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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB086+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 02:38:37 PM UTC 2026

% Result   : Theorem 18.59s 13.12s
% Output   : CNFRefutation 18.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   42 (  19 unt;   0 def)
%            Number of atoms       :  114 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  120 (  48   ~;  46   |;  18   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   57 (   3 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conclusion_rdfbased_sem_restrict_hasself_cmp_prop,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_hasself_cmp_prop) ).

fof(owl_prop_onproperty_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_onProperty,X4,X7)
     => ( ip(X7)
        & icext(uri_owl_Restriction,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_onproperty_ext) ).

fof(owl_class_restriction_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_Restriction,X4)
     => ic(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_restriction_ext) ).

fof(premise_rdfbased_sem_restrict_hasself_cmp_prop,axiom,
    ( iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2)
    & iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1)
    & iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean))
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2)
    & iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_hasself_cmp_prop) ).

fof(owl_restrict_hasself,axiom,
    ! [X11,X2,X31] :
      ( ( iext(uri_owl_onProperty,X11,X2)
        & iext(uri_owl_hasSelf,X11,X31) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> iext(X2,X4,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_restrict_hasself) ).

fof(owl_rdfsext_subclassof,axiom,
    ! [X13,X15] :
      ( iext(uri_rdfs_subClassOf,X13,X15)
    <=> ( ! [X4] :
            ( icext(X13,X4)
           => icext(X15,X4) )
        & ic(X15)
        & ic(X13) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).

fof(rdfs_subpropertyof_main,axiom,
    ! [X2,X9] :
      ( iext(uri_rdfs_subPropertyOf,X2,X9)
     => ( ! [X4,X7] :
            ( iext(X2,X4,X7)
           => iext(X9,X4,X7) )
        & ip(X9)
        & ip(X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_subpropertyof_main) ).

fof(c_0_7,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_hasself_cmp_prop]) ).

fof(c_0_8,plain,
    ! [X218,X219] :
      ( ( ~ iext(uri_owl_onProperty,X218,X219)
        | ip(X219) )
      & ( ~ iext(uri_owl_onProperty,X218,X219)
        | icext(uri_owl_Restriction,X218) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_onproperty_ext])])])]) ).

fof(c_0_9,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_10,plain,
    ! [X140] :
      ( ic(X140)
      | ~ icext(uri_owl_Restriction,X140) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_restriction_ext])])]) ).

cnf(c_0_11,plain,
    ( ~ iext(uri_owl_onProperty,X1,X2)
    | icext(uri_owl_Restriction,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_13,plain,
    iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

fof(c_0_14,plain,
    ! [X531,X532,X533,X534] :
      ( ( ~ iext(uri_owl_onProperty,X531,X532)
        | ~ iext(uri_owl_hasSelf,X531,X533)
        | icext(X531,X534)
        | ~ iext(X532,X534,X534) )
      & ( ~ iext(uri_owl_onProperty,X531,X532)
        | ~ iext(uri_owl_hasSelf,X531,X533)
        | iext(X532,X534,X534)
        | ~ icext(X531,X534) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_hasself])])])])]) ).

fof(c_0_15,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(fof_nnf,[status(thm)],[c_0_9]) ).

fof(c_0_16,plain,
    ! [X767,X768,X769,X770,X771] :
      ( ( iext(uri_rdfs_subClassOf,X770,X771)
        | ~ ic(X771)
        | ~ ic(X770)
        | ~ icext(X771,esk109_2(X770,X771)) )
      & ( iext(uri_rdfs_subClassOf,X770,X771)
        | ~ ic(X771)
        | ~ ic(X770)
        | icext(X770,esk109_2(X770,X771)) )
      & ( ~ iext(uri_rdfs_subClassOf,X767,X768)
        | icext(X768,X769)
        | ~ icext(X767,X769) )
      & ( ~ iext(uri_rdfs_subClassOf,X767,X768)
        | ic(X768) )
      & ( ~ iext(uri_rdfs_subClassOf,X767,X768)
        | ic(X767) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof])])])])])])]) ).

cnf(c_0_17,plain,
    ( ~ icext(uri_owl_Restriction,X1)
    | ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    icext(uri_owl_Restriction,uri_ex_x2),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_19,plain,
    icext(uri_owl_Restriction,uri_ex_x1),
    inference(spm,[status(thm)],[c_0_11,c_0_13]) ).

cnf(c_0_20,plain,
    ( ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_hasSelf,X1,X4)
    | ~ icext(X1,X2)
    | iext(X3,X2,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_22,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( ~ ic(X2)
    | ~ ic(X1)
    | iext(uri_rdfs_subClassOf,X1,X2)
    | icext(X1,esk109_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    ic(uri_ex_x2),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_25,plain,
    ic(uri_ex_x1),
    inference(spm,[status(thm)],[c_0_17,c_0_19]) ).

