TSTP Solution File: SWV347-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV347-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:24:21 EDT 2022
% Result : Unsatisfiable 32.65s 33.07s
% Output : Refutation 32.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV347-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Wed Jun 15 12:42:40 EDT 2022
% 0.12/0.32 % CPUTime :
% 32.65/33.07 *** allocated 10000 integers for termspace/termends
% 32.65/33.07 *** allocated 10000 integers for clauses
% 32.65/33.07 *** allocated 10000 integers for justifications
% 32.65/33.07 Bliksem 1.12
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 Automatic Strategy Selection
% 32.65/33.07
% 32.65/33.07 Clauses:
% 32.65/33.07 [
% 32.65/33.07 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 32.65/33.07 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, 'c_Message_Omsg_OMPair'( Z
% 32.65/33.07 , 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 32.65/33.07 'tc_Message_Omsg' ), =( U, V5 ) ],
% 32.65/33.07 [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ],
% 32.65/33.07 [ 'c_in'( 'v_Aa', 'c_Event_Obad', 'tc_Message_Oagent' ) ],
% 32.65/33.07 [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ],
% 32.65/33.07 [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 32.65/33.07 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 32.65/33.07 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'(
% 32.65/33.07 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 32.65/33.07 'tc_Message_Omsg' ) ) ]
% 32.65/33.07 ] .
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 percentage equality = 0.090909, percentage horn = 0.857143
% 32.65/33.07 This is a problem with some equality
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 Options Used:
% 32.65/33.07
% 32.65/33.07 useres = 1
% 32.65/33.07 useparamod = 1
% 32.65/33.07 useeqrefl = 1
% 32.65/33.07 useeqfact = 1
% 32.65/33.07 usefactor = 1
% 32.65/33.07 usesimpsplitting = 0
% 32.65/33.07 usesimpdemod = 5
% 32.65/33.07 usesimpres = 3
% 32.65/33.07
% 32.65/33.07 resimpinuse = 1000
% 32.65/33.07 resimpclauses = 20000
% 32.65/33.07 substype = eqrewr
% 32.65/33.07 backwardsubs = 1
% 32.65/33.07 selectoldest = 5
% 32.65/33.07
% 32.65/33.07 litorderings [0] = split
% 32.65/33.07 litorderings [1] = extend the termordering, first sorting on arguments
% 32.65/33.07
% 32.65/33.07 termordering = kbo
% 32.65/33.07
% 32.65/33.07 litapriori = 0
% 32.65/33.07 termapriori = 1
% 32.65/33.07 litaposteriori = 0
% 32.65/33.07 termaposteriori = 0
% 32.65/33.07 demodaposteriori = 0
% 32.65/33.07 ordereqreflfact = 0
% 32.65/33.07
% 32.65/33.07 litselect = negord
% 32.65/33.07
% 32.65/33.07 maxweight = 15
% 32.65/33.07 maxdepth = 30000
% 32.65/33.07 maxlength = 115
% 32.65/33.07 maxnrvars = 195
% 32.65/33.07 excuselevel = 1
% 32.65/33.07 increasemaxweight = 1
% 32.65/33.07
% 32.65/33.07 maxselected = 10000000
% 32.65/33.07 maxnrclauses = 10000000
% 32.65/33.07
% 32.65/33.07 showgenerated = 0
% 32.65/33.07 showkept = 0
% 32.65/33.07 showselected = 0
% 32.65/33.07 showdeleted = 0
% 32.65/33.07 showresimp = 1
% 32.65/33.07 showstatus = 2000
% 32.65/33.07
% 32.65/33.07 prologoutput = 1
% 32.65/33.07 nrgoals = 5000000
% 32.65/33.07 totalproof = 1
