TSTP Solution File: SWV302-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV302-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 16:23:48 EDT 2022
% Result : Unsatisfiable 0.42s 0.83s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWV302-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.07 % Command : bliksem %s
% 0.06/0.26 % Computer : n019.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % DateTime : Tue Jun 14 18:05:09 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.42/0.83 *** allocated 10000 integers for termspace/termends
% 0.42/0.83 *** allocated 10000 integers for clauses
% 0.42/0.83 *** allocated 10000 integers for justifications
% 0.42/0.83 Bliksem 1.12
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 Automatic Strategy Selection
% 0.42/0.83
% 0.42/0.83 Clauses:
% 0.42/0.83 [
% 0.42/0.83 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_x',
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), =( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ],
% 0.42/0.83 [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~(
% 0.42/0.83 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( X,
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ],
% 0.42/0.83 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), 'c_Event_Oused'(
% 0.42/0.83 'v_evs2' ), 'tc_Message_Omsg' ) ) ],
% 0.42/0.83 [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ],
% 0.42/0.83 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.42/0.83 ,
% 0.42/0.83 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.42/0.83 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 0.42/0.83 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.42/0.83 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.42/0.83 'tc_Message_Omsg' ) ],
% 0.42/0.83 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.42/0.83 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.42/0.83 'tc_Message_Omsg' ) ]
% 0.42/0.83 ] .
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 percentage equality = 0.071429, percentage horn = 0.875000
% 0.42/0.83 This is a problem with some equality
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 Options Used:
% 0.42/0.83
% 0.42/0.83 useres = 1
% 0.42/0.83 useparamod = 1
% 0.42/0.83 useeqrefl = 1
% 0.42/0.83 useeqfact = 1
% 0.42/0.83 usefactor = 1
% 0.42/0.83 usesimpsplitting = 0
% 0.42/0.83 usesimpdemod = 5
% 0.42/0.83 usesimpres = 3
% 0.42/0.83
% 0.42/0.83 resimpinuse = 1000
% 0.42/0.83 resimpclauses = 20000
% 0.42/0.83 substype = eqrewr
% 0.42/0.83 backwardsubs = 1
% 0.42/0.83 selectoldest = 5
% 0.42/0.83
% 0.42/0.83 litorderings [0] = split
% 0.42/0.83 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/0.83
% 0.42/0.83 termordering = kbo
% 0.42/0.83
% 0.42/0.83 litapriori = 0
% 0.42/0.83 termapriori = 1
% 0.42/0.83 litaposteriori = 0
% 0.42/0.83 termaposteriori = 0
% 0.42/0.83 demodaposteriori = 0
% 0.42/0.83 ordereqreflfact = 0
% 0.42/0.83
% 0.42/0.83 litselect = negord
% 0.42/0.83
% 0.42/0.83 maxweight = 15
% 0.42/0.83 maxdepth = 30000
% 0.42/0.83 maxlength = 115
% 0.42/0.83 maxnrvars = 195
% 0.42/0.83 excuselevel = 1
% 0.42/0.83 increasemaxweight = 1
% 0.42/0.83
% 0.42/0.83 maxselected = 10000000
% 0.42/0.83 maxnrclauses = 10000000
% 0.42/0.83
% 0.42/0.83 showgenerated = 0
% 0.42/0.83 showkept = 0
% 0.42/0.83 showselected = 0
% 0.42/0.83 showdeleted = 0
% 0.42/0.83 showresimp = 1
% 0.42/0.83 showstatus = 2000
% 0.42/0.83
% 0.42/0.83 prologoutput = 1
% 0.42/0.83 nrgoals = 5000000
% 0.42/0.83 totalproof = 1
% 0.42/0.83
% 0.42/0.83 Symbols occurring in the translation:
% 0.42/0.83
% 0.42/0.83 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/0.83 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 0.42/0.83 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.42/0.83 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/0.83 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/0.83 'v_B' [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.42/0.83 'c_Message_Oagent_OServer' [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.42/0.83 'v_NA' [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/0.83 'v_A' [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/0.83 'c_Message_Omsg_OAgent' [43, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.42/0.83 'v_x' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.42/0.83 'c_Public_OshrK' [45, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.42/0.83 'v_NB' [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.42/0.83 'c_Message_Omsg_OMPair' [47, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.42/0.83 'c_Message_Omsg_OCrypt' [48, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.42/0.83 'c_Event_Oevent_OSays' [49, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.42/0.83 'v_evs2' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.42/0.83 'tc_Event_Oevent' [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.42/0.83 'c_List_Oset' [52, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.42/0.83 'c_in' [53, 3] (w:1, o:69, a:1, s:1, b:0),
% 0.42/0.83 'v_NBa' [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.42/0.83 'c_Message_Omsg_ONonce' [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.42/0.83 'v_K' [56, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.42/0.83 'c_Message_Omsg_OKey' [57, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.42/0.83 'c_Message_Oagent_OSpy' [59, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.42/0.83 'c_Event_Oknows' [60, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.42/0.83 'c_Message_Oparts' [61, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.42/0.83 'tc_Message_Omsg' [62, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.42/0.83 'c_Event_Oused' [63, 1] (w:1, o:38, a:1, s:1, b:0).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 Starting Search:
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 Bliksems!, er is een bewijs:
% 0.42/0.83 % SZS status Unsatisfiable
% 0.42/0.83 % SZS output start Refutation
% 0.42/0.83
% 0.42/0.83 clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), =(
% 0.42/0.83 'c_Message_Omsg_ONonce'( 'v_NBa' ), 'v_NB' ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.42/0.83 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~(
% 0.42/0.83 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( X,
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), 'c_Event_Oused'(
% 0.42/0.83 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 3, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.42/0.83 , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.42/0.83 )
% 0.42/0.83 .
