%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV353-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 16:24:27 EDT 2022
% Result : Unsatisfiable 48.12s 48.58s
% Output : Refutation 48.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV353-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 02:29:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 48.12/48.58 *** allocated 10000 integers for termspace/termends
% 48.12/48.58 *** allocated 10000 integers for clauses
% 48.12/48.58 *** allocated 10000 integers for justifications
% 48.12/48.58 Bliksem 1.12
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 Automatic Strategy Selection
% 48.12/48.58
% 48.12/48.58 Clauses:
% 48.12/48.58 [
% 48.12/48.58 [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ],
% 48.12/48.58 [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_Aa',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 48.12/48.58 'v_Aa' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 48.12/48.58 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 48.12/48.58 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 48.12/48.58 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'(
% 48.12/48.58 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 48.12/48.58 'tc_Message_Omsg' ) ) ],
% 48.12/48.58 [ ~( =( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), ~( =( 'v_NA', 'v_NAa' ) )
% 48.12/48.58 ],
% 48.12/48.58 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 48.12/48.58 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 48.12/48.58 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 48.12/48.58 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 48.12/48.58 , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 48.12/48.58 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 48.12/48.58 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, 'c_Message_Omsg_OMPair'( Z
% 48.12/48.58 , 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 48.12/48.58 'tc_Message_Omsg' ), =( W, V6 ) ]
% 48.12/48.58 ] .
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 percentage equality = 0.214286, percentage horn = 0.857143
% 48.12/48.58 This is a problem with some equality
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 Options Used:
% 48.12/48.58
% 48.12/48.58 useres = 1
% 48.12/48.58 useparamod = 1
% 48.12/48.58 useeqrefl = 1
% 48.12/48.58 useeqfact = 1
% 48.12/48.58 usefactor = 1
% 48.12/48.58 usesimpsplitting = 0
% 48.12/48.58 usesimpdemod = 5
% 48.12/48.58 usesimpres = 3
% 48.12/48.58
% 48.12/48.58 resimpinuse = 1000
% 48.12/48.58 resimpclauses = 20000
% 48.12/48.58 substype = eqrewr
% 48.12/48.58 backwardsubs = 1
% 48.12/48.58 selectoldest = 5
% 48.12/48.58
% 48.12/48.58 litorderings [0] = split
% 48.12/48.58 litorderings [1] = extend the termordering, first sorting on arguments
% 48.12/48.58
% 48.12/48.58 termordering = kbo
% 48.12/48.58
% 48.12/48.58 litapriori = 0
% 48.12/48.58 termapriori = 1
% 48.12/48.58 litaposteriori = 0
% 48.12/48.58 termaposteriori = 0
% 48.12/48.58 demodaposteriori = 0
% 48.12/48.58 ordereqreflfact = 0
% 48.12/48.58
% 48.12/48.58 litselect = negord
% 48.12/48.58
% 48.12/48.58 maxweight = 15
% 48.12/48.58 maxdepth = 30000
% 48.12/48.58 maxlength = 115
% 48.12/48.58 maxnrvars = 195
% 48.12/48.58 excuselevel = 1
% 48.12/48.58 increasemaxweight = 1
% 48.12/48.58
% 48.12/48.58 maxselected = 10000000
% 48.12/48.58 maxnrclauses = 10000000
% 48.12/48.58
% 48.12/48.58 showgenerated = 0
% 48.12/48.58 showkept = 0
% 48.12/48.58 showselected = 0
% 48.12/48.58 showdeleted = 0
% 48.12/48.58 showresimp = 1
% 48.12/48.58 showstatus = 2000
% 48.12/48.58
% 48.12/48.58 prologoutput = 1
% 48.12/48.58 nrgoals = 5000000
% 48.12/48.58 totalproof = 1
% 48.12/48.58
% 48.12/48.58 Symbols occurring in the translation:
