TSTP Solution File: SWV319-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 16:24:00 EDT 2022
% Result : Unsatisfiable 0.70s 1.10s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 20:12:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10 [
% 0.70/1.10 [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B',
% 0.70/1.10 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.70/1.10 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.70/1.10 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.70/1.10 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.70/1.10 [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ],
% 0.70/1.10 [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~( 'c_in'(
% 0.70/1.10 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ), 'c_Message_Oparts'(
% 0.70/1.10 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.70/1.10 'tc_Message_Omsg' ) ) ],
% 0.70/1.10 [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ), 'c_in'( 'v_A', 'c_Event_Obad',
% 0.70/1.10 'tc_Message_Oagent' ) ],
% 0.70/1.10 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T,
% 0.70/1.10 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 0.70/1.10 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ],
% 0.70/1.10 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ],
% 0.70/1.10 [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 0.70/1.10 X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 0.70/1.10 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ]
% 0.70/1.10 ] .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 percentage equality = 0.062500, percentage horn = 0.888889
% 0.70/1.10 This is a problem with some equality
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Options Used:
% 0.70/1.10
% 0.70/1.10 useres = 1
% 0.70/1.10 useparamod = 1
% 0.70/1.10 useeqrefl = 1
% 0.70/1.10 useeqfact = 1
% 0.70/1.10 usefactor = 1
% 0.70/1.10 usesimpsplitting = 0
% 0.70/1.10 usesimpdemod = 5
% 0.70/1.10 usesimpres = 3
% 0.70/1.10
% 0.70/1.10 resimpinuse = 1000
% 0.70/1.10 resimpclauses = 20000
% 0.70/1.10 substype = eqrewr
% 0.70/1.10 backwardsubs = 1
% 0.70/1.10 selectoldest = 5
% 0.70/1.10
% 0.70/1.10 litorderings [0] = split
% 0.70/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.10
% 0.70/1.10 termordering = kbo
% 0.70/1.10
% 0.70/1.10 litapriori = 0
% 0.70/1.10 termapriori = 1
% 0.70/1.10 litaposteriori = 0
% 0.70/1.10 termaposteriori = 0
% 0.70/1.10 demodaposteriori = 0
% 0.70/1.10 ordereqreflfact = 0
% 0.70/1.10
% 0.70/1.10 litselect = negord
% 0.70/1.10
% 0.70/1.10 maxweight = 15
% 0.70/1.10 maxdepth = 30000
% 0.70/1.10 maxlength = 115
% 0.70/1.10 maxnrvars = 195
% 0.70/1.10 excuselevel = 1
% 0.70/1.10 increasemaxweight = 1
% 0.70/1.10
% 0.70/1.10 maxselected = 10000000
% 0.70/1.10 maxnrclauses = 10000000
% 0.70/1.10
% 0.70/1.10 showgenerated = 0
% 0.70/1.10 showkept = 0
% 0.70/1.10 showselected = 0
% 0.70/1.10 showdeleted = 0
% 0.70/1.10 showresimp = 1
% 0.70/1.10 showstatus = 2000
% 0.70/1.10
% 0.70/1.10 prologoutput = 1
% 0.70/1.10 nrgoals = 5000000
% 0.70/1.10 totalproof = 1
% 0.70/1.10
% 0.70/1.10 Symbols occurring in the translation:
% 0.70/1.10
% 0.70/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.10 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 0.70/1.10 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 0.70/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 'c_Message_Oagent_OServer' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.10 'v_B' [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.70/1.10 'v_NA' [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.10 'c_Message_Omsg_ONonce' [42, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.70/1.10 'v_X' [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.10 'c_Public_OshrK' [44, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.70/1.10 'v_NB' [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.70/1.10 'v_K' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.70/1.10 'c_Message_Omsg_OKey' [47, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.70/1.10 'c_Message_Omsg_OMPair' [48, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.70/1.10 'c_Message_Omsg_OCrypt' [49, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.70/1.10 'c_Event_Oevent_OSays' [50, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.70/1.10 'v_evso' [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.70/1.10 'tc_Event_Oevent' [52, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.70/1.10 'c_List_Oset' [53, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.70/1.10 'c_in' [54, 3] (w:1, o:69, a:1, s:1, b:0),
% 0.70/1.10 'v_A' [55, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.70/1.10 'c_Event_Obad' [56, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.70/1.10 'tc_Message_Oagent' [57, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.70/1.10 'c_Message_Oagent_OSpy' [58, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.10 'c_Event_Oknows' [59, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.70/1.10 'c_Message_Oparts' [60, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.70/1.10 'tc_Message_Omsg' [61, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.10 'c_Message_Oanalz' [66, 1] (w:1, o:38, a:1, s:1, b:0).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Starting Search:
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksems!, er is een bewijs:
% 0.70/1.10 % SZS status Unsatisfiable
% 0.70/1.10 % SZS output start Refutation
% 0.70/1.10
% 0.70/1.10 clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.70/1.10 'v_B', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.70/1.10 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.70/1.10 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.70/1.10 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) )
% 0.70/1.10 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.70/1.10 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 3, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.70/1.10 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.70/1.10 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'(
% 0.70/1.10 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.70/1.10 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 7, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ),
% 0.70/1.10 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.70/1.10 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 9, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Oparts'(
% 0.70/1.10 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.70/1.10 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 18, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.70/1.10 'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'(
% 0.70/1.10 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.70/1.10 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.70/1.10 , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.70/1.10 ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 27, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.70/1.10 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.70/1.10 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 28, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'(
