TSTP Solution File: SWV298-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV298-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:23:46 EDT 2022
% Result : Unsatisfiable 5.37s 5.74s
% Output : Refutation 5.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV298-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.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 : Tue Jun 14 21:59:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.37/5.74 *** allocated 10000 integers for termspace/termends
% 5.37/5.74 *** allocated 10000 integers for clauses
% 5.37/5.74 *** allocated 10000 integers for justifications
% 5.37/5.74 Bliksem 1.12
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 Automatic Strategy Selection
% 5.37/5.74
% 5.37/5.74 Clauses:
% 5.37/5.74 [
% 5.37/5.74 [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ],
% 5.37/5.74 [ 'c_in'( 'v_evs3', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.74 'tc_Event_Oevent' ) ) ],
% 5.37/5.74 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 5.37/5.74 ) ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent'
% 5.37/5.74 ) ],
% 5.37/5.74 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_Aa', 'c_Message_Oagent_OServer',
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.74 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.74 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ),
% 5.37/5.74 'tc_Event_Oevent' ) ],
% 5.37/5.74 [ ~( =( X, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), ~( =( 'v_B', 'v_Ba' )
% 5.37/5.74 ) ],
% 5.37/5.74 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T,
% 5.37/5.74 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 5.37/5.74 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 5.37/5.74 ,
% 5.37/5.74 [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 5.37/5.74 X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 5.37/5.74 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 5.37/5.74 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 5.37/5.74 'tc_Message_Omsg' ) ],
% 5.37/5.74 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 5.37/5.74 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 5.37/5.74 'tc_Message_Omsg' ) ],
% 5.37/5.74 [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 5.37/5.74 ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OAgent'( T ) ) ) ),
% 5.37/5.74 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( Z,
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( U ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Event_Obad', 'tc_Message_Oagent' ), =( U, T ) ]
% 5.37/5.74 ] .
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 percentage equality = 0.157895, percentage horn = 0.900000
% 5.37/5.74 This is a problem with some equality
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 Options Used:
% 5.37/5.74
% 5.37/5.74 useres = 1
% 5.37/5.74 useparamod = 1
% 5.37/5.74 useeqrefl = 1
% 5.37/5.74 useeqfact = 1
% 5.37/5.74 usefactor = 1
% 5.37/5.74 usesimpsplitting = 0
% 5.37/5.74 usesimpdemod = 5
% 5.37/5.74 usesimpres = 3
% 5.37/5.74
% 5.37/5.74 resimpinuse = 1000
% 5.37/5.74 resimpclauses = 20000
% 5.37/5.74 substype = eqrewr
% 5.37/5.74 backwardsubs = 1
% 5.37/5.74 selectoldest = 5
% 5.37/5.74
% 5.37/5.74 litorderings [0] = split
% 5.37/5.74 litorderings [1] = extend the termordering, first sorting on arguments
% 5.37/5.74
% 5.37/5.74 termordering = kbo
% 5.37/5.74
% 5.37/5.74 litapriori = 0
% 5.37/5.74 termapriori = 1
% 5.37/5.74 litaposteriori = 0
% 5.37/5.74 termaposteriori = 0
% 5.37/5.74 demodaposteriori = 0
% 5.37/5.74 ordereqreflfact = 0
% 5.37/5.74
% 5.37/5.74 litselect = negord
% 5.37/5.74
% 5.37/5.74 maxweight = 15
