TSTP Solution File: SWV290-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV290-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:23:41 EDT 2022
% Result : Unsatisfiable 0.50s 1.16s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV290-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15 % Command : bliksem %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Wed Jun 15 19:03:34 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.50/1.16 *** allocated 10000 integers for termspace/termends
% 0.50/1.16 *** allocated 10000 integers for clauses
% 0.50/1.16 *** allocated 10000 integers for justifications
% 0.50/1.16 Bliksem 1.12
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Automatic Strategy Selection
% 0.50/1.16
% 0.50/1.16 Clauses:
% 0.50/1.16 [
% 0.50/1.16 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_X_H',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.50/1.16 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.50/1.16 [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA'
% 0.50/1.16 , 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.50/1.16 [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ],
% 0.50/1.16 [ 'c_in'( 'v_evs', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ],
% 0.50/1.16 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 0.50/1.16 ,
% 0.50/1.16 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 0.50/1.16 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 0.50/1.16 ,
% 0.50/1.16 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.50/1.16 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 0.50/1.16 'tc_Message_Omsg' ) ],
% 0.50/1.16 [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 0.50/1.16 X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 0.50/1.16 [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.50/1.16 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.50/1.16 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.50/1.16 [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.50/1.16 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( Y, 'c_Message_Oagent_OServer'
% 0.50/1.16 , 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( T ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U,
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 Z, 'c_Message_Omsg_OMPair'( W, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( T ), 'c_Message_Omsg_OAgent'( Y ) ) ) ) ) ) ) )
% 0.50/1.16 ) ), 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~(
% 0.50/1.16 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( W, 'c_Message_Omsg_OKey'( V0 ) ) ),
% 0.50/1.16 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.50/1.16 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ),
% 0.50/1.16 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 Z, 'c_Message_Omsg_OKey'( V0 ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( W, 'c_Message_Omsg_OKey'(
% 0.50/1.16 V0 ) ) ) ) ) ), 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent'
% 0.50/1.16 ) ]
% 0.50/1.16 ] .
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 percentage equality = 0.000000, percentage horn = 0.900000
% 0.50/1.16 This is a near-Horn, non-equality problem
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Options Used:
% 0.50/1.16
% 0.50/1.16 useres = 1
% 0.50/1.16 useparamod = 0
% 0.50/1.16 useeqrefl = 0
% 0.50/1.16 useeqfact = 0
% 0.50/1.16 usefactor = 1
% 0.50/1.16 usesimpsplitting = 0
% 0.50/1.16 usesimpdemod = 0
% 0.50/1.16 usesimpres = 4
% 0.50/1.16
% 0.50/1.16 resimpinuse = 1000
% 0.50/1.16 resimpclauses = 20000
% 0.50/1.16 substype = standard
% 0.50/1.16 backwardsubs = 1
% 0.50/1.16 selectoldest = 5
% 0.50/1.16
% 0.50/1.16 litorderings [0] = split
% 0.50/1.16 litorderings [1] = liftord
% 0.50/1.16
% 0.50/1.16 termordering = none
% 0.50/1.16
% 0.50/1.16 litapriori = 1
% 0.50/1.16 termapriori = 0
% 0.50/1.16 litaposteriori = 0
% 0.50/1.16 termaposteriori = 0
% 0.50/1.16 demodaposteriori = 0
% 0.50/1.16 ordereqreflfact = 0
% 0.50/1.16
% 0.50/1.16 litselect = negative
% 0.50/1.16
% 0.50/1.16 maxweight = 30000
% 0.50/1.16 maxdepth = 30000
% 0.50/1.16 maxlength = 115
% 0.50/1.16 maxnrvars = 195
% 0.50/1.16 excuselevel = 0
% 0.50/1.16 increasemaxweight = 0
% 0.50/1.16
% 0.50/1.16 maxselected = 10000000
% 0.50/1.16 maxnrclauses = 10000000
% 0.50/1.16
% 0.50/1.16 showgenerated = 0
% 0.50/1.16 showkept = 0
% 0.50/1.16 showselected = 0
% 0.50/1.16 showdeleted = 0
% 0.50/1.16 showresimp = 1
% 0.50/1.16 showstatus = 2000
% 0.50/1.16
% 0.50/1.16 prologoutput = 1
% 0.50/1.16 nrgoals = 5000000
% 0.50/1.16 totalproof = 1
% 0.50/1.16
% 0.50/1.16 Symbols occurring in the translation:
% 0.50/1.16
% 0.50/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.50/1.16 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.50/1.16 ! [4, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.50/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/1.16 'v_B' [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.50/1.16 'c_Message_Oagent_OServer' [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.50/1.16 'v_NA' [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.50/1.16 'v_A' [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.50/1.16 'c_Message_Omsg_OAgent' [43, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.50/1.16 'v_X_H' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.50/1.16 'c_Public_OshrK' [45, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.50/1.16 'v_NB' [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.50/1.16 'c_Message_Omsg_OMPair' [47, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.50/1.16 'c_Message_Omsg_OCrypt' [48, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.50/1.16 'c_Event_Oevent_OSays' [49, 3] (w:1, o:76, a:1, s:1, b:0),
