TSTP Solution File: SWC111+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC111+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 20:26:45 EDT 2022

% Result   : Theorem 0.33s 24.52s
% Output   : CNFRefutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   71 (  16 unt;   0 def)
%            Number of atoms       :  287 (  72 equ)
%            Maximal formula atoms :   25 (   4 avg)
%            Number of connectives :  363 ( 147   ~; 148   |;  40   &)
%                                         (   3 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   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;   5 con; 0-2 aty)
%            Number of variables   :   84 (   0 sgn  45   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ segmentP(X4,X3)
                    | ~ totalorderedP(X3)
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X3,X5)
                        & segmentP(X4,X5)
                        & segmentP(X5,X3)
                        & totalorderedP(X5) )
                    | ( ( nil != X2
                        | nil = X1 )
                      & ( ~ neq(X2,nil)
                        | ( neq(X1,nil)
                          & segmentP(X2,X1) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).

fof(ax55,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).

fof(ax66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax66) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

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/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(ax20,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil = X1
        | ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ssItem(X3)
                & cons(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax57,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).

fof(ax21,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(ax67,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( totalorderedP(cons(X1,X2))
          <=> ( nil = X2
              | ( nil != X2
                & totalorderedP(X2)
                & leq(X1,hd(X2)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax67) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ segmentP(X4,X3)
                      | ~ totalorderedP(X3)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X3,X5)
                          & segmentP(X4,X5)
                          & segmentP(X5,X3)
                          & totalorderedP(X5) )
                      | ( ( nil != X2
                          | nil = X1 )
                        & ( ~ neq(X2,nil)
                          | ( neq(X1,nil)
                            & segmentP(X2,X1) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_15,negated_conjecture,
    ! [X10] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & segmentP(esk4_0,esk3_0)
      & totalorderedP(esk3_0)
      & ( ~ ssList(X10)
        | ~ neq(esk3_0,X10)
        | ~ segmentP(esk4_0,X10)
        | ~ segmentP(X10,esk3_0)
        | ~ totalorderedP(X10) )
      & ( neq(esk2_0,nil)
        | nil = esk2_0 )
      & ( ~ neq(esk1_0,nil)
        | ~ segmentP(esk2_0,esk1_0)
        | nil = esk2_0 )
      & ( neq(esk2_0,nil)
        | nil != esk1_0 )
      & ( ~ neq(esk1_0,nil)
        | ~ segmentP(esk2_0,esk1_0)
        | nil != esk1_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_14])])])])])])])]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ totalorderedP(X1)
    | ~ segmentP(X1,esk3_0)
    | ~ segmentP(esk4_0,X1)
    | ~ neq(esk3_0,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_19,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | segmentP(X2,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).

cnf(c_0_20,negated_conjecture,
    segmentP(esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ totalorderedP(X1)
    | ~ segmentP(X1,esk1_0)
    | ~ segmentP(esk2_0,X1)
    | ~ ssList(X1)
    | ~ neq(esk1_0,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]),c_0_18]) ).

cnf(c_0_22,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    segmentP(esk2_0,esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_18]),c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    ( nil = esk2_0
    | ~ segmentP(esk2_0,esk1_0)
    | ~ neq(esk1_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ totalorderedP(esk2_0)
    | ~ neq(esk1_0,esk2_0) ),
    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_27,negated_conjecture,
    ( esk2_0 = nil
    | ~ neq(esk1_0,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_23])]) ).

cnf(c_0_28,plain,
    totalorderedP(nil),
    inference(split_conjunct,[status(thm)],[ax66]) ).

fof(c_0_29,plain,
    ! [X3,X4] :
      ( ( ~ neq(X3,X4)
        | X3 != X4
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( X3 = X4
        | neq(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])])])]) ).

fof(c_0_30,plain,
    ! [X5,X6,X9,X10] :
      ( ( ssList(esk5_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ssList(esk6_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6)) = X5
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ~ ssList(X9)
        | ~ ssList(X10)
        | app(app(X9,X6),X10) != X5
        | segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])])])]) ).

fof(c_0_31,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(nil,X2) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_32,plain,
    ! [X4] :
      ( ( ssList(esk7_1(X4))
        | nil = X4
        | ~ ssList(X4) )
      & ( ssItem(esk8_1(X4))
        | nil = X4
        | ~ ssList(X4) )
      & ( cons(esk8_1(X4),esk7_1(X4)) = X4
        | nil = X4
        | ~ ssList(X4) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])])])]) ).

fof(c_0_33,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | cons(X4,X3) = app(cons(X4,nil),X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])])]) ).

cnf(c_0_34,negated_conjecture,
    ~ neq(esk1_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

cnf(c_0_35,plain,
    ( neq(X1,X2)
    | X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_37,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_38,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | segmentP(X2,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).

cnf(c_0_39,plain,
    ( segmentP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_40,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,plain,
    ( nil = X1
    | cons(esk8_1(X1),esk7_1(X1)) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    ( cons(X1,X2) = app(cons(X1,nil),X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,plain,
    ( nil = X1
    | ssItem(esk8_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_44,plain,
    ( nil = X1
    | ssList(esk7_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_45,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | nil != cons(X4,X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])])])]) ).