% 0.70/1.10 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.70/1.10 , 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 31, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.70/1.10 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.70/1.10 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.70/1.10 ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 39, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.70/1.10 'c_in'( 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, X ) ),
% 0.70/1.10 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 60, [] )
% 0.70/1.10 .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 % SZS output end Refutation
% 0.70/1.10 found a proof!
% 0.70/1.10
% 0.70/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10
% 0.70/1.10 initialclauses(
% 0.70/1.10 [ clause( 62, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.70/1.10 , 'v_B', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.70/1.10 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.70/1.10 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.70/1.10 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.70/1.10 , clause( 63, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.70/1.10 )
% 0.70/1.10 , clause( 64, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~(
% 0.70/1.10 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.70/1.10 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.70/1.10 ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 65, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ), 'c_in'( 'v_A',
% 0.70/1.10 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 0.70/1.10 , clause( 66, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'(
% 0.70/1.10 T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.70/1.10 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 67, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.10 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.10 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 68, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 69, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 0.70/1.10 ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 70, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 ] ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer',
% 0.70/1.10 'v_B', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.70/1.10 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.70/1.10 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.70/1.10 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.70/1.10 , clause( 62, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.70/1.10 , 'v_B', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.70/1.10 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.70/1.10 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.70/1.10 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.70/1.10 , clause( 63, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.70/1.10 )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 71, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) )
% 0.70/1.10 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.70/1.10 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.70/1.10 )
% 0.70/1.10 , 0, clause( 64, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ),
% 0.70/1.10 ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ),
% 0.70/1.10 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.70/1.10 ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) )
% 0.70/1.10 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.70/1.10 ) ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 71, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' )
% 0.70/1.10 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.70/1.10 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 74, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.70/1.10 , clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.70/1.10 )
% 0.70/1.10 , 0, clause( 65, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ), 'c_in'( 'v_A',
% 0.70/1.10 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 0.70/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 3, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.70/1.10 , clause( 74, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.70/1.10 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.70/1.10 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 66, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'(
% 0.70/1.10 T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.70/1.10 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'(
% 0.70/1.10 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 67, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.10 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.10 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.70/1.10 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 68, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 7, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ),
% 0.70/1.10 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 69, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 0.70/1.10 ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.70/1.10 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 70, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 82, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Oparts'(
% 0.70/1.10 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.70/1.10 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 3, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.70/1.10 , 0, clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A'
% 0.70/1.10 ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.70/1.10 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 9, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Oparts'(
% 0.70/1.10 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ),
% 0.70/1.10 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 82, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.70/1.10 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.70/1.10 ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 83, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.70/1.10 'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'(
% 0.70/1.10 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.70/1.10 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.70/1.10 , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.70/1.10 ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'(
% 0.70/1.10 T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.70/1.10 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 0.70/1.10 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , 0, clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'(
% 0.70/1.10 'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'(
% 0.70/1.10 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X',
% 0.70/1.10 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.70/1.10 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso',
% 0.70/1.10 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, 'c_Message_Oagent_OServer' ), :=( Y, 'v_B' )
% 0.70/1.10 , :=( Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.70/1.10 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.70/1.10 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), :=( T, 'v_evso' )] ),
