TSTP Solution File: SWV352-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV352-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 16:24:26 EDT 2022
% Result : Unsatisfiable 0.83s 1.20s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV352-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 15 11:44:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.83/1.20 *** allocated 10000 integers for termspace/termends
% 0.83/1.20 *** allocated 10000 integers for clauses
% 0.83/1.20 *** allocated 10000 integers for justifications
% 0.83/1.20 Bliksem 1.12
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 Automatic Strategy Selection
% 0.83/1.20
% 0.83/1.20 Clauses:
% 0.83/1.20 [
% 0.83/1.20 [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ],
% 0.83/1.20 [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_Aa',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.83/1.20 'v_Aa' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.83/1.20 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.83/1.20 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.83/1.20 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ) ],
% 0.83/1.20 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T,
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ],
% 0.83/1.20 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.83/1.20 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.83/1.20 'tc_Message_Omsg' ) ],
% 0.83/1.20 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'(
% 0.83/1.20 Y ), 'tc_Message_Omsg' ) ],
% 0.83/1.20 [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'(
% 0.83/1.20 X ) ) ],
% 0.83/1.20 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.83/1.20 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ]
% 0.83/1.20 ,
% 0.83/1.20 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.83/1.20 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 0.83/1.20 , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.83/1.20 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.83/1.20 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.83/1.20 ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ]
% 0.83/1.20 ] .
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 percentage equality = 0.047619, percentage horn = 1.000000
% 0.83/1.20 This is a problem with some equality
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 Options Used:
% 0.83/1.20
% 0.83/1.20 useres = 1
% 0.83/1.20 useparamod = 1
% 0.83/1.20 useeqrefl = 1
% 0.83/1.20 useeqfact = 1
% 0.83/1.20 usefactor = 1
% 0.83/1.20 usesimpsplitting = 0
% 0.83/1.20 usesimpdemod = 5
% 0.83/1.20 usesimpres = 3
% 0.83/1.20
% 0.83/1.20 resimpinuse = 1000
% 0.83/1.20 resimpclauses = 20000
% 0.83/1.20 substype = eqrewr
% 0.83/1.20 backwardsubs = 1
% 0.83/1.20 selectoldest = 5
% 0.83/1.20
% 0.83/1.20 litorderings [0] = split
% 0.83/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.20
% 0.83/1.20 termordering = kbo
% 0.83/1.20
% 0.83/1.20 litapriori = 0
% 0.83/1.20 termapriori = 1
% 0.83/1.20 litaposteriori = 0
% 0.83/1.20 termaposteriori = 0
% 0.83/1.20 demodaposteriori = 0
% 0.83/1.20 ordereqreflfact = 0
% 0.83/1.20
% 0.83/1.20 litselect = negord
% 0.83/1.20
% 0.83/1.20 maxweight = 15
% 0.83/1.20 maxdepth = 30000
% 0.83/1.20 maxlength = 115
% 0.83/1.20 maxnrvars = 195
% 0.83/1.20 excuselevel = 1
% 0.83/1.20 increasemaxweight = 1
% 0.83/1.20
% 0.83/1.20 maxselected = 10000000
% 0.83/1.20 maxnrclauses = 10000000
% 0.83/1.20
% 0.83/1.20 showgenerated = 0
% 0.83/1.20 showkept = 0
% 0.83/1.20 showselected = 0
% 0.83/1.20 showdeleted = 0
% 0.83/1.20 showresimp = 1
% 0.83/1.20 showstatus = 2000
% 0.83/1.20
% 0.83/1.20 prologoutput = 1
% 0.83/1.20 nrgoals = 5000000
% 0.83/1.20 totalproof = 1
% 0.83/1.20
% 0.83/1.20 Symbols occurring in the translation:
% 0.83/1.20
% 0.83/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.20 . [1, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.83/1.20 ! [4, 1] (w:0, o:37, a:1, s:1, b:0),
% 0.83/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.20 'v_evso' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.83/1.20 'c_Yahalom_Oyahalom' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.83/1.20 'tc_Event_Oevent' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.83/1.20 'tc_List_Olist' [42, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.83/1.20 'c_in' [43, 3] (w:1, o:79, a:1, s:1, b:0),
% 0.83/1.20 'c_Message_Oagent_OServer' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.83/1.20 'v_Aa' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.83/1.20 'c_Public_OshrK' [46, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.83/1.20 'v_Ba' [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.83/1.20 'c_Message_Omsg_OAgent' [48, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.83/1.20 'v_K' [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.83/1.20 'c_Message_Omsg_OKey' [50, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.83/1.20 'v_NB' [51, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.83/1.20 'c_Message_Omsg_ONonce' [52, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.83/1.20 'v_NBa' [53, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.83/1.20 'c_Message_Omsg_OMPair' [54, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.83/1.20 'c_Message_Omsg_OCrypt' [55, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.83/1.20 'v_X' [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.83/1.20 'c_Event_Oevent_OSays' [57, 3] (w:1, o:80, a:1, s:1, b:0),
% 0.83/1.20 'c_List_Oset' [58, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.83/1.20 'v_B' [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.83/1.20 'v_A' [60, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.83/1.20 'v_NA' [61, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.83/1.20 'c_Message_Oagent_OSpy' [62, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.83/1.20 'c_Event_Oknows' [63, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.83/1.20 'c_Message_Oanalz' [64, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.83/1.20 'tc_Message_Omsg' [65, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.83/1.20 'c_Message_Oparts' [72, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.83/1.20 'c_Event_Oevent_OGets' [73, 2] (w:1, o:78, a:1, s:1, b:0).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 Starting Search:
% 0.83/1.20
% 0.83/1.20 Resimplifying inuse:
% 0.83/1.20 Done
% 0.83/1.20
% 0.83/1.20 Failed to find proof!
