TSTP Solution File: SWC067+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC067+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 04:22:58 EDT 2024

% Result   : Theorem 0.18s 0.51s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   65 (  15 unt;   0 def)
%            Number of atoms       :  292 ( 105 equ)
%            Maximal formula atoms :   40 (   4 avg)
%            Number of connectives :  369 ( 142   ~; 139   |;  59   &)
%                                         (   4 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   90 (   0 sgn  47   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X5,X3),X6) != X4
                              | ~ strictorderedP(X3)
                              | ? [X7] :
                                  ( ssItem(X7)
                                  & ? [X8] :
                                      ( ssList(X8)
                                      & app(X8,cons(X7,nil)) = X5
                                      & ? [X9] :
                                          ( ssItem(X9)
                                          & ? [X10] :
                                              ( ssList(X10)
                                              & app(cons(X9,nil),X10) = X3
                                              & lt(X7,X9) ) ) ) )
                              | ? [X11] :
                                  ( ssItem(X11)
                                  & ? [X12] :
                                      ( ssList(X12)
                                      & app(cons(X11,nil),X12) = X6
                                      & ? [X13] :
                                          ( ssItem(X13)
                                          & ? [X14] :
                                              ( ssList(X14)
                                              & app(X14,cons(X13,nil)) = X3
                                              & lt(X13,X11) ) ) ) ) ) ) )
                    | ( nil != X4
                      & nil = X3 )
                    | ( ( nil != X2
                        | nil = X1 )
                      & ( ~ neq(X2,nil)
                        | ? [X15] :
                            ( ssList(X15)
                            & neq(X15,nil)
                            & segmentP(X2,X15)
                            & segmentP(X1,X15) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

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

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

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

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

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

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

fof(c_0_9,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ! [X5] :
                          ( ssList(X5)
                         => ! [X6] :
                              ( ssList(X6)
                             => ( app(app(X5,X3),X6) != X4
                                | ~ strictorderedP(X3)
                                | ? [X7] :
                                    ( ssItem(X7)
                                    & ? [X8] :
                                        ( ssList(X8)
                                        & app(X8,cons(X7,nil)) = X5
                                        & ? [X9] :
                                            ( ssItem(X9)
                                            & ? [X10] :
                                                ( ssList(X10)
                                                & app(cons(X9,nil),X10) = X3
                                                & lt(X7,X9) ) ) ) )
                                | ? [X11] :
                                    ( ssItem(X11)
                                    & ? [X12] :
                                        ( ssList(X12)
                                        & app(cons(X11,nil),X12) = X6
                                        & ? [X13] :
                                            ( ssItem(X13)
                                            & ? [X14] :
                                                ( ssList(X14)
                                                & app(X14,cons(X13,nil)) = X3
                                                & lt(X13,X11) ) ) ) ) ) ) )
                      | ( nil != X4
                        & nil = X3 )
                      | ( ( nil != X2
                          | nil = X1 )
                        & ( ~ neq(X2,nil)
                          | ? [X15] :
                              ( ssList(X15)
                              & neq(X15,nil)
                              & segmentP(X2,X15)
                              & segmentP(X1,X15) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_10,negated_conjecture,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ssList(esk5_0)
      & ssList(esk6_0)
      & app(app(esk5_0,esk3_0),esk6_0) = esk4_0
      & strictorderedP(esk3_0)
      & ( ~ ssItem(X22)
        | ~ ssList(X23)
        | app(X23,cons(X22,nil)) != esk5_0
        | ~ ssItem(X24)
        | ~ ssList(X25)
        | app(cons(X24,nil),X25) != esk3_0
        | ~ lt(X22,X24) )
      & ( ~ ssItem(X26)
        | ~ ssList(X27)
        | app(cons(X26,nil),X27) != esk6_0
        | ~ ssItem(X28)
        | ~ ssList(X29)
        | app(X29,cons(X28,nil)) != esk3_0
        | ~ lt(X28,X26) )
      & ( nil = esk4_0
        | nil != esk3_0 )
      & ( neq(esk2_0,nil)
        | nil = esk2_0 )
      & ( ~ ssList(X30)
        | ~ neq(X30,nil)
        | ~ segmentP(esk2_0,X30)
        | ~ segmentP(esk1_0,X30)
        | nil = esk2_0 )
      & ( neq(esk2_0,nil)
        | nil != esk1_0 )
      & ( ~ ssList(X30)
        | ~ neq(X30,nil)
        | ~ segmentP(esk2_0,X30)
        | ~ segmentP(esk1_0,X30)
        | nil != esk1_0 ) ),
    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_9])])])])])]) ).