% 48.12/48.58
% 48.12/48.58 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 48.12/48.58 . [1, 2] (w:1, o:51, a:1, s:1, b:0),
% 48.12/48.58 ! [4, 1] (w:0, o:40, a:1, s:1, b:0),
% 48.12/48.58 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 48.12/48.58 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 48.12/48.58 'v_evso' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 48.12/48.58 'c_Yahalom_Oyahalom' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 48.12/48.58 'tc_Event_Oevent' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 48.12/48.58 'tc_List_Olist' [42, 1] (w:1, o:45, a:1, s:1, b:0),
% 48.12/48.58 'c_in' [43, 3] (w:1, o:81, a:1, s:1, b:0),
% 48.12/48.58 'c_Message_Oagent_OServer' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 48.12/48.58 'v_Aa' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 48.12/48.58 'c_Public_OshrK' [46, 1] (w:1, o:46, a:1, s:1, b:0),
% 48.12/48.58 'v_Ba' [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 48.12/48.58 'c_Message_Omsg_OAgent' [48, 1] (w:1, o:47, a:1, s:1, b:0),
% 48.12/48.58 'v_K' [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 48.12/48.58 'c_Message_Omsg_OKey' [50, 1] (w:1, o:48, a:1, s:1, b:0),
% 48.12/48.58 'v_NAa' [51, 0] (w:1, o:17, a:1, s:1, b:0),
% 48.12/48.58 'c_Message_Omsg_ONonce' [52, 1] (w:1, o:49, a:1, s:1, b:0),
% 48.12/48.58 'v_NB' [53, 0] (w:1, o:19, a:1, s:1, b:0),
% 48.12/48.58 'c_Message_Omsg_OMPair' [54, 2] (w:1, o:77, a:1, s:1, b:0),
% 48.12/48.58 'c_Message_Omsg_OCrypt' [55, 2] (w:1, o:78, a:1, s:1, b:0),
% 48.12/48.58 'v_X' [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 48.12/48.58 'c_Event_Oevent_OSays' [57, 3] (w:1, o:82, a:1, s:1, b:0),
% 48.12/48.58 'c_List_Oset' [58, 2] (w:1, o:76, a:1, s:1, b:0),
% 48.12/48.58 'v_B' [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 48.12/48.58 'v_A' [60, 0] (w:1, o:14, a:1, s:1, b:0),
% 48.12/48.58 'v_NA' [61, 0] (w:1, o:18, a:1, s:1, b:0),
% 48.12/48.58 'c_Message_Oagent_OSpy' [62, 0] (w:1, o:22, a:1, s:1, b:0),
% 48.12/48.58 'c_Event_Oknows' [63, 2] (w:1, o:79, a:1, s:1, b:0),
% 48.12/48.58 'c_Message_Oanalz' [64, 1] (w:1, o:50, a:1, s:1, b:0),
% 48.12/48.58 'tc_Message_Omsg' [65, 0] (w:1, o:23, a:1, s:1, b:0),
% 48.12/48.58 'c_Event_Oevent_OGets' [74, 2] (w:1, o:80, a:1, s:1, b:0).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 Starting Search:
% 48.12/48.58
% 48.12/48.58 Resimplifying inuse:
% 48.12/48.58 Done
% 48.12/48.58
% 48.12/48.58 Failed to find proof!
% 48.12/48.58 maxweight = 15
% 48.12/48.58 maxnrclauses = 10000000
% 48.12/48.58 Generated: 1060458
% 48.12/48.58 Kept: 200
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 The strategy used was not complete!
% 48.12/48.58
% 48.12/48.58 Increased maxweight to 16
% 48.12/48.58
% 48.12/48.58 Starting Search:
% 48.12/48.58
% 48.12/48.58 Resimplifying inuse:
% 48.12/48.58 Done
% 48.12/48.58
% 48.12/48.58 Failed to find proof!
% 48.12/48.58 maxweight = 16
% 48.12/48.58 maxnrclauses = 10000000
% 48.12/48.58 Generated: 1060458
% 48.12/48.58 Kept: 200
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 The strategy used was not complete!
% 48.12/48.58
% 48.12/48.58 Increased maxweight to 17
% 48.12/48.58
% 48.12/48.58 Starting Search:
% 48.12/48.58
% 48.12/48.58 Resimplifying inuse:
% 48.12/48.58 Done
% 48.12/48.58
% 48.12/48.58 Failed to find proof!
% 48.12/48.58 maxweight = 17
% 48.12/48.58 maxnrclauses = 10000000
% 48.12/48.58 Generated: 1060458
% 48.12/48.58 Kept: 200
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 The strategy used was not complete!
% 48.12/48.58
% 48.12/48.58 Increased maxweight to 18
% 48.12/48.58
% 48.12/48.58 Starting Search:
% 48.12/48.58
% 48.12/48.58 Resimplifying inuse:
% 48.12/48.58 Done
% 48.12/48.58
% 48.12/48.58 Failed to find proof!
