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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC300+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 02:43:50 PM UTC 2026

% Result   : Theorem 0.20s 0.64s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   59 (  23 unt;   0 def)
%            Number of atoms       :  239 (  42 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives :  283 ( 103   ~;  96   |;  25   &)
%                                         (   3 <=>;  56  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-2 aty)
%            Number of variables   :   95 (   0 sgn  73   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ssItem(X6)
                           => ! [X7] :
                                ( ssList(X7)
                               => ! [X8] :
                                    ( ssList(X8)
                                   => ! [X9] :
                                        ( ssList(X9)
                                       => ( ~ lt(X6,X5)
                                          | app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9) != X1 ) ) ) ) ) )
                    | ~ totalorderedP(X3)
                    | X1 != X3
                    | X2 != X4 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax82,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).

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

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

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(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(ax93,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
          <=> ( leq(X1,X2)
              & X1 != X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax93) ).

fof(ax11,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( totalorderedP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => leq(X2,X3) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).

fof(ax33,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
           => ~ lt(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax33) ).

fof(ax29,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( ( leq(X2,X1)
              & leq(X1,X2) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax29) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssItem(X6)
                             => ! [X7] :
                                  ( ssList(X7)
                                 => ! [X8] :
                                      ( ssList(X8)
                                     => ! [X9] :
                                          ( ssList(X9)
                                         => ( ~ lt(X6,X5)
                                            | app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9) != X1 ) ) ) ) ) )
                      | ~ totalorderedP(X3)
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssItem(X6)
                             => ! [X7] :
                                  ( ssList(X7)
                                 => ! [X8] :
                                      ( ssList(X8)
                                     => ! [X9] :
                                          ( ssList(X9)
                                         => ( ~ lt(X6,X5)
                                            | app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9) != X1 ) ) ) ) ) )
                      | ~ totalorderedP(X3)
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_12,negated_conjecture,
    ( lt(esk53_0,esk52_0)
    & app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0
    & ssList(esk56_0)
    & ssList(esk55_0)
    & ssList(esk54_0)
    & ssItem(esk53_0)
    & ssItem(esk52_0)
    & totalorderedP(esk50_0)
    & esk48_0 = esk50_0
    & esk49_0 = esk51_0
    & ssList(esk51_0)
    & ssList(esk50_0)
    & ssList(esk49_0)
    & ssList(esk48_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_13,plain,
    ! [X225,X226,X227] :
      ( app(app(X225,X226),X227) = app(X225,app(X226,X227))
      | ~ ssList(X227)
      | ~ ssList(X226)
      | ~ ssList(X225) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])]) ).

cnf(c_0_14,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X1,X2),X3) = app(X1,app(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    ssList(esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ssList(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,plain,
    ! [X114,X115] :
      ( ssList(cons(X115,X114))
      | ~ ssItem(X115)
      | ~ ssList(X114) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ ssList(cons(esk52_0,nil))
    | app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0) = esk48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).

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

cnf(c_0_21,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_22,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_23,plain,
    ! [X223,X224] :
      ( cons(X224,X223) = app(cons(X224,nil),X223)
      | ~ ssItem(X224)
      | ~ ssList(X223) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

cnf(c_0_24,negated_conjecture,
    app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0) = esk48_0,
    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,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | cons(X2,X1) = app(cons(X2,nil),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_16]),c_0_22])]) ).

cnf(c_0_27,negated_conjecture,
    ssList(esk56_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ ssList(cons(esk53_0,nil))
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0)) = esk48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_26]),c_0_27])]) ).

cnf(c_0_29,negated_conjecture,
    ssItem(esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_30,plain,
    ! [X133,X134] :
      ( ssList(app(X133,X134))
      | ~ ssList(X134)
      | ~ ssList(X133) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0)) = esk48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_21]),c_0_29])]) ).

cnf(c_0_32,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_33,plain,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
          <=> ( leq(X1,X2)
              & X1 != X2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[ax93]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ ssList(cons(esk52_0,esk55_0))
    | app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0)) = esk48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_17])]) ).

fof(c_0_35,plain,
    ! [X247,X248] :
      ( ( ~ ssItem(X247)
        | ~ ssItem(X248)
        | lt(X247,X248)
        | ~ leq(X247,X248)
        | X247 = X248 )
      & ( ~ ssItem(X247)
        | ~ ssItem(X248)
        | ~ lt(X247,X248)
        | leq(X247,X248) )
      & ( ~ ssItem(X247)
        | ~ ssItem(X248)
        | ~ lt(X247,X248)
        | X247 != X248 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])]) ).