% 0.50/1.16 'v_evs' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.50/1.16 'tc_Event_Oevent' [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.50/1.16 'c_List_Oset' [52, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.50/1.16 'c_in' [53, 3] (w:1, o:77, a:1, s:1, b:0),
% 0.50/1.16 'v_X' [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.50/1.16 'v_K' [55, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.50/1.16 'c_Message_Omsg_OKey' [56, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.50/1.16 'c_Event_Oevent_OGets' [57, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.50/1.16 'c_Event_Obad' [58, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.50/1.16 'tc_Message_Oagent' [59, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.50/1.16 'c_OtwayRees_Ootway' [60, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.50/1.16 'tc_List_Olist' [61, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.50/1.16 'c_Message_Oagent_OSpy' [66, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.50/1.16 'c_Event_Oknows' [67, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.50/1.16 'c_Message_Oanalz' [68, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.50/1.16 'tc_Message_Omsg' [69, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.50/1.16 'c_Message_Oparts' [73, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.50/1.16 'v_sko__usf' [74, 3] (w:1, o:78, a:1, s:1, b:0).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Starting Search:
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Bliksems!, er is een bewijs:
% 0.50/1.16 % SZS status Unsatisfiable
% 0.50/1.16 % SZS output start Refutation
% 0.50/1.16
% 0.50/1.16 clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X_H', 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.16 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 1, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 2, [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 3, [ 'c_in'( 'v_evs', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.50/1.16 , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 5, [ 'c_in'( Z, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T, 'tc_Event_Oevent' )
% 0.50/1.16 , 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 6, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.50/1.16 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.50/1.16 'tc_Message_Omsg' ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 7, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.50/1.16 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 8, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.50/1.16 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( X,
% 0.50/1.16 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 9, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( Y,
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( W,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( Y ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 W, 'c_Message_Omsg_OKey'( V0 ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.50/1.16 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OKey'( V0 ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 W, 'c_Message_Omsg_OKey'( V0 ) ) ) ) ) ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( X,
% 0.50/1.16 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 11, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_sko__usf'( X, Y, 'v_evs' )
% 0.50/1.16 , X, Y ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent'
% 0.50/1.16 ), ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 12, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_sko__usf'( 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ),
% 0.50/1.16 'v_evs' ), 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ) ) ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 13, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X,
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( U,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( X ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( X, 'c_Event_Obad',
% 0.50/1.16 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', X, 'c_Message_Omsg_OMPair'( Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( W ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 U, 'c_Message_Omsg_OKey'( W ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 U, 'c_Message_Omsg_OKey'( W ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', 'v_evs' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 22, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.50/1.16 'v_evs' ) ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 23, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ),
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 25, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 27, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 28, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.50/1.16 'v_B', 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.50/1.16 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.50/1.16 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 30, [] )
% 0.50/1.16 .
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 % SZS output end Refutation
% 0.50/1.16 found a proof!