% 32.65/33.07
% 32.65/33.07 Symbols occurring in the translation:
% 32.65/33.07
% 32.65/33.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 32.65/33.07 . [1, 2] (w:1, o:47, a:1, s:1, b:0),
% 32.65/33.07 ! [4, 1] (w:0, o:37, a:1, s:1, b:0),
% 32.65/33.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 32.65/33.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 32.65/33.07 'c_Yahalom_Oyahalom' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 32.65/33.07 'tc_Event_Oevent' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 32.65/33.07 'tc_List_Olist' [42, 1] (w:1, o:42, a:1, s:1, b:0),
% 32.65/33.07 'c_in' [43, 3] (w:1, o:77, a:1, s:1, b:0),
% 32.65/33.07 'c_Public_OshrK' [47, 1] (w:1, o:43, a:1, s:1, b:0),
% 32.65/33.07 'c_Message_Omsg_OAgent' [49, 1] (w:1, o:44, a:1, s:1, b:0),
% 32.65/33.07 'c_Message_Omsg_ONonce' [51, 1] (w:1, o:45, a:1, s:1, b:0),
% 32.65/33.07 'c_Message_Omsg_OMPair' [53, 2] (w:1, o:73, a:1, s:1, b:0),
% 32.65/33.07 'c_Message_Omsg_OCrypt' [54, 2] (w:1, o:74, a:1, s:1, b:0),
% 32.65/33.07 'c_Event_Oevent_OGets' [55, 2] (w:1, o:75, a:1, s:1, b:0),
% 32.65/33.07 'c_List_Oset' [56, 2] (w:1, o:72, a:1, s:1, b:0),
% 32.65/33.07 'c_Event_Oevent_OSays' [63, 3] (w:1, o:78, a:1, s:1, b:0),
% 32.65/33.07 'c_Message_Oagent_OSpy' [64, 0] (w:1, o:24, a:1, s:1, b:0),
% 32.65/33.07 'c_Event_Oknows' [65, 2] (w:1, o:76, a:1, s:1, b:0),
% 32.65/33.07 'c_Message_Oanalz' [66, 1] (w:1, o:46, a:1, s:1, b:0),
% 32.65/33.07 'tc_Message_Omsg' [67, 0] (w:1, o:25, a:1, s:1, b:0),
% 32.65/33.07 'v_A' [68, 0] (w:1, o:26, a:1, s:1, b:0),
% 32.65/33.07 'c_Event_Obad' [69, 0] (w:1, o:27, a:1, s:1, b:0),
% 32.65/33.07 'tc_Message_Oagent' [70, 0] (w:1, o:28, a:1, s:1, b:0),
% 32.65/33.07 'v_Aa' [71, 0] (w:1, o:29, a:1, s:1, b:0),
% 32.65/33.07 'v_evs3' [72, 0] (w:1, o:30, a:1, s:1, b:0),
% 32.65/33.07 'c_Message_Oagent_OServer' [73, 0] (w:1, o:31, a:1, s:1, b:0),
% 32.65/33.07 'v_Ba' [74, 0] (w:1, o:32, a:1, s:1, b:0),
% 32.65/33.07 'v_NAa' [75, 0] (w:1, o:33, a:1, s:1, b:0),
% 32.65/33.07 'v_NB' [76, 0] (w:1, o:35, a:1, s:1, b:0),
% 32.65/33.07 'v_B' [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 32.65/33.07 'v_NA' [78, 0] (w:1, o:34, a:1, s:1, b:0).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 Starting Search:
% 32.65/33.07
% 32.65/33.07 Resimplifying inuse:
% 32.65/33.07 Done
% 32.65/33.07
% 32.65/33.07 Failed to find proof!
% 32.65/33.07 maxweight = 15
% 32.65/33.07 maxnrclauses = 10000000
% 32.65/33.07 Generated: 800778
% 32.65/33.07 Kept: 165
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 The strategy used was not complete!
% 32.65/33.07
% 32.65/33.07 Increased maxweight to 16
% 32.65/33.07
% 32.65/33.07 Starting Search:
% 32.65/33.07
% 32.65/33.07 Resimplifying inuse:
% 32.65/33.07 Done
% 32.65/33.07
% 32.65/33.07 Failed to find proof!
% 32.65/33.07 maxweight = 16
% 32.65/33.07 maxnrclauses = 10000000
% 32.65/33.07 Generated: 800778
% 32.65/33.07 Kept: 165
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 The strategy used was not complete!
% 32.65/33.07
% 32.65/33.07 Increased maxweight to 17
% 32.65/33.07
% 32.65/33.07 Starting Search:
% 32.65/33.07
% 32.65/33.07 Resimplifying inuse:
% 32.65/33.07 Done
% 32.65/33.07
% 32.65/33.07 Failed to find proof!
