%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV306-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 16:23:50 EDT 2022
% Result : Unsatisfiable 0.45s 1.08s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV306-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n029.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 00:58:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.08 *** allocated 10000 integers for termspace/termends
% 0.45/1.08 *** allocated 10000 integers for clauses
% 0.45/1.08 *** allocated 10000 integers for justifications
% 0.45/1.08 Bliksem 1.12
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Automatic Strategy Selection
% 0.45/1.08
% 0.45/1.08 Clauses:
% 0.45/1.08 [
% 0.45/1.08 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Event_Oused'(
% 0.45/1.08 'v_evs1' ), 'tc_Message_Omsg' ) ) ],
% 0.45/1.08 [ =( 'v_NA', 'c_Message_Omsg_ONonce'( 'v_NAa' ) ) ],
% 0.45/1.08 [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA_H', 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_A_H' ), 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) )
% 0.45/1.08 ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.45/1.08 'v_evs1' ) ), 'tc_Message_Omsg' ) ],
% 0.45/1.08 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.08 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 0.45/1.08 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ],
% 0.45/1.08 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ],
% 0.45/1.08 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ]
% 0.45/1.08 ] .
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 percentage equality = 0.090909, percentage horn = 1.000000
% 0.45/1.08 This is a problem with some equality
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Options Used:
% 0.45/1.08
% 0.45/1.08 useres = 1
% 0.45/1.08 useparamod = 1
% 0.45/1.08 useeqrefl = 1
% 0.45/1.08 useeqfact = 1
% 0.45/1.08 usefactor = 1
% 0.45/1.08 usesimpsplitting = 0
% 0.45/1.08 usesimpdemod = 5
% 0.45/1.08 usesimpres = 3
% 0.45/1.08
% 0.45/1.08 resimpinuse = 1000
% 0.45/1.08 resimpclauses = 20000
% 0.45/1.08 substype = eqrewr
% 0.45/1.08 backwardsubs = 1
% 0.45/1.08 selectoldest = 5
% 0.45/1.08
% 0.45/1.08 litorderings [0] = split
% 0.45/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.08
% 0.45/1.08 termordering = kbo
% 0.45/1.08
% 0.45/1.08 litapriori = 0
% 0.45/1.08 termapriori = 1
% 0.45/1.08 litaposteriori = 0
% 0.45/1.08 termaposteriori = 0
% 0.45/1.08 demodaposteriori = 0
% 0.45/1.08 ordereqreflfact = 0
% 0.45/1.08
% 0.45/1.08 litselect = negord
% 0.45/1.08
% 0.45/1.08 maxweight = 15
% 0.45/1.08 maxdepth = 30000
% 0.45/1.08 maxlength = 115
% 0.45/1.08 maxnrvars = 195
% 0.45/1.08 excuselevel = 1
% 0.45/1.08 increasemaxweight = 1
% 0.45/1.08
% 0.45/1.08 maxselected = 10000000
% 0.45/1.08 maxnrclauses = 10000000
% 0.45/1.08
% 0.45/1.08 showgenerated = 0
% 0.45/1.08 showkept = 0
% 0.45/1.08 showselected = 0
% 0.45/1.08 showdeleted = 0
% 0.45/1.08 showresimp = 1
% 0.45/1.08 showstatus = 2000
% 0.45/1.08
% 0.45/1.08 prologoutput = 1
% 0.45/1.08 nrgoals = 5000000
% 0.45/1.08 totalproof = 1
% 0.45/1.08
% 0.45/1.08 Symbols occurring in the translation:
% 0.45/1.08
% 0.45/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.08 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.45/1.08 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.45/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.08 'v_NAa' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.45/1.08 'c_Message_Omsg_ONonce' [40, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.45/1.08 'v_evs1' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.45/1.08 'c_Event_Oused' [42, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.45/1.08 'tc_Message_Omsg' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.45/1.08 'c_in' [44, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.45/1.08 'v_NA' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.45/1.08 'v_Aa' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.45/1.08 'c_Public_OshrK' [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.45/1.08 'v_NA_H' [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.45/1.08 'v_A_H' [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.45/1.08 'c_Message_Omsg_OAgent' [50, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.45/1.08 'c_Message_Omsg_OMPair' [51, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.45/1.08 'c_Message_Omsg_OCrypt' [52, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.45/1.08 'c_Message_Oagent_OSpy' [53, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.45/1.08 'c_Event_Oknows' [54, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.45/1.08 'c_Message_Oparts' [55, 1] (w:1, o:32, a:1, s:1, b:0).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Starting Search:
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Bliksems!, er is een bewijs:
% 0.45/1.08 % SZS status Unsatisfiable
% 0.45/1.08 % SZS output start Refutation
% 0.45/1.08
% 0.45/1.08 clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Event_Oused'(
% 0.45/1.08 'v_evs1' ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 1, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 2, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA_H', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A_H' ),
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) ) ) ), 'c_Message_Oparts'(
% 0.45/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.08 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.45/1.08 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.45/1.08 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.45/1.08 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 7, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs1' ),
% 0.45/1.08 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 12, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA_H',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_A_H' ), 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) )
% 0.45/1.08 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.45/1.08 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 21, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 23, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.45/1.08 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.45/1.08 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 31, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA', Y ) ), 'c_Message_Oparts'(
% 0.45/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.45/1.08 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 106, [] )
% 0.45/1.08 .
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 % SZS output end Refutation
% 0.45/1.08 found a proof!
