%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV340-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 16:24:16 EDT 2022
% Result : Unsatisfiable 0.75s 1.11s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV340-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.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 : Wed Jun 15 18:02:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.11 *** allocated 10000 integers for termspace/termends
% 0.75/1.11 *** allocated 10000 integers for clauses
% 0.75/1.11 *** allocated 10000 integers for justifications
% 0.75/1.11 Bliksem 1.12
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 Automatic Strategy Selection
% 0.75/1.11
% 0.75/1.11 Clauses:
% 0.75/1.11 [
% 0.75/1.11 [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ],
% 0.75/1.11 [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A', 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.75/1.11 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.75/1.11 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( 'v_evs4' )
% 0.75/1.11 , 'tc_Message_Omsg' ) ) ],
% 0.75/1.11 [ =( 'v_K', 'v_Ka' ) ],
% 0.75/1.11 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 0.75/1.11 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ],
% 0.75/1.11 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ],
% 0.75/1.11 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ],
% 0.75/1.11 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'(
% 0.75/1.11 Y ), 'tc_Message_Omsg' ) ],
% 0.75/1.11 [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'(
% 0.75/1.11 X ) ) ],
% 0.75/1.11 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 0.75/1.11 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 0.75/1.11 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 0.75/1.11 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ]
% 0.75/1.11 ] .
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 percentage equality = 0.111111, percentage horn = 1.000000
% 0.75/1.11 This is a problem with some equality
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 Options Used:
% 0.75/1.11
% 0.75/1.11 useres = 1
% 0.75/1.11 useparamod = 1
% 0.75/1.11 useeqrefl = 1
% 0.75/1.11 useeqfact = 1
% 0.75/1.11 usefactor = 1
% 0.75/1.11 usesimpsplitting = 0
% 0.75/1.11 usesimpdemod = 5
% 0.75/1.11 usesimpres = 3
% 0.75/1.11
% 0.75/1.11 resimpinuse = 1000
% 0.75/1.11 resimpclauses = 20000
% 0.75/1.11 substype = eqrewr
% 0.75/1.11 backwardsubs = 1
% 0.75/1.11 selectoldest = 5
% 0.75/1.11
% 0.75/1.11 litorderings [0] = split
% 0.75/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.11
% 0.75/1.11 termordering = kbo
% 0.75/1.11
% 0.75/1.11 litapriori = 0
% 0.75/1.11 termapriori = 1
% 0.75/1.11 litaposteriori = 0
% 0.75/1.11 termaposteriori = 0
% 0.75/1.11 demodaposteriori = 0
% 0.75/1.11 ordereqreflfact = 0
% 0.75/1.11
% 0.75/1.11 litselect = negord
% 0.75/1.11
% 0.75/1.11 maxweight = 15
% 0.75/1.11 maxdepth = 30000
% 0.75/1.11 maxlength = 115
% 0.75/1.11 maxnrvars = 195
% 0.75/1.11 excuselevel = 1
% 0.75/1.11 increasemaxweight = 1
% 0.75/1.11
% 0.75/1.11 maxselected = 10000000
% 0.75/1.11 maxnrclauses = 10000000
% 0.75/1.11
% 0.75/1.11 showgenerated = 0
% 0.75/1.11 showkept = 0
% 0.75/1.11 showselected = 0
% 0.75/1.11 showdeleted = 0
% 0.75/1.11 showresimp = 1
% 0.75/1.11 showstatus = 2000
% 0.75/1.11
% 0.75/1.11 prologoutput = 1
% 0.75/1.11 nrgoals = 5000000
% 0.75/1.11 totalproof = 1
% 0.75/1.11
% 0.75/1.11 Symbols occurring in the translation:
% 0.75/1.11
% 0.75/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.11 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 0.75/1.11 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.75/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.11 'v_evs4' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.75/1.11 'c_Yahalom_Oyahalom' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.75/1.11 'tc_Event_Oevent' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.75/1.11 'tc_List_Olist' [42, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.75/1.11 'c_in' [43, 3] (w:1, o:71, a:1, s:1, b:0),
% 0.75/1.11 'v_A' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.11 'c_Public_OshrK' [45, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.75/1.11 'v_B' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.11 'c_Message_Omsg_OAgent' [47, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.75/1.11 'v_Ka' [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.75/1.11 'c_Message_Omsg_OKey' [49, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.75/1.11 'v_NA' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.75/1.11 'c_Message_Omsg_ONonce' [51, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.75/1.11 'v_NB' [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.75/1.11 'c_Message_Omsg_OMPair' [53, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.75/1.11 'c_Message_Omsg_OCrypt' [54, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.75/1.11 'v_X' [55, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.75/1.11 'c_Event_Oevent_OGets' [56, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.75/1.11 'c_List_Oset' [57, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.75/1.11 'v_K' [58, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.75/1.11 'c_Event_Oused' [59, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.75/1.11 'tc_Message_Omsg' [60, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.75/1.11 'c_Message_Oagent_OSpy' [62, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.11 'c_Event_Oknows' [64, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.75/1.11 'c_Message_Oparts' [65, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.75/1.11 'c_Message_Oanalz' [70, 1] (w:1, o:40, a:1, s:1, b:0).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 Starting Search:
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 Bliksems!, er is een bewijs:
