equalelemsP(X1)
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    ( esk51_0 = nil
    | singletonP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_23]),c_0_50])]) ).

cnf(c_0_56,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_51,c_0_15]) ).

cnf(c_0_57,plain,
    ( X1 = X2
    | ~ equalelemsP(app(X3,cons(X1,cons(X2,X4))))
    | ~ ssList(app(X3,cons(X1,cons(X2,X4))))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    app(esk54_0,cons(esk52_0,cons(esk53_0,esk55_0))) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_29]),c_0_32]),c_0_24])]) ).

cnf(c_0_59,negated_conjecture,
    esk52_0 != esk53_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_60,negated_conjecture,
    ( esk51_0 = nil
    | equalelemsP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

cnf(c_0_61,negated_conjecture,
    ~ equalelemsP(esk50_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_56]),c_0_32]),c_0_19]),c_0_24]),c_0_26])]),c_0_59]) ).

fof(c_0_62,plain,
    ! [X197] :
      ( ( ~ segmentP(nil,X197)
        | nil = X197
        | ~ ssList(X197) )
      & ( nil != X197
        | segmentP(nil,X197)
        | ~ ssList(X197) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).

cnf(c_0_63,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_64,negated_conjecture,
    esk51_0 = nil,
    inference(sr,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_65,plain,
    ( nil = X1
    | ~ segmentP(nil,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    segmentP(nil,esk50_0),
    inference(rw,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    esk50_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_56])]) ).

cnf(c_0_68,plain,
    equalelemsP(nil),
    inference(split_conjunct,[status(thm)],[ax74]) ).

cnf(c_0_69,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_67]),c_0_68])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SWC193+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 2400
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Oct  3 01:46:55 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.KB7yAjN8eV/E---3.1_25065.p
% 0.19/0.54  # Version: 3.1pre001
% 0.19/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.54  # Starting sh5l with 300s (1) cores
% 0.19/0.54  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 25142 completed with status 0
% 0.19/0.54  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.19/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.54  # No SInE strategy applied
% 0.19/0.54  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.19/0.54  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.54  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.19/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.54  # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.19/0.54  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.19/0.54  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 136s (1) cores
% 0.19/0.54  # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 25157 completed with status 0
% 0.19/0.54  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 0.19/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.54  # No SInE strategy applied
% 0.19/0.54  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.19/0.54  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.54  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.19/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.54  # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.19/0.54  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.19/0.54  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 136s (1) cores
% 0.19/0.54  # Preprocessing time       : 0.003 s
% 0.19/0.54  # Presaturation interreduction done
% 0.19/0.54  
% 0.19/0.54  # Proof found!
% 0.19/0.54  # SZS status Theorem
% 0.19/0.54  # SZS output start CNFRefutation
% See solution above
% 0.19/0.54  # Parsed axioms                        : 96
% 0.19/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.54  # Initial clauses                      : 204
% 0.19/0.54  # Removed in clause preprocessing      : 2
% 0.19/0.54  # Initial clauses in saturation        : 202
% 0.19/0.54  # Processed clauses                    : 596
% 0.19/0.54  # ...of these trivial                  : 3
% 0.19/0.54  # ...subsumed                          : 78
% 0.19/0.54  # ...remaining for further processing  : 515
% 0.19/0.54  # Other redundant clauses eliminated   : 57
% 0.19/0.54  # Clauses deleted for lack of memory   : 0
% 0.19/0.54  # Backward-subsumed                    : 8
% 0.19/0.54  # Backward-rewritten                   : 73
% 0.19/0.54  # Generated clauses                    : 926
% 0.19/0.54  # ...of the previous two non-redundant : 798
% 0.19/0.54  # ...aggressively subsumed             : 0
% 0.19/0.54  # Contextual simplify-reflections      : 30
% 0.19/0.54  # Paramodulations                      : 865
% 0.19/0.54  # Factorizations                       : 0
% 0.19/0.54  # NegExts                              : 0
% 0.19/0.54  # Equation resolutions                 : 62
% 0.19/0.54  # Total rewrite steps                  : 545
% 0.19/0.54  # Propositional unsat checks           : 0
% 0.19/0.54  #    Propositional check models        : 0
% 0.19/0.54  #    Propositional check unsatisfiable : 0
% 0.19/0.54  #    Propositional clauses             : 0
% 0.19/0.54  #    Propositional clauses after purity: 0
% 0.19/0.54  #    Propositional unsat core size     : 0
% 0.19/0.54  #    Propositional preprocessing time  : 0.000
% 0.19/0.54  #    Propositional encoding time       : 0.000
% 0.19/0.54  #    Propositional solver time         : 0.000
% 0.19/0.54  #    Success case prop preproc time    : 0.000
% 0.19/0.54  #    Success case prop encoding time   : 0.000
% 0.19/0.54  #    Success case prop solver time     : 0.000
% 0.19/0.54  # Current number of processed clauses  : 214
% 0.19/0.54  #    Positive orientable unit clauses  : 23
% 0.19/0.54  #    Positive unorientable unit clauses: 0
% 0.19/0.54  #    Negative unit clauses             : 3
% 0.19/0.54  #    Non-unit-clauses                  : 188
% 0.19/0.54  # Current number of unprocessed clauses: 599
% 0.19/0.54  # ...number of literals in the above   : 3534
% 0.19/0.54  # Current number of archived formulas  : 0
% 0.19/0.54  # Current number of archived clauses   : 278
% 0.19/0.54  # Clause-clause subsumption calls (NU) : 21034
% 0.19/0.54  # Rec. Clause-clause subsumption calls : 5882
% 0.19/0.54  # Non-unit clause-clause subsumptions  : 113
% 0.19/0.54  # Unit Clause-clause subsumption calls : 178
% 0.19/0.54  # Rewrite failures with RHS unbound    : 0
% 0.19/0.54  # BW rewrite match attempts            : 22
% 0.19/0.54  # BW rewrite match successes           : 17
% 0.19/0.54  # Condensation attempts                : 0
% 0.19/0.54  # Condensation successes               : 0
% 0.19/0.54  # Termbank termtop insertions          : 33116
% 0.19/0.54  
% 0.19/0.54  # -------------------------------------------------
% 0.19/0.54  # User time                : 0.049 s
% 0.19/0.54  # System time              : 0.006 s
% 0.19/0.54  # Total time               : 0.055 s
% 0.19/0.54  # Maximum resident set size: 2512 pages
% 0.19/0.54  
% 0.19/0.54  # -------------------------------------------------
% 0.19/0.54  # User time                : 0.200 s
% 0.19/0.54  # System time              : 0.027 s
% 0.19/0.54  # Total time               : 0.228 s
% 0.19/0.54  # Maximum resident set size: 1800 pages
% 0.19/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------