TSTP Solution File: SWV318-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV318-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:23:59 EDT 2022
% Result : Unsatisfiable 0.68s 1.09s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV318-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 04:34:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.68/1.08 *** allocated 10000 integers for termspace/termends
% 0.68/1.08 *** allocated 10000 integers for clauses
% 0.68/1.08 *** allocated 10000 integers for justifications
% 0.68/1.08 Bliksem 1.12
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Automatic Strategy Selection
% 0.68/1.08
% 0.68/1.08 Clauses:
% 0.68/1.08 [
% 0.68/1.08 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T,
% 0.68/1.08 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 0.68/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 0.68/1.08 ,
% 0.68/1.08 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.68/1.08 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.68/1.08 'tc_Message_Omsg' ) ],
% 0.68/1.08 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.68/1.08 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.68/1.08 'tc_Message_Omsg' ) ],
% 0.68/1.08 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'(
% 0.68/1.08 Y ), 'tc_Message_Omsg' ) ],
% 0.68/1.08 [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'(
% 0.68/1.08 X ) ) ],
% 0.68/1.08 [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ), =(
% 0.68/1.08 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 0.68/1.08 'c_Message_Oparts'( Y ) ) ],
% 0.68/1.08 [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.68/1.08 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 0.68/1.08 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.68/1.08 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.68/1.08 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.68/1.08 [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'(
% 0.68/1.08 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'(
% 0.68/1.08 'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ],
% 0.68/1.08 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.68/1.08 [ 'c_in'( 'v_evs4', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.08 'tc_Event_Oevent' ) ) ],
% 0.68/1.08 [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B', 'c_Message_Omsg_OMPair'(
% 0.68/1.08 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X',
% 0.68/1.08 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.68/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.68/1.08 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.68/1.08 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.68/1.08 [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~( 'c_in'(
% 0.68/1.08 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ), 'c_Message_Oparts'(
% 0.68/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.08 'tc_Message_Omsg' ) ) ],
% 0.68/1.08 [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( 'c_in'(
% 0.68/1.08 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ), 'c_Message_Oparts'(
% 0.68/1.08 'c_insert'( 'v_X', 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.08 , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 0.68/1.08 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.08 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.08 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.08 'tc_Message_Omsg' ), 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' )
% 0.68/1.08 ]
% 0.68/1.08 ] .
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 percentage equality = 0.076923, percentage horn = 0.928571
% 0.68/1.08 This is a problem with some equality
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Options Used:
% 0.68/1.08
% 0.68/1.08 useres = 1
% 0.68/1.08 useparamod = 1
% 0.68/1.08 useeqrefl = 1
% 0.68/1.08 useeqfact = 1
% 0.68/1.08 usefactor = 1
% 0.68/1.08 usesimpsplitting = 0
% 0.68/1.08 usesimpdemod = 5
% 0.68/1.08 usesimpres = 3
% 0.68/1.08
% 0.68/1.08 resimpinuse = 1000
% 0.68/1.08 resimpclauses = 20000
% 0.68/1.08 substype = eqrewr
% 0.68/1.08 backwardsubs = 1
% 0.68/1.08 selectoldest = 5
% 0.68/1.08
% 0.68/1.08 litorderings [0] = split
% 0.68/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.68/1.08
% 0.68/1.08 termordering = kbo
% 0.68/1.08
% 0.68/1.08 litapriori = 0
% 0.68/1.08 termapriori = 1
% 0.68/1.08 litaposteriori = 0
% 0.68/1.08 termaposteriori = 0
% 0.68/1.08 demodaposteriori = 0
% 0.68/1.08 ordereqreflfact = 0
% 0.68/1.08
% 0.68/1.08 litselect = negord
% 0.68/1.08
% 0.68/1.08 maxweight = 15
% 0.68/1.08 maxdepth = 30000
% 0.68/1.08 maxlength = 115
% 0.68/1.08 maxnrvars = 195
% 0.68/1.08 excuselevel = 1
% 0.68/1.08 increasemaxweight = 1
% 0.68/1.08
% 0.68/1.08 maxselected = 10000000
% 0.68/1.08 maxnrclauses = 10000000
% 0.68/1.08
% 0.68/1.08 showgenerated = 0
% 0.68/1.08 showkept = 0
% 0.68/1.08 showselected = 0
% 0.68/1.08 showdeleted = 0
% 0.68/1.08 showresimp = 1
% 0.68/1.08 showstatus = 2000
% 0.68/1.08
% 0.68/1.08 prologoutput = 1
% 0.68/1.08 nrgoals = 5000000
% 0.68/1.08 totalproof = 1
