TSTP Solution File: SWC093+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC093+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 19:41:27 EDT 2023

% Result   : Theorem 24.76s 3.57s
% Output   : CNFRefutation 24.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   72 (  21 unt;   0 def)
%            Number of atoms       :  268 (  46 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  335 ( 139   ~; 129   |;  33   &)
%                                         (   3 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :  102 (   0 sgn;  55   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ neq(X2,nil)
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X5,nil)
                        & segmentP(X2,X5)
                        & segmentP(X1,X5) )
                    | ( nil != X3
                      & nil = X4 )
                    | ( ! [X6] :
                          ( ssItem(X6)
                         => ( cons(X6,nil) != X3
                            | ~ memberP(X4,X6) ) )
                      & neq(X4,nil) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ShV9aq4Oqc/E---3.1_4972.p',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/sandbox2/tmp/tmp.ShV9aq4Oqc/E---3.1_4972.p',ax7) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.ShV9aq4Oqc/E---3.1_4972.p',ax28) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ShV9aq4Oqc/E---3.1_4972.p',ax26) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.ShV9aq4Oqc/E---3.1_4972.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.ShV9aq4Oqc/E---3.1_4972.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.ShV9aq4Oqc/E---3.1_4972.p',ax53) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.ShV9aq4Oqc/E---3.1_4972.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.ShV9aq4Oqc/E---3.1_4972.p',ax81) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ShV9aq4Oqc/E---3.1_4972.p',ax16) ).

fof(ax55,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ShV9aq4Oqc/E---3.1_4972.p',ax55) ).

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ShV9aq4Oqc/E---3.1_4972.p',ax18) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ShV9aq4Oqc/E---3.1_4972.p',ax15) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ neq(X2,nil)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X5,nil)
                          & segmentP(X2,X5)
                          & segmentP(X1,X5) )
                      | ( nil != X3
                        & nil = X4 )
                      | ( ! [X6] :
                            ( ssItem(X6)
                           => ( cons(X6,nil) != X3
                              | ~ memberP(X4,X6) ) )
                        & neq(X4,nil) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_14,negated_conjecture,
    ! [X11] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & neq(esk2_0,nil)
      & ( ~ ssList(X11)
        | ~ neq(X11,nil)
        | ~ segmentP(esk2_0,X11)
        | ~ segmentP(esk1_0,X11) )
      & ( nil = esk3_0
        | nil != esk4_0 )
      & ( ssItem(esk5_0)
        | ~ neq(esk4_0,nil) )
      & ( cons(esk5_0,nil) = esk3_0
        | ~ neq(esk4_0,nil) )
      & ( memberP(esk4_0,esk5_0)
        | ~ neq(esk4_0,nil) ) ),
    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_13])])])])]) ).

fof(c_0_15,plain,
    ! [X66,X67,X70,X71] :
      ( ( ssList(esk12_2(X66,X67))
        | ~ segmentP(X66,X67)
        | ~ ssList(X67)
        | ~ ssList(X66) )
      & ( ssList(esk13_2(X66,X67))
        | ~ segmentP(X66,X67)
        | ~ ssList(X67)
        | ~ ssList(X66) )
      & ( app(app(esk12_2(X66,X67),X67),esk13_2(X66,X67)) = X66
        | ~ segmentP(X66,X67)
        | ~ ssList(X67)
        | ~ ssList(X66) )
      & ( ~ ssList(X70)
        | ~ ssList(X71)
        | app(app(X70,X67),X71) != X66
        | segmentP(X66,X67)
        | ~ ssList(X67)
        | ~ ssList(X66) ) ),
    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_16,negated_conjecture,
    neq(esk2_0,nil),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,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_15]) ).

