TSTP Solution File: SWV247-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV247-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 16:23:09 EDT 2022
% Result : Unsatisfiable 11.16s 11.53s
% Output : Refutation 11.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV247-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n023.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 18:37:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 11.16/11.53 *** allocated 10000 integers for termspace/termends
% 11.16/11.53 *** allocated 10000 integers for clauses
% 11.16/11.53 *** allocated 10000 integers for justifications
% 11.16/11.53 Bliksem 1.12
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 Automatic Strategy Selection
% 11.16/11.53
% 11.16/11.53 Clauses:
% 11.16/11.53 [
% 11.16/11.53 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z,
% 11.16/11.53 'tc_Message_Omsg' ) ],
% 11.16/11.53 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' )
% 11.16/11.53 ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 11.16/11.53 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Y,
% 11.16/11.53 'tc_Message_Omsg' ) ],
% 11.16/11.53 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'(
% 11.16/11.53 Y ), 'tc_Message_Omsg' ) ],
% 11.16/11.53 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 11.16/11.53 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 11.16/11.53 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 11.16/11.53 X, Y, T ) ],
% 11.16/11.53 [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ]
% 11.16/11.53 ,
% 11.16/11.53 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ),
% 11.16/11.53 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 11.16/11.53 ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg'
% 11.16/11.53 ) ],
% 11.16/11.53 [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 11.16/11.53 ] .
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 percentage equality = 0.000000, percentage horn = 0.800000
% 11.16/11.53 This a non-horn, non-equality problem
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 Options Used:
% 11.16/11.53
% 11.16/11.53 useres = 1
% 11.16/11.53 useparamod = 0
% 11.16/11.53 useeqrefl = 0
% 11.16/11.53 useeqfact = 0
% 11.16/11.53 usefactor = 1
% 11.16/11.53 usesimpsplitting = 0
% 11.16/11.53 usesimpdemod = 0
% 11.16/11.53 usesimpres = 3
% 11.16/11.53
% 11.16/11.53 resimpinuse = 1000
% 11.16/11.53 resimpclauses = 20000
% 11.16/11.53 substype = standard
% 11.16/11.53 backwardsubs = 1
% 11.16/11.53 selectoldest = 5
% 11.16/11.53
% 11.16/11.53 litorderings [0] = split
% 11.16/11.53 litorderings [1] = liftord
% 11.16/11.53
% 11.16/11.53 termordering = none
% 11.16/11.53
% 11.16/11.53 litapriori = 1
% 11.16/11.53 termapriori = 0
% 11.16/11.53 litaposteriori = 0
% 11.16/11.53 termaposteriori = 0
% 11.16/11.53 demodaposteriori = 0
% 11.16/11.53 ordereqreflfact = 0
% 11.16/11.53
% 11.16/11.53 litselect = none
% 11.16/11.53
% 11.16/11.53 maxweight = 15
% 11.16/11.53 maxdepth = 30000
% 11.16/11.53 maxlength = 115
% 11.16/11.53 maxnrvars = 195
% 11.16/11.53 excuselevel = 1
% 11.16/11.53 increasemaxweight = 1
% 11.16/11.53
% 11.16/11.53 maxselected = 10000000
% 11.16/11.53 maxnrclauses = 10000000
% 11.16/11.53
% 11.16/11.53 showgenerated = 0
% 11.16/11.53 showkept = 0
% 11.16/11.53 showselected = 0
% 11.16/11.53 showdeleted = 0
% 11.16/11.53 showresimp = 1
% 11.16/11.53 showstatus = 2000
% 11.16/11.53
% 11.16/11.53 prologoutput = 1
% 11.16/11.53 nrgoals = 5000000
% 11.16/11.53 totalproof = 1
% 11.16/11.53
% 11.16/11.53 Symbols occurring in the translation:
% 11.16/11.53
