TSTP Solution File: SWC178+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC178+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 21 04:28:09 EDT 2024

% Result   : Theorem 0.93s 0.59s
% Output   : CNFRefutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   71 (  26 unt;   0 def)
%            Number of atoms       :  267 (  57 equ)
%            Maximal formula atoms :   30 (   3 avg)
%            Number of connectives :  308 ( 112   ~; 110   |;  28   &)
%                                         (   8 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :  100 (   0 sgn  71   !;   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 ) )
                              | neq(X5,X6) ) ) )
                    | ( ~ singletonP(X3)
                      & neq(X4,nil) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax1,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax1) ).

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

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

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

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(ax13,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( duplicatefreeP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => X2 != X3 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax13) ).

fof(ax71,axiom,
    ! [X1] :
      ( ssItem(X1)
     => duplicatefreeP(cons(X1,nil)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax71) ).

fof(ax4,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( singletonP(X1)
      <=> ? [X2] :
            ( ssItem(X2)
            & cons(X2,nil) = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).

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(ax58,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( segmentP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).

fof(ax72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax72) ).

fof(c_0_13,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 ) )
                                | neq(X5,X6) ) ) )
                      | ( ~ singletonP(X3)
                        & neq(X4,nil) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_14,plain,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax1]) ).

fof(c_0_15,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
    & ~ neq(esk52_0,esk53_0)
    & ( singletonP(esk50_0)
      | ~ neq(esk51_0,nil) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

fof(c_0_16,plain,
    ! [X9,X10] :
      ( ( ~ neq(X9,X10)
        | X9 != X10
        | ~ ssItem(X10)
        | ~ ssItem(X9) )
      & ( X9 = X10
        | neq(X9,X10)
        | ~ ssItem(X10)
        | ~ ssItem(X9) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).

cnf(c_0_17,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_15]) ).

cnf(c_0_18,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_19,plain,
    ! [X224,X225,X226] :
      ( ~ ssList(X224)
      | ~ ssList(X225)
      | ~ ssList(X226)
      | app(app(X224,X225),X226) = app(X224,app(X225,X226)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])]) ).

cnf(c_0_20,negated_conjecture,
    ~ neq(esk52_0,esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    ssItem(esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,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_17,c_0_18]) ).

cnf(c_0_25,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    esk53_0 = esk52_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_27,negated_conjecture,
    ssList(esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_28,plain,
    ! [X113,X114] :
      ( ~ ssList(X113)
      | ~ ssItem(X114)
      | ssList(cons(X114,X113)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

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

cnf(c_0_30,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_31,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

fof(c_0_32,plain,
    ! [X132,X133] :
      ( ~ ssList(X132)
      | ~ ssList(X133)
      | ssList(app(X132,X133)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

fof(c_0_33,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

fof(c_0_34,plain,
    ! [X1] :
      ( ssList(X1)
     => ( duplicatefreeP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => X2 != X3 ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ax13]) ).

cnf(c_0_35,negated_conjecture,
    ( app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0)) = esk50_0
    | ~ ssList(app(esk54_0,cons(esk52_0,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_23])]) ).

cnf(c_0_36,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    ssList(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_38,plain,
    ! [X207] :
      ( ~ ssItem(X207)
      | duplicatefreeP(cons(X207,nil)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])])]) ).

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(fof_nnf,[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(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])]) ).

cnf(c_0_41,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_42,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_43,plain,
    ! [X91,X92,X93,X94,X95,X96] :
      ( ( ~ duplicatefreeP(X91)
        | ~ ssItem(X92)
        | ~ ssItem(X93)
        | ~ ssList(X94)
        | ~ ssList(X95)
        | ~ ssList(X96)
        | app(app(X94,cons(X92,X95)),cons(X93,X96)) != X91
        | X92 != X93
        | ~ ssList(X91) )
      & ( ssItem(esk35_1(X91))
        | duplicatefreeP(X91)
        | ~ ssList(X91) )
      & ( ssItem(esk36_1(X91))
        | duplicatefreeP(X91)
        | ~ ssList(X91) )
      & ( ssList(esk37_1(X91))
        | duplicatefreeP(X91)
        | ~ ssList(X91) )
      & ( ssList(esk38_1(X91))
        | duplicatefreeP(X91)
        | ~ ssList(X91) )
      & ( ssList(esk39_1(X91))
        | duplicatefreeP(X91)
        | ~ ssList(X91) )
      & ( app(app(esk37_1(X91),cons(esk35_1(X91),esk38_1(X91))),cons(esk36_1(X91),esk39_1(X91))) = X91
        | duplicatefreeP(X91)
        | ~ ssList(X91) )
      & ( esk35_1(X91) = esk36_1(X91)
        | duplicatefreeP(X91)
        | ~ ssList(X91) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])])]) ).

