TSTP Solution File: SWV337-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV337-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:24:13 EDT 2022
% Result : Unsatisfiable 0.41s 1.05s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV337-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 16 05:51:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.05 *** allocated 10000 integers for termspace/termends
% 0.41/1.05 *** allocated 10000 integers for clauses
% 0.41/1.05 *** allocated 10000 integers for justifications
% 0.41/1.05 Bliksem 1.12
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 Automatic Strategy Selection
% 0.41/1.05
% 0.41/1.05 Clauses:
% 0.41/1.05 [
% 0.41/1.05 [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ],
% 0.41/1.05 [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A', 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.41/1.05 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.41/1.05 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ],
% 0.41/1.05 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', X,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( Z ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 X ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ],
% 0.41/1.05 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ],
% 0.41/1.05 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ],
% 0.41/1.05 [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 0.41/1.05 X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 0.41/1.05 [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( 'c_in'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ), 'tc_Message_Omsg' ) ),
% 0.41/1.05 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.41/1.05 , Z ) ), 'tc_Message_Omsg' ) ],
% 0.41/1.05 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.41/1.05 ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ),
% 0.41/1.05 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X,
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.41/1.05 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.41/1.05 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ]
% 0.41/1.05 ] .
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 percentage equality = 0.000000, percentage horn = 0.900000
% 0.41/1.05 This is a near-Horn, non-equality problem
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 Options Used:
% 0.41/1.05
% 0.41/1.05 useres = 1
% 0.41/1.05 useparamod = 0
% 0.41/1.05 useeqrefl = 0
% 0.41/1.05 useeqfact = 0
% 0.41/1.05 usefactor = 1
% 0.41/1.05 usesimpsplitting = 0
% 0.41/1.05 usesimpdemod = 0
% 0.41/1.05 usesimpres = 4
% 0.41/1.05
% 0.41/1.05 resimpinuse = 1000
% 0.41/1.05 resimpclauses = 20000
% 0.41/1.05 substype = standard
% 0.41/1.05 backwardsubs = 1
% 0.41/1.05 selectoldest = 5
% 0.41/1.05
% 0.41/1.05 litorderings [0] = split
% 0.41/1.05 litorderings [1] = liftord
% 0.41/1.05
% 0.41/1.05 termordering = none
% 0.41/1.05
% 0.41/1.05 litapriori = 1
% 0.41/1.05 termapriori = 0
% 0.41/1.05 litaposteriori = 0
% 0.41/1.05 termaposteriori = 0
% 0.41/1.05 demodaposteriori = 0
% 0.41/1.05 ordereqreflfact = 0
% 0.41/1.05
% 0.41/1.05 litselect = negative
% 0.41/1.05
% 0.41/1.05 maxweight = 30000
% 0.41/1.05 maxdepth = 30000
% 0.41/1.05 maxlength = 115
% 0.41/1.05 maxnrvars = 195
% 0.41/1.05 excuselevel = 0
% 0.41/1.05 increasemaxweight = 0
% 0.41/1.05
% 0.41/1.05 maxselected = 10000000
% 0.41/1.05 maxnrclauses = 10000000
% 0.41/1.05
% 0.41/1.05 showgenerated = 0
% 0.41/1.05 showkept = 0
% 0.41/1.05 showselected = 0
% 0.41/1.05 showdeleted = 0
% 0.41/1.05 showresimp = 1
% 0.41/1.05 showstatus = 2000
% 0.41/1.05
% 0.41/1.05 prologoutput = 1
% 0.41/1.05 nrgoals = 5000000
% 0.41/1.05 totalproof = 1
% 0.41/1.05
% 0.41/1.05 Symbols occurring in the translation:
% 0.41/1.05
% 0.41/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.05 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.41/1.05 ! [4, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.41/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.05 'v_evs4' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.41/1.05 'c_Yahalom_Oyahalom' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.41/1.05 'tc_Event_Oevent' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.41/1.05 'tc_List_Olist' [42, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.41/1.05 'c_in' [43, 3] (w:1, o:78, a:1, s:1, b:0),
% 0.41/1.05 'v_A' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.41/1.05 'c_Public_OshrK' [45, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.41/1.05 'v_B' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.41/1.05 'c_Message_Omsg_OAgent' [47, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.41/1.05 'v_K' [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.41/1.05 'c_Message_Omsg_OKey' [49, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.41/1.05 'v_NA' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.41/1.05 'c_Message_Omsg_ONonce' [51, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.41/1.05 'v_NB' [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.41/1.05 'c_Message_Omsg_OMPair' [53, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.41/1.05 'c_Message_Omsg_OCrypt' [54, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.41/1.05 'v_X' [55, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.41/1.05 'c_Event_Oevent_OGets' [56, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.41/1.05 'c_List_Oset' [57, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.41/1.05 'c_Message_Oagent_OSpy' [58, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.41/1.05 'c_Event_Oknows' [59, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.41/1.05 'c_Message_Oanalz' [60, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.41/1.05 'tc_Message_Omsg' [61, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.41/1.05 'c_Message_Oagent_OServer' [62, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.41/1.05 'c_Event_Oevent_OSays' [66, 3] (w:1, o:79, a:1, s:1, b:0),
% 0.41/1.05 'c_Message_Oparts' [71, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.41/1.05 'c_Event_Obad' [73, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.41/1.05 'tc_Message_Oagent' [74, 0] (w:1, o:30, a:1, s:1, b:0).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 Starting Search:
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 Bliksems!, er is een bewijs:
% 0.41/1.05 % SZS status Unsatisfiable
% 0.41/1.05 % SZS output start Refutation
% 0.41/1.05
% 0.41/1.05 clause( 0, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 1, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A', 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.41/1.05 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 3, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.41/1.05 , X, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.41/1.05 X ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( Z ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 X ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 4, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 5, [ 'c_in'( X, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 6, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y )
% 0.41/1.05 , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', Z ) ), 'tc_Message_Omsg' ), ~( 'c_in'( X,
% 0.41/1.05 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ),
% 0.41/1.05 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X,
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( X,
% 0.41/1.05 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 9, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ),
% 0.41/1.05 ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 0.41/1.05 ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 10, [ 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 11, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.41/1.05 ) ), 'v_X' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 13, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 16, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 17, [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', X,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( T, U ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 X ), 'c_Message_Omsg_OKey'( Z ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( Z ), 'c_Message_Omsg_OMPair'( T, U ) ) ) ),