cnf(c_0_46,negated_conjecture,
    esk1_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37])]) ).

cnf(c_0_47,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_36])]) ).

cnf(c_0_49,plain,
    ( app(cons(esk8_1(X1),nil),esk7_1(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]) ).

cnf(c_0_50,plain,
    ( nil != cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_51,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(X2,nil) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ totalorderedP(X1)
    | ~ segmentP(esk2_0,X1)
    | ~ ssList(X1)
    | ~ neq(nil,X1) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_46]),c_0_46]),c_0_47]) ).

cnf(c_0_53,plain,
    ( nil = X1
    | segmentP(X1,cons(esk8_1(X1),nil))
    | ~ ssList(cons(esk8_1(X1),nil))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49])]),c_0_44]) ).

cnf(c_0_54,plain,
    ( app(cons(X1,nil),X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(pm,[status(thm)],[c_0_50,c_0_42]) ).

cnf(c_0_55,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

fof(c_0_56,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | ssList(cons(X4,X3)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])])]) ).

cnf(c_0_57,negated_conjecture,
    ( esk2_0 = nil
    | ~ totalorderedP(cons(esk8_1(esk2_0),nil))
    | ~ ssList(cons(esk8_1(esk2_0),nil))
    | ~ neq(nil,cons(esk8_1(esk2_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_24])]) ).

fof(c_0_58,plain,
    ! [X3,X4] :
      ( ( nil != X4
        | nil = X4
        | ~ totalorderedP(cons(X3,X4))
        | ~ ssList(X4)
        | ~ ssItem(X3) )
      & ( totalorderedP(X4)
        | nil = X4
        | ~ totalorderedP(cons(X3,X4))
        | ~ ssList(X4)
        | ~ ssItem(X3) )
      & ( leq(X3,hd(X4))
        | nil = X4
        | ~ totalorderedP(cons(X3,X4))
        | ~ ssList(X4)
        | ~ ssItem(X3) )
      & ( nil != X4
        | totalorderedP(cons(X3,X4))
        | ~ ssList(X4)
        | ~ ssItem(X3) )
      & ( nil = X4
        | ~ totalorderedP(X4)
        | ~ leq(X3,hd(X4))
        | totalorderedP(cons(X3,X4))
        | ~ ssList(X4)
        | ~ ssItem(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax67])])])])])]) ).

cnf(c_0_59,plain,
    ( cons(X1,nil) != nil
    | ~ ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_36])]) ).

cnf(c_0_60,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( cons(esk8_1(esk2_0),nil) = nil
    | esk2_0 = nil
    | ~ totalorderedP(cons(esk8_1(esk2_0),nil))
    | ~ ssList(cons(esk8_1(esk2_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_35]),c_0_36])]) ).

cnf(c_0_62,plain,
    ( totalorderedP(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | nil != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_63,plain,
    ( cons(X1,nil) != nil
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_36])]) ).

cnf(c_0_64,negated_conjecture,
    ( esk2_0 = nil
    | ~ ssList(cons(esk8_1(esk2_0),nil))
    | ~ ssItem(esk8_1(esk2_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_36])]),c_0_63]) ).

cnf(c_0_65,negated_conjecture,
    ( neq(esk2_0,nil)
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_66,negated_conjecture,
    ( esk2_0 = nil
    | ~ ssItem(esk8_1(esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60]),c_0_36])]) ).

cnf(c_0_67,negated_conjecture,
    neq(esk2_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_46])]) ).

cnf(c_0_68,negated_conjecture,
    esk2_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_43]),c_0_24])]) ).

