TSTP Solution File: SWV342-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV342-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 16:24:17 EDT 2022
% Result : Unsatisfiable 0.45s 1.56s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.59 % Problem : SWV342-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.59 % Command : bliksem %s
% 0.13/0.81 % Computer : n022.cluster.edu
% 0.13/0.81 % Model : x86_64 x86_64
% 0.13/0.81 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.81 % Memory : 8042.1875MB
% 0.13/0.81 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.81 % CPULimit : 300
% 0.13/0.81 % DateTime : Thu Jun 16 01:45:48 EDT 2022
% 0.13/0.81 % CPUTime :
% 0.45/1.56 *** allocated 10000 integers for termspace/termends
% 0.45/1.56 *** allocated 10000 integers for clauses
% 0.45/1.56 *** allocated 10000 integers for justifications
% 0.45/1.56 Bliksem 1.12
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 Automatic Strategy Selection
% 0.45/1.56
% 0.45/1.56 Clauses:
% 0.45/1.56 [
% 0.45/1.56 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( 'v_evs3' )
% 0.45/1.56 , 'tc_Message_Omsg' ) ) ],
% 0.45/1.56 [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_A',
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.45/1.56 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.45/1.56 , 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ]
% 0.45/1.56 ,
% 0.45/1.56 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T,
% 0.45/1.56 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 0.45/1.56 ,
% 0.45/1.56 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.56 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 0.45/1.56 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ],
% 0.45/1.56 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ],
% 0.45/1.56 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ],
% 0.45/1.56 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'(
% 0.45/1.56 Y ), 'tc_Message_Omsg' ) ],
% 0.45/1.56 [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'(
% 0.45/1.56 X ) ) ]
% 0.45/1.56 ] .
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 percentage equality = 0.066667, percentage horn = 1.000000
% 0.45/1.56 This is a problem with some equality
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 Options Used:
% 0.45/1.56
% 0.45/1.56 useres = 1
% 0.45/1.56 useparamod = 1
% 0.45/1.56 useeqrefl = 1
% 0.45/1.56 useeqfact = 1
% 0.45/1.56 usefactor = 1
% 0.45/1.56 usesimpsplitting = 0
% 0.45/1.56 usesimpdemod = 5
% 0.45/1.56 usesimpres = 3
% 0.45/1.56
% 0.45/1.56 resimpinuse = 1000
% 0.45/1.56 resimpclauses = 20000
% 0.45/1.56 substype = eqrewr
% 0.45/1.56 backwardsubs = 1
% 0.45/1.56 selectoldest = 5
% 0.45/1.56
% 0.45/1.56 litorderings [0] = split
% 0.45/1.56 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.56
% 0.45/1.56 termordering = kbo
% 0.45/1.56
% 0.45/1.56 litapriori = 0
% 0.45/1.56 termapriori = 1
% 0.45/1.56 litaposteriori = 0
% 0.45/1.56 termaposteriori = 0
% 0.45/1.56 demodaposteriori = 0
% 0.45/1.56 ordereqreflfact = 0
% 0.45/1.56
% 0.45/1.56 litselect = negord
% 0.45/1.56
% 0.45/1.56 maxweight = 15
% 0.45/1.56 maxdepth = 30000
% 0.45/1.56 maxlength = 115
% 0.45/1.56 maxnrvars = 195
% 0.45/1.56 excuselevel = 1
% 0.45/1.56 increasemaxweight = 1
% 0.45/1.56
% 0.45/1.56 maxselected = 10000000
% 0.45/1.56 maxnrclauses = 10000000
% 0.45/1.56
% 0.45/1.56 showgenerated = 0
% 0.45/1.56 showkept = 0
% 0.45/1.56 showselected = 0
% 0.45/1.56 showdeleted = 0
% 0.45/1.56 showresimp = 1
% 0.45/1.56 showstatus = 2000
% 0.45/1.56
% 0.45/1.56 prologoutput = 1
% 0.45/1.56 nrgoals = 5000000
% 0.45/1.56 totalproof = 1
% 0.45/1.56
% 0.45/1.56 Symbols occurring in the translation:
% 0.45/1.56
% 0.45/1.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.56 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 0.45/1.56 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 0.45/1.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.56 'v_K' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.45/1.56 'c_Message_Omsg_OKey' [40, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.45/1.56 'v_evs3' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.45/1.56 'c_Event_Oused' [42, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.45/1.56 'tc_Message_Omsg' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.45/1.56 'c_in' [44, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.45/1.56 'c_Message_Oagent_OServer' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.45/1.56 'v_A' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.45/1.56 'c_Public_OshrK' [47, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.45/1.56 'v_B' [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.45/1.56 'c_Message_Omsg_OAgent' [49, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.45/1.56 'v_na' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.45/1.56 'v_nb' [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.45/1.56 'c_Message_Omsg_OMPair' [52, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.45/1.56 'c_Message_Omsg_OCrypt' [53, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.45/1.56 'c_Event_Oevent_OSays' [54, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.45/1.56 'tc_Event_Oevent' [55, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.45/1.56 'c_List_Oset' [56, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.45/1.56 'c_Message_Oagent_OSpy' [61, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.45/1.56 'c_Event_Oknows' [62, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.45/1.56 'c_Message_Oanalz' [63, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.45/1.56 'c_Message_Oparts' [65, 1] (w:1, o:37, a:1, s:1, b:0).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 Starting Search:
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 Bliksems!, er is een bewijs:
% 0.45/1.56 % SZS status Unsatisfiable
% 0.45/1.56 % SZS output start Refutation
% 0.45/1.56
% 0.45/1.56 clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.45/1.56 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.45/1.56 'v_A', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.45/1.56 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.45/1.56 , 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 2, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.45/1.56 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.45/1.56 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.56 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'(
% 0.45/1.56 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.45/1.56 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.45/1.56 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 7, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 8, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.45/1.56 'c_Message_Oparts'( X ) ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 10, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg' ) )