fof(c_0_11,plain,
    ! [X88,X89] :
      ( ( nil = X89
        | nil != app(X88,X89)
        | ~ ssList(X89)
        | ~ ssList(X88) )
      & ( nil = X88
        | nil != app(X88,X89)
        | ~ ssList(X89)
        | ~ ssList(X88) )
      & ( nil != X89
        | nil != X88
        | nil = app(X88,X89)
        | ~ ssList(X89)
        | ~ ssList(X88) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])])]) ).

cnf(c_0_12,negated_conjecture,
    app(app(esk5_0,esk3_0),esk6_0) = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( nil = X1
    | nil != app(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    app(app(esk5_0,esk3_0),esk6_0) = esk2_0,
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    ssList(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_17,plain,
    ! [X71,X72] :
      ( ~ ssList(X71)
      | ~ ssList(X72)
      | ssList(app(X71,X72)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

cnf(c_0_18,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,negated_conjecture,
    ( esk6_0 = nil
    | esk2_0 != nil
    | ~ ssList(app(esk5_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

cnf(c_0_21,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    ssList(esk3_0),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    ssList(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_24,plain,
    ! [X90] :
      ( ~ ssList(X90)
      | app(X90,nil) = X90 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])]) ).

cnf(c_0_25,negated_conjecture,
    ( esk6_0 = nil
    | esk2_0 != nil ),
    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_26,plain,
    ( nil = X1
    | nil != app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_27,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    ( app(app(esk5_0,esk3_0),nil) = esk2_0
    | esk2_0 != nil ),
    inference(spm,[status(thm)],[c_0_15,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( app(esk5_0,esk3_0) = nil
    | esk2_0 != nil
    | ~ ssList(app(esk5_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_15]),c_0_16])]) ).

cnf(c_0_30,negated_conjecture,
    ( app(esk5_0,esk3_0) = esk2_0
    | esk2_0 != nil
    | ~ ssList(app(esk5_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( app(esk5_0,esk3_0) = nil
    | esk2_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_21]),c_0_22]),c_0_23])]) ).

fof(c_0_32,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk1_0,X1)
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_34,negated_conjecture,
    ( neq(esk2_0,nil)
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_35,plain,
    ! [X76] :
      ( ~ ssList(X76)
      | app(nil,X76) = X76 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).

cnf(c_0_36,negated_conjecture,
    ( app(esk5_0,esk3_0) = esk2_0
    | esk2_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_37,negated_conjecture,
    ( esk5_0 = nil
    | esk2_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_31]),c_0_22]),c_0_23])]) ).

fof(c_0_38,plain,
    ! [X51,X52] :
      ( ( ~ neq(X51,X52)
        | X51 != X52
        | ~ ssList(X52)
        | ~ ssList(X51) )
      & ( X51 = X52
        | neq(X51,X52)
        | ~ ssList(X52)
        | ~ ssList(X51) ) ),
    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_32])])])])]) ).

fof(c_0_39,plain,
    ! [X31,X32,X35,X36] :
      ( ( ssList(esk7_2(X31,X32))
        | ~ segmentP(X31,X32)
        | ~ ssList(X32)
        | ~ ssList(X31) )
      & ( ssList(esk8_2(X31,X32))
        | ~ segmentP(X31,X32)
        | ~ ssList(X32)
        | ~ ssList(X31) )
      & ( app(app(esk7_2(X31,X32),X32),esk8_2(X31,X32)) = X31
        | ~ segmentP(X31,X32)
        | ~ ssList(X32)
        | ~ ssList(X31) )
      & ( ~ ssList(X35)
        | ~ ssList(X36)
        | app(app(X35,X32),X36) != X31
        | segmentP(X31,X32)
        | ~ ssList(X32)
        | ~ ssList(X31) ) ),
    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)],[ax7])])])])])]) ).

