TSTP Solution File: SWV361-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV361-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 16:24:33 EDT 2022
% Result : Unsatisfiable 0.81s 1.22s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV361-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Thu Jun 16 03:11:26 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.81/1.22 *** allocated 10000 integers for termspace/termends
% 0.81/1.22 *** allocated 10000 integers for clauses
% 0.81/1.22 *** allocated 10000 integers for justifications
% 0.81/1.22 Bliksem 1.12
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Automatic Strategy Selection
% 0.81/1.22
% 0.81/1.22 Clauses:
% 0.81/1.22 [
% 0.81/1.22 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T,
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ],
% 0.81/1.22 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.81/1.22 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.81/1.22 'tc_Message_Omsg' ) ],
% 0.81/1.22 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'(
% 0.81/1.22 Y ), 'tc_Message_Omsg' ) ],
% 0.81/1.22 [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'(
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.81/1.22 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.81/1.22 ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ],
% 0.81/1.22 [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ],
% 0.81/1.22 [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.81/1.22 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer',
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.81/1.22 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'(
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ) ]
% 0.81/1.22 ] .
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 percentage equality = 0.055556, percentage horn = 1.000000
% 0.81/1.22 This is a problem with some equality
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Options Used:
% 0.81/1.22
% 0.81/1.22 useres = 1
% 0.81/1.22 useparamod = 1
% 0.81/1.22 useeqrefl = 1
% 0.81/1.22 useeqfact = 1
% 0.81/1.22 usefactor = 1
% 0.81/1.22 usesimpsplitting = 0
% 0.81/1.22 usesimpdemod = 5
% 0.81/1.22 usesimpres = 3
% 0.81/1.22
% 0.81/1.22 resimpinuse = 1000
% 0.81/1.22 resimpclauses = 20000
% 0.81/1.22 substype = eqrewr
% 0.81/1.22 backwardsubs = 1
% 0.81/1.22 selectoldest = 5
% 0.81/1.22
% 0.81/1.22 litorderings [0] = split
% 0.81/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.22
% 0.81/1.22 termordering = kbo
% 0.81/1.22
% 0.81/1.22 litapriori = 0
% 0.81/1.22 termapriori = 1
% 0.81/1.22 litaposteriori = 0
% 0.81/1.22 termaposteriori = 0
% 0.81/1.22 demodaposteriori = 0
% 0.81/1.22 ordereqreflfact = 0
% 0.81/1.22
% 0.81/1.22 litselect = negord
% 0.81/1.22
% 0.81/1.22 maxweight = 15
% 0.81/1.22 maxdepth = 30000
% 0.81/1.22 maxlength = 115
% 0.81/1.22 maxnrvars = 195
% 0.81/1.22 excuselevel = 1
% 0.81/1.22 increasemaxweight = 1
% 0.81/1.22
% 0.81/1.22 maxselected = 10000000
% 0.81/1.22 maxnrclauses = 10000000
% 0.81/1.22
% 0.81/1.22 showgenerated = 0
% 0.81/1.22 showkept = 0
% 0.81/1.22 showselected = 0
% 0.81/1.22 showdeleted = 0
% 0.81/1.22 showresimp = 1
% 0.81/1.22 showstatus = 2000
% 0.81/1.22
% 0.81/1.22 prologoutput = 1
% 0.81/1.22 nrgoals = 5000000
% 0.81/1.22 totalproof = 1
% 0.81/1.22
% 0.81/1.22 Symbols occurring in the translation:
% 0.81/1.22
% 0.81/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.22 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.81/1.22 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 0.81/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.22 'c_Event_Oevent_OSays' [42, 3] (w:1, o:74, a:1, s:1, b:0),
% 0.81/1.22 'tc_Event_Oevent' [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.81/1.22 'c_List_Oset' [45, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.81/1.22 'c_in' [46, 3] (w:1, o:75, a:1, s:1, b:0),
% 0.81/1.22 'c_Message_Oagent_OSpy' [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.81/1.22 'c_Event_Oknows' [48, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.81/1.22 'tc_Message_Omsg' [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.81/1.22 'c_Message_Omsg_OMPair' [51, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.81/1.22 'c_Message_Oparts' [53, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.81/1.22 'c_Message_Oanalz' [54, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.81/1.22 'c_Yahalom_Oyahalom' [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.81/1.22 'tc_List_Olist' [56, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.81/1.22 'c_Event_Oevent_OGets' [57, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.81/1.22 'c_Public_OshrK' [58, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.81/1.22 'c_Message_Omsg_OAgent' [59, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.81/1.22 'c_Message_Omsg_ONonce' [62, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.81/1.22 'c_Message_Omsg_OCrypt' [63, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.81/1.22 'v_evs3' [67, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.81/1.22 'c_Message_Oagent_OServer' [68, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.81/1.22 'v_Ba' [69, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.81/1.22 'v_Aa' [70, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.81/1.22 'v_NB' [71, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.81/1.22 'v_NBa' [72, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.81/1.22 'v_B' [73, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.81/1.22 'v_A' [74, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.81/1.22 'v_NA' [75, 0] (w:1, o:29, a:1, s:1, b:0).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Starting Search:
% 0.81/1.22
% 0.81/1.22 Resimplifying inuse:
% 0.81/1.22 Done
% 0.81/1.22
% 0.81/1.22 Failed to find proof!