fof(c_0_19,plain,
    ! [X22] :
      ( ~ ssList(X22)
      | app(nil,X22) = X22 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_20,plain,
    ! [X84,X85] :
      ( ~ ssList(X84)
      | ~ ssList(X85)
      | ssList(app(X84,X85)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(c_0_21,plain,
    ! [X27] :
      ( ~ ssList(X27)
      | app(X27,nil) = X27 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

fof(c_0_22,plain,
    ! [X28,X29,X32,X33] :
      ( ( ssList(esk8_2(X28,X29))
        | ~ memberP(X28,X29)
        | ~ ssItem(X29)
        | ~ ssList(X28) )
      & ( ssList(esk9_2(X28,X29))
        | ~ memberP(X28,X29)
        | ~ ssItem(X29)
        | ~ ssList(X28) )
      & ( app(esk8_2(X28,X29),cons(X29,esk9_2(X28,X29))) = X28
        | ~ memberP(X28,X29)
        | ~ ssItem(X29)
        | ~ ssList(X28) )
      & ( ~ ssList(X32)
        | ~ ssList(X33)
        | app(X32,cons(X29,X33)) != X28
        | memberP(X28,X29)
        | ~ ssItem(X29)
        | ~ ssList(X28) ) ),
    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_23,negated_conjecture,
    ( memberP(esk4_0,esk5_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,negated_conjecture,
    neq(esk4_0,nil),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,negated_conjecture,
    ( ssItem(esk5_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_27,plain,
    ! [X72,X73,X74] :
      ( ~ ssList(X72)
      | ~ ssList(X73)
      | ~ ssList(X74)
      | ~ segmentP(X72,X73)
      | ~ segmentP(X73,X74)
      | segmentP(X72,X74) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).

cnf(c_0_28,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_18]) ).

cnf(c_0_29,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_30,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_31,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_32,plain,
    ! [X23,X24] :
      ( ~ ssList(X23)
      | ~ ssItem(X24)
      | cons(X24,X23) = app(cons(X24,nil),X23) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

cnf(c_0_33,negated_conjecture,
    ( cons(esk5_0,nil) = esk3_0
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_34,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_35,plain,
    ( app(esk8_2(X1,X2),cons(X2,esk9_2(X1,X2))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_36,negated_conjecture,
    memberP(esk4_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_37,negated_conjecture,
    ssList(esk4_0),
    inference(rw,[status(thm)],[c_0_25,c_0_17]) ).

cnf(c_0_38,negated_conjecture,
    ssItem(esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_24])]) ).

cnf(c_0_39,plain,
    ( ssList(esk8_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_40,plain,
    ( segmentP(X1,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ segmentP(X1,X2)
    | ~ segmentP(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_41,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_28,c_0_29]),c_0_30])]),c_0_31]) ).

cnf(c_0_42,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_43,negated_conjecture,
    cons(esk5_0,nil) = esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_24])]) ).

cnf(c_0_44,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_45,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_46,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_28,c_0_34]),c_0_30])]),c_0_31]) ).

cnf(c_0_47,negated_conjecture,
    app(esk8_2(esk4_0,esk5_0),cons(esk5_0,esk9_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_35,c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_48,negated_conjecture,
    ssList(esk8_2(esk4_0,esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_37]),c_0_38])]) ).

fof(c_0_49,plain,
    ! [X41,X42] :
      ( ~ ssList(X41)
      | ~ ssItem(X42)
      | ssList(cons(X42,X41)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

cnf(c_0_50,plain,
    ( ssList(esk9_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_52,plain,
    ! [X77] :
      ( ~ ssList(X77)
      | segmentP(X77,X77) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).

cnf(c_0_53,plain,
    ( segmentP(X1,X2)
    | ~ segmentP(X1,app(X2,X3))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_31]) ).

cnf(c_0_54,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_42,c_0_43]),c_0_38])]) ).

cnf(c_0_55,negated_conjecture,
    ssList(esk3_0),
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_56,negated_conjecture,
    ( segmentP(esk4_0,cons(esk5_0,esk9_2(esk4_0,esk5_0)))
    | ~ ssList(cons(esk5_0,esk9_2(esk4_0,esk5_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).