cnf(c_0_40,negated_conjecture,
    ( esk3_0 != nil
    | ~ segmentP(esk3_0,X1)
    | ~ segmentP(esk2_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_19]),c_0_19]) ).

cnf(c_0_41,negated_conjecture,
    ( neq(esk2_0,nil)
    | esk3_0 != nil ),
    inference(rw,[status(thm)],[c_0_34,c_0_19]) ).

cnf(c_0_42,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_43,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_44,negated_conjecture,
    ( app(nil,esk3_0) = esk2_0
    | esk2_0 != nil ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_45,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_46,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_47,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_39]) ).

cnf(c_0_48,negated_conjecture,
    ( esk3_0 != nil
    | ~ segmentP(esk3_0,esk2_0)
    | ~ segmentP(esk2_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).

cnf(c_0_49,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk2_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_22])]) ).

fof(c_0_50,plain,
    ! [X42] :
      ( ~ ssList(X42)
      | segmentP(X42,X42) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])])]) ).

cnf(c_0_51,negated_conjecture,
    ( nil = esk2_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_52,plain,
    ( X1 = nil
    | neq(X1,nil)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,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_47]) ).

cnf(c_0_54,negated_conjecture,
    ( esk2_0 != nil
    | ~ segmentP(esk2_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_55,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    ( esk2_0 = nil
    | ~ segmentP(esk3_0,X1)
    | ~ segmentP(esk2_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[c_0_51,c_0_19]) ).

cnf(c_0_57,negated_conjecture,
    ( esk3_0 = nil
    | neq(esk3_0,nil) ),
    inference(spm,[status(thm)],[c_0_52,c_0_22]) ).

cnf(c_0_58,negated_conjecture,
    segmentP(esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_15]),c_0_42]),c_0_22]),c_0_16]),c_0_23])]) ).

cnf(c_0_59,negated_conjecture,
    esk2_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_42])]) ).

cnf(c_0_60,negated_conjecture,
    ( nil = esk4_0
    | nil != esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_61,negated_conjecture,
    ( esk3_0 = nil
    | ~ segmentP(esk3_0,esk3_0) ),
    inference(sr,[status(thm)],[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_22])]),c_0_59]) ).

cnf(c_0_62,negated_conjecture,
    ( esk2_0 = nil
    | esk3_0 != nil ),
    inference(rw,[status(thm)],[c_0_60,c_0_13]) ).

cnf(c_0_63,negated_conjecture,
    esk3_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_55]),c_0_22])]) ).