% 0.45/1.08
% 0.45/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.08
% 0.45/1.08 initialclauses(
% 0.45/1.08 [ clause( 108, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.45/1.08 'c_Event_Oused'( 'v_evs1' ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , clause( 109, [ =( 'v_NA', 'c_Message_Omsg_ONonce'( 'v_NAa' ) ) ] )
% 0.45/1.08 , clause( 110, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa'
% 0.45/1.08 ), 'c_Message_Omsg_OMPair'( 'v_NA_H', 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_A_H' ), 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) )
% 0.45/1.08 ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.45/1.08 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 111, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.08 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 112, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 113, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 114, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 ] ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Event_Oused'(
% 0.45/1.08 'v_evs1' ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , clause( 108, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.45/1.08 'c_Event_Oused'( 'v_evs1' ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 115, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.45/1.08 , clause( 109, [ =( 'v_NA', 'c_Message_Omsg_ONonce'( 'v_NAa' ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 1, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.45/1.08 , clause( 115, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 123, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' )
% 0.45/1.08 , 'c_Message_Omsg_OMPair'( 'v_NA_H', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A_H' ),
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) ) ) ), 'c_Message_Oparts'(
% 0.45/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 1, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.45/1.08 , 0, clause( 110, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.45/1.08 'v_Aa' ), 'c_Message_Omsg_OMPair'( 'v_NA_H', 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_A_H' ), 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) )
% 0.45/1.08 ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.45/1.08 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , 0, 7, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 2, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA_H', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A_H' ),
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) ) ) ), 'c_Message_Oparts'(
% 0.45/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 123, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa'
% 0.45/1.08 ), 'c_Message_Omsg_OMPair'( 'v_NA_H', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A_H' ),
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) ) ) ), 'c_Message_Oparts'(
% 0.45/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.08 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 111, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.08 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.08 ), ==>( 1, 1 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.45/1.08 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 112, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.45/1.08 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 113, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.45/1.08 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 114, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 129, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs1' ),
% 0.45/1.08 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , clause( 1, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.45/1.08 , 0, clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.45/1.08 'c_Event_Oused'( 'v_evs1' ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 7, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs1' ),
% 0.45/1.08 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , clause( 129, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs1' ),
% 0.45/1.08 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 130, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA_H',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_A_H' ), 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) )
% 0.45/1.08 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.45/1.08 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 6, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , 0, clause( 2, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa'
% 0.45/1.08 ), 'c_Message_Omsg_OMPair'( 'v_NA_H', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A_H' ),
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) ) ) ), 'c_Message_Oparts'(
% 0.45/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.45/1.08 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, 'c_Public_OshrK'( 'v_Aa' ) ), :=( Y,
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA_H', 'c_Message_Omsg_OMPair'( 'v_NA',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A_H' ),
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) ) ) ), :=( Z, 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', 'v_evs1' ) )] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 12, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA_H',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_A_H' ), 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) )
% 0.45/1.08 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.45/1.08 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , clause( 130, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA_H',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_A_H' ), 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) )
% 0.45/1.08 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.45/1.08 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 131, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , clause( 7, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs1' ),
% 0.45/1.08 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , 0, clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.08 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_NA' ), :=( Y,
% 0.45/1.08 'v_evs1' )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 21, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , clause( 131, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 132, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.45/1.08 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.45/1.08 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , clause( 21, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , 0, clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_NA' ), :=( Y, X )
% 0.45/1.08 , :=( Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 23, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.45/1.08 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.45/1.08 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , clause( 132, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.45/1.08 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.45/1.08 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 133, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( Y,
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA', X ) ), 'c_Message_Oparts'(
% 0.45/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.45/1.08 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , clause( 23, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.45/1.08 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.45/1.08 ), 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , 0, clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.45/1.08 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.45/1.08 , 'c_Message_Omsg_OMPair'( 'v_NA', X ) ), :=( Z, 'c_Event_Oknows'(
% 0.45/1.08 'c_Message_Oagent_OSpy', 'v_evs1' ) )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 31, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA', Y ) ), 'c_Message_Oparts'(
% 0.45/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.45/1.08 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , clause( 133, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( Y,
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA', X ) ), 'c_Message_Oparts'(
% 0.45/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.45/1.08 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.08 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 134, [] )
% 0.45/1.08 , clause( 31, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X,
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA', Y ) ), 'c_Message_Oparts'(
% 0.45/1.08 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.45/1.08 'tc_Message_Omsg' ) ) ] )
% 0.45/1.08 , 0, clause( 12, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA_H',
% 0.45/1.08 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_A_H' ), 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) )
% 0.45/1.08 ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.45/1.08 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, 'v_NA_H' ), :=( Y, 'c_Message_Omsg_OMPair'(
% 0.45/1.08 'c_Message_Omsg_OAgent'( 'v_A_H' ), 'c_Message_Omsg_OAgent'( 'v_Aa' ) ) )] )
% 0.45/1.08 , substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 106, [] )
% 0.45/1.08 , clause( 134, [] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 end.
% 0.45/1.08
% 0.45/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.08
% 0.45/1.08 Memory use:
% 0.45/1.08
% 0.45/1.08 space for terms: 1713
% 0.45/1.08 space for clauses: 10738
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 clauses generated: 191
% 0.45/1.08 clauses kept: 107
% 0.45/1.08 clauses selected: 29
% 0.45/1.08 clauses deleted: 2
% 0.45/1.08 clauses inuse deleted: 0
% 0.45/1.08
% 0.45/1.08 subsentry: 106
% 0.45/1.08 literals s-matched: 81
% 0.45/1.08 literals matched: 81
% 0.45/1.08 full subsumption: 0
% 0.45/1.08
% 0.45/1.08 checksum: 675265523
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Bliksem ended
%------------------------------------------------------------------------------