% 0.42/0.83 clause( 5, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.42/0.83 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.42/0.83 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.42/0.83 'tc_Message_Omsg' ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.42/0.83 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.42/0.83 'tc_Message_Omsg' ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 14, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 15, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.42/0.83 'v_NBa' ), X ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', 'v_evs2' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 19, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), Y ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 26, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 34, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', Y ) ), 'c_Message_Oparts'(
% 0.42/0.83 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.42/0.83 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 .
% 0.42/0.83 clause( 37, [] )
% 0.42/0.83 .
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 % SZS output end Refutation
% 0.42/0.83 found a proof!
% 0.42/0.83
% 0.42/0.83 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/0.83
% 0.42/0.83 initialclauses(
% 0.42/0.83 [ clause( 39, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), =( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ] )
% 0.42/0.83 , clause( 40, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.42/0.83 , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~(
% 0.42/0.83 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( X,
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 41, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ),
% 0.42/0.83 'c_Event_Oused'( 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 42, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' )
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , clause( 43, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.42/0.83 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.42/0.83 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.42/0.83 )
% 0.42/0.83 , clause( 44, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.42/0.83 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , clause( 45, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , clause( 46, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 ] ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 eqswap(
% 0.42/0.83 clause( 47, [ =( 'c_Message_Omsg_ONonce'( 'v_NBa' ), 'v_NB' ), 'c_in'(
% 0.42/0.83 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_x',
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.42/0.83 , clause( 39, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), =( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ] )
% 0.42/0.83 , 1, substitution( 0, [] )).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), =(
% 0.42/0.83 'c_Message_Omsg_ONonce'( 'v_NBa' ), 'v_NB' ) ] )
% 0.42/0.83 , clause( 47, [ =( 'c_Message_Omsg_ONonce'( 'v_NBa' ), 'v_NB' ), 'c_in'(
% 0.42/0.83 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_x',
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.42/0.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/0.83 ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.42/0.83 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~(
% 0.42/0.83 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( X,
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 40, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.42/0.83 , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~(
% 0.42/0.83 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( X,
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/0.83 1 ), ==>( 2, 2 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), 'c_Event_Oused'(
% 0.42/0.83 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 41, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ),
% 0.42/0.83 'c_Event_Oused'( 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 3, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , clause( 42, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' )
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.42/0.83 , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.42/0.83 )
% 0.42/0.83 , clause( 43, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.42/0.83 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.42/0.83 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.42/0.83 )
% 0.42/0.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 5, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.42/0.83 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , clause( 44, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.42/0.83 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/0.83 ), ==>( 1, 1 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.42/0.83 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.42/0.83 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , clause( 45, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/0.83 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.42/0.83 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.42/0.83 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , clause( 46, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/0.83 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 resolution(
% 0.42/0.83 clause( 55, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ),
% 0.42/0.83 'c_Event_Oused'( 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , 0, clause( 5, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.42/0.83 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.42/0.83 'c_Message_Omsg_ONonce'( 'v_NBa' ) ), :=( Y, 'v_evs2' )] )).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 14, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 55, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 resolution(