% 0.41/1.05 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 18, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 19, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ), X ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 20, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 21, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 25, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.41/1.05 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 29, [] )
% 0.41/1.05 .
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 % SZS output end Refutation
% 0.41/1.05 found a proof!
% 0.41/1.05
% 0.41/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.05
% 0.41/1.05 initialclauses(
% 0.41/1.05 [ clause( 31, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , clause( 32, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A',
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.41/1.05 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 , clause( 33, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , clause( 34, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.41/1.05 'c_Message_Oagent_OServer', X, 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_ONonce'( Z ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ),
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ),
% 0.41/1.05 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , clause( 35, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.41/1.05 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.41/1.05 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 36, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.41/1.05 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.41/1.05 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 37, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 0.41/1.05 ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 38, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~(
% 0.41/1.05 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', Z ) ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 39, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ),
% 0.41/1.05 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X,
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 , clause( 40, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.41/1.05 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 ] ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 0, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , clause( 31, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 1, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A', 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.41/1.05 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 , clause( 32, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A',
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.41/1.05 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , clause( 33, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 3, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.41/1.05 , X, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.41/1.05 X ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( Z ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 X ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , clause( 34, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.41/1.05 'c_Message_Oagent_OServer', X, 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_ONonce'( Z ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ),
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ),
% 0.41/1.05 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 4, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , clause( 35, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.41/1.05 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.41/1.05 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 5, [ 'c_in'( X, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , clause( 36, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.41/1.05 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.41/1.05 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 6, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , clause( 37, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 0.41/1.05 ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.41/1.05 ), ==>( 1, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y )
% 0.41/1.05 , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', Z ) ), 'tc_Message_Omsg' ), ~( 'c_in'( X,
% 0.41/1.05 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.41/1.05 , clause( 38, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~(
% 0.41/1.05 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', Z ) ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.05 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ),
% 0.41/1.05 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X,
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( X,
% 0.41/1.05 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ) ] )
% 0.41/1.05 , clause( 39, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ),
% 0.41/1.05 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X,
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.41/1.05 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.41/1.05 , 1 ), ==>( 3, 2 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 9, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ),
% 0.41/1.05 ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 0.41/1.05 ) ) ] )
% 0.41/1.05 , clause( 40, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.41/1.05 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.05 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 41, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.41/1.05 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 9, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X
% 0.41/1.05 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.41/1.05 'tc_Message_Omsg' ), ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ) ] )
% 0.41/1.05 , 2, clause( 0, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'v_evs4' ), :=( Y, X ), :=( Z, Y )] ),
% 0.41/1.05 substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 10, [ 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , clause( 41, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.41/1.05 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.41/1.05 ), ==>( 1, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 42, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.41/1.05 ) ), 'v_X' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 10, [ 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , 1, clause( 1, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A',
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.41/1.05 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'v_A' ), :=( Y, 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) )] ), substitution( 1
% 0.41/1.05 , [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 11, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.41/1.05 ) ), 'v_X' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 42, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.41/1.05 ) ), 'v_X' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 43, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 5, [ 'c_in'( X, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , 1, clause( 11, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.41/1.05 ) ), 'v_X' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.41/1.05 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), :=( Y, 'v_X' ), :=( Z,
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) )] ),
% 0.41/1.05 substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 13, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 43, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' )
% 0.41/1.05 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 44, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 6, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , 1, clause( 13, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.41/1.05 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), :=( Y, 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) )] ), substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 16, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 44, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' )
% 0.41/1.05 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 45, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( T, U ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ),
% 0.41/1.05 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', X,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( T, U ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 X ), 'c_Message_Omsg_OKey'( Z ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 , clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ),