% 0.45/1.56 , 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 29, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.45/1.56 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 31, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' )
% 0.45/1.56 ) ) ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 75, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Oparts'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 77, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'(
% 0.45/1.56 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.45/1.56 , 'v_evs3' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 101, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.45/1.56 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.45/1.56 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.45/1.56 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 173, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.45/1.56 'c_Message_Omsg_OCrypt'( Y, 'c_Message_Omsg_OMPair'( Z,
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 .
% 0.45/1.56 clause( 230, [] )
% 0.45/1.56 .
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 % SZS output end Refutation
% 0.45/1.56 found a proof!
% 0.45/1.56
% 0.45/1.56 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.56
% 0.45/1.56 initialclauses(
% 0.45/1.56 [ clause( 232, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.45/1.56 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 233, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.45/1.56 , 'v_A', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' )
% 0.45/1.56 ) ) ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 0.45/1.56 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.45/1.56 , clause( 234, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 0.45/1.56 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.45/1.56 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 235, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.56 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 236, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.56 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.56 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 237, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 238, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 239, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 240, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.45/1.56 'c_Message_Oparts'( X ) ) ] )
% 0.45/1.56 ] ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.45/1.56 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 232, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.45/1.56 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.45/1.56 'v_A', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.45/1.56 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.45/1.56 , 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.45/1.56 , clause( 233, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.45/1.56 , 'v_A', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' )
% 0.45/1.56 ) ) ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 0.45/1.56 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.45/1.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 2, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.45/1.56 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.45/1.56 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 234, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 0.45/1.56 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.45/1.56 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.56 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.56 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 235, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.56 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.56 ), ==>( 1, 1 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'(
% 0.45/1.56 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 236, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.56 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.56 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.56 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.45/1.56 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 237, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.56 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.45/1.56 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 238, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.56 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 7, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 239, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.56 ), ==>( 1, 1 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 8, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.45/1.56 'c_Message_Oparts'( X ) ) ] )
% 0.45/1.56 , clause( 240, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.45/1.56 'c_Message_Oparts'( X ) ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 paramod(
% 0.45/1.56 clause( 243, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.45/1.56 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 8, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.45/1.56 'c_Message_Oparts'( X ) ) ] )
% 0.45/1.56 , 0, clause( 7, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , 1, 2, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.45/1.56 :=( Y, 'c_Message_Oanalz'( Y ) )] )).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 10, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg' ) )
% 0.45/1.56 , 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 243, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.45/1.56 ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.56 ), ==>( 1, 0 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 resolution(
% 0.45/1.56 clause( 244, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.45/1.56 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , 0, clause( 10, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg'
% 0.45/1.56 ) ), 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.56 substitution( 1, [ :=( X, Z ), :=( Y, 'c_Message_Omsg_OCrypt'( X, Y ) )] )
% 0.45/1.56 ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 29, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.45/1.56 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 244, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 0.45/1.56 ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.45/1.56 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 resolution(
% 0.45/1.56 clause( 245, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' )
% 0.45/1.56 ) ) ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 2, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'(
% 0.45/1.56 T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.45/1.56 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , 0, clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'(