cnf(c_0_44,negated_conjecture,
    ( app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0)) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

fof(c_0_45,plain,
    ! [X222,X223] :
      ( ~ ssList(X222)
      | ~ ssItem(X223)
      | cons(X223,X222) = app(cons(X223,nil),X222) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

cnf(c_0_46,plain,
    ( duplicatefreeP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

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

cnf(c_0_48,plain,
    ( ssItem(esk5_1(X1))
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_49,negated_conjecture,
    ( singletonP(esk50_0)
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_50,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_51,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_52,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_53,plain,
    ( ~ duplicatefreeP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(X6)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | X2 != X3
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_54,negated_conjecture,
    app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_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_30]),c_0_31]),c_0_23])]) ).

cnf(c_0_55,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_56,plain,
    ( duplicatefreeP(X1)
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_57,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_49,c_0_50]),c_0_31]),c_0_51])]) ).

cnf(c_0_58,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_52,c_0_18]) ).

cnf(c_0_59,plain,
    ( ~ duplicatefreeP(app(app(X1,cons(X2,X3)),cons(X2,X4)))
    | ~ ssList(app(app(X1,cons(X2,X3)),cons(X2,X4)))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_53])]) ).

cnf(c_0_60,negated_conjecture,
    app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,esk55_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_27]),c_0_23])]) ).

cnf(c_0_61,negated_conjecture,
    ( esk51_0 = nil
    | duplicatefreeP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).

cnf(c_0_62,negated_conjecture,
    ~ duplicatefreeP(esk50_0),
    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_59,c_0_60]),c_0_58]),c_0_27]),c_0_31]),c_0_37]),c_0_23])]) ).

fof(c_0_63,plain,
    ! [X197] :
      ( ( ~ segmentP(nil,X197)
        | nil = X197
        | ~ ssList(X197) )
      & ( nil != X197
        | segmentP(nil,X197)
        | ~ ssList(X197) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])])]) ).

cnf(c_0_64,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_65,negated_conjecture,
    esk51_0 = nil,
    inference(sr,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_66,plain,
    ( nil = X1
    | ~ segmentP(nil,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_67,negated_conjecture,
    segmentP(nil,esk50_0),
    inference(rw,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_68,negated_conjecture,
    esk50_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_58])]) ).

