↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC067+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:42:51 PM UTC 2026

% Result   : Theorem 0.15s 0.47s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   62 (  14 unt;   0 def)
%            Number of atoms       :  304 ( 107 equ)
%            Maximal formula atoms :   40 (   4 avg)
%            Number of connectives :  380 ( 138   ~; 134   |;  71   &)
%                                         (   3 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  103 (   0 sgn  55   !;  27   ?)

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

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X1
              & nil = X2 ) ) ) ),
    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(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

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

fof(ax56,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( segmentP(X1,X2)
                   => segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).

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

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

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ( ( ? [X15] :
                              ( segmentP(X1,X15)
                              & segmentP(X2,X15)
                              & neq(X15,nil)
                              & ssList(X15) )
                          | ~ neq(X2,nil) )
                        & ( nil = X1
                          | nil != X2 ) )
                      | ( nil = X3
                        & nil != X4 )
                      | ! [X5] :
                          ( ssList(X5)
                         => ! [X6] :
                              ( ssList(X6)
                             => ( ? [X11] :
                                    ( ? [X12] :
                                        ( ? [X13] :
                                            ( ? [X14] :
                                                ( lt(X13,X11)
                                                & app(X14,cons(X13,nil)) = X3
                                                & ssList(X14) )
                                            & ssItem(X13) )
                                        & app(cons(X11,nil),X12) = X6
                                        & ssList(X12) )
                                    & ssItem(X11) )
                                | ? [X7] :
                                    ( ? [X8] :
                                        ( ? [X9] :
                                            ( ? [X10] :
                                                ( lt(X7,X9)
                                                & app(cons(X9,nil),X10) = X3
                                                & ssList(X10) )
                                            & ssItem(X9) )
                                        & app(X8,cons(X7,nil)) = X5
                                        & ssList(X8) )
                                    & ssItem(X7) )
                                | ~ strictorderedP(X3)
                                | app(app(X5,X3),X6) != X4 ) ) )
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_11,negated_conjecture,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30] :
      ( ( nil != esk1_0
        | ~ segmentP(esk1_0,X30)
        | ~ segmentP(esk2_0,X30)
        | ~ neq(X30,nil)
        | ~ ssList(X30) )
      & ( nil != esk1_0
        | neq(esk2_0,nil) )
      & ( nil = esk2_0
        | ~ segmentP(esk1_0,X30)
        | ~ segmentP(esk2_0,X30)
        | ~ neq(X30,nil)
        | ~ ssList(X30) )
      & ( nil = esk2_0
        | neq(esk2_0,nil) )
      & ( nil != esk3_0
        | nil = esk4_0 )
      & ( ~ lt(X28,X26)
        | app(X29,cons(X28,nil)) != esk3_0
        | ~ ssList(X29)
        | ~ ssItem(X28)
        | app(cons(X26,nil),X27) != esk6_0
        | ~ ssList(X27)
        | ~ ssItem(X26) )
      & ( ~ lt(X22,X24)
        | app(cons(X24,nil),X25) != esk3_0
        | ~ ssList(X25)
        | ~ ssItem(X24)
        | app(X23,cons(X22,nil)) != esk5_0
        | ~ ssList(X23)
        | ~ ssItem(X22) )
      & strictorderedP(esk3_0)
      & app(app(esk5_0,esk3_0),esk6_0) = esk4_0
      & ssList(esk6_0)
      & ssList(esk5_0)
      & esk1_0 = esk3_0
      & esk2_0 = esk4_0
      & ssList(esk4_0)
      & ssList(esk3_0)
      & ssList(esk2_0)
      & ssList(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_10])])])])])]) ).

fof(c_0_12,plain,
    ! [X88,X89] :
      ( ( ~ ssList(X88)
        | ~ ssList(X89)
        | nil = app(X88,X89)
        | nil != X88
        | nil != X89 )
      & ( ~ ssList(X88)
        | ~ ssList(X89)
        | nil != app(X88,X89)
        | nil = X88 )
      & ( ~ ssList(X88)
        | ~ ssList(X89)
        | nil != app(X88,X89)
        | nil = X89 ) ),
    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_13,negated_conjecture,
    app(app(esk5_0,esk3_0),esk6_0) = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | nil != app(X2,X1)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    app(app(esk5_0,esk3_0),esk6_0) = esk2_0,
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ssList(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_18,plain,
    ! [X71,X72] :
      ( ssList(app(X71,X72))
      | ~ ssList(X72)
      | ~ ssList(X71) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ ssList(app(esk5_0,esk3_0))
    | esk2_0 != nil
    | esk6_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_20,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    ssList(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,negated_conjecture,
    ssList(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_23,plain,
    ! [X90] :
      ( app(X90,nil) = X90
      | ~ ssList(X90) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])]) ).

cnf(c_0_24,negated_conjecture,
    ( esk2_0 != nil
    | esk6_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).

