TSTP Solution File: SWV331-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 16:24:08 EDT 2022
% Result : Unsatisfiable 0.73s 1.13s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 14:50:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13 [
% 0.73/1.13 [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.73/1.13 'tc_Event_Oevent' ) ) ],
% 0.73/1.13 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( 'v_evs3' )
% 0.73/1.13 , 'tc_Message_Omsg' ) ) ],
% 0.73/1.13 [ 'c_in'( 'v_K', 'c_Message_OsymKeys', 'tc_nat' ) ],
% 0.73/1.13 [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'c_Message_Omsg_ONonce'(
% 0.73/1.13 'v_NB' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.73/1.13 , 'v_evs3' ) ), 'tc_Message_Omsg' ) ],
% 0.73/1.13 [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.73/1.13 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ],
% 0.73/1.13 [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), ~(
% 0.73/1.13 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( Y,
% 0.73/1.13 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ]
% 0.73/1.13 ] .
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 percentage equality = 0.000000, percentage horn = 1.000000
% 0.73/1.13 This is a near-Horn, non-equality problem
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Options Used:
% 0.73/1.13
% 0.73/1.13 useres = 1
% 0.73/1.13 useparamod = 0
% 0.73/1.13 useeqrefl = 0
% 0.73/1.13 useeqfact = 0
% 0.73/1.13 usefactor = 1
% 0.73/1.13 usesimpsplitting = 0
% 0.73/1.13 usesimpdemod = 0
% 0.73/1.13 usesimpres = 4
% 0.73/1.13
% 0.73/1.13 resimpinuse = 1000
% 0.73/1.13 resimpclauses = 20000
% 0.73/1.13 substype = standard
% 0.73/1.13 backwardsubs = 1
% 0.73/1.13 selectoldest = 5
% 0.73/1.13
% 0.73/1.13 litorderings [0] = split
% 0.73/1.13 litorderings [1] = liftord
% 0.73/1.13
% 0.73/1.13 termordering = none
% 0.73/1.13
% 0.73/1.13 litapriori = 1
% 0.73/1.13 termapriori = 0
% 0.73/1.13 litaposteriori = 0
% 0.73/1.13 termaposteriori = 0
% 0.73/1.13 demodaposteriori = 0
% 0.73/1.13 ordereqreflfact = 0
% 0.73/1.13
% 0.73/1.13 litselect = negative
% 0.73/1.13
% 0.73/1.13 maxweight = 30000
% 0.73/1.13 maxdepth = 30000
% 0.73/1.13 maxlength = 115
% 0.73/1.13 maxnrvars = 195
% 0.73/1.13 excuselevel = 0
% 0.73/1.13 increasemaxweight = 0
% 0.73/1.13
% 0.73/1.13 maxselected = 10000000
% 0.73/1.13 maxnrclauses = 10000000
% 0.73/1.13
% 0.73/1.13 showgenerated = 0
% 0.73/1.13 showkept = 0
% 0.73/1.13 showselected = 0
% 0.73/1.13 showdeleted = 0
% 0.73/1.13 showresimp = 1
% 0.73/1.13 showstatus = 2000
% 0.73/1.13
% 0.73/1.13 prologoutput = 1
% 0.73/1.13 nrgoals = 5000000
% 0.73/1.13 totalproof = 1
% 0.73/1.13
% 0.73/1.13 Symbols occurring in the translation:
% 0.73/1.13
% 0.73/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.13 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.73/1.13 ! [4, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 'v_evs3' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.13 'c_Yahalom_Oyahalom' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.13 'tc_Event_Oevent' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.73/1.13 'tc_List_Olist' [42, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.13 'c_in' [43, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.73/1.13 'v_K' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.13 'c_Message_Omsg_OKey' [45, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.13 'c_Event_Oused' [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.13 'tc_Message_Omsg' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.13 'c_Message_OsymKeys' [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.13 'tc_nat' [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.73/1.13 'v_NB' [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.73/1.13 'c_Message_Omsg_ONonce' [51, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.13 'c_Message_Omsg_OCrypt' [52, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.73/1.13 'c_Message_Oagent_OSpy' [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.73/1.13 'c_Event_Oknows' [54, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.73/1.13 'c_Message_Oparts' [55, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.73/1.13 'c_Message_OkeysFor' [59, 1] (w:1, o:32, a:1, s:1, b:0).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Starting Search:
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksems!, er is een bewijs:
% 0.73/1.13 % SZS status Unsatisfiable
% 0.73/1.13 % SZS output start Refutation
% 0.73/1.13
% 0.73/1.13 clause( 0, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.73/1.13 'tc_Event_Oevent' ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.73/1.13 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 2, [ 'c_in'( 'v_K', 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 3, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K',
% 0.73/1.13 'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.73/1.13 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z,
% 0.73/1.13 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Z ), 'tc_nat' ),
% 0.73/1.13 ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 5, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( X