% 0.83/1.20 maxweight = 15
% 0.83/1.20 maxnrclauses = 10000000
% 0.83/1.20 Generated: 1714
% 0.83/1.20 Kept: 88
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 The strategy used was not complete!
% 0.83/1.20
% 0.83/1.20 Increased maxweight to 16
% 0.83/1.20
% 0.83/1.20 Starting Search:
% 0.83/1.20
% 0.83/1.20 Resimplifying inuse:
% 0.83/1.20 Done
% 0.83/1.20
% 0.83/1.20 Failed to find proof!
% 0.83/1.20 maxweight = 16
% 0.83/1.20 maxnrclauses = 10000000
% 0.83/1.20 Generated: 2660
% 0.83/1.20 Kept: 111
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 The strategy used was not complete!
% 0.83/1.20
% 0.83/1.20 Increased maxweight to 17
% 0.83/1.20
% 0.83/1.20 Starting Search:
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 Bliksems!, er is een bewijs:
% 0.83/1.20 % SZS status Unsatisfiable
% 0.83/1.20 % SZS output start Refutation
% 0.83/1.20
% 0.83/1.20 clause( 0, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'v_Aa', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) )
% 0.83/1.20 ) ), 'v_X' ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ),
% 0.83/1.20 'tc_Event_Oevent' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 2, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.83/1.20 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.83/1.20 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.83/1.20 ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 3, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.83/1.20 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.83/1.20 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 6, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.83/1.20 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 7, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.83/1.20 'c_Message_Oparts'( X ) ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 8, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 9, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.83/1.20 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 0.83/1.20 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.83/1.20 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 10, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 13, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg' ) )
% 0.83/1.20 , 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 32, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.83/1.20 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.83/1.20 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 33, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.83/1.20 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), Y, 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 47, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', 'v_evso' ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 70, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.83/1.20 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 85, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 104, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.83/1.20 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.83/1.20 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 122, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.83/1.20 'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_List_Oset'( 'v_evso',
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 129, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 145, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' )
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ), 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 146, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 .
% 0.83/1.20 clause( 148, [] )
% 0.83/1.20 .
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 % SZS output end Refutation
% 0.83/1.20 found a proof!