% 48.12/48.58 maxweight = 18
% 48.12/48.58 maxnrclauses = 10000000
% 48.12/48.58 Generated: 1060458
% 48.12/48.58 Kept: 200
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 The strategy used was not complete!
% 48.12/48.58
% 48.12/48.58 Increased maxweight to 19
% 48.12/48.58
% 48.12/48.58 Starting Search:
% 48.12/48.58
% 48.12/48.58 Resimplifying inuse:
% 48.12/48.58 Done
% 48.12/48.58
% 48.12/48.58 Failed to find proof!
% 48.12/48.58 maxweight = 19
% 48.12/48.58 maxnrclauses = 10000000
% 48.12/48.58 Generated: 1060458
% 48.12/48.58 Kept: 200
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 The strategy used was not complete!
% 48.12/48.58
% 48.12/48.58 Increased maxweight to 20
% 48.12/48.58
% 48.12/48.58 Starting Search:
% 48.12/48.58
% 48.12/48.58 Resimplifying inuse:
% 48.12/48.58 Done
% 48.12/48.58
% 48.12/48.58 Failed to find proof!
% 48.12/48.58 maxweight = 20
% 48.12/48.58 maxnrclauses = 10000000
% 48.12/48.58 Generated: 1060458
% 48.12/48.58 Kept: 200
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 The strategy used was not complete!
% 48.12/48.58
% 48.12/48.58 Increased maxweight to 21
% 48.12/48.58
% 48.12/48.58 Starting Search:
% 48.12/48.58
% 48.12/48.58 Resimplifying inuse:
% 48.12/48.58 Done
% 48.12/48.58
% 48.12/48.58 Failed to find proof!
% 48.12/48.58 maxweight = 21
% 48.12/48.58 maxnrclauses = 10000000
% 48.12/48.58 Generated: 1060458
% 48.12/48.58 Kept: 200
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 The strategy used was not complete!
% 48.12/48.58
% 48.12/48.58 Increased maxweight to 22
% 48.12/48.58
% 48.12/48.58 Starting Search:
% 48.12/48.58
% 48.12/48.58 Resimplifying inuse:
% 48.12/48.58 Done
% 48.12/48.58
% 48.12/48.58 Failed to find proof!
% 48.12/48.58 maxweight = 22
% 48.12/48.58 maxnrclauses = 10000000
% 48.12/48.58 Generated: 1060458
% 48.12/48.58 Kept: 200
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 The strategy used was not complete!
% 48.12/48.58
% 48.12/48.58 Increased maxweight to 23
% 48.12/48.58
% 48.12/48.58 Starting Search:
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 Bliksems!, er is een bewijs:
% 48.12/48.58 % SZS status Unsatisfiable
% 48.12/48.58 % SZS output start Refutation
% 48.12/48.58
% 48.12/48.58 clause( 0, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'v_Aa', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ), 'v_X' ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ),
% 48.12/48.58 'tc_Event_Oevent' ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 2, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 48.12/48.58 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 48.12/48.58 ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 3, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 48.12/48.58 ), 'tc_Message_Omsg' ) ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 4, [ ~( =( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), ~( =( 'v_NA',
% 48.12/48.58 'v_NAa' ) ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 5, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 48.12/48.58 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 48.12/48.58 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 6, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 48.12/48.58 'tc_Message_Omsg' ), =( W, V6 ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 7, [ ~( =( 'v_NA', 'v_NAa' ) ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 8, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 11, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, 'c_Message_Omsg_OMPair'(
% 48.12/48.58 Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 48.12/48.58 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ), =( U, 'v_NA'
% 48.12/48.58 ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 200, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( U, 'v_NA' ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 201, [ =( 'v_NA', 'v_NAa' ) ] )
% 48.12/48.58 .
% 48.12/48.58 clause( 204, [] )
% 48.12/48.58 .
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 % SZS output end Refutation
% 48.12/48.58 found a proof!