% 0.68/1.08
% 0.68/1.08 Symbols occurring in the translation:
% 0.68/1.08
% 0.68/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.09 . [1, 2] (w:1, o:42, a:1, s:1, b:0),
% 0.68/1.09 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 0.68/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 'c_Event_Oevent_OSays' [42, 3] (w:1, o:72, a:1, s:1, b:0),
% 0.68/1.09 'tc_Event_Oevent' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.68/1.09 'c_List_Oset' [45, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.68/1.09 'c_in' [46, 3] (w:1, o:73, a:1, s:1, b:0),
% 0.68/1.09 'c_Message_Oagent_OSpy' [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.68/1.09 'c_Event_Oknows' [48, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.68/1.09 'c_Message_Oanalz' [49, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.68/1.09 'tc_Message_Omsg' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.68/1.09 'c_Message_Omsg_OMPair' [52, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.68/1.09 'c_Message_Oparts' [54, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.68/1.09 'c_insert' [55, 3] (w:1, o:74, a:1, s:1, b:0),
% 0.68/1.09 'c_OtwayRees_Ootway' [56, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.68/1.09 'tc_List_Olist' [57, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.68/1.09 'c_Event_Oevent_OGets' [58, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.68/1.09 'v_sko__usf' [59, 3] (w:1, o:75, a:1, s:1, b:0),
% 0.68/1.09 'c_Event_Obad' [60, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.68/1.09 'tc_Message_Oagent' [61, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.68/1.09 'c_Public_OshrK' [62, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.68/1.09 'c_Message_Omsg_OKey' [63, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.68/1.09 'v_evs4' [67, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.68/1.09 'v_B' [68, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.68/1.09 'v_NA' [69, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.68/1.09 'c_Message_Omsg_ONonce' [70, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.68/1.09 'v_X' [71, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.68/1.09 'v_NB' [72, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.68/1.09 'v_K' [73, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.68/1.09 'c_Message_Omsg_OCrypt' [74, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.68/1.09 'v_A' [75, 0] (w:1, o:25, a:1, s:1, b:0).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Starting Search:
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksems!, er is een bewijs:
% 0.68/1.09 % SZS status Unsatisfiable
% 0.68/1.09 % SZS output start Refutation
% 0.68/1.09
% 0.68/1.09 clause( 0, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.68/1.09 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.68/1.09 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.68/1.09 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.68/1.09 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 3, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.68/1.09 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 4, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.68/1.09 'c_Message_Oparts'( X ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 5, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 =( 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 0.68/1.09 'c_Message_Oparts'( Y ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 6, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.68/1.09 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.68/1.09 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.68/1.09 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 7, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'(
% 0.68/1.09 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 8, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z )
% 0.68/1.09 ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 9, [ 'c_in'( 'v_evs4', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 10, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B',
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.68/1.09 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.68/1.09 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.68/1.09 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 11, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~(
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 12, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 13, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ), 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' )
% 0.68/1.09 ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 15, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg' ) )
% 0.68/1.09 , 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 42, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 141, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_insert'( Y,
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 186, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.68/1.09 )
% 0.68/1.09 .