% 5.37/5.74 maxdepth = 30000
% 5.37/5.74 maxlength = 115
% 5.37/5.74 maxnrvars = 195
% 5.37/5.74 excuselevel = 1
% 5.37/5.74 increasemaxweight = 1
% 5.37/5.74
% 5.37/5.74 maxselected = 10000000
% 5.37/5.74 maxnrclauses = 10000000
% 5.37/5.74
% 5.37/5.74 showgenerated = 0
% 5.37/5.74 showkept = 0
% 5.37/5.74 showselected = 0
% 5.37/5.74 showdeleted = 0
% 5.37/5.74 showresimp = 1
% 5.37/5.74 showstatus = 2000
% 5.37/5.74
% 5.37/5.74 prologoutput = 1
% 5.37/5.74 nrgoals = 5000000
% 5.37/5.74 totalproof = 1
% 5.37/5.74
% 5.37/5.74 Symbols occurring in the translation:
% 5.37/5.74
% 5.37/5.74 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.37/5.74 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 5.37/5.74 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 5.37/5.74 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.37/5.74 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.37/5.74 'v_A' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 5.37/5.74 'c_Event_Obad' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 5.37/5.74 'tc_Message_Oagent' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 5.37/5.74 'c_in' [42, 3] (w:1, o:73, a:1, s:1, b:0),
% 5.37/5.74 'v_evs3' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 5.37/5.74 'c_OtwayRees_Ootway' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 5.37/5.74 'tc_Event_Oevent' [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 5.37/5.74 'tc_List_Olist' [46, 1] (w:1, o:38, a:1, s:1, b:0),
% 5.37/5.74 'v_B' [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 5.37/5.74 'v_NA' [48, 0] (w:1, o:17, a:1, s:1, b:0),
% 5.37/5.74 'c_Message_Omsg_ONonce' [49, 1] (w:1, o:39, a:1, s:1, b:0),
% 5.37/5.74 'c_Message_Omsg_OAgent' [50, 1] (w:1, o:40, a:1, s:1, b:0),
% 5.37/5.74 'c_Public_OshrK' [51, 1] (w:1, o:41, a:1, s:1, b:0),
% 5.37/5.74 'c_Message_Omsg_OMPair' [52, 2] (w:1, o:70, a:1, s:1, b:0),
% 5.37/5.74 'c_Message_Omsg_OCrypt' [53, 2] (w:1, o:71, a:1, s:1, b:0),
% 5.37/5.74 'c_Event_Oevent_OSays' [54, 3] (w:1, o:74, a:1, s:1, b:0),
% 5.37/5.74 'c_List_Oset' [55, 2] (w:1, o:69, a:1, s:1, b:0),
% 5.37/5.74 'v_Aa' [56, 0] (w:1, o:15, a:1, s:1, b:0),
% 5.37/5.74 'c_Message_Oagent_OServer' [57, 0] (w:1, o:18, a:1, s:1, b:0),
% 5.37/5.74 'v_Ba' [58, 0] (w:1, o:19, a:1, s:1, b:0),
% 5.37/5.74 'v_NB' [59, 0] (w:1, o:20, a:1, s:1, b:0),
% 5.37/5.74 'c_Message_Oagent_OSpy' [65, 0] (w:1, o:26, a:1, s:1, b:0),
% 5.37/5.74 'c_Event_Oknows' [66, 2] (w:1, o:72, a:1, s:1, b:0),
% 5.37/5.74 'c_Message_Oanalz' [67, 1] (w:1, o:42, a:1, s:1, b:0),
% 5.37/5.74 'tc_Message_Omsg' [68, 0] (w:1, o:27, a:1, s:1, b:0),
% 5.37/5.74 'c_Message_Oparts' [71, 1] (w:1, o:43, a:1, s:1, b:0).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 Starting Search:
% 5.37/5.74
% 5.37/5.74 Resimplifying inuse:
% 5.37/5.74 Done
% 5.37/5.74
% 5.37/5.74 Failed to find proof!
% 5.37/5.74 maxweight = 15
% 5.37/5.74 maxnrclauses = 10000000
% 5.37/5.74 Generated: 182486
% 5.37/5.74 Kept: 109
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 The strategy used was not complete!
% 5.37/5.74
% 5.37/5.74 Increased maxweight to 16
% 5.37/5.74
% 5.37/5.74 Starting Search:
% 5.37/5.74
% 5.37/5.74 Resimplifying inuse:
% 5.37/5.74 Done
% 5.37/5.74
% 5.37/5.74 Failed to find proof!
% 5.37/5.74 maxweight = 16
% 5.37/5.74 maxnrclauses = 10000000
% 5.37/5.74 Generated: 185905
% 5.37/5.74 Kept: 117
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 The strategy used was not complete!
% 5.37/5.74
% 5.37/5.74 Increased maxweight to 17
% 5.37/5.74
% 5.37/5.74 Starting Search:
% 5.37/5.74
% 5.37/5.74 Resimplifying inuse:
% 5.37/5.74 Done
% 5.37/5.74
% 5.37/5.74 Failed to find proof!