% 0.83/1.20
% 0.83/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.83/1.20
% 0.83/1.20 initialclauses(
% 0.83/1.20 [ clause( 150, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ] )
% 0.83/1.20 , clause( 151, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.83/1.20 , 'v_Aa', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) )
% 0.83/1.20 ) ), 'v_X' ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ),
% 0.83/1.20 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , clause( 152, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.83/1.20 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.83/1.20 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.83/1.20 ] )
% 0.83/1.20 , clause( 153, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 154, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 0.83/1.20 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 155, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.83/1.20 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.83/1.20 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 156, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.83/1.20 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 157, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.83/1.20 'c_Message_Oparts'( X ) ) ] )
% 0.83/1.20 , clause( 158, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 159, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.83/1.20 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 0.83/1.20 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.83/1.20 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , clause( 160, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 ] ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 0, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ] )
% 0.83/1.20 , clause( 150, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ] )
% 0.83/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'v_Aa', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) )
% 0.83/1.20 ) ), 'v_X' ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ),
% 0.83/1.20 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , clause( 151, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.83/1.20 , 'v_Aa', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) )
% 0.83/1.20 ) ), 'v_X' ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ),
% 0.83/1.20 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 2, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.83/1.20 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.83/1.20 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.83/1.20 ] )
% 0.83/1.20 , clause( 152, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.83/1.20 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.83/1.20 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.83/1.20 ] )
% 0.83/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 3, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 153, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.83/1.20 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 154, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 0.83/1.20 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.83/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.83/1.20 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 155, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.83/1.20 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.83/1.20 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.83/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 6, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.83/1.20 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 156, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.83/1.20 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.83/1.20 ), ==>( 1, 1 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 7, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.83/1.20 'c_Message_Oparts'( X ) ) ] )
% 0.83/1.20 , clause( 157, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.83/1.20 'c_Message_Oparts'( X ) ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 8, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 158, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.83/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 9, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.83/1.20 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 0.83/1.20 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.83/1.20 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , clause( 159, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.83/1.20 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 0.83/1.20 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.83/1.20 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.83/1.20 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 0.83/1.20 , 1 ), ==>( 2, 2 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 10, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 160, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.83/1.20 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.83/1.20 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 paramod(
% 0.83/1.20 clause( 167, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.83/1.20 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 7, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.83/1.20 'c_Message_Oparts'( X ) ) ] )
% 0.83/1.20 , 0, clause( 6, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.83/1.20 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 1, 2, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.83/1.20 :=( Y, 'c_Message_Oanalz'( Y ) )] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 13, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg' ) )
% 0.83/1.20 , 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 167, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.83/1.20 ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.83/1.20 ), ==>( 1, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 168, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.83/1.20 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.83/1.20 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.83/1.20 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.83/1.20 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 0, clause( 13, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg'
% 0.83/1.20 ) ), 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.83/1.20 substitution( 1, [ :=( X, Z ), :=( Y, 'c_Message_Omsg_OMPair'( X, Y ) )] )
% 0.83/1.20 ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 32, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.83/1.20 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.83/1.20 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 168, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 0.83/1.20 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.83/1.20 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.83/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 169, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.83/1.20 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.83/1.20 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.83/1.20 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 0, clause( 6, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.83/1.20 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.83/1.20 substitution( 1, [ :=( X, 'c_Message_Omsg_OMPair'( X, Y ) ), :=( Y, Z )] )
% 0.83/1.20 ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 33, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.83/1.20 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), Y, 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 169, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 0.83/1.20 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.83/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 170, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', 'v_evso' ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'(
% 0.83/1.20 T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 0, clause( 2, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.83/1.20 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.83/1.20 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.83/1.20 ] )
% 0.83/1.20 , 0, substitution( 0, [ :=( X, 'v_B' ), :=( Y, 'c_Message_Oagent_OServer' )
% 0.83/1.20 , :=( Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), :=( T, 'v_evso' )] ),
% 0.83/1.20 substitution( 1, [] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 47, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', 'v_evso' ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 170, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', 'v_evso' ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 171, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.83/1.20 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 8, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 0, clause( 0, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ] )
% 0.83/1.20 , 0, substitution( 0, [ :=( X, 'v_evso' ), :=( Y, X ), :=( Z, Y )] ),
% 0.83/1.20 substitution( 1, [] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 70, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.83/1.20 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 171, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.83/1.20 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.83/1.20 ), ==>( 1, 1 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 172, [ ~( 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), 'c_in'( 'c_Event_Oevent_OGets'(
% 0.83/1.20 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) )