% 0.75/1.11 % SZS status Unsatisfiable
% 0.75/1.11 % SZS output start Refutation
% 0.75/1.11
% 0.75/1.11 clause( 0, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 1, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A', 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.75/1.11 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.75/1.11 'v_evs4' ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 3, [ =( 'v_K', 'v_Ka' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 4, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.75/1.11 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.75/1.11 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.75/1.11 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 8, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 9, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.75/1.11 'c_Message_Oparts'( X ) ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 10, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.75/1.11 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.75/1.11 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 11, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_Ka' ), 'c_Event_Oused'(
% 0.75/1.11 'v_evs4' ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 13, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg' ) )
% 0.75/1.11 , 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 25, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.75/1.11 ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 54, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'(
% 0.75/1.11 'v_Ka' ), X ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 58, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.75/1.11 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), 'c_Message_Oanalz'( Y ),
% 0.75/1.11 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 62, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ), Y ) ),
% 0.75/1.11 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.75/1.11 ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 122, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.75/1.11 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OKey'( 'v_Ka' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.75/1.11 ) ), 'v_X' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 168, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.75/1.11 X, Y ), Z ), 'c_Message_Oanalz'( T ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.75/1.11 'c_Message_Oparts'( T ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 .
% 0.75/1.11 clause( 512, [] )
% 0.75/1.11 .
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 % SZS output end Refutation
% 0.75/1.11 found a proof!
% 0.75/1.11
% 0.75/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.11
% 0.75/1.11 initialclauses(
% 0.75/1.11 [ clause( 514, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ] )
% 0.75/1.11 , clause( 515, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A',
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.75/1.11 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.75/1.11 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.75/1.11 , clause( 516, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.75/1.11 'v_evs4' ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 517, [ =( 'v_K', 'v_Ka' ) ] )
% 0.75/1.11 , clause( 518, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 519, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 520, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 521, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 522, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 523, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.75/1.11 'c_Message_Oparts'( X ) ) ] )
% 0.75/1.11 , clause( 524, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.75/1.11 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.75/1.11 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 ] ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 0, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ] )
% 0.75/1.11 , clause( 514, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ] )
% 0.75/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 1, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A', 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.75/1.11 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.75/1.11 , clause( 515, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A',
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.75/1.11 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.75/1.11 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.75/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.75/1.11 'v_evs4' ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 516, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.75/1.11 'v_evs4' ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 3, [ =( 'v_K', 'v_Ka' ) ] )
% 0.75/1.11 , clause( 517, [ =( 'v_K', 'v_Ka' ) ] )
% 0.75/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 4, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 518, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.11 ), ==>( 1, 1 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.75/1.11 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 519, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.75/1.11 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 520, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.75/1.11 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 521, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 8, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 522, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.11 ), ==>( 1, 1 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 9, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.75/1.11 'c_Message_Oparts'( X ) ) ] )