% 5.37/5.74 maxweight = 17
% 5.37/5.74 maxnrclauses = 10000000
% 5.37/5.74 Generated: 187315
% 5.37/5.74 Kept: 119
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 The strategy used was not complete!
% 5.37/5.74
% 5.37/5.74 Increased maxweight to 18
% 5.37/5.74
% 5.37/5.74 Starting Search:
% 5.37/5.74
% 5.37/5.74 Resimplifying inuse:
% 5.37/5.74 Done
% 5.37/5.74
% 5.37/5.74 Failed to find proof!
% 5.37/5.74 maxweight = 18
% 5.37/5.74 maxnrclauses = 10000000
% 5.37/5.74 Generated: 192965
% 5.37/5.74 Kept: 129
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 The strategy used was not complete!
% 5.37/5.74
% 5.37/5.74 Increased maxweight to 19
% 5.37/5.74
% 5.37/5.74 Starting Search:
% 5.37/5.74
% 5.37/5.74 Resimplifying inuse:
% 5.37/5.74 Done
% 5.37/5.74
% 5.37/5.74 Failed to find proof!
% 5.37/5.74 maxweight = 19
% 5.37/5.74 maxnrclauses = 10000000
% 5.37/5.74 Generated: 192965
% 5.37/5.74 Kept: 129
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 The strategy used was not complete!
% 5.37/5.74
% 5.37/5.74 Increased maxweight to 20
% 5.37/5.74
% 5.37/5.74 Starting Search:
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 Bliksems!, er is een bewijs:
% 5.37/5.74 % SZS status Unsatisfiable
% 5.37/5.74 % SZS output start Refutation
% 5.37/5.74
% 5.37/5.74 clause( 0, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 1, [ 'c_in'( 'v_evs3', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.74 'tc_Event_Oevent' ) ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 2, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 5.37/5.74 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 3, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_Aa',
% 5.37/5.74 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.74 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ),
% 5.37/5.74 'tc_Event_Oevent' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 4, [ ~( =( X, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), ~( =( 'v_Ba',
% 5.37/5.74 'v_B' ) ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 5, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 5.37/5.74 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 5.37/5.74 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 6, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ),
% 5.37/5.74 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'(
% 5.37/5.74 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 5.37/5.74 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 9, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.74 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( Z,
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( T ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'(
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( U ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Event_Obad', 'tc_Message_Oagent' ), =( U, T ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 10, [ ~( =( 'v_Ba', 'v_B' ) ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 12, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), 'c_Message_Oanalz'( Y ),
% 5.37/5.74 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 14, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, X ) ),
% 5.37/5.74 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 15, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 5.37/5.74 'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_Message_Oanalz'( T ),
% 5.37/5.74 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( T ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 16, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 23, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T,
% 5.37/5.74 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_OMPair'( X, W ) ) ) ),
% 5.37/5.74 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 29, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y,
% 5.37/5.74 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, U ) ) ),
% 5.37/5.74 'c_List_Oset'( W, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( U,
% 5.37/5.74 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', W ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 31, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 5.37/5.74 'v_NA' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.74 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.74 ) ) ) ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 5.37/5.74 , 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 47, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Z ) ) ) ),
% 5.37/5.74 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 5.37/5.74 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'( Y,
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( T ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 5.37/5.74 'c_Event_Obad', 'tc_Message_Oagent' ), =( T, Z ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 136, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 5.37/5.74 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ), 'c_Message_Oanalz'(
% 5.37/5.74 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 139, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.74 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 141, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.74 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 145, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.74 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( X ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), =( X,
% 5.37/5.74 'v_Ba' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 147, [ =( 'v_Ba', 'v_B' ) ] )
% 5.37/5.74 .
% 5.37/5.74 clause( 151, [] )
% 5.37/5.74 .
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 % SZS output end Refutation
% 5.37/5.74 found a proof!