% 0.45/1.56 'c_Message_Oagent_OServer', 'v_A', 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.45/1.56 , 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.45/1.56 , 0, substitution( 0, [ :=( X, 'c_Message_Oagent_OServer' ), :=( Y, 'v_A' )
% 0.45/1.56 , :=( Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' )
% 0.45/1.56 ) ) ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ), :=( T, 'v_evs3' )] ),
% 0.45/1.56 substitution( 1, [] )).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 31, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' )
% 0.45/1.56 ) ) ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , clause( 245, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' )
% 0.45/1.56 ) ) ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 resolution(
% 0.45/1.56 clause( 246, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.45/1.56 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.45/1.56 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.45/1.56 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , 0, clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.56 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.56 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Message_Omsg_OKey'(
% 0.45/1.56 'v_K' ) ), :=( Y, 'v_evs3' )] )).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 75, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Oparts'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 246, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.45/1.56 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.45/1.56 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 resolution(
% 0.45/1.56 clause( 247, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'(
% 0.45/1.56 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.45/1.56 , 'v_evs3' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 75, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.45/1.56 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.45/1.56 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , 0, clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.56 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ), :=( Z, 'c_Event_Oknows'(
% 0.45/1.56 'c_Message_Oagent_OSpy', 'v_evs3' ) )] )).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 77, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'(
% 0.45/1.56 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.45/1.56 , 'v_evs3' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 247, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.56 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 resolution(
% 0.45/1.56 clause( 248, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y,
% 0.45/1.56 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.45/1.56 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.45/1.56 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 77, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.56 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , 0, clause( 29, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' )
% 0.45/1.56 , ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.45/1.56 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), :=( Y,
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ), :=( Z, Y )] )
% 0.45/1.56 ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 101, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.45/1.56 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.45/1.56 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.45/1.56 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 248, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y,
% 0.45/1.56 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.45/1.56 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.45/1.56 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.56 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 resolution(
% 0.45/1.56 clause( 249, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z,
% 0.45/1.56 'c_Message_Omsg_OCrypt'( X, 'c_Message_Omsg_OMPair'( Y,
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 101, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.45/1.56 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.45/1.56 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.45/1.56 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , 0, clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.56 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.56 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.45/1.56 , Z ), :=( Y, 'c_Message_Omsg_OCrypt'( X, 'c_Message_Omsg_OMPair'( Y,
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), :=( Z, 'c_Event_Oknows'(
% 0.45/1.56 'c_Message_Oagent_OSpy', 'v_evs3' ) )] )).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 173, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.45/1.56 'c_Message_Omsg_OCrypt'( Y, 'c_Message_Omsg_OMPair'( Z,
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , clause( 249, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z,
% 0.45/1.56 'c_Message_Omsg_OCrypt'( X, 'c_Message_Omsg_OMPair'( Y,
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.45/1.56 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 resolution(
% 0.45/1.56 clause( 250, [] )
% 0.45/1.56 , clause( 173, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.45/1.56 'c_Message_Omsg_OCrypt'( Y, 'c_Message_Omsg_OMPair'( Z,
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ) ] )
% 0.45/1.56 , 0, clause( 31, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.45/1.56 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' )
% 0.45/1.56 ) ) ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.45/1.56 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), 'c_Message_Oanalz'(
% 0.45/1.56 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.45/1.56 'tc_Message_Omsg' ) ] )
% 0.45/1.56 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.45/1.56 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.45/1.56 'c_Message_Omsg_OMPair'( 'v_na', 'v_nb' ) ) ) ) ), :=( Y,
% 0.45/1.56 'c_Public_OshrK'( 'v_B' ) ), :=( Z, 'c_Message_Omsg_OAgent'( 'v_A' ) )] )
% 0.45/1.56 , substitution( 1, [] )).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 subsumption(
% 0.45/1.56 clause( 230, [] )
% 0.45/1.56 , clause( 250, [] )
% 0.45/1.56 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 end.
% 0.45/1.56
% 0.45/1.56 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.56
% 0.45/1.56 Memory use:
% 0.45/1.56
% 0.45/1.56 space for terms: 3647
% 0.45/1.56 space for clauses: 16203
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 clauses generated: 1176
% 0.45/1.56 clauses kept: 231
% 0.45/1.56 clauses selected: 85
% 0.45/1.56 clauses deleted: 1
% 0.45/1.56 clauses inuse deleted: 0
% 0.45/1.56
% 0.45/1.56 subsentry: 2430
% 0.45/1.56 literals s-matched: 2425
% 0.45/1.56 literals matched: 2425
% 0.45/1.56 full subsumption: 0
% 0.45/1.56
% 0.45/1.56 checksum: -1391658274
% 0.45/1.56
% 0.45/1.56
% 0.45/1.56 Bliksem ended
%------------------------------------------------------------------------------