TSTP Solution File: SWV332-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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  : 600s
% DateTime : Wed Jul 20 21:32:51 EDT 2022

% Result   : Unsatisfiable 2.18s 2.38s
% Output   : Refutation 2.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   29 (  18 unt;   2 nHn;  29 RR)
%            Number of literals    :   51 (   9 equ;  29 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   31 (  31 usr;  16 con; 0-4 aty)
%            Number of variables   :   57 (  26 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_Oanalz__conj__parts_0,axiom,
    ( ~ c_in(X,c_Message_Oanalz(Y),tc_Message_Omsg)
    | c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).

cnf(cls_Message_OMPair__analz_0,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oanalz(Z),tc_Message_Omsg)
    | c_in(Y,c_Message_Oanalz(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

cnf(cls_Message_OMPair__analz_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oanalz(Z),tc_Message_Omsg)
    | c_in(X,c_Message_Oanalz(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).

cnf(cls_Public_OCrypt__Spy__analz__bad_0,axiom,
    ( ~ c_in(X,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X),Y),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,Z)),tc_Message_Omsg)
    | c_in(Y,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,Z)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OCrypt__Spy__analz__bad_0) ).

cnf(cls_Yahalom_OA__trusts__YM3_0,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(V,W)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
    | c_in(Y,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(V,W)))),c_Message_Omsg_OCrypt(c_Public_OshrK(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OKey(U))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OA__trusts__YM3_0) ).

cnf(cls_Yahalom_OB__trusts__YM4__shrK_0,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OKey(U))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
    | c_in(Y,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Z,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(Z,Y,U,X)),c_Message_Omsg_ONonce(v_sko__2jj(Z,Y,U,X)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OKey(U))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OB__trusts__YM4__shrK_0) ).

cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(Y,Z),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(Z,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

cnf(cls_Yahalom_Ounique__session__keys_0,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(V,W)))),X1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(U1,V1)))),W1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | Y1 = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys_0) ).

cnf(cls_Yahalom_Ounique__session__keys_1,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(V,W)))),X1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(U1,V1)))),W1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | Z1 = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_11,negated_conjecture,
    ( X != v_X
    | v_B != v_Ba
    | v_A != v_Aa ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_conjecture_8,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(cls_conjecture_9,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(17,plain,
    ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_1,cls_conjecture_6]) ).

cnf(19,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0,cls_conjecture_3,cls_conjecture_0]) ).

cnf(20,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_OB__trusts__YM4__shrK_0,cls_conjecture_0,cls_conjecture_8,cls_conjecture_9]) ).

cnf(25,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),Y)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,17]) ).

cnf(112,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_OMPair__analz_1,19]) ).

cnf(115,plain,
    ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
    inference('UR-RESOLVE',[status(thm)],[cls_Public_OCrypt__Spy__analz__bad_0,112,25]) ).

cnf(116,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz__conj__parts_0,112]) ).

cnf(117,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_OA__trusts__YM3_0,116,cls_conjecture_0,115]) ).

cnf(3094,plain,
    v_B = v_Ba,
    inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_Ounique__session__keys_1,20,cls_conjecture_0,117]) ).

cnf(3095,plain,
    ( X != v_X
    | v_A != v_Aa ),
    inference('REWRITE',[status(thm)],[cls_conjecture_11,3094,theory(equality)]) ).

cnf(3101,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference('REWRITE',[status(thm)],[117,3094,theory(equality)]) ).

cnf(3102,plain,
    v_A != v_Aa,
    inference('UR-RESOLVE',[status(thm)],[3095,theory(equality)]) ).

cnf(3103,plain,
    ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(Y,Z)))),U)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_Ounique__session__keys_0,3102,cls_conjecture_0,20]) ).