% 0.68/1.09 clause( 188, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' )
% 0.68/1.09 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 206, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 237, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 248, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 267, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', Y ) ), 'c_Message_Oanalz'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 319, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y,
% 0.68/1.09 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( 'v_X', T ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 337, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( 'v_X', Z ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 338, [] )
% 0.68/1.09 .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 % SZS output end Refutation
% 0.68/1.09 found a proof!
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 initialclauses(
% 0.68/1.09 [ clause( 340, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 0.68/1.09 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.68/1.09 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 341, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 342, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 343, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.68/1.09 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 344, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.68/1.09 'c_Message_Oparts'( X ) ) ] )
% 0.68/1.09 , clause( 345, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' )
% 0.68/1.09 ), =( 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 0.68/1.09 'c_Message_Oparts'( Y ) ) ] )
% 0.68/1.09 , clause( 346, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.68/1.09 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.68/1.09 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.68/1.09 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.68/1.09 , clause( 347, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 348, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ),
% 0.68/1.09 Z ) ] )
% 0.68/1.09 , clause( 349, [ 'c_in'( 'v_evs4', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , clause( 350, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B',
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.68/1.09 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.68/1.09 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.68/1.09 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.68/1.09 , clause( 351, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~(
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 352, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 0.68/1.09 , ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 353, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) )
% 0.68/1.09 , 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ), 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' )
% 0.68/1.09 ] )
% 0.68/1.09 ] ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 0, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.68/1.09 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.68/1.09 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 340, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 0.68/1.09 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.68/1.09 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.68/1.09 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 341, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.68/1.09 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 342, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 3, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.68/1.09 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 343, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.68/1.09 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 ), ==>( 1, 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 4, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.68/1.09 'c_Message_Oparts'( X ) ) ] )
% 0.68/1.09 , clause( 344, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.68/1.09 'c_Message_Oparts'( X ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 5, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 =( 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 0.68/1.09 'c_Message_Oparts'( Y ) ) ] )
% 0.68/1.09 , clause( 345, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' )
% 0.68/1.09 ), =( 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 0.68/1.09 'c_Message_Oparts'( Y ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 ), ==>( 1, 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 6, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.68/1.09 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.68/1.09 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.68/1.09 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.68/1.09 , clause( 346, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.68/1.09 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.68/1.09 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.68/1.09 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 7, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'(
% 0.68/1.09 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 347, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 ), ==>( 1, 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 8, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z )
% 0.68/1.09 ] )
% 0.68/1.09 , clause( 348, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ),
% 0.68/1.09 Z ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 9, [ 'c_in'( 'v_evs4', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , clause( 349, [ 'c_in'( 'v_evs4', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 10, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B',
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.68/1.09 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.68/1.09 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.68/1.09 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.68/1.09 , clause( 350, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B',
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.68/1.09 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.68/1.09 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.68/1.09 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 11, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~(
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 351, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~(
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 12, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 352, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 0.68/1.09 , ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 13, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ), 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' )
% 0.68/1.09 ] )
% 0.68/1.09 , clause( 353, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) )
% 0.68/1.09 , 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ), 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' )