% 0.81/1.22 maxweight = 15
% 0.81/1.22 maxnrclauses = 10000000
% 0.81/1.22 Generated: 1623
% 0.81/1.22 Kept: 75
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 The strategy used was not complete!
% 0.81/1.22
% 0.81/1.22 Increased maxweight to 16
% 0.81/1.22
% 0.81/1.22 Starting Search:
% 0.81/1.22
% 0.81/1.22 Resimplifying inuse:
% 0.81/1.22 Done
% 0.81/1.22
% 0.81/1.22 Failed to find proof!
% 0.81/1.22 maxweight = 16
% 0.81/1.22 maxnrclauses = 10000000
% 0.81/1.22 Generated: 2548
% 0.81/1.22 Kept: 97
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 The strategy used was not complete!
% 0.81/1.22
% 0.81/1.22 Increased maxweight to 17
% 0.81/1.22
% 0.81/1.22 Starting Search:
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Bliksems!, er is een bewijs:
% 0.81/1.22 % SZS status Unsatisfiable
% 0.81/1.22 % SZS output start Refutation
% 0.81/1.22
% 0.81/1.22 clause( 0, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.81/1.22 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.81/1.22 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 2, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.81/1.22 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 3, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.81/1.22 'c_Message_Oparts'( X ) ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 4, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.81/1.22 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 5, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 6, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 7, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 8, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.81/1.22 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.81/1.22 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.81/1.22 ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 9, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 12, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg' ) )
% 0.81/1.22 , 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 33, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.81/1.22 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.81/1.22 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 34, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.81/1.22 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), Y, 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 53, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.81/1.22 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 73, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.81/1.22 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 0.81/1.22 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 103, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 118, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.81/1.22 'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_List_Oset'( 'v_evs3',
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oparts'(
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 127, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' )
% 0.81/1.22 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ), 'c_Message_Oparts'(
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 130, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 132, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 .
% 0.81/1.22 clause( 136, [] )
% 0.81/1.22 .
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 % SZS output end Refutation
% 0.81/1.22 found a proof!