% 0.83/1.20 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.83/1.20 ] )
% 0.83/1.20 , clause( 9, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.83/1.20 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 0.83/1.20 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.83/1.20 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 0.83/1.20 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , 1, clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'(
% 0.83/1.20 'c_Message_Oagent_OServer', 'v_Aa', 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.83/1.20 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , 0, substitution( 0, [ :=( X, 'v_evso' ), :=( Y, 'v_Aa' ), :=( Z, 'v_Ba' )
% 0.83/1.20 , :=( T, 'c_Message_Omsg_OKey'( 'v_K' ) ), :=( U, 'c_Message_Omsg_ONonce'(
% 0.83/1.20 'v_NB' ) ), :=( W, 'c_Message_Omsg_ONonce'( 'v_NBa' ) ), :=( V0, 'v_X' )] )
% 0.83/1.20 , substitution( 1, [] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 173, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , clause( 172, [ ~( 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), 'c_in'( 'c_Event_Oevent_OGets'(
% 0.83/1.20 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) )
% 0.83/1.20 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.83/1.20 ] )
% 0.83/1.20 , 0, clause( 0, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ] )
% 0.83/1.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 85, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , clause( 173, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer'
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.83/1.20 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.83/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 174, [ ~( 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 Y ), 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) )
% 0.83/1.20 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.83/1.20 ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.83/1.20 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.83/1.20 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 3, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , 0, clause( 10, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_evso' ), :=( Y, X
% 0.83/1.20 ), :=( Z, Y ), :=( T, Z ), :=( U, 'v_NB' ), :=( W, T ), :=( V0, U ),
% 0.83/1.20 :=( V1, W )] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 177, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.83/1.20 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.83/1.20 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 174, [ ~( 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 Y ), 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) )
% 0.83/1.20 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.83/1.20 ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.83/1.20 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.83/1.20 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , 0, clause( 0, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.83/1.20 'tc_Event_Oevent' ) ) ] )
% 0.83/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.83/1.20 :=( U, U ), :=( W, W )] ), substitution( 1, [] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 104, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.83/1.20 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.83/1.20 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 177, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X )
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.83/1.20 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.83/1.20 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.83/1.20 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 179, [ 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.83/1.20 'c_Event_Oevent_OGets'( Z, 'c_Message_Omsg_OMPair'( Y, X ) ),
% 0.83/1.20 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.83/1.20 , clause( 32, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.83/1.20 ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.83/1.20 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , 1, clause( 70, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.83/1.20 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.83/1.20 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', 'v_evso' ) ), :=( Z, Y )] ), substitution( 1, [
% 0.83/1.20 :=( X, Z ), :=( Y, 'c_Message_Omsg_OMPair'( Y, X ) )] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 122, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.83/1.20 'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_List_Oset'( 'v_evso',
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 179, [ 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.83/1.20 'c_Event_Oevent_OGets'( Z, 'c_Message_Omsg_OMPair'( Y, X ) ),
% 0.83/1.20 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.83/1.20 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 180, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 33, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.83/1.20 ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), Y, 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , 1, clause( 47, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', 'v_evso' ), 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.83/1.20 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), :=( Y, 'c_Event_Oknows'(
% 0.83/1.20 'c_Message_Oagent_OSpy', 'v_evso' ) ), :=( Z, 'c_Message_Omsg_OAgent'(
% 0.83/1.20 'v_B' ) )] ), substitution( 1, [] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 129, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 180, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' )
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 181, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' )
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ), 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 122, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.83/1.20 'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_List_Oset'( 'v_evso',
% 0.83/1.20 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 0, clause( 85, [ 'c_in'( 'c_Event_Oevent_OGets'(
% 0.83/1.20 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) )
% 0.83/1.20 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.83/1.20 ] )
% 0.83/1.20 , 0, substitution( 0, [ :=( X, 'c_Message_Oagent_OServer' ), :=( Y,
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Ba' ) ), :=( Z, 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) )
% 0.83/1.20 ) )] ), substitution( 1, [] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 145, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' )
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ), 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , clause( 181, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba'
% 0.83/1.20 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ), 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 182, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 104, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X )
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.83/1.20 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.83/1.20 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.83/1.20 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.83/1.20 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , 1, clause( 145, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.83/1.20 'v_Ba' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ), 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 'v_Ba' )
% 0.83/1.20 , :=( U, 'v_Aa' ), :=( W, 'c_Message_Omsg_ONonce'( 'v_NBa' ) )] ),
% 0.83/1.20 substitution( 1, [] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 146, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , clause( 182, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X )
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.83/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 resolution(
% 0.83/1.20 clause( 183, [] )
% 0.83/1.20 , clause( 146, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X )
% 0.83/1.20 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.83/1.20 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.83/1.20 ), 'tc_Message_Omsg' ) ) ] )
% 0.83/1.20 , 0, clause( 129, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.83/1.20 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.83/1.20 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oparts'(
% 0.83/1.20 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.83/1.20 'tc_Message_Omsg' ) ] )
% 0.83/1.20 , 0, substitution( 0, [ :=( X, 'v_B' ), :=( Y, 'v_A' ), :=( Z,
% 0.83/1.20 'c_Message_Omsg_ONonce'( 'v_NA' ) )] ), substitution( 1, [] )).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 subsumption(
% 0.83/1.20 clause( 148, [] )
% 0.83/1.20 , clause( 183, [] )
% 0.83/1.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 end.
% 0.83/1.20
% 0.83/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.83/1.20
% 0.83/1.20 Memory use:
% 0.83/1.20
% 0.83/1.20 space for terms: 3190
% 0.83/1.20 space for clauses: 9620
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 clauses generated: 3745
% 0.83/1.20 clauses kept: 149
% 0.83/1.20 clauses selected: 141
% 0.83/1.20 clauses deleted: 1
% 0.83/1.20 clauses inuse deleted: 0
% 0.83/1.20
% 0.83/1.20 subsentry: 5700
% 0.83/1.20 literals s-matched: 5655
% 0.83/1.20 literals matched: 5655
% 0.83/1.20 full subsumption: 2
% 0.83/1.20
% 0.83/1.20 checksum: -1585488451
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 Bliksem ended
%------------------------------------------------------------------------------