% 11.16/11.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 11.16/11.53 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 11.16/11.53 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 11.16/11.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 11.16/11.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 11.16/11.53 'c_Message_Omsg_OCrypt' [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 11.16/11.53 'c_Message_Osynth' [43, 1] (w:1, o:26, a:1, s:1, b:0),
% 11.16/11.53 'tc_Message_Omsg' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 11.16/11.53 'c_in' [45, 3] (w:1, o:56, a:1, s:1, b:0),
% 11.16/11.53 'c_Message_Oanalz' [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 11.16/11.53 'c_Message_OinvKey' [47, 1] (w:1, o:28, a:1, s:1, b:0),
% 11.16/11.53 'c_Message_Omsg_OKey' [48, 1] (w:1, o:29, a:1, s:1, b:0),
% 11.16/11.53 'c_union' [53, 3] (w:1, o:57, a:1, s:1, b:0),
% 11.16/11.53 'v_K' [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 11.16/11.53 'v_X' [55, 0] (w:1, o:18, a:1, s:1, b:0),
% 11.16/11.53 'v_G' [56, 0] (w:1, o:19, a:1, s:1, b:0),
% 11.16/11.53 'v_H' [57, 0] (w:1, o:20, a:1, s:1, b:0).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 Starting Search:
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53 Failed to find proof!
% 11.16/11.53 maxweight = 15
% 11.16/11.53 maxnrclauses = 10000000
% 11.16/11.53 Generated: 83408
% 11.16/11.53 Kept: 771
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 The strategy used was not complete!
% 11.16/11.53
% 11.16/11.53 Increased maxweight to 16
% 11.16/11.53
% 11.16/11.53 Starting Search:
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53 Failed to find proof!
% 11.16/11.53 maxweight = 16
% 11.16/11.53 maxnrclauses = 10000000
% 11.16/11.53 Generated: 211794
% 11.16/11.53 Kept: 1800
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 The strategy used was not complete!
% 11.16/11.53
% 11.16/11.53 Increased maxweight to 17
% 11.16/11.53
% 11.16/11.53 Starting Search:
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 Intermediate Status:
% 11.16/11.53 Generated: 10898
% 11.16/11.53 Kept: 2005
% 11.16/11.53 Inuse: 257
% 11.16/11.53 Deleted: 0
% 11.16/11.53 Deletedinuse: 0
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 Intermediate Status:
% 11.16/11.53 Generated: 196339
% 11.16/11.53 Kept: 4006
% 11.16/11.53 Inuse: 1180
% 11.16/11.53 Deleted: 4
% 11.16/11.53 Deletedinuse: 1
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 Intermediate Status:
% 11.16/11.53 Generated: 725365
% 11.16/11.53 Kept: 6016
% 11.16/11.53 Inuse: 2787
% 11.16/11.53 Deleted: 85
% 11.16/11.53 Deletedinuse: 78
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 Intermediate Status:
% 11.16/11.53 Generated: 871115
% 11.16/11.53 Kept: 8170
% 11.16/11.53 Inuse: 3574
% 11.16/11.53 Deleted: 92
% 11.16/11.53 Deletedinuse: 84
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 Intermediate Status:
% 11.16/11.53 Generated: 949714
% 11.16/11.53 Kept: 10173
% 11.16/11.53 Inuse: 3917
% 11.16/11.53 Deleted: 92
% 11.16/11.53 Deletedinuse: 84
% 11.16/11.53
% 11.16/11.53 Resimplifying inuse:
% 11.16/11.53 Done
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 Bliksems!, er is een bewijs:
% 11.16/11.53 % SZS status Unsatisfiable
% 11.16/11.53 % SZS output start Refutation
% 11.16/11.53
% 11.16/11.53 clause( 0, [ 'c_in'( Y, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ),
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ),
% 11.16/11.53 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 11.16/11.53 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 2, [ 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ),
% 11.16/11.53 ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 3, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 11.16/11.53 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 4, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 11.16/11.53 )
% 11.16/11.53 .