% 0.81/1.22
% 0.81/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.22
% 0.81/1.22 initialclauses(
% 0.81/1.22 [ clause( 138, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 0.81/1.22 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 139, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.81/1.22 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.81/1.22 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 140, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.81/1.22 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 141, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.81/1.22 'c_Message_Oparts'( X ) ) ] )
% 0.81/1.22 , clause( 142, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.81/1.22 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 143, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 144, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ] )
% 0.81/1.22 , clause( 145, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer'
% 0.81/1.22 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.81/1.22 , clause( 146, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.81/1.22 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.81/1.22 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.81/1.22 ] )
% 0.81/1.22 , clause( 147, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 ] ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 0, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.81/1.22 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 138, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 0.81/1.22 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.81/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.81/1.22 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 139, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.81/1.22 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.81/1.22 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 2, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.81/1.22 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 140, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.81/1.22 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.22 ), ==>( 1, 1 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 3, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.81/1.22 'c_Message_Oparts'( X ) ) ] )
% 0.81/1.22 , clause( 141, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.81/1.22 'c_Message_Oparts'( X ) ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 4, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.81/1.22 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 142, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.81/1.22 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 5, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 143, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.81/1.22 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.81/1.22 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 6, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ] )
% 0.81/1.22 , clause( 144, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ] )
% 0.81/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 7, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer',
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.81/1.22 , clause( 145, [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer'
% 0.81/1.22 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3',
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.81/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 8, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.81/1.22 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.81/1.22 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.81/1.22 ] )
% 0.81/1.22 , clause( 146, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.81/1.22 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.81/1.22 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.81/1.22 ] )
% 0.81/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 9, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 147, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 paramod(
% 0.81/1.22 clause( 161, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.81/1.22 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 3, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.81/1.22 'c_Message_Oparts'( X ) ) ] )
% 0.81/1.22 , 0, clause( 2, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.81/1.22 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 1, 2, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.81/1.22 :=( Y, 'c_Message_Oanalz'( Y ) )] )).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 12, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg' ) )
% 0.81/1.22 , 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 161, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.81/1.22 ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.81/1.22 ), ==>( 1, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 162, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.81/1.22 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.81/1.22 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.81/1.22 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.81/1.22 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 0, clause( 12, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg'
% 0.81/1.22 ) ), 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.22 substitution( 1, [ :=( X, Z ), :=( Y, 'c_Message_Omsg_OMPair'( X, Y ) )] )
% 0.81/1.22 ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 33, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.81/1.22 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.81/1.22 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 162, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 0.81/1.22 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.81/1.22 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.81/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 163, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.81/1.22 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.81/1.22 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.81/1.22 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 0, clause( 2, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.81/1.22 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.22 substitution( 1, [ :=( X, 'c_Message_Omsg_OMPair'( X, Y ) ), :=( Y, Z )] )
% 0.81/1.22 ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 34, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.81/1.22 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), Y, 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 163, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 0.81/1.22 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.81/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 164, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.81/1.22 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 4, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.81/1.22 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 0, clause( 6, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ] )
% 0.81/1.22 , 0, substitution( 0, [ :=( X, 'v_evs3' ), :=( Y, X ), :=( Z, Y )] ),
% 0.81/1.22 substitution( 1, [] )).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 53, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.81/1.22 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 164, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.81/1.22 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.22 ), ==>( 1, 1 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 165, [ ~( 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 Y ), 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) )
% 0.81/1.22 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 0.81/1.22 ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.81/1.22 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 0.81/1.22 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 9, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , 0, clause( 5, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ),
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_evs3' ), :=( Y, X
% 0.81/1.22 ), :=( Z, Y ), :=( T, Z ), :=( U, 'v_NB' ), :=( W, T ), :=( V0, U ),
% 0.81/1.22 :=( V1, W )] )).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 168, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.81/1.22 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 0.81/1.22 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 165, [ ~( 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 Y ), 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) )
