%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV307-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 16:23:51 EDT 2022
% Result : Unsatisfiable 0.50s 1.15s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV307-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15 % Command : bliksem %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Wed Jun 15 16:21:15 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.50/1.15 *** allocated 10000 integers for termspace/termends
% 0.50/1.15 *** allocated 10000 integers for clauses
% 0.50/1.15 *** allocated 10000 integers for justifications
% 0.50/1.15 Bliksem 1.12
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 Automatic Strategy Selection
% 0.50/1.15
% 0.50/1.15 Clauses:
% 0.50/1.15 [
% 0.50/1.15 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Event_Oused'(
% 0.50/1.15 'v_evs2' ), 'tc_Message_Omsg' ) ) ],
% 0.50/1.15 [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.50/1.15 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.15 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.15 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2'
% 0.50/1.15 ) ), 'tc_Message_Omsg' ) ],
% 0.50/1.15 [ =( 'v_NA', 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ],
% 0.50/1.15 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.15 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 0.50/1.15 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.50/1.15 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.50/1.15 'tc_Message_Omsg' ) ],
% 0.50/1.15 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.50/1.15 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.50/1.15 'tc_Message_Omsg' ) ]
% 0.50/1.15 ] .
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 percentage equality = 0.111111, percentage horn = 1.000000
% 0.50/1.15 This is a problem with some equality
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 Options Used:
% 0.50/1.15
% 0.50/1.15 useres = 1
% 0.50/1.15 useparamod = 1
% 0.50/1.15 useeqrefl = 1
% 0.50/1.15 useeqfact = 1
% 0.50/1.15 usefactor = 1
% 0.50/1.15 usesimpsplitting = 0
% 0.50/1.15 usesimpdemod = 5
% 0.50/1.15 usesimpres = 3
% 0.50/1.15
% 0.50/1.15 resimpinuse = 1000
% 0.50/1.15 resimpclauses = 20000
% 0.50/1.15 substype = eqrewr
% 0.50/1.15 backwardsubs = 1
% 0.50/1.15 selectoldest = 5
% 0.50/1.15
% 0.50/1.15 litorderings [0] = split
% 0.50/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.50/1.15
% 0.50/1.15 termordering = kbo
% 0.50/1.15
% 0.50/1.15 litapriori = 0
% 0.50/1.15 termapriori = 1
% 0.50/1.15 litaposteriori = 0
% 0.50/1.15 termaposteriori = 0
% 0.50/1.15 demodaposteriori = 0
% 0.50/1.15 ordereqreflfact = 0
% 0.50/1.15
% 0.50/1.15 litselect = negord
% 0.50/1.15
% 0.50/1.15 maxweight = 15
% 0.50/1.15 maxdepth = 30000
% 0.50/1.15 maxlength = 115
% 0.50/1.15 maxnrvars = 195
% 0.50/1.15 excuselevel = 1
% 0.50/1.15 increasemaxweight = 1
% 0.50/1.15
% 0.50/1.15 maxselected = 10000000
% 0.50/1.15 maxnrclauses = 10000000
% 0.50/1.15
% 0.50/1.15 showgenerated = 0
% 0.50/1.15 showkept = 0
% 0.50/1.15 showselected = 0
% 0.50/1.15 showdeleted = 0
% 0.50/1.15 showresimp = 1
% 0.50/1.15 showstatus = 2000
% 0.50/1.15
% 0.50/1.15 prologoutput = 1
% 0.50/1.15 nrgoals = 5000000
% 0.50/1.15 totalproof = 1
% 0.50/1.15
% 0.50/1.15 Symbols occurring in the translation:
% 0.50/1.15
% 0.50/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.50/1.15 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.50/1.15 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.50/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/1.15 'v_NB' [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.50/1.15 'c_Message_Omsg_ONonce' [40, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.50/1.15 'v_evs2' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.50/1.15 'c_Event_Oused' [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.50/1.15 'tc_Message_Omsg' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.50/1.15 'c_in' [44, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.50/1.15 'v_A' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.50/1.15 'c_Public_OshrK' [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.50/1.15 'v_NA' [47, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.50/1.15 'c_Message_Omsg_OAgent' [48, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.50/1.15 'v_B' [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.50/1.15 'c_Message_Omsg_OMPair' [50, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.50/1.15 'c_Message_Omsg_OCrypt' [51, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.50/1.15 'c_Message_Oagent_OSpy' [52, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.50/1.15 'c_Event_Oknows' [53, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.50/1.15 'c_Message_Oparts' [54, 1] (w:1, o:31, a:1, s:1, b:0).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 Starting Search:
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 Bliksems!, er is een bewijs:
% 0.50/1.15 % SZS status Unsatisfiable
% 0.50/1.15 % SZS output start Refutation
% 0.50/1.15
% 0.50/1.15 clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Event_Oused'(
% 0.50/1.15 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 .
% 0.50/1.15 clause( 1, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.50/1.15 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.15 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.15 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2'
% 0.50/1.15 ) ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 .
% 0.50/1.15 clause( 2, [ =( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'v_NA' ) ] )
% 0.50/1.15 .
% 0.50/1.15 clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.15 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 .
% 0.50/1.15 clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.50/1.15 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.50/1.15 'tc_Message_Omsg' ) ] )
% 0.50/1.15 .
% 0.50/1.15 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.50/1.15 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.50/1.15 'tc_Message_Omsg' ) ] )
% 0.50/1.15 .
% 0.50/1.15 clause( 6, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs2' ),
% 0.50/1.15 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 .
% 0.50/1.15 clause( 15, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', 'v_evs2' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 .
% 0.50/1.15 clause( 16, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.50/1.15 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.50/1.15 ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 .