% 11.16/11.53 clause( 5, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 11.16/11.53 )
% 11.16/11.53 .
% 11.16/11.53 clause( 6, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_union'(
% 11.16/11.53 Y, Z, T ), T ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 7, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ]
% 11.16/11.53 )
% 11.16/11.53 .
% 11.16/11.53 clause( 8, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) )
% 11.16/11.53 , 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 9, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 11.16/11.53 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 17, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_union'( Y, Z,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'( X, Y,
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 64, [ 'c_in'( Z, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ),
% 11.16/11.53 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 96, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y
% 11.16/11.53 ), 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ),
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( Y, Z, 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 121, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_union'( Y,
% 11.16/11.53 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ),
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 124, [ 'c_in'( Y, 'c_Message_Osynth'( T ), 'tc_Message_Omsg' ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_union'( Z, 'c_Message_Osynth'(
% 11.16/11.53 T ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), T, 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 162, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 163, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 191, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' )
% 11.16/11.53 ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'(
% 11.16/11.53 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 1757, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( Z )
% 11.16/11.53 ), Y, 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X )
% 11.16/11.53 , Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 3038, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' )
% 11.16/11.53 ), 'v_G', 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 3049, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 3432, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 3434, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 3437, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 3521, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 11.16/11.53 'v_G', X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 4342, [ 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G', X,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ), 'c_union'( 'v_G',
% 11.16/11.53 X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 4362, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'v_G', 'tc_Message_Omsg' ) ), 'c_in'( 'v_X',
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', X, 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 4532, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'v_G', 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 5008, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' )
% 11.16/11.53 ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 5037, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( 'v_K', X ), 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 .
% 11.16/11.53 clause( 10528, [] )
% 11.16/11.53 .
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 % SZS output end Refutation
% 11.16/11.53 found a proof!
% 11.16/11.53
% 11.16/11.53 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 11.16/11.53
% 11.16/11.53 initialclauses(
% 11.16/11.53 [ clause( 10530, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 11.16/11.53 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 11.16/11.53 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10531, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 11.16/11.53 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z
% 11.16/11.53 ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10532, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ),
% 11.16/11.53 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10533, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 11.16/11.53 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10534, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 11.16/11.53 , Z ) ] )
% 11.16/11.53 , clause( 10535, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 11.16/11.53 , Z ) ] )
% 11.16/11.53 , clause( 10536, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 11.16/11.53 , T ), 'c_in'( X, Y, T ) ] )
% 11.16/11.53 , clause( 10537, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 11.16/11.53 ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg'
% 11.16/11.53 ) ] )
% 11.16/11.53 , clause( 10538, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10539, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'(
% 11.16/11.53 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G'
% 11.16/11.53 ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 ] ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 0, [ 'c_in'( Y, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ),
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10530, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 11.16/11.53 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 11.16/11.53 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ),
% 11.16/11.53 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 11.16/11.53 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10531, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 11.16/11.53 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z
% 11.16/11.53 ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 2, [ 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ),
% 11.16/11.53 ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10532, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ),
% 11.16/11.53 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 11.16/11.53 ), ==>( 1, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 3, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 11.16/11.53 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10533, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 11.16/11.53 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 11.16/11.53 ), ==>( 1, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 4, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 11.16/11.53 )
% 11.16/11.53 , clause( 10534, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 11.16/11.53 , Z ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 5, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 11.16/11.53 )
% 11.16/11.53 , clause( 10535, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 11.16/11.53 , Z ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 6, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_union'(
% 11.16/11.53 Y, Z, T ), T ) ) ] )
% 11.16/11.53 , clause( 10536, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 11.16/11.53 , T ), 'c_in'( X, Y, T ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 7, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ]
% 11.16/11.53 )