% 5.37/5.74
% 5.37/5.74 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.37/5.74
% 5.37/5.74 initialclauses(
% 5.37/5.74 [ clause( 153, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 5.37/5.74 ] )
% 5.37/5.74 , clause( 154, [ 'c_in'( 'v_evs3', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.74 'tc_Event_Oevent' ) ) ] )
% 5.37/5.74 , clause( 155, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 5.37/5.74 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 5.37/5.74 , clause( 156, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_Aa',
% 5.37/5.74 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.74 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ),
% 5.37/5.74 'tc_Event_Oevent' ) ] )
% 5.37/5.74 , clause( 157, [ ~( =( X, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), ~( =(
% 5.37/5.74 'v_B', 'v_Ba' ) ) ] )
% 5.37/5.74 , clause( 158, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 5.37/5.74 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 5.37/5.74 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 159, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 5.37/5.74 ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 160, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 161, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 5.37/5.74 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 162, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.74 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( Z,
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( T ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'(
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( U ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Event_Obad', 'tc_Message_Oagent' ), =( U, T ) ] )
% 5.37/5.74 ] ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 0, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 5.37/5.74 , clause( 153, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 5.37/5.74 ] )
% 5.37/5.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 1, [ 'c_in'( 'v_evs3', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.74 'tc_Event_Oevent' ) ) ] )
% 5.37/5.74 , clause( 154, [ 'c_in'( 'v_evs3', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.74 'tc_Event_Oevent' ) ) ] )
% 5.37/5.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 2, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 5.37/5.74 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 5.37/5.74 , clause( 155, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 5.37/5.74 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 5.37/5.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 3, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_Aa',
% 5.37/5.74 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.74 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ),
% 5.37/5.74 'tc_Event_Oevent' ) ] )
% 5.37/5.74 , clause( 156, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_Aa',
% 5.37/5.74 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.74 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ),
% 5.37/5.74 'tc_Event_Oevent' ) ] )
% 5.37/5.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 eqswap(
% 5.37/5.74 clause( 164, [ ~( =( 'v_Ba', 'v_B' ) ), ~( =( X, 'c_Message_Omsg_ONonce'(
% 5.37/5.74 'v_NB' ) ) ) ] )
% 5.37/5.74 , clause( 157, [ ~( =( X, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), ~( =(
% 5.37/5.74 'v_B', 'v_Ba' ) ) ] )
% 5.37/5.74 , 1, substitution( 0, [ :=( X, X )] )).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 4, [ ~( =( X, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), ~( =( 'v_Ba',
% 5.37/5.74 'v_B' ) ) ] )
% 5.37/5.74 , clause( 164, [ ~( =( 'v_Ba', 'v_B' ) ), ~( =( X, 'c_Message_Omsg_ONonce'(
% 5.37/5.74 'v_NB' ) ) ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 5.37/5.74 0 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 5, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 5.37/5.74 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 5.37/5.74 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 158, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 5.37/5.74 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 5.37/5.74 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.37/5.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 6, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ),
% 5.37/5.74 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 159, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 5.37/5.74 ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.37/5.74 ), ==>( 1, 1 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'(
% 5.37/5.74 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 160, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.37/5.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 5.37/5.74 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 161, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 5.37/5.74 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.37/5.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 9, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.74 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( Z,
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( T ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'(
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( U ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Event_Obad', 'tc_Message_Oagent' ), =( U, T ) ] )
% 5.37/5.74 , clause( 162, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.74 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.74 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( Z,
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( T ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'(