% 0.75/1.11 , clause( 523, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.75/1.11 'c_Message_Oparts'( X ) ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 10, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.75/1.11 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.75/1.11 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 524, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.75/1.11 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.75/1.11 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 paramod(
% 0.75/1.11 clause( 536, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_Ka' ), 'c_Event_Oused'(
% 0.75/1.11 'v_evs4' ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 3, [ =( 'v_K', 'v_Ka' ) ] )
% 0.75/1.11 , 0, clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.75/1.11 'c_Event_Oused'( 'v_evs4' ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 11, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_Ka' ), 'c_Event_Oused'(
% 0.75/1.11 'v_evs4' ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 536, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Event_Oused'( 'v_evs4' ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 paramod(
% 0.75/1.11 clause( 538, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.75/1.11 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 9, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 0.75/1.11 'c_Message_Oparts'( X ) ) ] )
% 0.75/1.11 , 0, clause( 8, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 1, 2, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.11 :=( Y, 'c_Message_Oanalz'( Y ) )] )).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 13, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg' ) )
% 0.75/1.11 , 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 538, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.75/1.11 ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.75/1.11 ), ==>( 1, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 resolution(
% 0.75/1.11 clause( 539, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.75/1.11 ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 11, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_Ka' ), 'c_Event_Oused'(
% 0.75/1.11 'v_evs4' ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , 0, clause( 4, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Message_Omsg_OKey'(
% 0.75/1.11 'v_Ka' ) ), :=( Y, 'v_evs4' )] )).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 25, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.75/1.11 ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 539, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.75/1.11 ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 resolution(
% 0.75/1.11 clause( 540, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'(
% 0.75/1.11 'v_Ka' ), X ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 25, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.75/1.11 ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , 0, clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Message_Omsg_OKey'(
% 0.75/1.11 'v_Ka' ) ), :=( Y, X ), :=( Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.75/1.11 , 'v_evs4' ) )] )).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 54, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'(
% 0.75/1.11 'v_Ka' ), X ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 540, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'(
% 0.75/1.11 'v_Ka' ), X ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 resolution(
% 0.75/1.11 clause( 541, [ 'c_in'( X, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.75/1.11 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 0, clause( 13, [ ~( 'c_in'( Y, 'c_Message_Oanalz'( X ), 'tc_Message_Omsg'
% 0.75/1.11 ) ), 'c_in'( Y, 'c_Message_Oparts'( X ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.11 substitution( 1, [ :=( X, Z ), :=( Y, 'c_Message_Omsg_OMPair'( X, Y ) )] )
% 0.75/1.11 ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 58, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.75/1.11 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), 'c_Message_Oanalz'( Y ),
% 0.75/1.11 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 541, [ 'c_in'( X, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 0.75/1.11 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.75/1.11 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.75/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 resolution(
% 0.75/1.11 clause( 542, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( Y,
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ), X ) ),
% 0.75/1.11 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.75/1.11 ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 54, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'(
% 0.75/1.11 'v_Ka' ), X ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , 0, clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.75/1.11 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ), X ) ), :=( Z
% 0.75/1.11 , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) )] )).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 62, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ), Y ) ),
% 0.75/1.11 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.75/1.11 ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 542, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( Y,
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ), X ) ),
% 0.75/1.11 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.75/1.11 ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.11 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 resolution(
% 0.75/1.11 clause( 543, [ ~( 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ), 'c_in'( 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ), 'c_Message_Oanalz'(