fof(c_0_36,plain,
    ! [X70,X71,X72,X73,X74,X75] :
      ( ( ~ ssList(X70)
        | totalorderedP(X70)
        | ~ leq(esk25_1(X70),esk26_1(X70)) )
      & ( ~ ssList(X70)
        | totalorderedP(X70)
        | app(app(esk27_1(X70),cons(esk25_1(X70),esk28_1(X70))),cons(esk26_1(X70),esk29_1(X70))) = X70 )
      & ( ~ ssList(X70)
        | totalorderedP(X70)
        | ssList(esk29_1(X70)) )
      & ( ~ ssList(X70)
        | totalorderedP(X70)
        | ssList(esk28_1(X70)) )
      & ( ~ ssList(X70)
        | totalorderedP(X70)
        | ssList(esk27_1(X70)) )
      & ( ~ ssList(X70)
        | totalorderedP(X70)
        | ssItem(esk26_1(X70)) )
      & ( ~ ssList(X70)
        | totalorderedP(X70)
        | ssItem(esk25_1(X70)) )
      & ( ~ ssList(X70)
        | leq(X71,X72)
        | app(app(X73,cons(X71,X74)),cons(X72,X75)) != X70
        | ~ ssList(X75)
        | ~ ssList(X74)
        | ~ ssList(X73)
        | ~ ssItem(X72)
        | ~ ssItem(X71)
        | ~ totalorderedP(X70) ) ),
    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)],[ax11])])])])])]) ).

cnf(c_0_37,negated_conjecture,
    app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0)) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_20]),c_0_16]),c_0_22])]) ).

fof(c_0_38,plain,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
           => ~ lt(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[ax33]) ).

fof(c_0_39,plain,
    ! [X139,X140] :
      ( X139 = X140
      | ~ leq(X140,X139)
      | ~ leq(X139,X140)
      | ~ ssItem(X140)
      | ~ ssItem(X139) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])])]) ).

cnf(c_0_40,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    lt(esk53_0,esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_42,plain,
    ( ~ ssList(X1)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ ssList(X6)
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssItem(X3)
    | ~ ssItem(X2)
    | ~ totalorderedP(X1)
    | leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0)) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_25]),c_0_27]),c_0_29])]) ).

cnf(c_0_44,negated_conjecture,
    totalorderedP(esk50_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_45,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_46,plain,
    ! [X147,X148] :
      ( ~ lt(X148,X147)
      | ~ lt(X147,X148)
      | ~ ssItem(X148)
      | ~ ssItem(X147) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).

cnf(c_0_47,plain,
    ( ~ leq(X2,X1)
    | ~ leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_48,negated_conjecture,
    leq(esk53_0,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_22]),c_0_29])]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ ssList(X1)
    | ~ totalorderedP(X1)
    | esk48_0 != X1
    | leq(esk52_0,esk53_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_27]),c_0_16]),c_0_17]),c_0_29]),c_0_22])]) ).

cnf(c_0_50,negated_conjecture,
    totalorderedP(esk48_0),
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_52,plain,
    ( ~ lt(X2,X1)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ leq(esk52_0,esk53_0)
    | esk53_0 = esk52_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_29]),c_0_22])]) ).

cnf(c_0_54,negated_conjecture,
    leq(esk52_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_49]),c_0_50]),c_0_51])]) ).

cnf(c_0_55,negated_conjecture,
    ~ lt(esk52_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_41]),c_0_29]),c_0_22])]) ).

cnf(c_0_56,negated_conjecture,
    esk53_0 = esk52_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).