cnf(3104,plain,
    $false,
    inference('REWRITE',[status(thm)],[3101,3103]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Thu Jun 16 05:35:53 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.51  #<PACKAGE "SNARK-USER">
% 0.22/0.51  * 
% 0.22/0.51  SNARK-TPTP-OPTIONS
% 0.22/0.51  * 
% 0.22/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52   (USE-FACTORING :POS)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T05:35:53
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-16T05:35:53
% 2.18/2.38  
% 2.18/2.38  
% 2.18/2.38  #||
% 2.18/2.38  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.18/2.38  % SZS output start Refutation
% See solution above
% 2.18/2.39  ||#
% 2.18/2.39  
% 2.18/2.39  ; Summary of computation:
% 2.18/2.39  ;      3138 formulas have been input or derived (from 1561 formulas).
% 2.18/2.39  ;      3104 (99%) were retained.  Of these,
% 2.18/2.39  ;            9 ( 0%) were simplified or subsumed later,
% 2.18/2.39  ;         3095 (100%) are still being kept.
% 2.18/2.39  ; 
% 2.18/2.39  ; Run time in seconds excluding printing time:
% 2.18/2.39  ;     0.006   0%   Read assertion file          (1 call)
% 2.18/2.39  ;     0.001   0%   Assert                       (15 calls)
% 2.18/2.39  ;     0.481  26%   Process new row              (3,130 calls)
% 2.18/2.39  ;     0.423  23%   Resolution                   (3,120 calls)
% 2.18/2.39  ;     0.811  43%   Paramodulation               (1,560 calls)
% 2.18/2.39  ;     0.002   0%   Condensing                   (11 calls)
% 2.18/2.39  ;     0.000   0%   Forward subsumption          (11 calls)
% 2.18/2.39  ;     0.000   0%   Backward subsumption         (11 calls)
% 2.18/2.39  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 2.18/2.39  ;     0.048   3%   Forward simplification       (3,123 calls)
% 2.18/2.39  ;     0.053   3%   Backward simplification      (3,104 calls)
% 2.18/2.39  ;     0.000   0%   Ordering                     (3 calls)
% 2.18/2.39  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.18/2.39  ;     0.000   0%   Purity testing               (1 call)
% 2.18/2.39  ;     0.043   2%   Other
% 2.18/2.39  ;     1.868        Total
% 2.18/2.39  ;     1.872        Real time
% 2.18/2.39  ; 
% 2.18/2.39  ; Term-hash-array has 8,308 terms in all.
% 2.18/2.39  ; Feature-vector-row-index has 9 entries (10 at peak, 11 added, 2 deleted).
% 2.18/2.39  ; Feature-vector-row-index has 151 nodes (158 at peak, 163 added, 12 deleted).
% 2.18/2.39  ;  Retrieved 2 possibly forward subsuming rows in 11 calls.
% 2.18/2.39  ;  Retrieved 2 possibly backward subsumed rows in 11 calls.
% 2.18/2.39  ; Path-index has 8,302 entries (8,308 at peak, 8,335 added, 33 deleted).
% 2.18/2.39  ; Path-index has 28,275 nodes (28,297 at peak, 28,357 added, 82 deleted).
% 2.18/2.39  ; Trie-index has 8,302 entries (8,308 at peak, 8,335 added, 33 deleted).
% 2.18/2.39  ; Trie-index has 60,120 nodes (60,173 at peak, 60,379 added, 259 deleted).
% 2.18/2.39  ; Retrieved 5 generalization terms in 3,094 calls.
% 2.18/2.39  ; Retrieved 3,093 instance terms in 3,092 calls.
% 2.18/2.39  ; Retrieved 27,030 unifiable terms in 34,295 calls.
% 2.18/2.39  ; 
% 2.18/2.39  ; The agenda of rows to process has 1 entry:
% 2.18/2.39  ;     1 with value 31
% 2.18/2.39  ; The agenda of rows to give has 1542 entries:
% 2.18/2.39  ;     1 with value (4 9)           1 with value (4 30)         512 with value (4 49)
% 2.18/2.39  ;     1 with value (4 28)          2 with value (4 31)        1024 with value (4 50)
% 2.18/2.39  ;     1 with value (4 29)
% 2.18/2.39  Evaluation took:
% 2.18/2.39    1.873 seconds of real time
% 2.18/2.39    1.808957 seconds of user run time
% 2.18/2.39    0.064095 seconds of system run time
% 2.18/2.39    [Run times include 0.154 seconds GC run time.]
% 2.18/2.39    0 calls to %EVAL
% 2.18/2.39    0 page faults and
% 2.18/2.39    74,886,672 bytes consed.
% 2.18/2.39  :PROOF-FOUND
% 2.18/2.39  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T05:35:55
% 2.18/2.39  :PROOF-FOUND
% 2.18/2.39  * 
%------------------------------------------------------------------------------