% 11.16/11.53 , clause( 10537, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 11.16/11.53 ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg'
% 11.16/11.53 ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 8, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) )
% 11.16/11.53 , 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10538, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 9, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 11.16/11.53 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10539, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'(
% 11.16/11.53 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G'
% 11.16/11.53 ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10545, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_union'( Y, Z,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'( X, Y,
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 3, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 11.16/11.53 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 1, clause( 5, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z
% 11.16/11.53 ) ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_union'( Y, Z,
% 11.16/11.53 'tc_Message_Omsg' ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 11.16/11.53 Z, 'tc_Message_Omsg' ), :=( T, Z )] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 17, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_union'( Y, Z,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'( X, Y,
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10545, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_union'( Y, Z,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'( X, Y,
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10547, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X )
% 11.16/11.53 ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( Z,
% 11.16/11.53 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) )
% 11.16/11.53 , 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 11.16/11.53 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 2, clause( 3, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ),
% 11.16/11.53 ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 11.16/11.53 substitution( 1, [ :=( X, 'c_Message_Omsg_OCrypt'( X, Z ) ), :=( Y, Y )] )
% 11.16/11.53 ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 64, [ 'c_in'( Z, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ),
% 11.16/11.53 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10547, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X
% 11.16/11.53 ) ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( Z,
% 11.16/11.53 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10548, [ 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Oanalz'(
% 11.16/11.53 'c_union'( Y, Z, 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' )
% 11.16/11.53 ) ] )
% 11.16/11.53 , clause( 17, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_union'( Y, Z,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'( X, Y,
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 1, clause( 2, [ 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg'
% 11.16/11.53 ), ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OKey'( X ) ), :=( Y, Y ),
% 11.16/11.53 :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 96, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y
% 11.16/11.53 ), 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ),
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( Y, Z, 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10548, [ 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Oanalz'(
% 11.16/11.53 'c_union'( Y, Z, 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' )
% 11.16/11.53 ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10551, [ 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' )
% 11.16/11.53 , 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( X ), 'c_union'( Z, 'c_Message_Osynth'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 2, [ 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ),
% 11.16/11.53 ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 1, clause( 6, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X,
% 11.16/11.53 'c_union'( Y, Z, T ), T ) ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 11.16/11.53 , 'c_Message_Omsg_OKey'( X ) ), :=( Y, Z ), :=( Z, 'c_Message_Osynth'( Y
% 11.16/11.53 ) ), :=( T, 'tc_Message_Omsg' )] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 121, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_union'( Y,
% 11.16/11.53 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ),
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10551, [ 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg'
% 11.16/11.53 ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( X ), 'c_union'( Z, 'c_Message_Osynth'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10557, [ 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ),
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), Y, 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( Z, X ), T, 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( Z, X ), 'c_union'( T, 'c_Message_Osynth'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 0, [ 'c_in'( Y, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ),
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 2, clause( 6, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X,
% 11.16/11.53 'c_union'( Y, Z, T ), T ) ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 11.16/11.53 substitution( 1, [ :=( X, 'c_Message_Omsg_OCrypt'( Z, X ) ), :=( Y, T ),
% 11.16/11.53 :=( Z, 'c_Message_Osynth'( Y ) ), :=( T, 'tc_Message_Omsg' )] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 124, [ 'c_in'( Y, 'c_Message_Osynth'( T ), 'tc_Message_Omsg' ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_union'( Z, 'c_Message_Osynth'(
% 11.16/11.53 T ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), T, 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10557, [ 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' )
% 11.16/11.53 , 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), Y, 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( Z, X ), T, 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( Z, X ), 'c_union'( T, 'c_Message_Osynth'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 1 )] )
% 11.16/11.53 ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10561, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 9, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 11.16/11.53 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 0, clause( 4, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z
% 11.16/11.53 ) ) ] )
% 11.16/11.53 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y,
% 11.16/11.53 'c_Message_Osynth'( 'v_G' ) ), :=( Z, 'tc_Message_Omsg' ), :=( T,
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ) )] )
% 11.16/11.53 ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 162, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10561, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10562, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 9, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 11.16/11.53 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 0, clause( 5, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z
% 11.16/11.53 ) ) ] )