fof(c_0_26,plain,
    ! [X71,X72,X73,X74] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X71,X72)
        | iext(X72,X73,X74)
        | ~ iext(X71,X73,X74) )
      & ( ~ iext(uri_rdfs_subPropertyOf,X71,X72)
        | ip(X72) )
      & ( ~ iext(uri_rdfs_subPropertyOf,X71,X72)
        | ip(X71) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_main])])])])]) ).

cnf(c_0_27,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
    | ~ icext(uri_ex_x1,X2)
    | iext(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    icext(uri_ex_x1,esk109_2(uri_ex_x1,uri_ex_x2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_29,plain,
    ( ~ iext(uri_owl_onProperty,X3,X1)
    | ~ iext(uri_owl_hasSelf,X3,X4)
    | ~ iext(X1,X2,X2)
    | icext(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_30,plain,
    iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_31,plain,
    ( ~ iext(uri_rdfs_subPropertyOf,X1,X4)
    | ~ iext(X1,X2,X3)
    | iext(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_32,plain,
    iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
    | iext(X1,esk109_2(uri_ex_x1,uri_ex_x2),esk109_2(uri_ex_x1,uri_ex_x2)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,plain,
    ( ~ iext(X2,X1,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_x2,X2)
    | icext(uri_ex_x2,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    ( ~ iext(uri_ex_p1,X1,X2)
    | iext(uri_ex_p2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    iext(uri_ex_p1,esk109_2(uri_ex_x1,uri_ex_x2),esk109_2(uri_ex_x1,uri_ex_x2)),
    inference(spm,[status(thm)],[c_0_33,c_0_13]) ).

cnf(c_0_37,plain,
    ( ~ iext(uri_ex_p2,X1,X1)
    | icext(uri_ex_x2,X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_12]) ).