% 0.73/1.13 , 'c_Message_OkeysFor'( 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.73/1.13 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ),
% 0.73/1.13 ~( 'c_in'( Y, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 0.73/1.13 ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 6, [ 'c_in'( 'v_K', 'c_Message_OkeysFor'( Y ), 'tc_nat' ), ~(
% 0.73/1.13 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', X ), Y, 'tc_Message_Omsg' ) ) ]
% 0.73/1.13 )
% 0.73/1.13 .
% 0.73/1.13 clause( 7, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ),
% 0.73/1.13 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( 'v_evs3' ),
% 0.73/1.13 'tc_Message_Omsg' ), ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ) ]
% 0.73/1.13 )
% 0.73/1.13 .
% 0.73/1.13 clause( 8, [ 'c_in'( 'v_K', 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ]
% 0.73/1.13 )
% 0.73/1.13 .
% 0.73/1.13 clause( 9, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.73/1.13 'v_evs3' ), 'tc_Message_Omsg' ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 10, [] )
% 0.73/1.13 .
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 % SZS output end Refutation
% 0.73/1.13 found a proof!
% 0.73/1.13
% 0.73/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.13
% 0.73/1.13 initialclauses(
% 0.73/1.13 [ clause( 12, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.73/1.13 'tc_Event_Oevent' ) ) ] )
% 0.73/1.13 , clause( 13, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.73/1.13 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.13 , clause( 14, [ 'c_in'( 'v_K', 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 0.73/1.13 , clause( 15, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K',
% 0.73/1.13 'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.73/1.13 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , clause( 16, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.73/1.13 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ] )
% 0.73/1.13 , clause( 17, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), ~(
% 0.73/1.13 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( Y,
% 0.73/1.13 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ]
% 0.73/1.13 )
% 0.73/1.13 ] ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 0, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.73/1.13 'tc_Event_Oevent' ) ) ] )
% 0.73/1.13 , clause( 12, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.73/1.13 'tc_Event_Oevent' ) ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.73/1.13 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.13 , clause( 13, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.73/1.13 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 2, [ 'c_in'( 'v_K', 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 0.73/1.13 , clause( 14, [ 'c_in'( 'v_K', 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 3, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K',
% 0.73/1.13 'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.73/1.13 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , clause( 15, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K',
% 0.73/1.13 'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.73/1.13 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z,
% 0.73/1.13 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Z ), 'tc_nat' ),
% 0.73/1.13 ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 0.73/1.13 , clause( 16, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.73/1.13 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 5, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( X
% 0.73/1.13 , 'c_Message_OkeysFor'( 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.73/1.13 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ),
% 0.73/1.13 ~( 'c_in'( Y, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 0.73/1.13 ) ) ] )
% 0.73/1.13 , clause( 17, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), ~(
% 0.73/1.13 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( Y,
% 0.73/1.13 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ]
% 0.73/1.13 )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.13 ), ==>( 1, 0 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 18, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', X ), Y,
% 0.73/1.13 'tc_Message_Omsg' ) ), 'c_in'( 'v_K', 'c_Message_OkeysFor'( Y ), 'tc_nat'
% 0.73/1.13 ) ] )
% 0.73/1.13 , clause( 4, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z,
% 0.73/1.13 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Z ), 'tc_nat' ),
% 0.73/1.13 ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 0.73/1.13 , 2, clause( 2, [ 'c_in'( 'v_K', 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, 'v_K' ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.13 substitution( 1, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 6, [ 'c_in'( 'v_K', 'c_Message_OkeysFor'( Y ), 'tc_nat' ), ~(
% 0.73/1.13 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', X ), Y, 'tc_Message_Omsg' ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 18, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', X ), Y,
% 0.73/1.13 'tc_Message_Omsg' ) ), 'c_in'( 'v_K', 'c_Message_OkeysFor'( Y ), 'tc_nat'