cnf(c_0_25,plain,
    ( ~ ssList(X1)
    | app(X1,nil) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ( esk2_0 != nil
    | app(app(esk5_0,esk3_0),nil) = esk2_0 ),
    inference(spm,[status(thm)],[c_0_16,c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ ssList(app(esk5_0,esk3_0))
    | esk2_0 != nil
    | app(esk5_0,esk3_0) = esk2_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_28,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != app(X1,X2)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_29,negated_conjecture,
    ( esk2_0 != nil
    | app(esk5_0,esk3_0) = esk2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_21]),c_0_22])]) ).

cnf(c_0_30,negated_conjecture,
    ( nil != esk1_0
    | ~ segmentP(esk1_0,X1)
    | ~ segmentP(esk2_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_31,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_32,negated_conjecture,
    ( nil != esk1_0
    | neq(esk2_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_33,plain,
    ! [X76] :
      ( app(nil,X76) = X76
      | ~ ssList(X76) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).

cnf(c_0_34,negated_conjecture,
    ( esk2_0 != nil
    | esk5_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_21]),c_0_22])]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ ssList(X1)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk3_0,X1)
    | esk3_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ( esk3_0 != nil
    | neq(esk2_0,nil) ),
    inference(rw,[status(thm)],[c_0_32,c_0_31]) ).

cnf(c_0_37,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_38,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_39,negated_conjecture,
    ( esk2_0 != nil
    | app(nil,esk3_0) = esk2_0 ),
    inference(spm,[status(thm)],[c_0_29,c_0_34]) ).

fof(c_0_40,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ segmentP(esk2_0,esk2_0)
    | ~ segmentP(esk3_0,esk2_0)
    | esk3_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_42,negated_conjecture,
    ( esk2_0 != nil
    | esk3_0 = esk2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_21])]) ).

fof(c_0_43,plain,
    ! [X42] :
      ( segmentP(X42,X42)
      | ~ ssList(X42) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])])]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ segmentP(esk1_0,X1)
    | ~ segmentP(esk2_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1)
    | nil = esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_45,plain,
    ! [X51,X52] :
      ( ( ~ ssList(X51)
        | ~ ssList(X52)
        | neq(X51,X52)
        | X51 = X52 )
      & ( ~ ssList(X51)
        | ~ ssList(X52)
        | X51 != X52
        | ~ neq(X51,X52) ) ),
    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_40])])])])]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ segmentP(esk2_0,esk2_0)
    | esk2_0 != nil ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,plain,
    ( ~ ssList(X1)
    | segmentP(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_48,plain,
    ! [X43,X44,X45,X46] :
      ( segmentP(app(app(X45,X43),X46),X44)
      | ~ segmentP(X43,X44)
      | ~ ssList(X46)
      | ~ ssList(X45)
      | ~ ssList(X44)
      | ~ ssList(X43) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])])]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ ssList(X1)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk3_0,X1)
    | esk2_0 = nil ),
    inference(rw,[status(thm)],[c_0_44,c_0_31]) ).

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

cnf(c_0_51,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_52,negated_conjecture,
    esk2_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_37])]) ).

cnf(c_0_53,plain,
    ( ~ segmentP(X1,X2)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | segmentP(app(app(X3,X1),X4),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk3_0,X1)
    | X1 = nil ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]),c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(esk3_0,X1)
    | segmentP(esk2_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_16]),c_0_17]),c_0_22]),c_0_21])]) ).

cnf(c_0_56,negated_conjecture,
    ( nil != esk3_0
    | nil = esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ segmentP(esk2_0,esk3_0)
    | esk3_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_47]),c_0_21])]) ).

cnf(c_0_58,negated_conjecture,
    segmentP(esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_47]),c_0_21])]) ).

cnf(c_0_59,negated_conjecture,
    ( esk3_0 != nil
    | esk2_0 = nil ),
    inference(rw,[status(thm)],[c_0_56,c_0_14]) ).

cnf(c_0_60,negated_conjecture,
    esk3_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).

