TSTP Solution File: SWV295-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV295-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 16:23:44 EDT 2022
% Result : Unsatisfiable 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV295-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 15:16:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.07 *** allocated 10000 integers for termspace/termends
% 0.43/1.07 *** allocated 10000 integers for clauses
% 0.43/1.07 *** allocated 10000 integers for justifications
% 0.43/1.07 Bliksem 1.12
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Automatic Strategy Selection
% 0.43/1.07
% 0.43/1.07 Clauses:
% 0.43/1.07 [
% 0.43/1.07 [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.43/1.07 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ],
% 0.43/1.07 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Event_Oused'(
% 0.43/1.07 'v_evs1' ), 'tc_Message_Omsg' ) ) ],
% 0.43/1.07 [ =( 'v_NA', 'c_Message_Omsg_ONonce'( 'v_NAa' ) ) ],
% 0.43/1.07 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.43/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 0.43/1.07 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.43/1.07 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.43/1.07 'tc_Message_Omsg' ) ],
% 0.43/1.07 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.43/1.07 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.43/1.07 'tc_Message_Omsg' ) ]
% 0.43/1.07 ] .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 percentage equality = 0.111111, percentage horn = 1.000000
% 0.43/1.07 This is a problem with some equality
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Options Used:
% 0.43/1.07
% 0.43/1.07 useres = 1
% 0.43/1.07 useparamod = 1
% 0.43/1.07 useeqrefl = 1
% 0.43/1.07 useeqfact = 1
% 0.43/1.07 usefactor = 1
% 0.43/1.07 usesimpsplitting = 0
% 0.43/1.07 usesimpdemod = 5
% 0.43/1.07 usesimpres = 3
% 0.43/1.07
% 0.43/1.07 resimpinuse = 1000
% 0.43/1.07 resimpclauses = 20000
% 0.43/1.07 substype = eqrewr
% 0.43/1.07 backwardsubs = 1
% 0.43/1.07 selectoldest = 5
% 0.43/1.07
% 0.43/1.07 litorderings [0] = split
% 0.43/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.07
% 0.43/1.07 termordering = kbo
% 0.43/1.07
% 0.43/1.07 litapriori = 0
% 0.43/1.07 termapriori = 1
% 0.43/1.07 litaposteriori = 0
% 0.43/1.07 termaposteriori = 0
% 0.43/1.07 demodaposteriori = 0
% 0.43/1.07 ordereqreflfact = 0
% 0.43/1.07
% 0.43/1.07 litselect = negord
% 0.43/1.07
% 0.43/1.07 maxweight = 15
% 0.43/1.07 maxdepth = 30000
% 0.43/1.07 maxlength = 115
% 0.43/1.07 maxnrvars = 195
% 0.43/1.07 excuselevel = 1
% 0.43/1.07 increasemaxweight = 1
% 0.43/1.07
% 0.43/1.07 maxselected = 10000000
% 0.43/1.07 maxnrclauses = 10000000
% 0.43/1.07
% 0.43/1.07 showgenerated = 0
% 0.43/1.07 showkept = 0
% 0.43/1.07 showselected = 0
% 0.43/1.07 showdeleted = 0
% 0.43/1.07 showresimp = 1
% 0.43/1.07 showstatus = 2000
% 0.43/1.07
% 0.43/1.07 prologoutput = 1
% 0.43/1.07 nrgoals = 5000000
% 0.43/1.07 totalproof = 1
% 0.43/1.07
% 0.43/1.07 Symbols occurring in the translation:
% 0.43/1.07
% 0.43/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.07 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.43/1.07 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.43/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 'v_Aa' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.07 'c_Public_OshrK' [40, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.43/1.07 'v_NAa' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.43/1.07 'c_Message_Omsg_ONonce' [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.43/1.07 'v_K' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.43/1.07 'c_Message_Omsg_OKey' [44, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.43/1.07 'c_Message_Omsg_OMPair' [45, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.43/1.07 'c_Message_Omsg_OCrypt' [46, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.43/1.07 'c_Message_Oagent_OSpy' [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.43/1.07 'v_evs1' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.07 'c_Event_Oknows' [49, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.43/1.07 'c_Message_Oparts' [50, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.43/1.07 'tc_Message_Omsg' [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.43/1.07 'c_in' [52, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.43/1.07 'c_Event_Oused' [53, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.43/1.07 'v_NA' [54, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Starting Search:
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksems!, er is een bewijs:
% 0.43/1.07 % SZS status Unsatisfiable
% 0.43/1.07 % SZS output start Refutation
% 0.43/1.07
% 0.43/1.07 clause( 0, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.43/1.07 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Event_Oused'(
% 0.43/1.07 'v_evs1' ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 2, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.43/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.43/1.07 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.43/1.07 'tc_Message_Omsg' ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.43/1.07 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.43/1.07 'tc_Message_Omsg' ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 6, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs1' ),
% 0.43/1.07 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 11, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.43/1.07 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.43/1.07 ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 14, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 15, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.43/1.07 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.43/1.07 ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 18, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'v_NA', Y ) ), 'c_Message_Oparts'(
% 0.43/1.07 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.43/1.07 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 45, [] )
% 0.43/1.07 .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 % SZS output end Refutation
% 0.43/1.07 found a proof!