% 5.37/5.74 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 5.37/5.74 Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.74 'c_Message_Omsg_OAgent'( U ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Event_Obad', 'tc_Message_Oagent' ), =( U, T ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 5.37/5.74 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 5.37/5.74 , 3 ), ==>( 4, 4 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 eqswap(
% 5.37/5.74 clause( 182, [ ~( =( 'c_Message_Omsg_ONonce'( 'v_NB' ), X ) ), ~( =( 'v_Ba'
% 5.37/5.74 , 'v_B' ) ) ] )
% 5.37/5.74 , clause( 4, [ ~( =( X, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), ~( =( 'v_Ba'
% 5.37/5.74 , 'v_B' ) ) ] )
% 5.37/5.74 , 0, substitution( 0, [ :=( X, X )] )).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 eqrefl(
% 5.37/5.74 clause( 185, [ ~( =( 'v_Ba', 'v_B' ) ) ] )
% 5.37/5.74 , clause( 182, [ ~( =( 'c_Message_Omsg_ONonce'( 'v_NB' ), X ) ), ~( =(
% 5.37/5.74 'v_Ba', 'v_B' ) ) ] )
% 5.37/5.74 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_ONonce'( 'v_NB' ) )] )).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 10, [ ~( =( 'v_Ba', 'v_B' ) ) ] )
% 5.37/5.74 , clause( 185, [ ~( =( 'v_Ba', 'v_B' ) ) ] )
% 5.37/5.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 resolution(
% 5.37/5.74 clause( 187, [ 'c_in'( X, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 5.37/5.74 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 5.37/5.74 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , 0, clause( 6, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 5.37/5.74 ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.37/5.74 substitution( 1, [ :=( X, 'c_Message_Omsg_OMPair'( X, Y ) ), :=( Y, Z )] )
% 5.37/5.74 ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 12, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), 'c_Message_Oanalz'( Y ),
% 5.37/5.74 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , clause( 187, [ 'c_in'( X, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 5.37/5.74 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 5.37/5.74 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 5.37/5.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 resolution(
% 5.37/5.74 clause( 188, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( X, Y ) ),
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , 0, clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.37/5.74 substitution( 1, [ :=( X, T ), :=( Y, 'c_Message_Omsg_OMPair'( X, Y ) ),
% 5.37/5.74 :=( Z, Z )] )).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 14, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, X ) ),
% 5.37/5.74 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , clause( 188, [ 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ),
% 5.37/5.74 ~( 'c_in'( 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( X, Y ) )
% 5.37/5.74 , 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 5.37/5.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 resolution(
% 5.37/5.74 clause( 189, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( X, Z ) ),
% 5.37/5.74 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , clause( 12, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 5.37/5.74 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), 'c_Message_Oanalz'( Y ),
% 5.37/5.74 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , 1, clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.37/5.74 substitution( 1, [ :=( X, T ), :=( Y, 'c_Message_Omsg_OMPair'( X, Z ) ),
% 5.37/5.74 :=( Z, Y )] )).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 15, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 5.37/5.74 'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_Message_Oanalz'( T ),
% 5.37/5.74 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( T ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 189, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 5.37/5.74 ~( 'c_in'( 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( X, Z ) )
% 5.37/5.74 , 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z ), :=( T, X )] ),
% 5.37/5.74 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 resolution(
% 5.37/5.74 clause( 190, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 5.37/5.74 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , clause( 6, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) )
% 5.37/5.74 , 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , 0, clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 5.37/5.74 , Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 16, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.74 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.74 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 190, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 5.37/5.74 ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 5.37/5.74 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.37/5.74 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 resolution(
% 5.37/5.74 clause( 191, [ 'c_in'( Y, 'c_Message_Oparts'( T ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_OMPair'( W,
% 5.37/5.74 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( Y, Z ) ) ) ),
% 5.37/5.74 'c_Message_Oanalz'( T ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , clause( 15, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 5.37/5.74 'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_Message_Oanalz'( T ),
% 5.37/5.74 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( T ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , 0, clause( 14, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 5.37/5.74 , ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, X )
% 5.37/5.74 ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.37/5.74 substitution( 1, [ :=( X, 'c_Message_Omsg_OMPair'( X,
% 5.37/5.74 'c_Message_Omsg_OMPair'( Y, Z ) ) ), :=( Y, T ), :=( Z, U ), :=( T, W )] )
% 5.37/5.74 ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 23, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 5.37/5.74 'c_in'( 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T,