cnf(c_0_69,negated_conjecture,
    ~ neq(nil,nil),
    inference(rw,[status(thm)],[c_0_34,c_0_46]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68]),c_0_69]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC111+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 12:02:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.32/23.40  eprover: CPU time limit exceeded, terminating
% 0.32/23.40  eprover: CPU time limit exceeded, terminating
% 0.32/23.40  eprover: CPU time limit exceeded, terminating
% 0.32/23.41  eprover: CPU time limit exceeded, terminating
% 0.33/24.52  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.33/24.52  
% 0.33/24.52  # Failure: Resource limit exceeded (time)
% 0.33/24.52  # OLD status Res
% 0.33/24.52  # Preprocessing time       : 0.025 s
% 0.33/24.52  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.33/24.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.33/24.52  # Preprocessing time       : 0.023 s
% 0.33/24.52  
% 0.33/24.52  # Proof found!
% 0.33/24.52  # SZS status Theorem
% 0.33/24.52  # SZS output start CNFRefutation
% See solution above
% 0.33/24.52  # Proof object total steps             : 71
% 0.33/24.52  # Proof object clause steps            : 44
% 0.33/24.52  # Proof object formula steps           : 27
% 0.33/24.52  # Proof object conjectures             : 26
% 0.33/24.52  # Proof object clause conjectures      : 23
% 0.33/24.52  # Proof object formula conjectures     : 3
% 0.33/24.52  # Proof object initial clauses used    : 23
% 0.33/24.52  # Proof object initial formulas used   : 14
% 0.33/24.52  # Proof object generating inferences   : 14
% 0.33/24.52  # Proof object simplifying inferences  : 44
% 0.33/24.52  # Training examples: 0 positive, 0 negative
% 0.33/24.52  # Parsed axioms                        : 96
% 0.33/24.52  # Removed by relevancy pruning/SinE    : 47
% 0.33/24.52  # Initial clauses                      : 89
% 0.33/24.52  # Removed in clause preprocessing      : 1
% 0.33/24.52  # Initial clauses in saturation        : 88
% 0.33/24.52  # Processed clauses                    : 472
% 0.33/24.52  # ...of these trivial                  : 14
% 0.33/24.52  # ...subsumed                          : 205
% 0.33/24.52  # ...remaining for further processing  : 253
% 0.33/24.52  # Other redundant clauses eliminated   : 30
% 0.33/24.52  # Clauses deleted for lack of memory   : 0
% 0.33/24.52  # Backward-subsumed                    : 14
% 0.33/24.52  # Backward-rewritten                   : 37
% 0.33/24.52  # Generated clauses                    : 1218
% 0.33/24.52  # ...of the previous two non-trivial   : 1062
% 0.33/24.52  # Contextual simplify-reflections      : 355
% 0.33/24.52  # Paramodulations                      : 1132
% 0.33/24.52  # Factorizations                       : 0
% 0.33/24.52  # Equation resolutions                 : 51
% 0.33/24.52  # Current number of processed clauses  : 199
% 0.33/24.52  #    Positive orientable unit clauses  : 14
% 0.33/24.52  #    Positive unorientable unit clauses: 0
% 0.33/24.52  #    Negative unit clauses             : 6
% 0.33/24.52  #    Non-unit-clauses                  : 179
% 0.33/24.52  # Current number of unprocessed clauses: 568
% 0.33/24.52  # ...number of literals in the above   : 3819
% 0.33/24.52  # Current number of archived formulas  : 0
% 0.33/24.52  # Current number of archived clauses   : 51
% 0.33/24.52  # Clause-clause subsumption calls (NU) : 19496
% 0.33/24.52  # Rec. Clause-clause subsumption calls : 3880
% 0.33/24.52  # Non-unit clause-clause subsumptions  : 581
% 0.33/24.52  # Unit Clause-clause subsumption calls : 621
% 0.33/24.52  # Rewrite failures with RHS unbound    : 0
% 0.33/24.52  # BW rewrite match attempts            : 10
% 0.33/24.52  # BW rewrite match successes           : 10
% 0.33/24.52  # Condensation attempts                : 0
% 0.33/24.52  # Condensation successes               : 0
% 0.33/24.52  # Termbank termtop insertions          : 26763
% 0.33/24.52  
% 0.33/24.52  # -------------------------------------------------
% 0.33/24.52  # User time                : 0.099 s
% 0.33/24.52  # System time              : 0.005 s
% 0.33/24.52  # Total time               : 0.104 s
% 0.33/24.52  # Maximum resident set size: 4284 pages
% 0.33/46.41  eprover: CPU time limit exceeded, terminating
% 0.33/46.42  eprover: CPU time limit exceeded, terminating
% 0.33/46.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.43  eprover: No such file or directory
% 0.33/46.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.43  eprover: No such file or directory
% 0.33/46.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.43  eprover: No such file or directory
% 0.33/46.44  eprover: CPU time limit exceeded, terminating
% 0.33/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.44  eprover: No such file or directory
% 0.33/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.44  eprover: No such file or directory
% 0.33/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.44  eprover: No such file or directory
% 0.33/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.44  eprover: No such file or directory
% 0.33/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.45  eprover: No such file or directory
% 0.33/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.45  eprover: No such file or directory
% 0.33/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.45  eprover: No such file or directory
% 0.33/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.45  eprover: No such file or directory
% 0.33/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.45  eprover: No such file or directory
% 0.33/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.45  eprover: No such file or directory
% 0.33/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.46  eprover: No such file or directory
% 0.33/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.46  eprover: No such file or directory
% 0.33/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.46  eprover: No such file or directory
% 0.33/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.46  eprover: No such file or directory
% 0.33/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.46  eprover: No such file or directory
% 0.33/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.46  eprover: No such file or directory
% 0.33/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.46  eprover: No such file or directory
% 0.33/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.47  eprover: No such file or directory
% 0.33/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.47  eprover: No such file or directory
% 0.33/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.47  eprover: No such file or directory
% 0.33/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.47  eprover: No such file or directory
% 0.33/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.47  eprover: No such file or directory
% 0.33/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.47  eprover: No such file or directory
% 0.33/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.48  eprover: No such file or directory
% 0.33/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.48  eprover: No such file or directory
% 0.33/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.48  eprover: No such file or directory
% 0.33/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/46.49  eprover: No such file or directory
%------------------------------------------------------------------------------