% 0.50/1.16
% 0.50/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/1.16
% 0.50/1.16 initialclauses(
% 0.50/1.16 [ clause( 32, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X_H', 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.16 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 33, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 34, [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , clause( 35, [ 'c_in'( 'v_evs', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , clause( 36, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , clause( 37, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'(
% 0.50/1.16 T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.50/1.16 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 38, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.50/1.16 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.50/1.16 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 39, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 0.50/1.16 ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 40, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.50/1.16 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.50/1.16 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 41, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( Y,
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( W,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( Y ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 W, 'c_Message_Omsg_OKey'( V0 ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.50/1.16 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OKey'( V0 ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 W, 'c_Message_Omsg_OKey'( V0 ) ) ) ) ) ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 ] ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X_H', 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.16 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 32, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X_H', 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.16 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 1, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 33, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 2, [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.50/1.16 , clause( 34, [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 3, [ 'c_in'( 'v_evs', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , clause( 35, [ 'c_in'( 'v_evs', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.50/1.16 , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , clause( 36, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 5, [ 'c_in'( Z, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T, 'tc_Event_Oevent' )
% 0.50/1.16 , 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , clause( 37, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'(
% 0.50/1.16 T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.50/1.16 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 6, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.50/1.16 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.50/1.16 'tc_Message_Omsg' ) ) ] )
% 0.50/1.16 , clause( 38, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.50/1.16 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.50/1.16 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 7, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.50/1.16 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.16 , clause( 39, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 0.50/1.16 ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.50/1.16 ), ==>( 1, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 8, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.50/1.16 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( X,
% 0.50/1.16 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ) ] )
% 0.50/1.16 , clause( 40, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.50/1.16 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.50/1.16 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 9, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( Y,
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( W,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( Y ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 W, 'c_Message_Omsg_OKey'( V0 ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.50/1.16 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OKey'( V0 ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 W, 'c_Message_Omsg_OKey'( V0 ) ) ) ) ) ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( X,
% 0.50/1.16 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ) ] )
% 0.50/1.16 , clause( 41, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( Y,
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( W,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( Y ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 W, 'c_Message_Omsg_OKey'( V0 ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.50/1.16 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OKey'( V0 ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 W, 'c_Message_Omsg_OKey'( V0 ) ) ) ) ) ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.50/1.16 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1
% 0.50/1.16 , 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 42, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.50/1.16 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_sko__usf'( X, Y, 'v_evs' ), X, Y ),
% 0.50/1.16 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 8, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X
% 0.50/1.16 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.50/1.16 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( X,
% 0.50/1.16 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ) ] )
% 0.50/1.16 , 2, clause( 3, [ 'c_in'( 'v_evs', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, 'v_evs' ), :=( Y, X ), :=( Z, Y )] ),
% 0.50/1.16 substitution( 1, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 11, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_sko__usf'( X, Y, 'v_evs' )
% 0.50/1.16 , X, Y ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent'
% 0.50/1.16 ), ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , clause( 42, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.50/1.16 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_sko__usf'( X, Y, 'v_evs' ), X, Y ),
% 0.50/1.16 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.50/1.16 ), ==>( 1, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 43, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_sko__usf'( 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ),
% 0.50/1.16 'v_evs' ), 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ) ) ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 11, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_sko__usf'( X, Y, 'v_evs'
% 0.50/1.16 ), X, Y ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ), ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ),
% 0.50/1.16 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , 1, clause( 1, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, 'v_B' ), :=( Y, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )] ), substitution( 1, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 12, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_sko__usf'( 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ),
% 0.50/1.16 'v_evs' ), 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ) ) ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 43, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_sko__usf'( 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ),
% 0.50/1.16 'v_evs' ), 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ) ) ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 44, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X,
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( U,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( X ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 U, 'c_Message_Omsg_OKey'( W ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', 'v_evs' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.16 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', X, 'c_Message_Omsg_OMPair'( Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( W ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 U, 'c_Message_Omsg_OKey'( W ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 9, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( Y,
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( W,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( Y ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 W, 'c_Message_Omsg_OKey'( V0 ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.50/1.16 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OKey'( V0 ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 W, 'c_Message_Omsg_OKey'( V0 ) ) ) ) ) ), 'c_List_Oset'( X,
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( X,
% 0.50/1.16 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ) ] )
% 0.50/1.16 , 4, clause( 3, [ 'c_in'( 'v_evs', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.50/1.16 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, 'v_evs' ), :=( Y, X ), :=( Z, Y ), :=( T, Z
% 0.50/1.16 ), :=( U, T ), :=( W, U ), :=( V0, W )] ), substitution( 1, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 13, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X,
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( U,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( X ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( X, 'c_Event_Obad',