% 0.68/1.09 ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 374, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.68/1.09 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 4, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.68/1.09 'c_Message_Oparts'( X ) ) ] )
% 0.68/1.09 , 0, clause( 3, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.68/1.09 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , 1, 2, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.68/1.09 :=( Y, 'c_Message_Oanalz'( Y ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 15, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg' ) )
% 0.68/1.09 , 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 374, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.68/1.09 ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.68/1.09 ), ==>( 1, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 375, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , 0, clause( 15, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg'
% 0.68/1.09 ) ), 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 substitution( 1, [ :=( X, Z ), :=( Y, 'c_Message_Omsg_OMPair'( X, Y ) )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 42, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 375, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 0.68/1.09 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 376, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 0.68/1.09 'c_insert'( Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ),
% 0.68/1.09 'tc_Message_Omsg' ), 'tc_Message_Omsg' ), ~( 'c_in'( X, 'c_Event_Obad',
% 0.68/1.09 'tc_Message_Oagent' ) ) ] )
% 0.68/1.09 , clause( 8, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z
% 0.68/1.09 ) ] )
% 0.68/1.09 , 0, clause( 7, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , 1, substitution( 0, [ :=( X, 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X )
% 0.68/1.09 ) ), :=( Y, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), :=( Z,
% 0.68/1.09 'tc_Message_Omsg' ), :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.68/1.09 , Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 141, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_insert'( Y,
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 376, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 0.68/1.09 'c_insert'( Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ),
% 0.68/1.09 'tc_Message_Omsg' ), 'tc_Message_Omsg' ), ~( 'c_in'( X, 'c_Event_Obad',
% 0.68/1.09 'tc_Message_Oagent' ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 377, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ), 'c_insert'(
% 0.68/1.09 'v_X', 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ),
% 0.68/1.09 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 12, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 1, clause( 3, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.68/1.09 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Message_Omsg_OKey'(
% 0.68/1.09 'c_Public_OshrK'( 'v_A' ) ) ), :=( Y, 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 378, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.68/1.09 , clause( 377, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 0.68/1.09 , ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_insert'( 'v_X', 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 , 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 1, clause( 141, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 0.68/1.09 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_insert'( Y,
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_A' ), :=( Y, 'v_X'
% 0.68/1.09 ), :=( Z, 'v_evs4' )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 factor(
% 0.68/1.09 clause( 379, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 378, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 0.68/1.09 , ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.68/1.09 , 0, 1, substitution( 0, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 186, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 379, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 0.68/1.09 ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 381, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' )
% 0.68/1.09 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_A', 'c_Event_Obad',
% 0.68/1.09 'tc_Message_Oagent' ) ) ] )
% 0.68/1.09 , clause( 5, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) )
% 0.68/1.09 , =( 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 0.68/1.09 'c_Message_Oparts'( Y ) ) ] )
% 0.68/1.09 , 1, clause( 12, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' )
% 0.68/1.09 ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 1, 5, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ) )] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 382, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' )
% 0.68/1.09 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'(
% 0.68/1.09 'v_A' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.68/1.09 , 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 381, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A'
% 0.68/1.09 ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_A', 'c_Event_Obad',
% 0.68/1.09 'tc_Message_Oagent' ) ) ] )
% 0.68/1.09 , 2, clause( 11, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ),
% 0.68/1.09 ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 factor(
% 0.68/1.09 clause( 383, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' )
% 0.68/1.09 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 382, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A'
% 0.68/1.09 ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'(
% 0.68/1.09 'v_A' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.68/1.09 , 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 0, 2, substitution( 0, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 188, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' )
% 0.68/1.09 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 383, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A'
% 0.68/1.09 ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 384, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 186, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 0.68/1.09 ] )
% 0.68/1.09 , 0, clause( 13, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' )
% 0.68/1.09 ), 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ), 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' )
% 0.68/1.09 ] )
% 0.68/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 206, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , clause( 384, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) )
% 0.68/1.09 , 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 386, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 5, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) )
% 0.68/1.09 , =( 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 0.68/1.09 'c_Message_Oparts'( Y ) ) ] )
% 0.68/1.09 , 1, clause( 206, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A'