cnf(c_0_69,plain,
    duplicatefreeP(nil),
    inference(split_conjunct,[status(thm)],[ax72]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_68]),c_0_69])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC178+1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 03:47:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.93/0.59  # Version: 3.1.0
% 0.93/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.93/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.93/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.93/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.93/0.59  # Starting sh5l with 300s (1) cores
% 0.93/0.59  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 21656 completed with status 0
% 0.93/0.59  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.93/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.93/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.93/0.59  # No SInE strategy applied
% 0.93/0.59  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.93/0.59  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.93/0.59  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.93/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.93/0.59  # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.93/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.93/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 136s (1) cores
% 0.93/0.59  # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 21667 completed with status 0
% 0.93/0.59  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 0.93/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.93/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.93/0.59  # No SInE strategy applied
% 0.93/0.59  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.93/0.59  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.93/0.59  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.93/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.93/0.59  # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.93/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.93/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 136s (1) cores
% 0.93/0.59  # Preprocessing time       : 0.004 s
% 0.93/0.59  # Presaturation interreduction done
% 0.93/0.59  
% 0.93/0.59  # Proof found!
% 0.93/0.59  # SZS status Theorem
% 0.93/0.59  # SZS output start CNFRefutation
% See solution above
% 0.93/0.59  # Parsed axioms                        : 96
% 0.93/0.59  # Removed by relevancy pruning/SinE    : 0
% 0.93/0.59  # Initial clauses                      : 204
% 0.93/0.59  # Removed in clause preprocessing      : 2
% 0.93/0.59  # Initial clauses in saturation        : 202
% 0.93/0.59  # Processed clauses                    : 717
% 0.93/0.59  # ...of these trivial                  : 18
% 0.93/0.59  # ...subsumed                          : 94
% 0.93/0.59  # ...remaining for further processing  : 605
% 0.93/0.59  # Other redundant clauses eliminated   : 59
% 0.93/0.59  # Clauses deleted for lack of memory   : 0
% 0.93/0.59  # Backward-subsumed                    : 13
% 0.93/0.59  # Backward-rewritten                   : 159
% 0.93/0.59  # Generated clauses                    : 1377
% 0.93/0.59  # ...of the previous two non-redundant : 1178
% 0.93/0.59  # ...aggressively subsumed             : 0
% 0.93/0.59  # Contextual simplify-reflections      : 15
% 0.93/0.59  # Paramodulations                      : 1314
% 0.93/0.59  # Factorizations                       : 0
% 0.93/0.59  # NegExts                              : 0
% 0.93/0.59  # Equation resolutions                 : 64
% 0.93/0.59  # Disequality decompositions           : 0
% 0.93/0.59  # Total rewrite steps                  : 1136
% 0.93/0.59  # ...of those cached                   : 1086
% 0.93/0.59  # Propositional unsat checks           : 0
% 0.93/0.59  #    Propositional check models        : 0
% 0.93/0.59  #    Propositional check unsatisfiable : 0
% 0.93/0.59  #    Propositional clauses             : 0
% 0.93/0.59  #    Propositional clauses after purity: 0
% 0.93/0.59  #    Propositional unsat core size     : 0
% 0.93/0.59  #    Propositional preprocessing time  : 0.000
% 0.93/0.59  #    Propositional encoding time       : 0.000
% 0.93/0.59  #    Propositional solver time         : 0.000
% 0.93/0.59  #    Success case prop preproc time    : 0.000
% 0.93/0.59  #    Success case prop encoding time   : 0.000
% 0.93/0.59  #    Success case prop solver time     : 0.000
% 0.93/0.59  # Current number of processed clauses  : 213
% 0.93/0.59  #    Positive orientable unit clauses  : 23
% 0.93/0.59  #    Positive unorientable unit clauses: 0
% 0.93/0.59  #    Negative unit clauses             : 3
% 0.93/0.59  #    Non-unit-clauses                  : 187
% 0.93/0.59  # Current number of unprocessed clauses: 854
% 0.93/0.59  # ...number of literals in the above   : 4699
% 0.93/0.59  # Current number of archived formulas  : 0
% 0.93/0.59  # Current number of archived clauses   : 369
% 0.93/0.59  # Clause-clause subsumption calls (NU) : 23496
% 0.93/0.59  # Rec. Clause-clause subsumption calls : 8165
% 0.93/0.59  # Non-unit clause-clause subsumptions  : 120
% 0.93/0.59  # Unit Clause-clause subsumption calls : 325
% 0.93/0.59  # Rewrite failures with RHS unbound    : 0
% 0.93/0.59  # BW rewrite match attempts            : 54
% 0.93/0.59  # BW rewrite match successes           : 30
% 0.93/0.59  # Condensation attempts                : 0
% 0.93/0.59  # Condensation successes               : 0
% 0.93/0.59  # Termbank termtop insertions          : 45478
% 0.93/0.59  # Search garbage collected termcells   : 4307
% 0.93/0.59  
% 0.93/0.59  # -------------------------------------------------
% 0.93/0.59  # User time                : 0.084 s
% 0.93/0.59  # System time              : 0.008 s
% 0.93/0.59  # Total time               : 0.092 s
% 0.93/0.59  # Maximum resident set size: 2480 pages
% 0.93/0.59  
% 0.93/0.59  # -------------------------------------------------
% 0.93/0.59  # User time                : 0.392 s
% 0.93/0.59  # System time              : 0.026 s
% 0.93/0.59  # Total time               : 0.419 s
% 0.93/0.59  # Maximum resident set size: 1824 pages
% 0.93/0.59  % E---3.1 exiting
%------------------------------------------------------------------------------