% 0.75/1.11 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 10, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 0.75/1.11 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 0.75/1.11 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 1, clause( 1, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_A',
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.75/1.11 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 0.75/1.11 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.75/1.11 , 0, substitution( 0, [ :=( X, 'v_evs4' ), :=( Y, 'v_A' ), :=( Z,
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.75/1.11 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) )] ), substitution( 1
% 0.75/1.11 , [] )).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 resolution(
% 0.75/1.11 clause( 544, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.75/1.11 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OKey'( 'v_Ka' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.75/1.11 ) ), 'v_X' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 543, [ ~( 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ), 'c_in'( 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ), 'c_Message_Oanalz'(
% 0.75/1.11 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 0, clause( 0, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.75/1.11 'tc_Event_Oevent' ) ) ] )
% 0.75/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 122, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.75/1.11 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OKey'( 'v_Ka' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.75/1.11 ) ), 'v_X' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 544, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.75/1.11 'c_Public_OshrK'( 'v_A' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OKey'( 'v_Ka' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.75/1.11 ) ), 'v_X' ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 0.75/1.11 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 resolution(
% 0.75/1.11 clause( 545, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.75/1.11 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( X, Y ), T ),
% 0.75/1.11 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.75/1.11 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 0, clause( 58, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' )
% 0.75/1.11 , ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), 'c_Message_Oanalz'( Y ),
% 0.75/1.11 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.11 substitution( 1, [ :=( X, 'c_Message_Omsg_OCrypt'( X, Y ) ), :=( Y, Z ),
% 0.75/1.11 :=( Z, T )] )).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 168, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'(
% 0.75/1.11 X, Y ), Z ), 'c_Message_Oanalz'( T ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.75/1.11 'c_Message_Oparts'( T ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 545, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 0.75/1.11 ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( X, Y ), T )
% 0.75/1.11 , 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 0.75/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 resolution(
% 0.75/1.11 clause( 546, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 0.75/1.11 'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_Message_Oparts'(
% 0.75/1.11 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , clause( 168, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OCrypt'( X, Y ), Z ), 'c_Message_Oanalz'( T ),
% 0.75/1.11 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( T ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 0, clause( 122, [ 'c_in'( 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ), 'c_Message_Oanalz'(
% 0.75/1.11 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 0.75/1.11 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 0, substitution( 0, [ :=( X, 'c_Public_OshrK'( 'v_A' ) ), :=( Y,
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ),
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), :=( Z, 'v_X' ), :=( T,
% 0.75/1.11 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) )] ),
% 0.75/1.11 substitution( 1, [] )).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 resolution(
% 0.75/1.11 clause( 547, [] )
% 0.75/1.11 , clause( 62, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_Ka' ), Y ) ),
% 0.75/1.11 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 0.75/1.11 ), 'tc_Message_Omsg' ) ) ] )
% 0.75/1.11 , 0, clause( 546, [ 'c_in'( 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_OKey'( 'v_Ka' ), 'c_Message_Omsg_OMPair'(
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 0.75/1.11 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.75/1.11 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 0.75/1.11 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OAgent'( 'v_B' ) ), :=( Y,
% 0.75/1.11 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 0.75/1.11 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )] ), substitution( 1, [] )).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 subsumption(
% 0.75/1.11 clause( 512, [] )
% 0.75/1.11 , clause( 547, [] )
% 0.75/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 end.
% 0.75/1.11
% 0.75/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.11
% 0.75/1.11 Memory use:
% 0.75/1.11
% 0.75/1.11 space for terms: 7891
% 0.75/1.11 space for clauses: 38638
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 clauses generated: 5946
% 0.75/1.11 clauses kept: 513
% 0.75/1.11 clauses selected: 217
% 0.75/1.11 clauses deleted: 4
% 0.75/1.11 clauses inuse deleted: 0
% 0.75/1.11
% 0.75/1.11 subsentry: 6801
% 0.75/1.11 literals s-matched: 6767
% 0.75/1.11 literals matched: 6767
% 0.75/1.11 full subsumption: 0
% 0.75/1.11
% 0.75/1.11 checksum: -1297701407
% 0.75/1.11
% 0.75/1.11
% 0.75/1.11 Bliksem ended
%------------------------------------------------------------------------------