% 48.12/48.58
% 48.12/48.58 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 48.12/48.58
% 48.12/48.58 initialclauses(
% 48.12/48.58 [ clause( 206, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ] )
% 48.12/48.58 , clause( 207, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 48.12/48.58 , 'v_Aa', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ), 'v_X' ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ),
% 48.12/48.58 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , clause( 208, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 48.12/48.58 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 48.12/48.58 ] )
% 48.12/48.58 , clause( 209, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 48.12/48.58 ), 'tc_Message_Omsg' ) ) ] )
% 48.12/48.58 , clause( 210, [ ~( =( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), ~( =( 'v_NA'
% 48.12/48.58 , 'v_NAa' ) ) ] )
% 48.12/48.58 , clause( 211, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 48.12/48.58 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 48.12/48.58 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , clause( 212, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 48.12/48.58 'tc_Message_Omsg' ), =( W, V6 ) ] )
% 48.12/48.58 ] ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 0, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ] )
% 48.12/48.58 , clause( 206, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ] )
% 48.12/48.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'v_Aa', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ), 'v_X' ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ),
% 48.12/48.58 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , clause( 207, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 48.12/48.58 , 'v_Aa', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ), 'v_X' ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ),
% 48.12/48.58 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 2, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 48.12/48.58 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 48.12/48.58 ] )
% 48.12/48.58 , clause( 208, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 48.12/48.58 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 48.12/48.58 ] )
% 48.12/48.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 3, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 48.12/48.58 ), 'tc_Message_Omsg' ) ) ] )
% 48.12/48.58 , clause( 209, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 48.12/48.58 ), 'tc_Message_Omsg' ) ) ] )
% 48.12/48.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 4, [ ~( =( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), ~( =( 'v_NA',
% 48.12/48.58 'v_NAa' ) ) ] )
% 48.12/48.58 , clause( 210, [ ~( =( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), ~( =( 'v_NA'
% 48.12/48.58 , 'v_NAa' ) ) ] )
% 48.12/48.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 48.12/48.58 1 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 5, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 48.12/48.58 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 48.12/48.58 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , clause( 211, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 48.12/48.58 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 48.12/48.58 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 48.12/48.58 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 48.12/48.58 , 1 ), ==>( 2, 2 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 6, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 48.12/48.58 'tc_Message_Omsg' ), =( W, V6 ) ] )
% 48.12/48.58 , clause( 212, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 48.12/48.58 'tc_Message_Omsg' ), =( W, V6 ) ] )
% 48.12/48.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 48.12/48.58 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 ), :=( V2, V2 ), :=( V3, V3 )
% 48.12/48.58 , :=( V4, V4 ), :=( V5, V5 ), :=( V6, V6 )] ), permutation( 0, [ ==>( 0,
% 48.12/48.58 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 eqswap(
% 48.12/48.58 clause( 223, [ ~( =( 'c_Message_Omsg_OKey'( 'v_K' ), X ) ), ~( =( 'v_NA',
% 48.12/48.58 'v_NAa' ) ) ] )
% 48.12/48.58 , clause( 4, [ ~( =( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), ~( =( 'v_NA',
% 48.12/48.58 'v_NAa' ) ) ] )
% 48.12/48.58 , 0, substitution( 0, [ :=( X, X )] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 eqrefl(
% 48.12/48.58 clause( 226, [ ~( =( 'v_NA', 'v_NAa' ) ) ] )
% 48.12/48.58 , clause( 223, [ ~( =( 'c_Message_Omsg_OKey'( 'v_K' ), X ) ), ~( =( 'v_NA'
% 48.12/48.58 , 'v_NAa' ) ) ] )
% 48.12/48.58 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OKey'( 'v_K' ) )] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 7, [ ~( =( 'v_NA', 'v_NAa' ) ) ] )
% 48.12/48.58 , clause( 226, [ ~( =( 'v_NA', 'v_NAa' ) ) ] )
% 48.12/48.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 resolution(
% 48.12/48.58 clause( 228, [ ~( 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), 'c_in'( 'c_Event_Oevent_OGets'(
% 48.12/48.58 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 48.12/48.58 ] )
% 48.12/48.58 , clause( 5, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 48.12/48.58 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 48.12/48.58 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , 1, clause( 1, [ 'c_in'( 'c_Event_Oevent_OSays'(