cnf(c_0_61,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]),c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC067+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n011.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 07:53:10 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42  Running first-order theorem proving
% 0.15/0.42  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
% 0.15/0.47  % Version: 3.5.1
% 0.15/0.47  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.47  % Starting new_bool_3 with 300s (1) cores
% 0.15/0.47  % Starting new_bool_1 with 300s (1) cores
% 0.15/0.47  % Starting sh5l with 300s (1) cores
% 0.15/0.47  % new_bool_1 with pid 1393540 completed with status 0
% 0.15/0.47  % Result found by new_bool_1
% 0.15/0.47  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.47  % Starting new_bool_3 with 300s (1) cores
% 0.15/0.47  % Starting new_bool_1 with 300s (1) cores
% 0.15/0.47  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.47  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.47  % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/0.47  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.47  % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.47  % SubtermCWHack with pid 1393542 completed with status 0
% 0.15/0.47  % Result found by SubtermCWHack
% 0.15/0.47  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.47  % Starting new_bool_3 with 300s (1) cores
% 0.15/0.47  % Starting new_bool_1 with 300s (1) cores
% 0.15/0.47  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.47  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.47  % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/0.47  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.47  % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.47  % Preprocessing time       : 0.002 s
% 0.15/0.47  
% 0.15/0.47  % Proof found!
% 0.15/0.47  % SZS status Theorem
% 0.15/0.47  % SZS output start CNFRefutation
% See solution above
% 0.15/0.47  % Parsed axioms                        : 96
% 0.15/0.47  % Removed by relevancy pruning/SinE    : 47
% 0.15/0.47  % Initial clauses                      : 93
% 0.15/0.47  % Removed in clause preprocessing      : 1
% 0.15/0.47  % Initial clauses in saturation        : 92
% 0.15/0.47  % Processed clauses                    : 325
% 0.15/0.47  % ...of these trivial                  : 7
% 0.15/0.47  % ...subsumed                          : 127
% 0.15/0.47  % ...remaining for further processing  : 191
% 0.15/0.47  % Other redundant clauses eliminated   : 31
% 0.15/0.47  % Clauses deleted for lack of memory   : 0
% 0.15/0.47  % Backward-subsumed                    : 53
% 0.15/0.47  % Backward-rewritten                   : 23
% 0.15/0.47  % Generated clauses                    : 893
% 0.15/0.47  % ...of the previous two non-redundant : 742
% 0.15/0.47  % ...aggressively subsumed             : 0
% 0.15/0.47  % Contextual simplify-reflections      : 9
% 0.15/0.47  % Paramodulations                      : 857
% 0.15/0.47  % Factorizations                       : 0
% 0.15/0.47  % NegExts                              : 0
% 0.15/0.47  % Equation resolutions                 : 36
% 0.15/0.47  % Disequality decompositions           : 0
% 0.15/0.47  % Total rewrite steps                  : 864
% 0.15/0.47  % ...of those cached                   : 851
% 0.15/0.47  % Propositional unsat checks           : 0
% 0.15/0.47  %    Propositional check models        : 0
% 0.15/0.47  %    Propositional check unsatisfiable : 0
% 0.15/0.47  %    Propositional clauses             : 0
% 0.15/0.47  %    Propositional clauses after purity: 0
% 0.15/0.47  %    Propositional unsat core size     : 0
% 0.15/0.47  %    Propositional preprocessing time  : 0.000
% 0.15/0.47  %    Propositional encoding time       : 0.000
% 0.15/0.47  %    Propositional solver time         : 0.000
% 0.15/0.47  %    Success case prop preproc time    : 0.000
% 0.15/0.47  %    Success case prop encoding time   : 0.000
% 0.15/0.47  %    Success case prop solver time     : 0.000
% 0.15/0.47  % Current number of processed clauses  : 107
% 0.15/0.47  %    Positive orientable unit clauses  : 15
% 0.15/0.47  %    Positive unorientable unit clauses: 0
% 0.15/0.47  %    Negative unit clauses             : 3
% 0.15/0.47  %    Non-unit-clauses                  : 89
% 0.15/0.47  % Current number of unprocessed clauses: 383
% 0.15/0.47  % ...number of literals in the above   : 1919
% 0.15/0.47  % Current number of archived formulas  : 0
% 0.15/0.47  % Current number of archived clauses   : 77
% 0.15/0.47  % Clause-clause subsumption calls (NU) : 3197
% 0.15/0.47  % Rec. Clause-clause subsumption calls : 2179
% 0.15/0.47  % Non-unit clause-clause subsumptions  : 142
% 0.15/0.47  % Unit Clause-clause subsumption calls : 117
% 0.15/0.47  % Rewrite failures with RHS unbound    : 0
% 0.15/0.47  % BW rewrite match attempts            : 5
% 0.15/0.47  % BW rewrite match successes           : 5
% 0.15/0.47  % Condensation attempts                : 0
% 0.15/0.47  % Condensation successes               : 0
% 0.15/0.47  % Termbank termtop insertions          : 21549
% 0.15/0.47  % Search garbage collected termcells   : 2449
% 0.15/0.47  
% 0.15/0.47  % -------------------------------------------------
% 0.15/0.47  % User time                : 0.023 s
% 0.15/0.47  % System time              : 0.006 s
% 0.15/0.47  % Total time               : 0.029 s
% 0.15/0.47  % Maximum resident set size: 4024 pages
% 0.15/0.47  
% 0.15/0.47  % -------------------------------------------------
% 0.15/0.47  % User time                : 0.027 s
% 0.15/0.47  % System time              : 0.010 s
% 0.15/0.47  % Total time               : 0.037 s
% 0.15/0.47  % Maximum resident set size: 4864 pages
% 0.15/0.47  % E exiting
%------------------------------------------------------------------------------