cnf(c_0_64,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]),c_0_59]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC067+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n028.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    : 300
% 0.12/0.33  % DateTime   : Sun May 19 03:19:52 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51  # Version: 3.1.0
% 0.18/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.51  # Starting sh5l with 300s (1) cores
% 0.18/0.51  # new_bool_3 with pid 1412 completed with status 0
% 0.18/0.51  # Result found by new_bool_3
% 0.18/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.51  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.18/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.18/0.51  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1415 completed with status 0
% 0.18/0.51  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.51  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.18/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.18/0.51  # Preprocessing time       : 0.003 s
% 0.18/0.51  # Presaturation interreduction done
% 0.18/0.51  
% 0.18/0.51  # Proof found!
% 0.18/0.51  # SZS status Theorem
% 0.18/0.51  # SZS output start CNFRefutation
% See solution above
% 0.18/0.52  # Parsed axioms                        : 96
% 0.18/0.52  # Removed by relevancy pruning/SinE    : 47
% 0.18/0.52  # Initial clauses                      : 93
% 0.18/0.52  # Removed in clause preprocessing      : 1
% 0.18/0.52  # Initial clauses in saturation        : 92
% 0.18/0.52  # Processed clauses                    : 322
% 0.18/0.52  # ...of these trivial                  : 2
% 0.18/0.52  # ...subsumed                          : 28
% 0.18/0.52  # ...remaining for further processing  : 292
% 0.18/0.52  # Other redundant clauses eliminated   : 15
% 0.18/0.52  # Clauses deleted for lack of memory   : 0
% 0.18/0.52  # Backward-subsumed                    : 26
% 0.18/0.52  # Backward-rewritten                   : 32
% 0.18/0.52  # Generated clauses                    : 1089
% 0.18/0.52  # ...of the previous two non-redundant : 1010
% 0.18/0.52  # ...aggressively subsumed             : 0
% 0.18/0.52  # Contextual simplify-reflections      : 0
% 0.18/0.52  # Paramodulations                      : 1068
% 0.18/0.52  # Factorizations                       : 0
% 0.18/0.52  # NegExts                              : 0
% 0.18/0.52  # Equation resolutions                 : 19
% 0.18/0.52  # Disequality decompositions           : 0
% 0.18/0.52  # Total rewrite steps                  : 464
% 0.18/0.52  # ...of those cached                   : 448
% 0.18/0.52  # Propositional unsat checks           : 0
% 0.18/0.52  #    Propositional check models        : 0
% 0.18/0.52  #    Propositional check unsatisfiable : 0
% 0.18/0.52  #    Propositional clauses             : 0
% 0.18/0.52  #    Propositional clauses after purity: 0
% 0.18/0.52  #    Propositional unsat core size     : 0
% 0.18/0.52  #    Propositional preprocessing time  : 0.000
% 0.18/0.52  #    Propositional encoding time       : 0.000
% 0.18/0.52  #    Propositional solver time         : 0.000
% 0.18/0.52  #    Success case prop preproc time    : 0.000
% 0.18/0.52  #    Success case prop encoding time   : 0.000
% 0.18/0.52  #    Success case prop solver time     : 0.000
% 0.18/0.52  # Current number of processed clauses  : 136
% 0.18/0.52  #    Positive orientable unit clauses  : 24
% 0.18/0.52  #    Positive unorientable unit clauses: 0
% 0.18/0.52  #    Negative unit clauses             : 3
% 0.18/0.52  #    Non-unit-clauses                  : 109
% 0.18/0.52  # Current number of unprocessed clauses: 824
% 0.18/0.52  # ...number of literals in the above   : 3092
% 0.18/0.52  # Current number of archived formulas  : 0
% 0.18/0.52  # Current number of archived clauses   : 148
% 0.18/0.52  # Clause-clause subsumption calls (NU) : 3962
% 0.18/0.52  # Rec. Clause-clause subsumption calls : 1719
% 0.18/0.52  # Non-unit clause-clause subsumptions  : 30
% 0.18/0.52  # Unit Clause-clause subsumption calls : 146
% 0.18/0.52  # Rewrite failures with RHS unbound    : 0
% 0.18/0.52  # BW rewrite match attempts            : 2
% 0.18/0.52  # BW rewrite match successes           : 2
% 0.18/0.52  # Condensation attempts                : 0
% 0.18/0.52  # Condensation successes               : 0
% 0.18/0.52  # Termbank termtop insertions          : 23005
% 0.18/0.52  # Search garbage collected termcells   : 2450
% 0.18/0.52  
% 0.18/0.52  # -------------------------------------------------
% 0.18/0.52  # User time                : 0.032 s
% 0.18/0.52  # System time              : 0.006 s
% 0.18/0.52  # Total time               : 0.038 s
% 0.18/0.52  # Maximum resident set size: 2164 pages
% 0.18/0.52  
% 0.18/0.52  # -------------------------------------------------
% 0.18/0.52  # User time                : 0.035 s
% 0.18/0.52  # System time              : 0.009 s
% 0.18/0.52  # Total time               : 0.044 s
% 0.18/0.52  # Maximum resident set size: 1852 pages
% 0.18/0.52  % E---3.1 exiting
% 0.18/0.52  % E exiting
%------------------------------------------------------------------------------