% 5.37/5.74 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_OMPair'( X, W ) ) ) ),
% 5.37/5.74 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , clause( 191, [ 'c_in'( Y, 'c_Message_Oparts'( T ), 'tc_Message_Omsg' ),
% 5.37/5.74 ~( 'c_in'( 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_OMPair'( W,
% 5.37/5.74 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( Y, Z ) ) ) ),
% 5.37/5.74 'c_Message_Oanalz'( T ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, W ), :=( T, Y ), :=( U
% 5.37/5.74 , Z ), :=( W, T )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 resolution(
% 5.37/5.74 clause( 192, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 5.37/5.74 'c_Event_Oevent_OSays'( U, W, 'c_Message_Omsg_OMPair'( Z,
% 5.37/5.74 'c_Message_Omsg_OMPair'( T, X ) ) ), 'c_List_Oset'( Y, 'tc_Event_Oevent'
% 5.37/5.74 ), 'tc_Event_Oevent' ) ) ] )
% 5.37/5.74 , clause( 14, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ),
% 5.37/5.74 ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, X ) )
% 5.37/5.74 , 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.74 , 1, clause( 5, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 5.37/5.74 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 5.37/5.74 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', Y ) ), :=( Z, Z ), :=( T, T )] ), substitution(
% 5.37/5.74 1, [ :=( X, U ), :=( Y, W ), :=( Z, 'c_Message_Omsg_OMPair'( Z,
% 5.37/5.74 'c_Message_Omsg_OMPair'( T, X ) ) ), :=( T, Y )] )).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 subsumption(
% 5.37/5.74 clause( 29, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y,
% 5.37/5.74 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, U ) ) ),
% 5.37/5.74 'c_List_Oset'( W, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( U,
% 5.37/5.74 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', W ) ),
% 5.37/5.74 'tc_Message_Omsg' ) ] )
% 5.37/5.74 , clause( 192, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 5.37/5.74 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 5.37/5.74 'c_Event_Oevent_OSays'( U, W, 'c_Message_Omsg_OMPair'( Z,
% 5.37/5.74 'c_Message_Omsg_OMPair'( T, X ) ) ), 'c_List_Oset'( Y, 'tc_Event_Oevent'
% 5.37/5.74 ), 'tc_Event_Oevent' ) ) ] )
% 5.37/5.74 , substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, Z ), :=( T, T ), :=( U
% 5.37/5.74 , X ), :=( W, Y )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.37/5.74
% 5.37/5.74
% 5.37/5.74 resolution(
% 5.37/5.74 clause( 193, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 5.37/5.74 'v_NA' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.74 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.75 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.75 ) ) ) ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 5.37/5.75 , 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , clause( 5, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'(
% 5.37/5.75 T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 5.37/5.75 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , 0, clause( 3, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_Aa',
% 5.37/5.75 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.75 ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ),
% 5.37/5.75 'tc_Event_Oevent' ) ] )
% 5.37/5.75 , 0, substitution( 0, [ :=( X, 'v_Aa' ), :=( Y, 'c_Message_Oagent_OServer'
% 5.37/5.75 ), :=( Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.75 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.75 ) ) ) ) ) ), :=( T, 'v_evs3' )] ), substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 subsumption(
% 5.37/5.75 clause( 31, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 5.37/5.75 'v_NA' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.75 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.75 ) ) ) ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 5.37/5.75 , 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , clause( 193, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 5.37/5.75 'v_NA' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.75 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.75 ) ) ) ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 5.37/5.75 , 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 resolution(
% 5.37/5.75 clause( 194, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Z ) ) ) ),
% 5.37/5.75 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 5.37/5.75 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'( Y,
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( T ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 5.37/5.75 'c_Event_Obad', 'tc_Message_Oagent' ), =( T, Z ) ] )
% 5.37/5.75 , clause( 9, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.75 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( Z,
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( T ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'(
% 5.37/5.75 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( U ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.75 'c_Event_Obad', 'tc_Message_Oagent' ), =( U, T ) ] )
% 5.37/5.75 , 0, clause( 1, [ 'c_in'( 'v_evs3', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 5.37/5.75 'tc_Event_Oevent' ) ) ] )
% 5.37/5.75 , 0, substitution( 0, [ :=( X, 'v_evs3' ), :=( Y, X ), :=( Z, Y ), :=( T, Z
% 5.37/5.75 ), :=( U, T )] ), substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 subsumption(
% 5.37/5.75 clause( 47, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Z ) ) ) ),
% 5.37/5.75 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 5.37/5.75 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'( Y,
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( T ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 5.37/5.75 'c_Event_Obad', 'tc_Message_Oagent' ), =( T, Z ) ] )
% 5.37/5.75 , clause( 194, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X )