% 0.50/1.16 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', X, 'c_Message_Omsg_OMPair'( Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( W ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 U, 'c_Message_Omsg_OKey'( W ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 U, 'c_Message_Omsg_OKey'( W ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', 'v_evs' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.16 , clause( 44, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X,
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( U,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( X ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 U, 'c_Message_Omsg_OKey'( W ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', 'v_evs' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.16 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', X, 'c_Message_Omsg_OMPair'( Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( W ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 U, 'c_Message_Omsg_OKey'( W ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.50/1.16 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.50/1.16 , 1 ), ==>( 3, 2 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 45, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.50/1.16 'v_evs' ) ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 5, [ 'c_in'( Z, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T, 'tc_Event_Oevent' )
% 0.50/1.16 , 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , 1, clause( 12, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_sko__usf'( 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ),
% 0.50/1.16 'v_evs' ), 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ) ) ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, 'v_sko__usf'( 'v_B', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ), 'v_evs' ) ), :=( Y, 'v_B' ), :=(
% 0.50/1.16 Z, 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , :=( T, 'v_evs' )] ), substitution( 1, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 22, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.50/1.16 'v_evs' ) ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 45, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.50/1.16 'v_evs' ) ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 46, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ),
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 6, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.50/1.16 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.50/1.16 'tc_Message_Omsg' ) ) ] )
% 0.50/1.16 , 1, clause( 22, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.50/1.16 'v_evs' ) ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, 'v_NA' ), :=( Y, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ),
% 0.50/1.16 :=( Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' ) )] ),
% 0.50/1.16 substitution( 1, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 23, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ),
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 46, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ),
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 47, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 6, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.50/1.16 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.50/1.16 'tc_Message_Omsg' ) ) ] )
% 0.50/1.16 , 1, clause( 23, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X',
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ),
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), :=( Z, 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', 'v_evs' ) )] ), substitution( 1, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 25, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 47, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' )
% 0.50/1.16 , 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 48, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 7, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.50/1.16 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.16 , 1, clause( 25, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B'
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.50/1.16 ) ) ), :=( Y, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' ) )] )
% 0.50/1.16 , substitution( 1, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 27, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , clause( 48, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' )
% 0.50/1.16 , 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 49, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( X,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.50/1.16 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 'v_B',
% 0.50/1.16 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( X,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 13, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X,
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( U,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( X ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( X, 'c_Event_Obad',
% 0.50/1.16 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', X, 'c_Message_Omsg_OMPair'( Y,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( W ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 U, 'c_Message_Omsg_OKey'( W ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 U, 'c_Message_Omsg_OKey'( W ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.16 'c_Message_Oagent_OSpy', 'v_evs' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.16 , 3, clause( 27, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B'
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs' )
% 0.50/1.16 ), 'tc_Message_Omsg' ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, 'v_B' ), :=( Y, X ), :=( Z, Y ), :=( T, Z )
% 0.50/1.16 , :=( U, 'v_NB' ), :=( W, 'v_K' )] ), substitution( 1, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 50, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( X,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.50/1.16 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 2, [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , 0, clause( 49, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( X,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.50/1.16 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 'v_B',
% 0.50/1.16 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( X,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.50/1.16 Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 28, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.50/1.16 'v_B', 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.50/1.16 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.50/1.16 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , clause( 50, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( X,
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.50/1.16 'v_B' ), 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.50/1.16 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B',
% 0.50/1.16 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 51, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.50/1.16 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , clause( 28, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.50/1.16 , 'v_B', 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs',
% 0.50/1.16 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'(
% 0.50/1.16 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.50/1.16 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( Z,
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( 'v_NB',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'(
% 0.50/1.16 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , 1, clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.50/1.16 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_X_H', 'c_Message_Omsg_OCrypt'(
% 0.50/1.16 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OMPair'(
% 0.50/1.16 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.16 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ),
% 0.50/1.16 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, 'v_NA' ), :=( Y, 'v_A' ), :=( Z, 'v_X_H' )] )
% 0.50/1.16 , substitution( 1, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 52, [] )
% 0.50/1.16 , clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.50/1.16 , 0, clause( 51, [ 'c_in'( 'c_Event_Oevent_OSays'(
% 0.50/1.16 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.50/1.16 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.50/1.16 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.50/1.16 'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 0.50/1.16 , 'c_List_Oset'( 'v_evs', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.50/1.16 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 30, [] )
% 0.50/1.16 , clause( 52, [] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 end.
% 0.50/1.16
% 0.50/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/1.16
% 0.50/1.16 Memory use:
% 0.50/1.16
% 0.50/1.16 space for terms: 1264
% 0.50/1.16 space for clauses: 4047
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 clauses generated: 31
% 0.50/1.16 clauses kept: 31
% 0.50/1.16 clauses selected: 30
% 0.50/1.16 clauses deleted: 0
% 0.50/1.16 clauses inuse deleted: 0
% 0.50/1.16
% 0.50/1.16 subsentry: 0
% 0.50/1.16 literals s-matched: 0
% 0.50/1.16 literals matched: 0
% 0.50/1.16 full subsumption: 0
% 0.50/1.16
% 0.50/1.16 checksum: -1111411102
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Bliksem ended
%------------------------------------------------------------------------------