% 0.41/1.05 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X,
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( X,
% 0.41/1.05 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ) ] )
% 0.41/1.05 , 3, clause( 0, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.41/1.05 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'v_evs4' ), :=( Y, X ), :=( Z, Y ), :=( T, Z
% 0.41/1.05 ), :=( U, T ), :=( W, U )] ), substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 17, [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', X,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( T, U ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 X ), 'c_Message_Omsg_OKey'( Z ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( Z ), 'c_Message_Omsg_OMPair'( T, U ) ) ) ),
% 0.41/1.05 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , clause( 45, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( T, U ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ),
% 0.41/1.05 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', X,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( T, U ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 X ), 'c_Message_Omsg_OKey'( Z ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.41/1.05 , U )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] )
% 0.41/1.05 ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 46, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_A',
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.41/1.05 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 , clause( 17, [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 0.41/1.05 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', X,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( Z ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( T, U ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 X ), 'c_Message_Omsg_OKey'( Z ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.41/1.05 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( Z ), 'c_Message_Omsg_OMPair'( T, U ) ) ) ),
% 0.41/1.05 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , 2, clause( 16, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oparts'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'v_A' ), :=( Y, 'v_B' ), :=( Z, 'v_K' ),
% 0.41/1.05 :=( T, 'c_Message_Omsg_ONonce'( 'v_NA' ) ), :=( U,
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) )] ), substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 47, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 0.41/1.05 , clause( 3, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.41/1.05 'c_Message_Oagent_OServer', X, 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_ONonce'( Z ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ),
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ),
% 0.41/1.05 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.41/1.05 , 0, clause( 46, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ),
% 0.41/1.05 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_A',
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.41/1.05 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.41/1.05 , 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.41/1.05 , 1, substitution( 0, [ :=( X, 'v_A' ), :=( Y, 'v_B' ), :=( Z, 'v_NA' )] )
% 0.41/1.05 , substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 18, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 0.41/1.05 , clause( 47, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' )
% 0.41/1.05 , X ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ]
% 0.41/1.05 )
% 0.41/1.05 , clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y
% 0.41/1.05 ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) )
% 0.41/1.05 , 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', Z ) ), 'tc_Message_Omsg' ), ~( 'c_in'( X,
% 0.41/1.05 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.41/1.05 , 2, clause( 18, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ]
% 0.41/1.05 )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'v_A' ), :=( Y, X ), :=( Z, Y )] ),
% 0.41/1.05 substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 19, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ), X ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.41/1.05 ), X ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y
% 0.41/1.05 ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ]
% 0.41/1.05 )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.41/1.05 ), ==>( 1, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 49, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 19, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.41/1.05 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ), X ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , 1, clause( 13, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Omsg_OMPair'(
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.41/1.05 ) ), :=( Y, 'v_evs4' )] ), substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 20, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 49, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 50, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 4, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , 1, clause( 20, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.41/1.05 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OAgent'( 'v_B' ) ), :=( Y,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), :=( Z, 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) )] ), substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 21, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K'
% 0.41/1.05 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 50, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'(
% 0.41/1.05 'v_K' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 51, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.41/1.05 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 4, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , 1, clause( 21, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'(
% 0.41/1.05 'v_K' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OKey'( 'v_K' ) ), :=( Y,
% 0.41/1.05 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), :=( Z, 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) )] ), substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 25, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.41/1.05 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 51, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.41/1.05 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 52, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , clause( 4, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.41/1.05 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.41/1.05 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , 1, clause( 25, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.41/1.05 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oanalz'(
% 0.41/1.05 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.41/1.05 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_ONonce'( 'v_NA' ) ), :=( Y,
% 0.41/1.05 'c_Message_Omsg_ONonce'( 'v_NB' ) ), :=( Z, 'c_Event_Oknows'(
% 0.41/1.05 'c_Message_Oagent_OSpy', 'v_evs4' ) )] ), substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 resolution(
% 0.41/1.05 clause( 53, [] )
% 0.41/1.05 , clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ) ] )
% 0.41/1.05 , 0, clause( 52, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.41/1.05 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.41/1.05 ), 'tc_Message_Omsg' ) ] )
% 0.41/1.05 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 29, [] )
% 0.41/1.05 , clause( 53, [] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 end.
% 0.41/1.05
% 0.41/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.05
% 0.41/1.05 Memory use:
% 0.41/1.05
% 0.41/1.05 space for terms: 987
% 0.41/1.05 space for clauses: 3308
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 clauses generated: 30
% 0.41/1.05 clauses kept: 30
% 0.41/1.05 clauses selected: 28
% 0.41/1.05 clauses deleted: 0
% 0.41/1.05 clauses inuse deleted: 0
% 0.41/1.05
% 0.41/1.05 subsentry: 7
% 0.41/1.05 literals s-matched: 3
% 0.41/1.05 literals matched: 3
% 0.41/1.05 full subsumption: 0
% 0.41/1.05
% 0.41/1.05 checksum: -1122076918
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 Bliksem ended
%------------------------------------------------------------------------------