% 48.12/48.58 'c_Message_Oagent_OServer', 'v_Aa', 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 48.12/48.58 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , 0, substitution( 0, [ :=( X, 'v_evso' ), :=( Y, 'v_Aa' ), :=( Z, 'v_Ba' )
% 48.12/48.58 , :=( T, 'c_Message_Omsg_OKey'( 'v_K' ) ), :=( U, 'c_Message_Omsg_ONonce'(
% 48.12/48.58 'v_NAa' ) ), :=( W, 'c_Message_Omsg_ONonce'( 'v_NB' ) ), :=( V0, 'v_X' )] )
% 48.12/48.58 , substitution( 1, [] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 resolution(
% 48.12/48.58 clause( 229, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , clause( 228, [ ~( 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), 'c_in'( 'c_Event_Oevent_OGets'(
% 48.12/48.58 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 48.12/48.58 ] )
% 48.12/48.58 , 0, clause( 0, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ] )
% 48.12/48.58 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 8, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , clause( 229, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer'
% 48.12/48.58 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 48.12/48.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 eqswap(
% 48.12/48.58 clause( 230, [ =( Y, X ), ~( 'c_in'( Z, 'c_Yahalom_Oyahalom',
% 48.12/48.58 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OGets'( T, 'c_Message_Omsg_OMPair'( U,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( V0 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( X ), V1 ) ) ) ) ), 'c_List_Oset'( Z,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OSays'( V2, V3, 'c_Message_Omsg_OMPair'( V4,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V5 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( V6 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( Y ), V1 ) ) ) ) ), 'c_List_Oset'( Z,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V1,
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ),
% 48.12/48.58 'tc_Message_Omsg' ) ] )
% 48.12/48.58 , clause( 6, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ),
% 48.12/48.58 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 48.12/48.58 'tc_Message_Omsg' ), =( W, V6 ) ] )
% 48.12/48.58 , 4, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 48.12/48.58 :=( U, V0 ), :=( W, X ), :=( V0, V1 ), :=( V1, V2 ), :=( V2, V3 ), :=( V3
% 48.12/48.58 , V4 ), :=( V4, V5 ), :=( V5, V6 ), :=( V6, Y )] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 resolution(
% 48.12/48.58 clause( 231, [ =( 'v_NA', X ), ~( 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom',
% 48.12/48.58 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OGets'( Y, 'c_Message_Omsg_OMPair'( Z,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( X ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) )
% 48.12/48.58 , 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ),
% 48.12/48.58 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'(
% 48.12/48.58 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 48.12/48.58 'tc_Message_Omsg' ) ] )
% 48.12/48.58 , clause( 230, [ =( Y, X ), ~( 'c_in'( Z, 'c_Yahalom_Oyahalom',
% 48.12/48.58 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OGets'( T, 'c_Message_Omsg_OMPair'( U,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( V0 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( X ), V1 ) ) ) ) ), 'c_List_Oset'( Z,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OSays'( V2, V3, 'c_Message_Omsg_OMPair'( V4,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V5 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( V6 ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( Y ), V1 ) ) ) ) ), 'c_List_Oset'( Z,
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V1,
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ),
% 48.12/48.58 'tc_Message_Omsg' ) ] )
% 48.12/48.58 , 3, clause( 2, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 48.12/48.58 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 48.12/48.58 ] )
% 48.12/48.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_NA' ), :=( Z, 'v_evso' ),
% 48.12/48.58 :=( T, Y ), :=( U, Z ), :=( W, T ), :=( V0, U ), :=( V1,
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ), :=( V2, 'v_B' ), :=( V3,
% 48.12/48.58 'c_Message_Oagent_OServer' ), :=( V4, 'c_Message_Omsg_OAgent'( 'v_B' ) )
% 48.12/48.58 , :=( V5, 'v_B' ), :=( V6, 'v_A' )] ), substitution( 1, [] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 resolution(
% 48.12/48.58 clause( 232, [ =( 'v_NA', X ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( X ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 48.12/48.58 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ] )
% 48.12/48.58 , clause( 231, [ =( 'v_NA', X ), ~( 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom'
% 48.12/48.58 , 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), ~( 'c_in'(
% 48.12/48.58 'c_Event_Oevent_OGets'( Y, 'c_Message_Omsg_OMPair'( Z,
% 48.12/48.58 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( X ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) )
% 48.12/48.58 , 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ),
% 48.12/48.58 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'(
% 48.12/48.58 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 48.12/48.58 'tc_Message_Omsg' ) ] )