cnf(c_0_57,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_58,negated_conjecture,
    ssList(esk9_2(esk4_0,esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ segmentP(esk3_0,X1)
    | ~ segmentP(esk4_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_45]),c_0_17]) ).

cnf(c_0_60,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_61,negated_conjecture,
    ( segmentP(X1,esk3_0)
    | ~ segmentP(X1,cons(esk5_0,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_62,negated_conjecture,
    segmentP(esk4_0,cons(esk5_0,esk9_2(esk4_0,esk5_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_38])]) ).

fof(c_0_63,plain,
    ! [X43,X44] :
      ( ~ ssList(X43)
      | ~ ssItem(X44)
      | cons(X44,X43) != X43 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ segmentP(esk4_0,esk3_0)
    | ~ neq(esk3_0,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_55])]) ).

cnf(c_0_65,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_61,c_0_62]),c_0_37]),c_0_58])]) ).

fof(c_0_66,plain,
    ! [X15,X16] :
      ( ( ~ neq(X15,X16)
        | X15 != X16
        | ~ ssList(X16)
        | ~ ssList(X15) )
      & ( X15 = X16
        | neq(X15,X16)
        | ~ ssList(X16)
        | ~ ssList(X15) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

cnf(c_0_67,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | cons(X2,X1) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_68,negated_conjecture,
    ~ neq(esk3_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).

cnf(c_0_69,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    esk3_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_43]),c_0_30]),c_0_38])]) ).