% 0.42/0.83 clause( 56, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.42/0.83 'v_NBa' ), X ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', 'v_evs2' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 14, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , 0, clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.42/0.83 'c_Message_Omsg_ONonce'( 'v_NBa' ) ), :=( Y, X ), :=( Z, 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', 'v_evs2' ) )] )).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 15, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.42/0.83 'v_NBa' ), X ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', 'v_evs2' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 56, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.42/0.83 'v_NBa' ), X ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', 'v_evs2' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 resolution(
% 0.42/0.83 clause( 57, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), X ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 15, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.42/0.83 'v_NBa' ), X ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.42/0.83 'c_Message_Oagent_OSpy', 'v_evs2' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , 0, clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.42/0.83 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), X ) ),
% 0.42/0.83 :=( Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) )] )).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 19, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), Y ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 57, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), X ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/0.83 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 resolution(
% 0.42/0.83 clause( 58, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.42/0.83 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.42/0.83 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.42/0.83 )
% 0.42/0.83 , 0, clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'(
% 0.42/0.83 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.42/0.83 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.42/0.83 , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~(
% 0.42/0.83 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( X,
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 resolution(
% 0.42/0.83 clause( 59, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.42/0.83 , clause( 58, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.42/0.83 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , 1, clause( 3, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B'
% 0.42/0.83 ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 26, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.42/0.83 , clause( 59, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.42/0.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 paramod(
% 0.42/0.83 clause( 61, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', Y ) ), 'c_Message_Oparts'(
% 0.42/0.83 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.42/0.83 'tc_Message_Omsg' ) ), 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.42/0.83 , clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), =(
% 0.42/0.83 'c_Message_Omsg_ONonce'( 'v_NBa' ), 'v_NB' ) ] )
% 0.42/0.83 , 1, clause( 19, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), Y ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.42/0.83 ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 resolution(
% 0.42/0.83 clause( 62, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', Y ) ), 'c_Message_Oparts'(
% 0.42/0.83 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.42/0.83 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 26, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.42/0.83 , 0, clause( 61, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', Y ) ), 'c_Message_Oparts'(
% 0.42/0.83 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.42/0.83 'tc_Message_Omsg' ) ), 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.42/0.83 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.42/0.83 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 0.42/0.83 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.42/0.83 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.42/0.83 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.42/0.83 , 1, substitution( 0, [ :=( X, 'v_x' )] ), substitution( 1, [ :=( X, X ),
% 0.42/0.83 :=( Y, Y )] )).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 34, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', Y ) ), 'c_Message_Oparts'(
% 0.42/0.83 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.42/0.83 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , clause( 62, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', Y ) ), 'c_Message_Oparts'(
% 0.42/0.83 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.42/0.83 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/0.83 )] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 resolution(
% 0.42/0.83 clause( 63, [] )
% 0.42/0.83 , clause( 34, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.42/0.83 'c_Message_Omsg_OMPair'( 'v_NB', Y ) ), 'c_Message_Oparts'(
% 0.42/0.83 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.42/0.83 'tc_Message_Omsg' ) ) ] )
% 0.42/0.83 , 0, clause( 3, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B'
% 0.42/0.83 ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.42/0.83 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.42/0.83 ), 'tc_Message_Omsg' ) ] )
% 0.42/0.83 , 0, substitution( 0, [ :=( X, 'c_Public_OshrK'( 'v_B' ) ), :=( Y,
% 0.42/0.83 'c_Message_Omsg_OKey'( 'v_K' ) )] ), substitution( 1, [] )).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 subsumption(
% 0.42/0.83 clause( 37, [] )
% 0.42/0.83 , clause( 63, [] )
% 0.42/0.83 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 end.
% 0.42/0.83
% 0.42/0.83 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/0.83
% 0.42/0.83 Memory use:
% 0.42/0.83
% 0.42/0.83 space for terms: 1103
% 0.42/0.83 space for clauses: 4366
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 clauses generated: 47
% 0.42/0.83 clauses kept: 38
% 0.42/0.83 clauses selected: 14
% 0.42/0.83 clauses deleted: 2
% 0.42/0.83 clauses inuse deleted: 0
% 0.42/0.83
% 0.42/0.83 subsentry: 61
% 0.42/0.83 literals s-matched: 35
% 0.42/0.83 literals matched: 35
% 0.42/0.83 full subsumption: 0
% 0.42/0.83
% 0.42/0.83 checksum: -1307433028
% 0.42/0.83
% 0.42/0.83
% 0.42/0.83 Bliksem ended
%------------------------------------------------------------------------------