% 32.65/33.07 maxweight = 17
% 32.65/33.07 maxnrclauses = 10000000
% 32.65/33.07 Generated: 800778
% 32.65/33.07 Kept: 165
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 The strategy used was not complete!
% 32.65/33.07
% 32.65/33.07 Increased maxweight to 18
% 32.65/33.07
% 32.65/33.07 Starting Search:
% 32.65/33.07
% 32.65/33.07 Resimplifying inuse:
% 32.65/33.07 Done
% 32.65/33.07
% 32.65/33.07 Failed to find proof!
% 32.65/33.07 maxweight = 18
% 32.65/33.07 maxnrclauses = 10000000
% 32.65/33.07 Generated: 800778
% 32.65/33.07 Kept: 165
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 The strategy used was not complete!
% 32.65/33.07
% 32.65/33.07 Increased maxweight to 19
% 32.65/33.07
% 32.65/33.07 Starting Search:
% 32.65/33.07
% 32.65/33.07 Resimplifying inuse:
% 32.65/33.07 Done
% 32.65/33.07
% 32.65/33.07 Failed to find proof!
% 32.65/33.07 maxweight = 19
% 32.65/33.07 maxnrclauses = 10000000
% 32.65/33.07 Generated: 800778
% 32.65/33.07 Kept: 165
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 The strategy used was not complete!
% 32.65/33.07
% 32.65/33.07 Increased maxweight to 20
% 32.65/33.07
% 32.65/33.07 Starting Search:
% 32.65/33.07
% 32.65/33.07 Resimplifying inuse:
% 32.65/33.07 Done
% 32.65/33.07
% 32.65/33.07 Failed to find proof!
% 32.65/33.07 maxweight = 20
% 32.65/33.07 maxnrclauses = 10000000
% 32.65/33.07 Generated: 800778
% 32.65/33.07 Kept: 165
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 The strategy used was not complete!
% 32.65/33.07
% 32.65/33.07 Increased maxweight to 21
% 32.65/33.07
% 32.65/33.07 Starting Search:
% 32.65/33.07
% 32.65/33.07 Resimplifying inuse:
% 32.65/33.07 Done
% 32.65/33.07
% 32.65/33.07 Failed to find proof!
% 32.65/33.07 maxweight = 21
% 32.65/33.07 maxnrclauses = 10000000
% 32.65/33.07 Generated: 800778
% 32.65/33.07 Kept: 165
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 The strategy used was not complete!
% 32.65/33.07
% 32.65/33.07 Increased maxweight to 22
% 32.65/33.07
% 32.65/33.07 Starting Search:
% 32.65/33.07
% 32.65/33.07 Resimplifying inuse:
% 32.65/33.07 Done
% 32.65/33.07
% 32.65/33.07 Failed to find proof!
% 32.65/33.07 maxweight = 22
% 32.65/33.07 maxnrclauses = 10000000
% 32.65/33.07 Generated: 800778
% 32.65/33.07 Kept: 165
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 The strategy used was not complete!
% 32.65/33.07
% 32.65/33.07 Increased maxweight to 23
% 32.65/33.07
% 32.65/33.07 Starting Search:
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 Bliksems!, er is een bewijs:
% 32.65/33.07 % SZS status Unsatisfiable
% 32.65/33.07 % SZS output start Refutation
% 32.65/33.07
% 32.65/33.07 clause( 0, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ),
% 32.65/33.07 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 32.65/33.07 'tc_Message_Omsg' ), =( U, V5 ) ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 2, [ 'c_in'( 'v_Aa', 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 3, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 4, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 5, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 32.65/33.07 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 32.65/33.07 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 32.65/33.07 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 32.65/33.07 ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 32.65/33.07 ), 'tc_Message_Omsg' ) ) ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 128, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 32.65/33.07 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ), =( T, 'v_A' )
% 32.65/33.07 ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 165, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( T, 'v_A' ) ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 166, [ =( 'v_Aa', 'v_A' ) ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 167, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( T ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 .
% 32.65/33.07 clause( 168, [] )
% 32.65/33.07 .
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 % SZS output end Refutation
% 32.65/33.07 found a proof!