% 48.12/48.58 , 1, clause( 0, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 48.12/48.58 'tc_Event_Oevent' ) ) ] )
% 48.12/48.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 48.12/48.58 :=( U, U )] ), substitution( 1, [] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 eqswap(
% 48.12/48.58 clause( 233, [ =( X, 'v_NA' ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( X ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 48.12/48.58 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ] )
% 48.12/48.58 , clause( 232, [ =( 'v_NA', X ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( X ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 48.12/48.58 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ] )
% 48.12/48.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 48.12/48.58 :=( U, U )] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 11, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, 'c_Message_Omsg_OMPair'(
% 48.12/48.58 Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 48.12/48.58 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ), =( U, 'v_NA'
% 48.12/48.58 ) ] )
% 48.12/48.58 , clause( 233, [ =( X, 'v_NA' ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( X ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 48.12/48.58 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ] )
% 48.12/48.58 , substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U
% 48.12/48.58 , T )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] )
% 48.12/48.58 ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 resolution(
% 48.12/48.58 clause( 235, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( U, 'v_NA' ) ] )
% 48.12/48.58 , clause( 3, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 48.12/48.58 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 48.12/48.58 ), 'tc_Message_Omsg' ) ) ] )
% 48.12/48.58 , 0, clause( 11, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 48.12/48.58 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ), =( U, 'v_NA'
% 48.12/48.58 ) ] )
% 48.12/48.58 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 48.12/48.58 Z, Z ), :=( T, T ), :=( U, U )] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 200, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( U, 'v_NA' ) ] )
% 48.12/48.58 , clause( 235, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( U, 'v_NA' ) ] )
% 48.12/48.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 48.12/48.58 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 eqswap(
% 48.12/48.58 clause( 237, [ =( 'v_NA', X ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( X ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 48.12/48.58 , clause( 200, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( U, 'v_NA' ) ] )
% 48.12/48.58 , 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, U ),
% 48.12/48.58 :=( U, X )] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 resolution(
% 48.12/48.58 clause( 238, [ =( 'v_NA', 'v_NAa' ) ] )
% 48.12/48.58 , clause( 237, [ =( 'v_NA', X ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 48.12/48.58 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 48.12/48.58 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 48.12/48.58 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( X ),
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 48.12/48.58 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 48.12/48.58 , 1, clause( 8, [ 'c_in'( 'c_Event_Oevent_OGets'(
% 48.12/48.58 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OCrypt'(
% 48.12/48.58 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 48.12/48.58 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 48.12/48.58 ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 48.12/48.58 ] )
% 48.12/48.58 , 0, substitution( 0, [ :=( X, 'v_NAa' ), :=( Y, 'c_Message_Oagent_OServer'
% 48.12/48.58 ), :=( Z, 'c_Message_Omsg_OAgent'( 'v_Ba' ) ), :=( T, 'v_Ba' ), :=( U,
% 48.12/48.58 'v_Aa' )] ), substitution( 1, [] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 201, [ =( 'v_NA', 'v_NAa' ) ] )
% 48.12/48.58 , clause( 238, [ =( 'v_NA', 'v_NAa' ) ] )
% 48.12/48.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 resolution(
% 48.12/48.58 clause( 242, [] )
% 48.12/48.58 , clause( 7, [ ~( =( 'v_NA', 'v_NAa' ) ) ] )
% 48.12/48.58 , 0, clause( 201, [ =( 'v_NA', 'v_NAa' ) ] )
% 48.12/48.58 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 subsumption(
% 48.12/48.58 clause( 204, [] )
% 48.12/48.58 , clause( 242, [] )
% 48.12/48.58 , substitution( 0, [] ), permutation( 0, [] ) ).
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 end.
% 48.12/48.58
% 48.12/48.58 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 48.12/48.58
% 48.12/48.58 Memory use:
% 48.12/48.58
% 48.12/48.58 space for terms: 17414
% 48.12/48.58 space for clauses: 14399
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 clauses generated: 1448
% 48.12/48.58 clauses kept: 205
% 48.12/48.58 clauses selected: 11
% 48.12/48.58 clauses deleted: 3
% 48.12/48.58 clauses inuse deleted: 0
% 48.12/48.58
% 48.12/48.58 subsentry: 722
% 48.12/48.58 literals s-matched: 337
% 48.12/48.58 literals matched: 337
% 48.12/48.58 full subsumption: 251
% 48.12/48.58
% 48.12/48.58 checksum: -219247625
% 48.12/48.58
% 48.12/48.58
% 48.12/48.58 Bliksem ended
%------------------------------------------------------------------------------