cnf(c_0_38,negated_conjecture,
    iext(uri_ex_p2,esk109_2(uri_ex_x1,uri_ex_x2),esk109_2(uri_ex_x1,uri_ex_x2)),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,plain,
    ( ~ ic(X1)
    | ~ ic(X2)
    | ~ icext(X1,esk109_2(X2,X1))
    | iext(uri_rdfs_subClassOf,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_40,negated_conjecture,
    icext(uri_ex_x2,esk109_2(uri_ex_x1,uri_ex_x2)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_25]),c_0_24])]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWB086+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/10.47  % Computer : n008.cluster.edu
% 0.20/10.47  % Model    : x86_64 x86_64
% 0.20/10.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/10.47  % Memory   : 8046.5625MB
% 0.20/10.47  % OS       : Linux 6.8.0-71-generic
% 0.20/10.47  % CPULimit : 300
% 0.20/10.47  % WCLimit  : 300
% 0.20/10.47  % DateTime : Mon Sep 21 07:46:50 UTC 2026
% 0.20/10.47  % CPUTime  : 
% 0.20/10.47  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/10.52  Running first-order theorem proving
% 0.24/10.52  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
% 18.59/13.12  % Version: 3.5.1
% 18.59/13.12  % Preprocessing class: FSLMSMSLSSSNFFN.
% 18.59/13.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.59/13.12  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 18.59/13.12  % Starting new_bool_3 with 600s (2) cores
% 18.59/13.12  % Starting new_bool_1 with 600s (2) cores
% 18.59/13.12  % Starting sh5l with 300s (1) cores
% 18.59/13.12  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 512407 completed with status 0
% 18.59/13.12  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 18.59/13.12  % Preprocessing class: FSLMSMSLSSSNFFN.
% 18.59/13.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.59/13.12  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 18.59/13.12  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.59/13.12  % No SInE strategy applied
% 18.59/13.12  % Search class: FGHSM-SMLM33-SFFFFFNN
% 18.59/13.12  % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 18.59/13.12  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 18.59/13.12  % Starting SubtermCWHack with 82s (1) cores
% 18.59/13.12  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 18.59/13.12  % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
% 18.59/13.12  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 512421 completed with status 0
% 18.59/13.12  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 18.59/13.12  % Preprocessing class: FSLMSMSLSSSNFFN.
% 18.59/13.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.59/13.12  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 18.59/13.12  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.59/13.12  % No SInE strategy applied
% 18.59/13.12  % Search class: FGHSM-SMLM33-SFFFFFNN
% 18.59/13.12  % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 18.59/13.12  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 18.59/13.12  % Starting SubtermCWHack with 82s (1) cores
% 18.59/13.12  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 18.59/13.12  % Preprocessing time       : 0.032 s
% 18.59/13.12  
% 18.59/13.12  % Proof found!
% 18.59/13.12  % SZS status Theorem
% 18.59/13.12  % SZS output start CNFRefutation
% See solution above
% 18.59/13.12  % Parsed axioms                        : 560
% 18.59/13.12  % Removed by relevancy pruning/SinE    : 0
% 18.59/13.12  % Initial clauses                      : 1272
% 18.59/13.12  % Removed in clause preprocessing      : 111
% 18.59/13.12  % Initial clauses in saturation        : 1161
% 18.59/13.12  % Processed clauses                    : 10258
% 18.59/13.12  % ...of these trivial                  : 1559
% 18.59/13.12  % ...subsumed                          : 3561
% 18.59/13.12  % ...remaining for further processing  : 5138
% 18.59/13.12  % Other redundant clauses eliminated   : 16
% 18.59/13.12  % Clauses deleted for lack of memory   : 0
% 18.59/13.12  % Backward-subsumed                    : 39
% 18.59/13.12  % Backward-rewritten                   : 0
% 18.59/13.12  % Generated clauses                    : 28859
% 18.59/13.12  % ...of the previous two non-redundant : 22116
% 18.59/13.12  % ...aggressively subsumed             : 0
% 18.59/13.12  % Contextual simplify-reflections      : 38
% 18.59/13.12  % Paramodulations                      : 28841
% 18.59/13.12  % Factorizations                       : 2
% 18.59/13.12  % NegExts                              : 0
% 18.59/13.12  % Equation resolutions                 : 16
% 18.59/13.12  % Disequality decompositions           : 0
% 18.59/13.12  % Total rewrite steps                  : 21514
% 18.59/13.12  % ...of those cached                   : 20069
% 18.59/13.12  % Propositional unsat checks           : 0
% 18.59/13.12  %    Propositional check models        : 0
% 18.59/13.12  %    Propositional check unsatisfiable : 0
% 18.59/13.12  %    Propositional clauses             : 0
% 18.59/13.12  %    Propositional clauses after purity: 0
% 18.59/13.12  %    Propositional unsat core size     : 0
% 18.59/13.12  %    Propositional preprocessing time  : 0.000
% 18.59/13.12  %    Propositional encoding time       : 0.000
% 18.59/13.12  %    Propositional solver time         : 0.000
% 18.59/13.12  %    Success case prop preproc time    : 0.000
% 18.59/13.12  %    Success case prop encoding time   : 0.000
% 18.59/13.12  %    Success case prop solver time     : 0.000
% 18.59/13.12  % Current number of processed clauses  : 5083
% 18.59/13.12  %    Positive orientable unit clauses  : 2336
% 18.59/13.12  %    Positive unorientable unit clauses: 0
% 18.59/13.12  %    Negative unit clauses             : 8
% 18.59/13.12  %    Non-unit-clauses                  : 2739
% 18.59/13.12  % Current number of unprocessed clauses: 13014
% 18.59/13.12  % ...number of literals in the above   : 61861
% 18.59/13.12  % Current number of archived formulas  : 0
% 18.59/13.12  % Current number of archived clauses   : 40
% 18.59/13.12  % Clause-clause subsumption calls (NU) : 1323908
% 18.59/13.12  % Rec. Clause-clause subsumption calls : 614861
% 18.59/13.12  % Non-unit clause-clause subsumptions  : 3619
% 18.59/13.12  % Unit Clause-clause subsumption calls : 636976
% 18.59/13.12  % Rewrite failures with RHS unbound    : 0
% 18.59/13.12  % BW rewrite match attempts            : 1597
% 18.59/13.12  % BW rewrite match successes           : 0
% 18.59/13.12  % Condensation attempts                : 0
% 18.59/13.12  % Condensation successes               : 0
% 18.59/13.12  % Termbank termtop insertions          : 497446
% 18.59/13.12  % Search garbage collected termcells   : 19058
% 18.59/13.12  
% 18.59/13.12  % -------------------------------------------------
% 18.59/13.12  % User time                : 2.398 s
% 18.59/13.12  % System time              : 0.065 s
% 18.59/13.12  % Total time               : 2.463 s
% 18.59/13.12  % Maximum resident set size: 7508 pages
% 18.59/13.12  
% 18.59/13.12  % -------------------------------------------------
% 18.59/13.12  % User time                : 7.000 s
% 18.59/13.12  % System time              : 0.216 s
% 18.59/13.12  % Total time               : 7.216 s
% 18.59/13.12  % Maximum resident set size: 5376 pages
% 18.59/13.12  % E exiting
%------------------------------------------------------------------------------