% 0.68/1.09 ) ), 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ), 'tc_Message_Omsg' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , 0, 4, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ) )] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 387, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'(
% 0.68/1.09 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 188, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A'
% 0.68/1.09 ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 0, clause( 386, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A'
% 0.68/1.09 ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ), ~( 'c_in'( 'v_X', 'c_Message_Oparts'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 factor(
% 0.68/1.09 clause( 388, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 387, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'(
% 0.68/1.09 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.68/1.09 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 0, 1, substitution( 0, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 237, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 388, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 389, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 237, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 0, clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.68/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y, X ),
% 0.68/1.09 :=( Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 248, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 389, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 390, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( Y,
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', X ) ), 'c_Message_Oanalz'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 248, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.68/1.09 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.68/1.09 ), 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 0, clause( 42, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' )
% 0.68/1.09 , ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', X ) ), :=( Y, 'c_Event_Oknows'(
% 0.68/1.09 'c_Message_Oagent_OSpy', 'v_evs4' ) ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 267, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', Y ) ), 'c_Message_Oanalz'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , clause( 390, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( Y,
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', X ) ), 'c_Message_Oanalz'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 391, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( Z, T,
% 0.68/1.09 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( 'v_X', Y ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , clause( 267, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', Y ) ), 'c_Message_Oanalz'(
% 0.68/1.09 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ) ] )
% 0.68/1.09 , 0, clause( 0, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 0.68/1.09 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.68/1.09 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.68/1.09 'tc_Message_Omsg' ) ] )
% 0.68/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.68/1.09 , Z ), :=( Y, T ), :=( Z, 'c_Message_Omsg_OMPair'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', Y ) ) ), :=( T, 'v_evs4' )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 319, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y,
% 0.68/1.09 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( 'v_X', T ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , clause( 391, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( Z, T,
% 0.68/1.09 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OMPair'( 'v_X', Y ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 392, [ ~( 'c_in'( 'v_evs4', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( 'v_X', Z ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , clause( 319, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y,
% 0.68/1.09 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( 'v_X', T ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , 0, clause( 6, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.68/1.09 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 0.68/1.09 'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 0.68/1.09 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.68/1.09 , 2, substitution( 0, [ :=( X, 'v_sko__usf'( X, 'c_Message_Omsg_OMPair'( Y
% 0.68/1.09 , 'c_Message_Omsg_OMPair'( 'v_X', Z ) ), 'v_evs4' ) ), :=( Y, X ), :=( Z
% 0.68/1.09 , Y ), :=( T, Z )] ), substitution( 1, [ :=( X, 'v_evs4' ), :=( Y, X ),
% 0.68/1.09 :=( Z, 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( 'v_X', Z ) )
% 0.68/1.09 )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 393, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( 'v_X', Z ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , clause( 392, [ ~( 'c_in'( 'v_evs4', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( 'v_X', Z ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , 0, clause( 9, [ 'c_in'( 'v_evs4', 'c_OtwayRees_Ootway', 'tc_List_Olist'(
% 0.68/1.09 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 337, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( 'v_X', Z ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , clause( 393, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( 'v_X', Z ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 394, [] )
% 0.68/1.09 , clause( 337, [ ~( 'c_in'( 'c_Event_Oevent_OGets'( X,
% 0.68/1.09 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OMPair'( 'v_X', Z ) ) ),
% 0.68/1.09 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 0.68/1.09 , 0, clause( 10, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_B',
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.68/1.09 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.68/1.09 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 0.68/1.09 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, 'v_B' ), :=( Y, 'c_Message_Omsg_ONonce'(
% 0.68/1.09 'v_NA' ) ), :=( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.68/1.09 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.68/1.09 'c_Message_Omsg_OKey'( 'v_K' ) ) ) )] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 338, [] )
% 0.68/1.09 , clause( 394, [] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 end.
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 Memory use:
% 0.68/1.09
% 0.68/1.09 space for terms: 5361
% 0.68/1.09 space for clauses: 23922
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 clauses generated: 1623
% 0.68/1.09 clauses kept: 339
% 0.68/1.09 clauses selected: 127
% 0.68/1.09 clauses deleted: 2
% 0.68/1.09 clauses inuse deleted: 0
% 0.68/1.09
% 0.68/1.09 subsentry: 2725
% 0.68/1.09 literals s-matched: 2662
% 0.68/1.09 literals matched: 2662
% 0.68/1.09 full subsumption: 6
% 0.68/1.09
% 0.68/1.09 checksum: -760366330
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksem ended
%------------------------------------------------------------------------------