% 5.37/5.75 , 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Z ) ) ) ),
% 5.37/5.75 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 5.37/5.75 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'( Y,
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( T ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 5.37/5.75 'c_Event_Obad', 'tc_Message_Oagent' ), =( T, Z ) ] )
% 5.37/5.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.37/5.75 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 5.37/5.75 ).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 resolution(
% 5.37/5.75 clause( 196, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 5.37/5.75 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ), 'c_Message_Oanalz'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , clause( 29, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y,
% 5.37/5.75 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, U ) ) ),
% 5.37/5.75 'c_List_Oset'( W, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( U,
% 5.37/5.75 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', W ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , 0, clause( 2, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 5.37/5.75 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 5.37/5.75 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 5.37/5.75 , 0, substitution( 0, [ :=( X, 'v_A' ), :=( Y, 'v_B' ), :=( Z,
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ) ), :=( T, 'c_Message_Omsg_OAgent'(
% 5.37/5.75 'v_A' ) ), :=( U, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B'
% 5.37/5.75 ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ), :=( W, 'v_evs3' )] ),
% 5.37/5.75 substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 subsumption(
% 5.37/5.75 clause( 136, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 5.37/5.75 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ), 'c_Message_Oanalz'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , clause( 196, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 5.37/5.75 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ), 'c_Message_Oanalz'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 resolution(
% 5.37/5.75 clause( 197, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , clause( 16, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 5.37/5.75 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 5.37/5.75 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , 0, clause( 136, [ 'c_in'( 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 5.37/5.75 ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 5.37/5.75 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OAgent'( 'v_B' ) ), :=( Y,
% 5.37/5.75 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ), :=( Z, 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) )] ), substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 subsumption(
% 5.37/5.75 clause( 139, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , clause( 197, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' )
% 5.37/5.75 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 resolution(
% 5.37/5.75 clause( 198, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , clause( 23, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 5.37/5.75 ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T,
% 5.37/5.75 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_OMPair'( X, W ) ) ) ),
% 5.37/5.75 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.75 , 1, clause( 31, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 5.37/5.75 'v_NA' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.75 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.75 ) ) ) ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 5.37/5.75 , 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 5.37/5.75 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ) ), :=( Y, 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), :=( Z, 'c_Message_Omsg_ONonce'(
% 5.37/5.75 'v_NA' ) ), :=( T, 'c_Message_Omsg_OAgent'( 'v_A' ) ), :=( U,
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ), :=( W, 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.75 ) )] ), substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 subsumption(
% 5.37/5.75 clause( 141, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , clause( 198, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' )
% 5.37/5.75 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 resolution(
% 5.37/5.75 clause( 199, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.75 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), 'c_in'(
% 5.37/5.75 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), =( X, 'v_Ba' ) ] )
% 5.37/5.75 , clause( 47, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Z ) ) ) ),
% 5.37/5.75 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 5.37/5.75 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'( Y,
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( T ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 5.37/5.75 'c_Event_Obad', 'tc_Message_Oagent' ), =( T, Z ) ] )
% 5.37/5.75 , 0, clause( 141, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 5.37/5.75 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , 0, substitution( 0, [ :=( X, 'v_A' ), :=( Y, 'c_Message_Omsg_ONonce'(
% 5.37/5.75 'v_NA' ) ), :=( Z, 'v_Ba' ), :=( T, X )] ), substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 resolution(
% 5.37/5.75 clause( 201, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.75 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), =( X,
% 5.37/5.75 'v_Ba' ) ] )
% 5.37/5.75 , clause( 0, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 5.37/5.75 )
% 5.37/5.75 , 0, clause( 199, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 5.37/5.75 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), 'c_in'(