% 32.65/33.07
% 32.65/33.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 32.65/33.07
% 32.65/33.07 initialclauses(
% 32.65/33.07 [ clause( 170, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ),
% 32.65/33.07 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 32.65/33.07 'tc_Message_Omsg' ), =( U, V5 ) ] )
% 32.65/33.07 , clause( 171, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 32.65/33.07 ] )
% 32.65/33.07 , clause( 172, [ 'c_in'( 'v_Aa', 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 32.65/33.07 , clause( 173, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 , clause( 174, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer'
% 32.65/33.07 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 32.65/33.07 , clause( 175, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 32.65/33.07 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 32.65/33.07 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 32.65/33.07 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 32.65/33.07 ] )
% 32.65/33.07 , clause( 176, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 32.65/33.07 ), 'tc_Message_Omsg' ) ) ] )
% 32.65/33.07 ] ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 0, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ),
% 32.65/33.07 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 32.65/33.07 'tc_Message_Omsg' ), =( U, V5 ) ] )
% 32.65/33.07 , clause( 170, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ),
% 32.65/33.07 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 32.65/33.07 'tc_Message_Omsg' ), =( U, V5 ) ] )
% 32.65/33.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 32.65/33.07 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 ), :=( V2, V2 ), :=( V3, V3 )
% 32.65/33.07 , :=( V4, V4 ), :=( V5, V5 ), :=( V6, V6 )] ), permutation( 0, [ ==>( 0,
% 32.65/33.07 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 32.65/33.07 , clause( 171, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 32.65/33.07 ] )
% 32.65/33.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 2, [ 'c_in'( 'v_Aa', 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 32.65/33.07 , clause( 172, [ 'c_in'( 'v_Aa', 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 32.65/33.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 3, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 , clause( 173, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 4, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 32.65/33.07 , clause( 174, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer'
% 32.65/33.07 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 32.65/33.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 5, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 32.65/33.07 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 32.65/33.07 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 32.65/33.07 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 32.65/33.07 ] )
% 32.65/33.07 , clause( 175, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 32.65/33.07 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 32.65/33.07 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 32.65/33.07 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 32.65/33.07 ] )
% 32.65/33.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 32.65/33.07 ), 'tc_Message_Omsg' ) ) ] )
% 32.65/33.07 , clause( 176, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 32.65/33.07 ), 'tc_Message_Omsg' ) ) ] )
% 32.65/33.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 eqswap(
% 32.65/33.07 clause( 184, [ =( Y, X ), ~( 'c_in'( Z, 'c_Yahalom_Oyahalom',
% 32.65/33.07 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OGets'( T, 'c_Message_Omsg_OMPair'( U,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( V0 ), V1 ) ) ) ) ), 'c_List_Oset'( Z,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OSays'( V2, V3, 'c_Message_Omsg_OMPair'( V4,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V5 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( V6 ), V1 ) ) ) ) ), 'c_List_Oset'( Z,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V1,
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ),
% 32.65/33.07 'tc_Message_Omsg' ) ] )
% 32.65/33.07 , clause( 0, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ),
% 32.65/33.07 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0,
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 32.65/33.07 'tc_Message_Omsg' ), =( U, V5 ) ] )
% 32.65/33.07 , 4, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 32.65/33.07 :=( U, X ), :=( W, V0 ), :=( V0, V1 ), :=( V1, V2 ), :=( V2, V3 ), :=( V3
% 32.65/33.07 , V4 ), :=( V4, V5 ), :=( V5, Y ), :=( V6, V6 )] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 resolution(
% 32.65/33.07 clause( 185, [ =( 'v_A', X ), ~( 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom',
% 32.65/33.07 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OGets'( Y, 'c_Message_Omsg_OMPair'( Z,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( U ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) )
% 32.65/33.07 , 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ),
% 32.65/33.07 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'(
% 32.65/33.07 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 32.65/33.07 'tc_Message_Omsg' ) ] )
