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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV724-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 02:59:48 PM UTC 2026

% Result   : Unsatisfiable 0.25s 5.81s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   39 (  11 unt;   2 nHn;  28 RR)
%            Number of literals    :   71 (   2 equ;  35 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-3 aty)
%            Number of variables   :   55 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
    | ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_analz_OInj_0,axiom,
    ( ~ hBOOL(c_in(X1,X2,tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OInj_0) ).

cnf(cls_mem__def_0,axiom,
    ( ~ hBOOL(c_in(X2,X1,X3))
    | hBOOL(hAPP(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

cnf(cls_parts_OInj_0,axiom,
    ( ~ hBOOL(c_in(X1,X2,tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OInj_0) ).

cnf(cls_Spy__spies__bad__shrK_0,axiom,
    ( ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).

cnf(cls_mem__def_1,axiom,
    ( ~ hBOOL(hAPP(X2,X1))
    | hBOOL(c_in(X1,X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_parts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__analz_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Spy__see__shrK_0,axiom,
    ( ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_0_10,negated_conjecture,
    ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
    | ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).

cnf(c_0_11,plain,
    ( ~ hBOOL(c_in(X1,X2,tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_analz_OInj_0]) ).

cnf(c_0_12,plain,
    ( ~ hBOOL(c_in(X2,X1,X3))
    | hBOOL(hAPP(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).

cnf(c_0_13,plain,
    ( ~ hBOOL(c_in(X1,X2,tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_parts_OInj_0]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
    | ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
    c_0_10 ).

cnf(c_0_15,plain,
    ( ~ hBOOL(c_in(X1,X2,tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    c_0_11 ).

cnf(c_0_16,plain,
    ( ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_Spy__spies__bad__shrK_0]) ).

cnf(c_0_17,plain,
    ( ~ hBOOL(c_in(X2,X1,X3))
    | hBOOL(hAPP(X1,X2)) ),
    c_0_12 ).

cnf(c_0_18,plain,
    ( ~ hBOOL(c_in(X1,X2,tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)) ),
    c_0_13 ).

cnf(c_0_19,negated_conjecture,
    ( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ( ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)) ),
    c_0_16 ).

cnf(c_0_21,plain,
    ( ~ hBOOL(hAPP(X2,X1))
    | hBOOL(c_in(X1,X2,X3)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).

cnf(c_0_22,plain,
    ( ~ hBOOL(c_in(X2,X1,tc_Message_Omsg))
    | hBOOL(hAPP(c_Message_Oparts(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    cls_parts__analz_0 ).

cnf(c_0_24,negated_conjecture,
    ( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
    cls_conjecture_2 ).

cnf(c_0_25,negated_conjecture,
    ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,plain,
    ( ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)) ),
    inference(fof_simplification,[status(thm)],[cls_Spy__see__shrK_0]) ).

cnf(c_0_27,plain,
    ( ~ hBOOL(hAPP(X2,X1))
    | hBOOL(c_in(X1,X2,X3)) ),
    c_0_21 ).

cnf(c_0_28,plain,
    ( ~ hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg))
    | hBOOL(hAPP(c_Message_Oparts(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    inference(sr,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    cls_conjecture_0 ).

cnf(c_0_31,plain,
    ( ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)) ),
    c_0_26 ).

cnf(c_0_32,plain,
    ( ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Message_Oparts(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))),
    inference(spm,[status(thm)],[c_0_17,c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
    inference(spm,[status(thm)],[c_0_17,c_0_30]) ).