% 0.50/1.15 clause( 19, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.50/1.15 'c_Message_Omsg_OMPair'( 'v_NA', Y ) ), 'c_Message_Oparts'(
% 0.50/1.15 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.50/1.15 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 .
% 0.50/1.15 clause( 33, [] )
% 0.50/1.15 .
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 % SZS output end Refutation
% 0.50/1.15 found a proof!
% 0.50/1.15
% 0.50/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/1.15
% 0.50/1.15 initialclauses(
% 0.50/1.15 [ clause( 35, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.50/1.15 'c_Event_Oused'( 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , clause( 36, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' )
% 0.50/1.15 , 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.15 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.15 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2'
% 0.50/1.15 ) ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , clause( 37, [ =( 'v_NA', 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ] )
% 0.50/1.15 , clause( 38, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.15 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , clause( 39, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , clause( 40, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 ] ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Event_Oused'(
% 0.50/1.15 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , clause( 35, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.50/1.15 'c_Event_Oused'( 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 1, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ),
% 0.50/1.15 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.15 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.15 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2'
% 0.50/1.15 ) ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , clause( 36, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' )
% 0.50/1.15 , 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.15 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.15 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2'
% 0.50/1.15 ) ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 eqswap(
% 0.50/1.15 clause( 41, [ =( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'v_NA' ) ] )
% 0.50/1.15 , clause( 37, [ =( 'v_NA', 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ] )
% 0.50/1.15 , 0, substitution( 0, [] )).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 2, [ =( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'v_NA' ) ] )
% 0.50/1.15 , clause( 41, [ =( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'v_NA' ) ] )
% 0.50/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.15 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , clause( 38, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.15 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.15 ), ==>( 1, 1 )] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.50/1.15 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.50/1.15 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , clause( 39, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.15 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.50/1.15 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.50/1.15 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , clause( 40, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.15 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 paramod(
% 0.50/1.15 clause( 46, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs2' ),
% 0.50/1.15 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , clause( 2, [ =( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'v_NA' ) ] )
% 0.50/1.15 , 0, clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ),
% 0.50/1.15 'c_Event_Oused'( 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 6, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs2' ),
% 0.50/1.15 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , clause( 46, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs2' ),
% 0.50/1.15 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 resolution(
% 0.50/1.15 clause( 47, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', 'v_evs2' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , clause( 6, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs2' ),
% 0.50/1.15 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , 0, clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.15 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_NA' ), :=( Y,
% 0.50/1.15 'v_evs2' )] )).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 15, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', 'v_evs2' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , clause( 47, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', 'v_evs2' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 resolution(
% 0.50/1.15 clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.50/1.15 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.50/1.15 ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , clause( 15, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', 'v_evs2' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , 0, clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_NA' ), :=( Y, X )
% 0.50/1.15 , :=( Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) )] )).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 16, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.50/1.15 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.50/1.15 ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.50/1.15 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.50/1.15 ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 resolution(
% 0.50/1.15 clause( 49, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y,
% 0.50/1.15 'c_Message_Omsg_OMPair'( 'v_NA', X ) ), 'c_Message_Oparts'(
% 0.50/1.15 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.50/1.15 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , clause( 16, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.50/1.15 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' )
% 0.50/1.15 ), 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , 0, clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.50/1.15 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.50/1.15 , 'c_Message_Omsg_OMPair'( 'v_NA', X ) ), :=( Z, 'c_Event_Oknows'(
% 0.50/1.15 'c_Message_Oagent_OSpy', 'v_evs2' ) )] )).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 19, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.50/1.15 'c_Message_Omsg_OMPair'( 'v_NA', Y ) ), 'c_Message_Oparts'(
% 0.50/1.15 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.50/1.15 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , clause( 49, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y,
% 0.50/1.15 'c_Message_Omsg_OMPair'( 'v_NA', X ) ), 'c_Message_Oparts'(
% 0.50/1.15 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.50/1.15 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.15 )] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 resolution(
% 0.50/1.15 clause( 50, [] )
% 0.50/1.15 , clause( 19, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.50/1.15 'c_Message_Omsg_OMPair'( 'v_NA', Y ) ), 'c_Message_Oparts'(
% 0.50/1.15 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2' ) ),
% 0.50/1.15 'tc_Message_Omsg' ) ) ] )
% 0.50/1.15 , 0, clause( 1, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 0.50/1.15 ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'(
% 0.50/1.15 'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 0.50/1.15 , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs2'
% 0.50/1.15 ) ), 'tc_Message_Omsg' ) ] )
% 0.50/1.15 , 0, substitution( 0, [ :=( X, 'c_Public_OshrK'( 'v_A' ) ), :=( Y,
% 0.50/1.15 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 0.50/1.15 'c_Message_Omsg_OAgent'( 'v_B' ) ) )] ), substitution( 1, [] )).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 subsumption(
% 0.50/1.15 clause( 33, [] )
% 0.50/1.15 , clause( 50, [] )
% 0.50/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 end.
% 0.50/1.15
% 0.50/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/1.15
% 0.50/1.15 Memory use:
% 0.50/1.15
% 0.50/1.15 space for terms: 596
% 0.50/1.15 space for clauses: 3223
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 clauses generated: 47
% 0.50/1.15 clauses kept: 34
% 0.50/1.15 clauses selected: 14
% 0.50/1.15 clauses deleted: 1
% 0.50/1.15 clauses inuse deleted: 0
% 0.50/1.15
% 0.50/1.15 subsentry: 40
% 0.50/1.15 literals s-matched: 26
% 0.50/1.15 literals matched: 26
% 0.50/1.15 full subsumption: 0
% 0.50/1.15
% 0.50/1.15 checksum: -1631407183
% 0.50/1.15
% 0.50/1.15
% 0.50/1.15 Bliksem ended
%------------------------------------------------------------------------------