cnf(c_0_57,negated_conjecture,
    ~ lt(esk52_0,esk52_0),
    inference(rw,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_56]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC300+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37  % Computer : n020.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 08:14:17 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.45  Running first-order theorem proving
% 0.14/0.45  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.20/0.64  % Version: 3.5.1
% 0.20/0.64  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.64  % Starting new_bool_3 with 300s (1) cores
% 0.20/0.64  % Starting new_bool_1 with 300s (1) cores
% 0.20/0.64  % Starting sh5l with 300s (1) cores
% 0.20/0.64  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2462132 completed with status 0
% 0.20/0.64  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.20/0.64  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.64  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.64  % No SInE strategy applied
% 0.20/0.64  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.20/0.64  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.64  % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.20/0.64  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.20/0.64  % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.20/0.64  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.20/0.64  % G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with pid 2462141 completed with status 0
% 0.20/0.64  % Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d
% 0.20/0.64  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.64  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.64  % No SInE strategy applied
% 0.20/0.64  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.20/0.64  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.64  % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.20/0.64  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.20/0.64  % Preprocessing time       : 0.003 s
% 0.20/0.64  
% 0.20/0.64  % Proof found!
% 0.20/0.64  % SZS status Theorem
% 0.20/0.64  % SZS output start CNFRefutation
% See solution above
% 0.20/0.64  % Parsed axioms                        : 96
% 0.20/0.64  % Removed by relevancy pruning/SinE    : 0
% 0.20/0.64  % Initial clauses                      : 204
% 0.20/0.64  % Removed in clause preprocessing      : 2
% 0.20/0.64  % Initial clauses in saturation        : 202
% 0.20/0.64  % Processed clauses                    : 629
% 0.20/0.64  % ...of these trivial                  : 28
% 0.20/0.64  % ...subsumed                          : 55
% 0.20/0.64  % ...remaining for further processing  : 545
% 0.20/0.64  % Other redundant clauses eliminated   : 69
% 0.20/0.64  % Clauses deleted for lack of memory   : 0
% 0.20/0.64  % Backward-subsumed                    : 38
% 0.20/0.64  % Backward-rewritten                   : 88
% 0.20/0.64  % Generated clauses                    : 2122
% 0.20/0.64  % ...of the previous two non-redundant : 1852
% 0.20/0.64  % ...aggressively subsumed             : 0
% 0.20/0.64  % Contextual simplify-reflections      : 24
% 0.20/0.64  % Paramodulations                      : 2027
% 0.20/0.64  % Factorizations                       : 0
% 0.20/0.64  % NegExts                              : 0
% 0.20/0.64  % Equation resolutions                 : 95
% 0.20/0.64  % Disequality decompositions           : 0
% 0.20/0.64  % Total rewrite steps                  : 1939
% 0.20/0.64  % ...of those cached                   : 1861
% 0.20/0.64  % Propositional unsat checks           : 0
% 0.20/0.64  %    Propositional check models        : 0
% 0.20/0.64  %    Propositional check unsatisfiable : 0
% 0.20/0.64  %    Propositional clauses             : 0
% 0.20/0.64  %    Propositional clauses after purity: 0
% 0.20/0.64  %    Propositional unsat core size     : 0
% 0.20/0.64  %    Propositional preprocessing time  : 0.000
% 0.20/0.64  %    Propositional encoding time       : 0.000
% 0.20/0.64  %    Propositional solver time         : 0.000
% 0.20/0.64  %    Success case prop preproc time    : 0.000
% 0.20/0.64  %    Success case prop encoding time   : 0.000
% 0.20/0.64  %    Success case prop solver time     : 0.000
% 0.20/0.64  % Current number of processed clauses  : 413
% 0.20/0.64  %    Positive orientable unit clauses  : 89
% 0.20/0.64  %    Positive unorientable unit clauses: 0
% 0.20/0.64  %    Negative unit clauses             : 4
% 0.20/0.64  %    Non-unit-clauses                  : 320
% 0.20/0.64  % Current number of unprocessed clauses: 1415
% 0.20/0.64  % ...number of literals in the above   : 8034
% 0.20/0.64  % Current number of archived formulas  : 0
% 0.20/0.64  % Current number of archived clauses   : 126
% 0.20/0.64  % Clause-clause subsumption calls (NU) : 20284
% 0.20/0.64  % Rec. Clause-clause subsumption calls : 11069
% 0.20/0.64  % Non-unit clause-clause subsumptions  : 116
% 0.20/0.64  % Unit Clause-clause subsumption calls : 472
% 0.20/0.64  % Rewrite failures with RHS unbound    : 0
% 0.20/0.64  % BW rewrite match attempts            : 229
% 0.20/0.64  % BW rewrite match successes           : 44
% 0.20/0.64  % Condensation attempts                : 0
% 0.20/0.64  % Condensation successes               : 0
% 0.20/0.64  % Termbank termtop insertions          : 67045
% 0.20/0.64  % Search garbage collected termcells   : 4292
% 0.20/0.64  
% 0.20/0.64  % -------------------------------------------------
% 0.20/0.64  % User time                : 0.089 s
% 0.20/0.64  % System time              : 0.012 s
% 0.20/0.64  % Total time               : 0.101 s
% 0.20/0.64  % Maximum resident set size: 4224 pages
% 0.20/0.64  
% 0.20/0.64  % -------------------------------------------------
% 0.20/0.64  % User time                : 0.291 s
% 0.20/0.64  % System time              : 0.034 s
% 0.20/0.64  % Total time               : 0.325 s
% 0.20/0.64  % Maximum resident set size: 4608 pages
% 0.20/0.64  % E exiting
%------------------------------------------------------------------------------