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 initialclauses(
% 0.43/1.07 [ clause( 47, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' )
% 0.43/1.07 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.43/1.07 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.43/1.07 'c_Event_Oused'( 'v_evs1' ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , clause( 49, [ =( 'v_NA', 'c_Message_Omsg_ONonce'( 'v_NAa' ) ) ] )
% 0.43/1.07 , clause( 50, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.43/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , clause( 51, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , clause( 52, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 ] ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 0, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.43/1.07 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , clause( 47, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' )
% 0.43/1.07 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.43/1.07 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Event_Oused'(
% 0.43/1.07 'v_evs1' ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.43/1.07 'c_Event_Oused'( 'v_evs1' ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 53, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.43/1.07 , clause( 49, [ =( 'v_NA', 'c_Message_Omsg_ONonce'( 'v_NAa' ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 2, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.43/1.07 , clause( 53, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.43/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , clause( 50, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.43/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 ), ==>( 1, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'(
% 0.43/1.07 Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.43/1.07 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , clause( 51, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'(
% 0.43/1.07 Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.43/1.07 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , clause( 52, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 58, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs1' ),
% 0.43/1.07 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , clause( 2, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.43/1.07 , 0, clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.43/1.07 'c_Event_Oused'( 'v_evs1' ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 6, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs1' ),
% 0.43/1.07 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , clause( 58, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs1' ),
% 0.43/1.07 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 60, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.43/1.07 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.43/1.07 ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , clause( 2, [ =( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 'v_NA' ) ] )
% 0.43/1.07 , 0, clause( 0, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa'
% 0.43/1.07 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ),
% 0.43/1.07 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 11, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.43/1.07 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.43/1.07 ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , clause( 60, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' )
% 0.43/1.07 , 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ),
% 0.43/1.07 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.43/1.07 ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 61, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , clause( 6, [ ~( 'c_in'( 'v_NA', 'c_Event_Oused'( 'v_evs1' ),
% 0.43/1.07 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , 0, clause( 3, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.43/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_NA' ), :=( Y,
% 0.43/1.07 'v_evs1' )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 14, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , clause( 61, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 62, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.43/1.07 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.43/1.07 ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , clause( 14, [ ~( 'c_in'( 'v_NA', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , 0, clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_NA' ), :=( Y, X )
% 0.43/1.07 , :=( Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 15, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.43/1.07 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.43/1.07 ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , clause( 62, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.43/1.07 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.43/1.07 ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 63, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y,
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'v_NA', X ) ), 'c_Message_Oparts'(
% 0.43/1.07 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.43/1.07 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , clause( 15, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_NA', X ),
% 0.43/1.07 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' )
% 0.43/1.07 ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , 0, clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.43/1.07 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.43/1.07 , 'c_Message_Omsg_OMPair'( 'v_NA', X ) ), :=( Z, 'c_Event_Oknows'(
% 0.43/1.07 'c_Message_Oagent_OSpy', 'v_evs1' ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 18, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'v_NA', Y ) ), 'c_Message_Oparts'(
% 0.43/1.07 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.43/1.07 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , clause( 63, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y,
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'v_NA', X ) ), 'c_Message_Oparts'(
% 0.43/1.07 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.43/1.07 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 64, [] )
% 0.43/1.07 , clause( 18, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X,
% 0.43/1.07 'c_Message_Omsg_OMPair'( 'v_NA', Y ) ), 'c_Message_Oparts'(
% 0.43/1.07 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs1' ) ),
% 0.43/1.07 'tc_Message_Omsg' ) ) ] )
% 0.43/1.07 , 0, clause( 11, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 0.43/1.07 'v_Aa' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' )
% 0.43/1.07 ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 0.43/1.07 'v_evs1' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, 'c_Public_OshrK'( 'v_Aa' ) ), :=( Y,
% 0.43/1.07 'c_Message_Omsg_OKey'( 'v_K' ) )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 45, [] )
% 0.43/1.07 , clause( 64, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 782
% 0.43/1.07 space for clauses: 4703
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 150
% 0.43/1.07 clauses kept: 46
% 0.43/1.07 clauses selected: 24
% 0.43/1.07 clauses deleted: 3
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 72
% 0.43/1.07 literals s-matched: 56
% 0.43/1.07 literals matched: 56
% 0.43/1.07 full subsumption: 0
% 0.43/1.07
% 0.43/1.07 checksum: 277853469
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------