% 32.65/33.07 , clause( 184, [ =( Y, X ), ~( 'c_in'( Z, 'c_Yahalom_Oyahalom',
% 32.65/33.07 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OGets'( T, 'c_Message_Omsg_OMPair'( U,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( V0 ), V1 ) ) ) ) ), 'c_List_Oset'( Z,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OSays'( V2, V3, 'c_Message_Omsg_OMPair'( V4,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V5 ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( V6 ), V1 ) ) ) ) ), 'c_List_Oset'( Z,
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V1,
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ),
% 32.65/33.07 'tc_Message_Omsg' ) ] )
% 32.65/33.07 , 3, clause( 5, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 32.65/33.07 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 32.65/33.07 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 32.65/33.07 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 32.65/33.07 ] )
% 32.65/33.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_A' ), :=( Z, 'v_evs3' ), :=(
% 32.65/33.07 T, Y ), :=( U, Z ), :=( W, T ), :=( V0, U ), :=( V1,
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ), :=( V2, 'v_B' ), :=( V3,
% 32.65/33.07 'c_Message_Oagent_OServer' ), :=( V4, 'c_Message_Omsg_OAgent'( 'v_B' ) )
% 32.65/33.07 , :=( V5, 'v_B' ), :=( V6, 'v_NA' )] ), substitution( 1, [] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 resolution(
% 32.65/33.07 clause( 186, [ =( 'v_A', X ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 32.65/33.07 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 32.65/33.07 , clause( 185, [ =( 'v_A', X ), ~( 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom',
% 32.65/33.07 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), ~( 'c_in'(
% 32.65/33.07 'c_Event_Oevent_OGets'( Y, 'c_Message_Omsg_OMPair'( Z,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( U ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) )
% 32.65/33.07 , 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ),
% 32.65/33.07 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'(
% 32.65/33.07 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 32.65/33.07 'tc_Message_Omsg' ) ] )
% 32.65/33.07 , 1, clause( 3, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 32.65/33.07 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 32.65/33.07 :=( U, U )] ), substitution( 1, [] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 eqswap(
% 32.65/33.07 clause( 187, [ =( X, 'v_A' ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 32.65/33.07 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 32.65/33.07 , clause( 186, [ =( 'v_A', X ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 32.65/33.07 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 32.65/33.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 32.65/33.07 :=( U, U )] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 128, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 32.65/33.07 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ), =( T, 'v_A' )
% 32.65/33.07 ] )
% 32.65/33.07 , clause( 187, [ =( X, 'v_A' ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 32.65/33.07 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 32.65/33.07 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U
% 32.65/33.07 , U )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] )
% 32.65/33.07 ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 resolution(
% 32.65/33.07 clause( 189, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( T, 'v_A' ) ] )
% 32.65/33.07 , clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 32.65/33.07 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 32.65/33.07 ), 'tc_Message_Omsg' ) ) ] )
% 32.65/33.07 , 0, clause( 128, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 32.65/33.07 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ), =( T, 'v_A' )
% 32.65/33.07 ] )
% 32.65/33.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 32.65/33.07 Z, Z ), :=( T, T ), :=( U, U )] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 165, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( T, 'v_A' ) ] )
% 32.65/33.07 , clause( 189, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( T, 'v_A' ) ] )
% 32.65/33.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 32.65/33.07 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 eqswap(
% 32.65/33.07 clause( 191, [ =( 'v_A', X ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 , clause( 165, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( T, 'v_A' ) ] )
% 32.65/33.07 , 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X ),
% 32.65/33.07 :=( U, U )] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 resolution(
% 32.65/33.07 clause( 192, [ =( 'v_A', 'v_Aa' ) ] )
% 32.65/33.07 , clause( 191, [ =( 'v_A', X ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( X ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 , 1, clause( 4, [ 'c_in'( 'c_Event_Oevent_OGets'(
% 32.65/33.07 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OCrypt'(
% 32.65/33.07 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 32.65/33.07 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 32.65/33.07 ] )
% 32.65/33.07 , 0, substitution( 0, [ :=( X, 'v_Aa' ), :=( Y, 'c_Message_Oagent_OServer'
% 32.65/33.07 ), :=( Z, 'c_Message_Omsg_OAgent'( 'v_Ba' ) ), :=( T, 'v_Ba' ), :=( U,
