TSTP Solution File: SWV312-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV312-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 : 0s
% DateTime : Wed Jul 20 16:23:54 EDT 2022
% Result : Unsatisfiable 0.73s 1.08s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV312-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Thu Jun 16 06:43:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.08 *** allocated 10000 integers for termspace/termends
% 0.73/1.08 *** allocated 10000 integers for clauses
% 0.73/1.08 *** allocated 10000 integers for justifications
% 0.73/1.08 Bliksem 1.12
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Automatic Strategy Selection
% 0.73/1.08
% 0.73/1.08 Clauses:
% 0.73/1.08 [
% 0.73/1.08 [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ]
% 0.73/1.08 ,
% 0.73/1.08 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( X,
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.73/1.08 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ],
% 0.73/1.08 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_x',
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.73/1.08 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.73/1.08 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.73/1.08 ] .
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 percentage equality = 0.000000, percentage horn = 1.000000
% 0.73/1.08 This is a near-Horn, non-equality problem
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Options Used:
% 0.73/1.08
% 0.73/1.08 useres = 1
% 0.73/1.08 useparamod = 0
% 0.73/1.08 useeqrefl = 0
% 0.73/1.08 useeqfact = 0
% 0.73/1.08 usefactor = 1
% 0.73/1.08 usesimpsplitting = 0
% 0.73/1.08 usesimpdemod = 0
% 0.73/1.08 usesimpres = 4
% 0.73/1.08
% 0.73/1.08 resimpinuse = 1000
% 0.73/1.08 resimpclauses = 20000
% 0.73/1.08 substype = standard
% 0.73/1.08 backwardsubs = 1
% 0.73/1.08 selectoldest = 5
% 0.73/1.08
% 0.73/1.08 litorderings [0] = split
% 0.73/1.08 litorderings [1] = liftord
% 0.73/1.08
% 0.73/1.08 termordering = none
% 0.73/1.08
% 0.73/1.08 litapriori = 1
% 0.73/1.08 termapriori = 0
% 0.73/1.08 litaposteriori = 0
% 0.73/1.08 termaposteriori = 0
% 0.73/1.08 demodaposteriori = 0
% 0.73/1.08 ordereqreflfact = 0
% 0.73/1.08
% 0.73/1.08 litselect = negative
% 0.73/1.08
% 0.73/1.08 maxweight = 30000
% 0.73/1.08 maxdepth = 30000
% 0.73/1.08 maxlength = 115
% 0.73/1.08 maxnrvars = 195
% 0.73/1.08 excuselevel = 0
% 0.73/1.08 increasemaxweight = 0
% 0.73/1.08
% 0.73/1.08 maxselected = 10000000
% 0.73/1.08 maxnrclauses = 10000000
% 0.73/1.08
% 0.73/1.08 showgenerated = 0
% 0.73/1.08 showkept = 0
% 0.73/1.08 showselected = 0
% 0.73/1.08 showdeleted = 0
% 0.73/1.08 showresimp = 1
% 0.73/1.08 showstatus = 2000
% 0.73/1.08
% 0.73/1.08 prologoutput = 1
% 0.73/1.08 nrgoals = 5000000
% 0.73/1.08 totalproof = 1
% 0.73/1.08
% 0.73/1.08 Symbols occurring in the translation:
% 0.73/1.08
% 0.73/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.08 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.08 ! [4, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.08 'c_Message_Oagent_OServer' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.08 'v_B' [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.73/1.08 'v_NA' [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.08 'v_A' [42, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.08 'c_Public_OshrK' [43, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.08 'v_K' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.08 'c_Message_Omsg_OKey' [45, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.08 'c_Message_Omsg_OMPair' [46, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.73/1.08 'c_Message_Omsg_OCrypt' [47, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.73/1.08 'v_NB' [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.08 'c_Event_Oevent_OSays' [49, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.73/1.08 'v_evs4' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.73/1.08 'tc_Event_Oevent' [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.73/1.08 'c_List_Oset' [52, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.73/1.08 'c_in' [53, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.73/1.08 'c_Message_Omsg_OAgent' [54, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.73/1.08 'v_x' [56, 0] (w:1, o:18, a:1, s:1, b:0).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Starting Search:
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Bliksems!, er is een bewijs:
% 0.73/1.08 % SZS status Unsatisfiable
% 0.73/1.08 % SZS output start Refutation
% 0.73/1.08
% 0.73/1.08 clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.73/1.08 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 1, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.73/1.08 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.73/1.08 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.73/1.08 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.73/1.08 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 2, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.73/1.08 , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.73/1.08 )
% 0.73/1.08 .
% 0.73/1.08 clause( 3, [] )
% 0.73/1.08 .
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 % SZS output end Refutation
% 0.73/1.08 found a proof!
% 0.73/1.08
% 0.73/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.08
% 0.73/1.08 initialclauses(
% 0.73/1.08 [ clause( 5, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.73/1.08 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.73/1.08 , clause( 6, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.73/1.08 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.73/1.08 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.73/1.08 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.73/1.08 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.73/1.08 , clause( 7, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.73/1.08 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.73/1.08 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.73/1.08 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.73/1.08 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.73/1.08 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.73/1.08 )
% 0.73/1.08 ] ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.73/1.08 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.73/1.08 , clause( 5, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.73/1.08 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.73/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 1, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.73/1.08 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.73/1.08 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.73/1.08 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.73/1.08 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.73/1.08 , clause( 6, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.73/1.08 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.73/1.08 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.73/1.08 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.73/1.08 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 resolution(
% 0.73/1.08 clause( 8, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.73/1.08 , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.73/1.08 )
% 0.73/1.08 , clause( 1, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.73/1.08 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.73/1.08 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.73/1.08 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.73/1.08 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.73/1.08 , 0, clause( 7, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.73/1.08 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.73/1.08 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.73/1.08 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.73/1.08 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.73/1.08 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.73/1.08 )
% 0.73/1.08 , 0, substitution( 0, [ :=( X, 'v_x' )] ), substitution( 1, [] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 2, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.73/1.08 , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.73/1.08 )
% 0.73/1.08 , clause( 8, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.73/1.08 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.73/1.08 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.73/1.08 )
% 0.73/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 resolution(
% 0.73/1.08 clause( 9, [] )
% 0.73/1.08 , clause( 2, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.73/1.08 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.73/1.08 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.73/1.08 )
% 0.73/1.08 , 0, clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'(
% 0.73/1.08 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.73/1.08 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.73/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.73/1.08 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.73/1.08 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.73/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 3, [] )
% 0.73/1.08 , clause( 9, [] )
% 0.73/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 end.
% 0.73/1.08
% 0.73/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.08
% 0.73/1.08 Memory use:
% 0.73/1.08
% 0.73/1.08 space for terms: 327
% 0.73/1.08 space for clauses: 748
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 clauses generated: 4
% 0.73/1.08 clauses kept: 4
% 0.73/1.08 clauses selected: 0
% 0.73/1.08 clauses deleted: 1
% 0.73/1.08 clauses inuse deleted: 0
% 0.73/1.08
% 0.73/1.08 subsentry: 0
% 0.73/1.08 literals s-matched: 0
% 0.73/1.08 literals matched: 0
% 0.73/1.08 full subsumption: 0
% 0.73/1.08
% 0.73/1.08 checksum: -1836524368
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Bliksem ended
%------------------------------------------------------------------------------