% 0.70/1.10 substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 18, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.70/1.10 'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'(
% 0.70/1.10 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.70/1.10 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.70/1.10 , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.70/1.10 ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 83, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.70/1.10 'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'(
% 0.70/1.10 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.70/1.10 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.70/1.10 , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.70/1.10 ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 84, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.70/1.10 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , 0, clause( 7, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 0.70/1.10 ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 substitution( 1, [ :=( X, 'c_Message_Omsg_OMPair'( X, Y ) ), :=( Y, Z )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 27, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.70/1.10 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.70/1.10 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 84, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 0.70/1.10 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.70/1.10 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 85, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'(
% 0.70/1.10 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.70/1.10 , 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 9, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.70/1.10 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.70/1.10 ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , 0, clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ), :=( Z, 'c_Event_Oknows'(
% 0.70/1.10 'c_Message_Oagent_OSpy', 'v_evso' ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 28, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'(
% 0.70/1.10 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.70/1.10 , 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 85, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.70/1.10 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 86, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y,
% 0.70/1.10 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.70/1.10 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.70/1.10 ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 28, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.70/1.10 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , 0, clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.10 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.70/1.10 , 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), :=( Z,
% 0.70/1.10 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 31, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.70/1.10 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.70/1.10 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.70/1.10 ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 86, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y,
% 0.70/1.10 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.70/1.10 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.70/1.10 ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 87, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.70/1.10 'c_in'( 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( Z, X ) ),
% 0.70/1.10 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 27, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.70/1.10 ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ),
% 0.70/1.10 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , 1, clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.10 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.10 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 substitution( 1, [ :=( X, T ), :=( Y, 'c_Message_Omsg_OMPair'( Z, X ) ),
% 0.70/1.10 :=( Z, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 39, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.70/1.10 'c_in'( 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, X ) ),
% 0.70/1.10 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , clause( 87, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.70/1.10 ~( 'c_in'( 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( Z, X ) )
% 0.70/1.10 , 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 88, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 0.70/1.10 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.70/1.10 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , clause( 39, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.70/1.10 ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, X ) )
% 0.70/1.10 , 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , 1, clause( 18, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'(
% 0.70/1.10 'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'(
% 0.70/1.10 'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.70/1.10 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.70/1.10 , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.70/1.10 ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.70/1.10 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), :=( Y, 'c_Event_Oknows'(
% 0.70/1.10 'c_Message_Oagent_OSpy', 'v_evso' ) ), :=( Z, 'c_Message_Omsg_ONonce'(
% 0.70/1.10 'v_NA' ) ), :=( T, 'v_X' )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 89, [] )
% 0.70/1.10 , clause( 31, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.70/1.10 'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.70/1.10 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.70/1.10 ), 'tc_Message_Omsg' ) ) ] )
% 0.70/1.10 , 0, clause( 88, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B'
% 0.70/1.10 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.70/1.10 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.70/1.10 'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, 'c_Public_OshrK'( 'v_B' ) ), :=( Y,
% 0.70/1.10 'c_Message_Omsg_ONonce'( 'v_NB' ) )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 60, [] )
% 0.70/1.10 , clause( 89, [] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 end.
% 0.70/1.10
% 0.70/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10
% 0.70/1.10 Memory use:
% 0.70/1.10
% 0.70/1.10 space for terms: 1113
% 0.70/1.10 space for clauses: 5373
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 clauses generated: 112
% 0.70/1.10 clauses kept: 61
% 0.70/1.10 clauses selected: 30
% 0.70/1.10 clauses deleted: 1
% 0.70/1.10 clauses inuse deleted: 0
% 0.70/1.10
% 0.70/1.10 subsentry: 93
% 0.70/1.10 literals s-matched: 72
% 0.70/1.10 literals matched: 72
% 0.70/1.10 full subsumption: 0
% 0.70/1.10
% 0.70/1.10 checksum: 914747037
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksem ended
%------------------------------------------------------------------------------