% 5.37/5.75 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), =( X, 'v_Ba' ) ] )
% 5.37/5.75 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 subsumption(
% 5.37/5.75 clause( 145, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.75 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), =( X,
% 5.37/5.75 'v_Ba' ) ] )
% 5.37/5.75 , clause( 201, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 5.37/5.75 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), =( X,
% 5.37/5.75 'v_Ba' ) ] )
% 5.37/5.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.37/5.75 1 )] ) ).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 eqswap(
% 5.37/5.75 clause( 203, [ =( 'v_Ba', X ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( X ) ) ) ),
% 5.37/5.75 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 5.37/5.75 ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.75 , clause( 145, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 5.37/5.75 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), =( X,
% 5.37/5.75 'v_Ba' ) ] )
% 5.37/5.75 , 1, substitution( 0, [ :=( X, X )] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 resolution(
% 5.37/5.75 clause( 204, [ =( 'v_Ba', 'v_B' ) ] )
% 5.37/5.75 , clause( 203, [ =( 'v_Ba', X ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( X ) ) ) ),
% 5.37/5.75 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 5.37/5.75 ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.75 , 1, clause( 139, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 5.37/5.75 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , 0, substitution( 0, [ :=( X, 'v_B' )] ), substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 subsumption(
% 5.37/5.75 clause( 147, [ =( 'v_Ba', 'v_B' ) ] )
% 5.37/5.75 , clause( 204, [ =( 'v_Ba', 'v_B' ) ] )
% 5.37/5.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 eqswap(
% 5.37/5.75 clause( 207, [ ~( =( 'v_B', 'v_Ba' ) ) ] )
% 5.37/5.75 , clause( 10, [ ~( =( 'v_Ba', 'v_B' ) ) ] )
% 5.37/5.75 , 0, substitution( 0, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 paramod(
% 5.37/5.75 clause( 213, [ ~( =( 'v_B', 'v_Ba' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) )
% 5.37/5.75 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 5.37/5.75 ) ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.75 , clause( 145, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 5.37/5.75 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( X ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 5.37/5.75 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ), =( X,
% 5.37/5.75 'v_Ba' ) ] )
% 5.37/5.75 , 1, clause( 207, [ ~( =( 'v_B', 'v_Ba' ) ) ] )
% 5.37/5.75 , 0, 3, substitution( 0, [ :=( X, 'v_Ba' )] ), substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 paramod(
% 5.37/5.75 clause( 371, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.75 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ), ~( =( 'v_B', 'v_Ba' ) ) ] )
% 5.37/5.75 , clause( 147, [ =( 'v_Ba', 'v_B' ) ] )
% 5.37/5.75 , 0, clause( 213, [ ~( =( 'v_B', 'v_Ba' ) ), ~( 'c_in'(
% 5.37/5.75 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_Ba' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ) ] )
% 5.37/5.75 , 1, 12, substitution( 0, [] ), substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 paramod(
% 5.37/5.75 clause( 373, [ ~( =( 'v_B', 'v_B' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 5.37/5.75 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 5.37/5.75 ) ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.75 , clause( 147, [ =( 'v_Ba', 'v_B' ) ] )
% 5.37/5.75 , 0, clause( 371, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 5.37/5.75 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ), ~( =( 'v_B', 'v_Ba' ) ) ] )
% 5.37/5.75 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 eqrefl(
% 5.37/5.75 clause( 374, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 5.37/5.75 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ) ] )
% 5.37/5.75 , clause( 373, [ ~( =( 'v_B', 'v_B' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 5.37/5.75 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'(
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 5.37/5.75 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 5.37/5.75 ) ), 'tc_Message_Omsg' ) ) ] )
% 5.37/5.75 , 0, substitution( 0, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 resolution(
% 5.37/5.75 clause( 375, [] )
% 5.37/5.75 , clause( 374, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 5.37/5.75 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ) ] )
% 5.37/5.75 , 0, clause( 139, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 5.37/5.75 'v_A' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 5.37/5.75 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 5.37/5.75 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Oparts'(
% 5.37/5.75 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 5.37/5.75 'tc_Message_Omsg' ) ] )
% 5.37/5.75 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 subsumption(
% 5.37/5.75 clause( 151, [] )
% 5.37/5.75 , clause( 375, [] )
% 5.37/5.75 , substitution( 0, [] ), permutation( 0, [] ) ).
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 end.
% 5.37/5.75
% 5.37/5.75 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.37/5.75
% 5.37/5.75 Memory use:
% 5.37/5.75
% 5.37/5.75 space for terms: 7926
% 5.37/5.75 space for clauses: 13526
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 clauses generated: 5890
% 5.37/5.75 clauses kept: 152
% 5.37/5.75 clauses selected: 62
% 5.37/5.75 clauses deleted: 1
% 5.37/5.75 clauses inuse deleted: 0
% 5.37/5.75
% 5.37/5.75 subsentry: 5753
% 5.37/5.75 literals s-matched: 1402
% 5.37/5.75 literals matched: 1402
% 5.37/5.75 full subsumption: 425
% 5.37/5.75
% 5.37/5.75 checksum: -1350733515
% 5.37/5.75
% 5.37/5.75
% 5.37/5.75 Bliksem ended
%------------------------------------------------------------------------------