% 32.65/33.07 'v_NAa' )] ), substitution( 1, [] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 eqswap(
% 32.65/33.07 clause( 193, [ =( 'v_Aa', 'v_A' ) ] )
% 32.65/33.07 , clause( 192, [ =( 'v_A', 'v_Aa' ) ] )
% 32.65/33.07 , 0, substitution( 0, [] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 166, [ =( 'v_Aa', 'v_A' ) ] )
% 32.65/33.07 , clause( 193, [ =( 'v_Aa', 'v_A' ) ] )
% 32.65/33.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 paramod(
% 32.65/33.07 clause( 196, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~(
% 32.65/33.07 'c_in'( 'c_Event_Oevent_OGets'( X, 'c_Message_Omsg_OMPair'( Y,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( T ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) )
% 32.65/33.07 , 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 32.65/33.07 )
% 32.65/33.07 , clause( 165, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( T, 'v_A' ) ] )
% 32.65/33.07 , 1, clause( 2, [ 'c_in'( 'v_Aa', 'c_Event_Obad', 'tc_Message_Oagent' ) ]
% 32.65/33.07 )
% 32.65/33.07 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 32.65/33.07 'v_Aa' ), :=( U, T )] ), substitution( 1, [] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 paramod(
% 32.65/33.07 clause( 397, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( T ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 'v_A', 'c_Event_Obad'
% 32.65/33.07 , 'tc_Message_Oagent' ) ] )
% 32.65/33.07 , clause( 166, [ =( 'v_Aa', 'v_A' ) ] )
% 32.65/33.07 , 0, clause( 196, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ),
% 32.65/33.07 ~( 'c_in'( 'c_Event_Oevent_OGets'( X, 'c_Message_Omsg_OMPair'( Y,
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( T ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) )
% 32.65/33.07 , 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 32.65/33.07 )
% 32.65/33.07 , 1, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 32.65/33.07 :=( Z, Z ), :=( T, T )] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 resolution(
% 32.65/33.07 clause( 398, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( T ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 , clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 32.65/33.07 )
% 32.65/33.07 , 0, clause( 397, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( T ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 'v_A', 'c_Event_Obad'
% 32.65/33.07 , 'tc_Message_Oagent' ) ] )
% 32.65/33.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 32.65/33.07 Z, Z ), :=( T, T )] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 167, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( T ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 , clause( 398, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( T ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 32.65/33.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 paramod(
% 32.65/33.07 clause( 400, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 32.65/33.07 , clause( 166, [ =( 'v_Aa', 'v_A' ) ] )
% 32.65/33.07 , 0, clause( 4, [ 'c_in'( 'c_Event_Oevent_OGets'(
% 32.65/33.07 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OCrypt'(
% 32.65/33.07 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 32.65/33.07 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 32.65/33.07 ] )
% 32.65/33.07 , 0, 11, substitution( 0, [] ), substitution( 1, [] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 resolution(
% 32.65/33.07 clause( 401, [] )
% 32.65/33.07 , clause( 167, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 32.65/33.07 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z
% 32.65/33.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 32.65/33.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( T ),
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 32.65/33.07 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 32.65/33.07 , 0, clause( 400, [ 'c_in'( 'c_Event_Oevent_OGets'(
% 32.65/33.07 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OCrypt'(
% 32.65/33.07 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 32.65/33.07 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 32.65/33.07 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 32.65/33.07 ] )
% 32.65/33.07 , 0, substitution( 0, [ :=( X, 'c_Message_Oagent_OServer' ), :=( Y,
% 32.65/33.07 'c_Message_Omsg_OAgent'( 'v_Ba' ) ), :=( Z, 'v_Ba' ), :=( T, 'v_NAa' )] )
% 32.65/33.07 , substitution( 1, [] )).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 subsumption(
% 32.65/33.07 clause( 168, [] )
% 32.65/33.07 , clause( 401, [] )
% 32.65/33.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 end.
% 32.65/33.07
% 32.65/33.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 32.65/33.07
% 32.65/33.07 Memory use:
% 32.65/33.07
% 32.65/33.07 space for terms: 13438
% 32.65/33.07 space for clauses: 12304
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 clauses generated: 590
% 32.65/33.07 clauses kept: 169
% 32.65/33.07 clauses selected: 9
% 32.65/33.07 clauses deleted: 1
% 32.65/33.07 clauses inuse deleted: 0
% 32.65/33.07
% 32.65/33.07 subsentry: 2289
% 32.65/33.07 literals s-matched: 331
% 32.65/33.07 literals matched: 331
% 32.65/33.07 full subsumption: 243
% 32.65/33.07
% 32.65/33.07 checksum: 645726738
% 32.65/33.07
% 32.65/33.07
% 32.65/33.07 Bliksem ended
%------------------------------------------------------------------------------