% 0.73/1.13 ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.13 ), ==>( 1, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 19, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'(
% 0.73/1.13 X, 'c_Message_OkeysFor'( 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.73/1.13 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ), 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( 'v_evs3' ),
% 0.73/1.13 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , clause( 5, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'(
% 0.73/1.13 X, 'c_Message_OkeysFor'( 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.73/1.13 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ),
% 0.73/1.13 ~( 'c_in'( Y, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 0.73/1.13 ) ) ] )
% 0.73/1.13 , 3, clause( 0, [ 'c_in'( 'v_evs3', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 0.73/1.13 'tc_Event_Oevent' ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_evs3' )] ), substitution( 1
% 0.73/1.13 , [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 7, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ),
% 0.73/1.13 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( 'v_evs3' ),
% 0.73/1.13 'tc_Message_Omsg' ), ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 19, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'(
% 0.73/1.13 X, 'c_Message_OkeysFor'( 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.73/1.13 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ), 'c_in'(
% 0.73/1.13 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( 'v_evs3' ),
% 0.73/1.13 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.13 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 20, [ 'c_in'( 'v_K', 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 6, [ 'c_in'( 'v_K', 'c_Message_OkeysFor'( Y ), 'tc_nat' ), ~(
% 0.73/1.13 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', X ), Y, 'tc_Message_Omsg' ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 1, clause( 3, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K',
% 0.73/1.13 'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 0.73/1.13 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_ONonce'( 'v_NB' ) ), :=( Y,
% 0.73/1.13 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 0.73/1.13 ) )] ), substitution( 1, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 8, [ 'c_in'( 'v_K', 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 20, [ 'c_in'( 'v_K', 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ]
% 0.73/1.13 )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 21, [ ~( 'c_in'( 'v_K', 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ),
% 0.73/1.13 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( 'v_evs3' ),
% 0.73/1.13 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , clause( 7, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ),
% 0.73/1.13 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( 'v_evs3' ),
% 0.73/1.13 'tc_Message_Omsg' ), ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 2, clause( 2, [ 'c_in'( 'v_K', 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, 'v_K' )] ), substitution( 1, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 22, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.73/1.13 'v_evs3' ), 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , clause( 21, [ ~( 'c_in'( 'v_K', 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ),
% 0.73/1.13 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( 'v_evs3' ),
% 0.73/1.13 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , 0, clause( 8, [ 'c_in'( 'v_K', 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 0.73/1.13 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ) ), 'tc_nat' ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 9, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.73/1.13 'v_evs3' ), 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , clause( 22, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.73/1.13 'v_evs3' ), 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 23, [] )
% 0.73/1.13 , clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.73/1.13 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.13 , 0, clause( 9, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.73/1.13 'v_evs3' ), 'tc_Message_Omsg' ) ] )
% 0.73/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 10, [] )
% 0.73/1.13 , clause( 23, [] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 end.
% 0.73/1.13
% 0.73/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.13
% 0.73/1.13 Memory use:
% 0.73/1.13
% 0.73/1.13 space for terms: 294
% 0.73/1.13 space for clauses: 838
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 clauses generated: 11
% 0.73/1.13 clauses kept: 11
% 0.73/1.13 clauses selected: 9
% 0.73/1.13 clauses deleted: 1
% 0.73/1.13 clauses inuse deleted: 0
% 0.73/1.13
% 0.73/1.13 subsentry: 0
% 0.73/1.13 literals s-matched: 0
% 0.73/1.13 literals matched: 0
% 0.73/1.13 full subsumption: 0
% 0.73/1.13
% 0.73/1.13 checksum: 803948006
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksem ended
%------------------------------------------------------------------------------