cnf(c_0_71,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_30]),c_0_55])]),c_0_70]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SWC093+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n005.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 01:45:49 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  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.ShV9aq4Oqc/E---3.1_4972.p
% 24.76/3.57  # Version: 3.1pre001
% 24.76/3.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 24.76/3.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.76/3.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 24.76/3.57  # Starting new_bool_3 with 300s (1) cores
% 24.76/3.57  # Starting new_bool_1 with 300s (1) cores
% 24.76/3.57  # Starting sh5l with 300s (1) cores
% 24.76/3.57  # sh5l with pid 5052 completed with status 0
% 24.76/3.57  # Result found by sh5l
% 24.76/3.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 24.76/3.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.76/3.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 24.76/3.57  # Starting new_bool_3 with 300s (1) cores
% 24.76/3.57  # Starting new_bool_1 with 300s (1) cores
% 24.76/3.57  # Starting sh5l with 300s (1) cores
% 24.76/3.57  # SinE strategy is gf500_gu_R04_F100_L20000
% 24.76/3.57  # Search class: FGHSF-FSLM21-MFFFFFNN
% 24.76/3.57  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 24.76/3.57  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 24.76/3.57  # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 5055 completed with status 0
% 24.76/3.57  # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 24.76/3.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 24.76/3.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.76/3.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 24.76/3.57  # Starting new_bool_3 with 300s (1) cores
% 24.76/3.57  # Starting new_bool_1 with 300s (1) cores
% 24.76/3.57  # Starting sh5l with 300s (1) cores
% 24.76/3.57  # SinE strategy is gf500_gu_R04_F100_L20000
% 24.76/3.57  # Search class: FGHSF-FSLM21-MFFFFFNN
% 24.76/3.57  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 24.76/3.57  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 24.76/3.57  # Preprocessing time       : 0.003 s
% 24.76/3.57  # Presaturation interreduction done
% 24.76/3.57  
% 24.76/3.57  # Proof found!
% 24.76/3.57  # SZS status Theorem
% 24.76/3.57  # SZS output start CNFRefutation
% See solution above
% 24.76/3.57  # Parsed axioms                        : 96
% 24.76/3.57  # Removed by relevancy pruning/SinE    : 8
% 24.76/3.57  # Initial clauses                      : 179
% 24.76/3.57  # Removed in clause preprocessing      : 2
% 24.76/3.57  # Initial clauses in saturation        : 177
% 24.76/3.57  # Processed clauses                    : 17437
% 24.76/3.57  # ...of these trivial                  : 185
% 24.76/3.57  # ...subsumed                          : 13129
% 24.76/3.57  # ...remaining for further processing  : 4123
% 24.76/3.57  # Other redundant clauses eliminated   : 438
% 24.76/3.57  # Clauses deleted for lack of memory   : 0
% 24.76/3.57  # Backward-subsumed                    : 172
% 24.76/3.57  # Backward-rewritten                   : 462
% 24.76/3.57  # Generated clauses                    : 104102
% 24.76/3.57  # ...of the previous two non-redundant : 92961
% 24.76/3.57  # ...aggressively subsumed             : 0
% 24.76/3.57  # Contextual simplify-reflections      : 1299
% 24.76/3.57  # Paramodulations                      : 103642
% 24.76/3.57  # Factorizations                       : 4
% 24.76/3.57  # NegExts                              : 0
% 24.76/3.57  # Equation resolutions                 : 457
% 24.76/3.57  # Total rewrite steps                  : 123725
% 24.76/3.57  # Propositional unsat checks           : 0
% 24.76/3.57  #    Propositional check models        : 0
% 24.76/3.57  #    Propositional check unsatisfiable : 0
% 24.76/3.57  #    Propositional clauses             : 0
% 24.76/3.57  #    Propositional clauses after purity: 0
% 24.76/3.57  #    Propositional unsat core size     : 0
% 24.76/3.57  #    Propositional preprocessing time  : 0.000
% 24.76/3.57  #    Propositional encoding time       : 0.000
% 24.76/3.57  #    Propositional solver time         : 0.000
% 24.76/3.57  #    Success case prop preproc time    : 0.000
% 24.76/3.57  #    Success case prop encoding time   : 0.000
% 24.76/3.57  #    Success case prop solver time     : 0.000
% 24.76/3.57  # Current number of processed clauses  : 3298
% 24.76/3.57  #    Positive orientable unit clauses  : 584
% 24.76/3.57  #    Positive unorientable unit clauses: 0
% 24.76/3.57  #    Negative unit clauses             : 469
% 24.76/3.57  #    Non-unit-clauses                  : 2245
% 24.76/3.57  # Current number of unprocessed clauses: 74941
% 24.76/3.57  # ...number of literals in the above   : 470212
% 24.76/3.57  # Current number of archived formulas  : 0
% 24.76/3.57  # Current number of archived clauses   : 805
% 24.76/3.57  # Clause-clause subsumption calls (NU) : 1455269
% 24.76/3.57  # Rec. Clause-clause subsumption calls : 283437
% 24.76/3.57  # Non-unit clause-clause subsumptions  : 7715
% 24.76/3.57  # Unit Clause-clause subsumption calls : 82092
% 24.76/3.57  # Rewrite failures with RHS unbound    : 0
% 24.76/3.57  # BW rewrite match attempts            : 1827
% 24.76/3.57  # BW rewrite match successes           : 117
% 24.76/3.57  # Condensation attempts                : 0
% 24.76/3.57  # Condensation successes               : 0
% 24.76/3.57  # Termbank termtop insertions          : 2723479
% 24.76/3.57  
% 24.76/3.57  # -------------------------------------------------
% 24.76/3.57  # User time                : 2.982 s
% 24.76/3.57  # System time              : 0.078 s
% 24.76/3.57  # Total time               : 3.060 s
% 24.76/3.57  # Maximum resident set size: 2444 pages
% 24.76/3.57  
% 24.76/3.57  # -------------------------------------------------
% 24.76/3.57  # User time                : 2.985 s
% 24.76/3.57  # System time              : 0.080 s
% 24.76/3.57  # Total time               : 3.065 s
% 24.76/3.57  # Maximum resident set size: 1800 pages
% 24.76/3.57  % E---3.1 exiting
%------------------------------------------------------------------------------