% 0.81/1.22 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 0.81/1.22 ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.81/1.22 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 0.81/1.22 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , 0, clause( 6, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.81/1.22 'tc_Event_Oevent' ) ) ] )
% 0.81/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.81/1.22 :=( U, U ), :=( W, W )] ), substitution( 1, [] )).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 73, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.81/1.22 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 0.81/1.22 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 168, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X )
% 0.81/1.22 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.81/1.22 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 0.81/1.22 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.81/1.22 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 170, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 0, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'(
% 0.81/1.22 T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 0, clause( 8, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B',
% 0.81/1.22 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.81/1.22 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.81/1.22 ] )
% 0.81/1.22 , 0, substitution( 0, [ :=( X, 'v_B' ), :=( Y, 'c_Message_Oagent_OServer' )
% 0.81/1.22 , :=( Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), :=( T, 'v_evs3' )] ),
% 0.81/1.22 substitution( 1, [] )).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 103, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 170, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 'v_B' ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 171, [ 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.81/1.22 'c_Event_Oevent_OGets'( Z, 'c_Message_Omsg_OMPair'( Y, X ) ),
% 0.81/1.22 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.81/1.22 , clause( 33, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.81/1.22 ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.81/1.22 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , 1, clause( 53, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X, Y ), 'c_List_Oset'(
% 0.81/1.22 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Y,
% 0.81/1.22 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ) ), :=( Z, Y )] ), substitution( 1, [
% 0.81/1.22 :=( X, Z ), :=( Y, 'c_Message_Omsg_OMPair'( Y, X ) )] )).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 118, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.81/1.22 'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_List_Oset'( 'v_evs3',
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oparts'(
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 171, [ 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 0.81/1.22 'c_Event_Oevent_OGets'( Z, 'c_Message_Omsg_OMPair'( Y, X ) ),
% 0.81/1.22 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.81/1.22 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 172, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' )
% 0.81/1.22 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ), 'c_Message_Oparts'(
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 118, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.81/1.22 'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_List_Oset'( 'v_evs3',
% 0.81/1.22 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oparts'(
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 0, clause( 7, [ 'c_in'( 'c_Event_Oevent_OGets'(
% 0.81/1.22 'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) )
% 0.81/1.22 ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 0.81/1.22 ] )
% 0.81/1.22 , 0, substitution( 0, [ :=( X, 'c_Message_Oagent_OServer' ), :=( Y,
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_Ba' ) ), :=( Z, 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( 'v_Ba' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) )
% 0.81/1.22 ) )] ), substitution( 1, [] )).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 127, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba' )
% 0.81/1.22 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ), 'c_Message_Oparts'(
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , clause( 172, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Ba'
% 0.81/1.22 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ), 'c_Message_Oparts'(
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 173, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 73, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.81/1.22 U ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), W ) ) )
% 0.81/1.22 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3'
% 0.81/1.22 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , 1, clause( 127, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.81/1.22 'v_Ba' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ), 'c_Message_Oparts'(
% 0.81/1.22 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 'v_Ba' )
% 0.81/1.22 , :=( U, 'v_Aa' ), :=( W, 'c_Message_Omsg_ONonce'( 'v_NBa' ) )] ),
% 0.81/1.22 substitution( 1, [] )).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 130, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 173, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X )
% 0.81/1.22 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 174, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( T,
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( Z,
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 130, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X )
% 0.81/1.22 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ),
% 0.81/1.22 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.81/1.22 ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , 0, clause( 34, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' )
% 0.81/1.22 , ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), Y, 'tc_Message_Omsg' ) ) ]
% 0.81/1.22 )
% 0.81/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.22 substitution( 1, [ :=( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X )
% 0.81/1.22 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ),
% 0.81/1.22 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ),
% 0.81/1.22 :=( Y, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ), :=( Z, T
% 0.81/1.22 )] )).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 132, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , clause( 174, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( T,
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( Z,
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] ),
% 0.81/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 resolution(
% 0.81/1.22 clause( 175, [] )
% 0.81/1.22 , clause( 132, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.81/1.22 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T,
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'c_Event_Oknows'(
% 0.81/1.22 'c_Message_Oagent_OSpy', 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.81/1.22 , 0, clause( 103, [ 'c_in'( 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'(
% 0.81/1.22 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.81/1.22 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.81/1.22 ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ),
% 0.81/1.22 'tc_Message_Omsg' ) ] )
% 0.81/1.22 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OAgent'( 'v_B' ) ), :=( Y,
% 0.81/1.22 'v_B' ), :=( Z, 'v_A' ), :=( T, 'c_Message_Omsg_ONonce'( 'v_NA' ) )] ),
% 0.81/1.22 substitution( 1, [] )).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 subsumption(
% 0.81/1.22 clause( 136, [] )
% 0.81/1.22 , clause( 175, [] )
% 0.81/1.22 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 end.
% 0.81/1.22
% 0.81/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.22
% 0.81/1.22 Memory use:
% 0.81/1.22
% 0.81/1.22 space for terms: 2844
% 0.81/1.22 space for clauses: 8535
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 clauses generated: 3960
% 0.81/1.22 clauses kept: 137
% 0.81/1.22 clauses selected: 134
% 0.81/1.22 clauses deleted: 2
% 0.81/1.22 clauses inuse deleted: 0
% 0.81/1.22
% 0.81/1.22 subsentry: 5652
% 0.81/1.22 literals s-matched: 5622
% 0.81/1.22 literals matched: 5622
% 0.81/1.22 full subsumption: 4
% 0.81/1.22
% 0.81/1.22 checksum: 1483460314
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Bliksem ended
%------------------------------------------------------------------------------