cnf(c_0_35,plain,
    ( ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X1)),
    inference(spm,[status(thm)],[c_0_27,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X1)),
    inference(spm,[status(thm)],[c_0_27,c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWV724-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/5.47  % Computer : n016.cluster.edu
% 0.21/5.47  % Model    : x86_64 x86_64
% 0.21/5.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/5.47  % Memory   : 8046.5625MB
% 0.21/5.47  % OS       : Linux 6.8.0-71-generic
% 0.21/5.47  % CPULimit : 300
% 0.21/5.47  % WCLimit  : 300
% 0.21/5.47  % DateTime : Mon Sep 21 09:26:28 UTC 2026
% 0.21/5.48  % CPUTime  : 
% 0.21/5.48  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/5.55  Running first-order theorem proving
% 0.25/5.55  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
% 0.25/5.81  % Version: 3.5.1
% 0.25/5.81  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.25/5.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/5.81  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.25/5.81  % Starting new_bool_3 with 300s (1) cores
% 0.25/5.81  % Starting new_bool_1 with 300s (1) cores
% 0.25/5.81  % Starting sh5l with 300s (1) cores
% 0.25/5.81  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2112029 completed with status 0
% 0.25/5.81  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.25/5.81  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.25/5.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/5.81  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.25/5.81  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/5.81  % No SInE strategy applied
% 0.25/5.81  % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.25/5.81  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/5.81  % Starting SubtermCWHack with 136s (1) cores
% 0.25/5.81  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.25/5.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.25/5.81  % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.25/5.81  % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.25/5.81  % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 2112038 completed with status 0
% 0.25/5.81  % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.25/5.81  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.25/5.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/5.81  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.25/5.81  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/5.81  % No SInE strategy applied
% 0.25/5.81  % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.25/5.81  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/5.81  % Starting SubtermCWHack with 136s (1) cores
% 0.25/5.81  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.25/5.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.25/5.81  % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.25/5.81  % Preprocessing time       : 0.007 s
% 0.25/5.81  % Presaturation interreduction done
% 0.25/5.81  
% 0.25/5.81  % Proof found!
% 0.25/5.81  % SZS status Unsatisfiable
% 0.25/5.81  % SZS output start CNFRefutation
% See solution above
% 0.25/5.81  % Parsed axioms                        : 567
% 0.25/5.81  % Removed by relevancy pruning/SinE    : 0
% 0.25/5.81  % Initial clauses                      : 567
% 0.25/5.81  % Removed in clause preprocessing      : 4
% 0.25/5.81  % Initial clauses in saturation        : 563
% 0.25/5.81  % Processed clauses                    : 1544
% 0.25/5.81  % ...of these trivial                  : 159
% 0.25/5.81  % ...subsumed                          : 330
% 0.25/5.81  % ...remaining for further processing  : 1055
% 0.25/5.81  % Other redundant clauses eliminated   : 10
% 0.25/5.81  % Clauses deleted for lack of memory   : 0
% 0.25/5.81  % Backward-subsumed                    : 21
% 0.25/5.81  % Backward-rewritten                   : 33
% 0.25/5.81  % Generated clauses                    : 6336
% 0.25/5.81  % ...of the previous two non-redundant : 4433
% 0.25/5.81  % ...aggressively subsumed             : 0
% 0.25/5.81  % Contextual simplify-reflections      : 0
% 0.25/5.81  % Paramodulations                      : 6300
% 0.25/5.81  % Factorizations                       : 2
% 0.25/5.81  % NegExts                              : 0
% 0.25/5.81  % Equation resolutions                 : 33
% 0.25/5.81  % Disequality decompositions           : 0
% 0.25/5.81  % Total rewrite steps                  : 4474
% 0.25/5.81  % ...of those cached                   : 3232
% 0.25/5.81  % Propositional unsat checks           : 0
% 0.25/5.81  %    Propositional check models        : 0
% 0.25/5.81  %    Propositional check unsatisfiable : 0
% 0.25/5.81  %    Propositional clauses             : 0
% 0.25/5.81  %    Propositional clauses after purity: 0
% 0.25/5.81  %    Propositional unsat core size     : 0
% 0.25/5.81  %    Propositional preprocessing time  : 0.000
% 0.25/5.81  %    Propositional encoding time       : 0.000
% 0.25/5.81  %    Propositional solver time         : 0.000
% 0.25/5.81  %    Success case prop preproc time    : 0.000
% 0.25/5.81  %    Success case prop encoding time   : 0.000
% 0.25/5.81  %    Success case prop solver time     : 0.000
% 0.25/5.81  % Current number of processed clauses  : 584
% 0.25/5.81  %    Positive orientable unit clauses  : 353
% 0.25/5.81  %    Positive unorientable unit clauses: 9
% 0.25/5.81  %    Negative unit clauses             : 58
% 0.25/5.81  %    Non-unit-clauses                  : 164
% 0.25/5.81  % Current number of unprocessed clauses: 3800
% 0.25/5.81  % ...number of literals in the above   : 5112
% 0.25/5.81  % Current number of archived formulas  : 0
% 0.25/5.81  % Current number of archived clauses   : 473
% 0.25/5.81  % Clause-clause subsumption calls (NU) : 27950
% 0.25/5.81  % Rec. Clause-clause subsumption calls : 22119
% 0.25/5.81  % Non-unit clause-clause subsumptions  : 210
% 0.25/5.81  % Unit Clause-clause subsumption calls : 2132
% 0.25/5.81  % Rewrite failures with RHS unbound    : 6
% 0.25/5.81  % BW rewrite match attempts            : 2235
% 0.25/5.81  % BW rewrite match successes           : 91
% 0.25/5.81  % Condensation attempts                : 0
% 0.25/5.81  % Condensation successes               : 0
% 0.25/5.81  % Termbank termtop insertions          : 119065
% 0.25/5.81  % Search garbage collected termcells   : 924
% 0.25/5.81  
% 0.25/5.81  % -------------------------------------------------
% 0.25/5.81  % User time                : 0.149 s
% 0.25/5.81  % System time              : 0.018 s
% 0.25/5.81  % Total time               : 0.167 s
% 0.25/5.81  % Maximum resident set size: 4328 pages
% 0.25/5.81  
% 0.25/5.81  % -------------------------------------------------
% 0.25/5.81  % User time                : 0.594 s
% 0.25/5.81  % System time              : 0.061 s
% 0.25/5.81  % Total time               : 0.654 s
% 0.25/5.81  % Maximum resident set size: 5376 pages
% 0.25/5.81  % E exiting
%------------------------------------------------------------------------------