% 11.16/11.53 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y,
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ) ),
% 11.16/11.53 :=( Z, 'tc_Message_Omsg' ), :=( T, 'c_Message_Osynth'( 'v_G' ) )] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 163, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10562, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10563, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K'
% 11.16/11.53 ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'(
% 11.16/11.53 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 6, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X,
% 11.16/11.53 'c_union'( Y, Z, T ), T ) ) ] )
% 11.16/11.53 , 2, clause( 8, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K'
% 11.16/11.53 ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ) ), :=( Y, 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ) ), :=( Z, 'c_Message_Osynth'( 'v_G' ) ), :=( T,
% 11.16/11.53 'tc_Message_Omsg' )] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 191, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' )
% 11.16/11.53 ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'(
% 11.16/11.53 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10563, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'(
% 11.16/11.53 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 11.16/11.53 ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10565, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ),
% 11.16/11.53 ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), Y, 'tc_Message_Omsg' ) ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( Z ) ), Y,
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 64, [ 'c_in'( Z, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ),
% 11.16/11.53 ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ),
% 11.16/11.53 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 2, clause( 3, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ),
% 11.16/11.53 ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 11.16/11.53 substitution( 1, [ :=( X, 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( Z )
% 11.16/11.53 ) ), :=( Y, Y )] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 1757, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( Z )
% 11.16/11.53 ), Y, 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X )
% 11.16/11.53 , Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10565, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 11.16/11.53 , ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), Y, 'tc_Message_Omsg' ) ),
% 11.16/11.53 ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( Z ) ), Y,
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.16/11.53 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10566, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K'
% 11.16/11.53 ) ), 'v_G', 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 121, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_union'( Y,
% 11.16/11.53 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ),
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, clause( 8, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K'
% 11.16/11.53 ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, 'c_Message_OinvKey'( 'v_K' ) ), :=( Y,
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ) ),
% 11.16/11.53 :=( Z, 'v_G' )] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 3038, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' )
% 11.16/11.53 ), 'v_G', 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10566, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'v_G', 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 11.16/11.53 ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10567, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'v_G', 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X'
% 11.16/11.53 ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 124, [ 'c_in'( Y, 'c_Message_Osynth'( T ), 'tc_Message_Omsg' ),
% 11.16/11.53 ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_union'( Z,
% 11.16/11.53 'c_Message_Osynth'( T ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ),
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), T, 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 1, clause( 7, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 11.16/11.53 ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg'
% 11.16/11.53 ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, 'v_K' ), :=( Y, 'v_X' ), :=( Z,
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ) ),
% 11.16/11.53 :=( T, 'v_G' )] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10568, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 162, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 0, clause( 10567, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'v_G', 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X'
% 11.16/11.53 ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 3049, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10568, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 11.16/11.53 ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10569, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 11.16/11.53 ) ), 'tc_Message_Omsg' ) ), 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'(
% 11.16/11.53 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G', 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 1, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) )
% 11.16/11.53 , 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 11.16/11.53 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 2, clause( 3049, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G'
% 11.16/11.53 , 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 1, substitution( 0, [ :=( X, 'v_K' ), :=( Y, 'v_X' ), :=( Z, 'c_union'(
% 11.16/11.53 'v_G', 'v_H', 'tc_Message_Omsg' ) )] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10570, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 11.16/11.53 ) ), 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K',
% 11.16/11.53 'v_X' ), 'v_G', 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 163, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 0, clause( 10569, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 11.16/11.53 ) ), 'tc_Message_Omsg' ) ), 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'(
% 11.16/11.53 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G', 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 3432, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10570, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 11.16/11.53 ) ), 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K',
% 11.16/11.53 'v_X' ), 'v_G', 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 11.16/11.53 ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10571, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 3432, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 1, clause( 191, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'(
% 11.16/11.53 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 3434, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10571, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 11.16/11.53 ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10572, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 3432, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 1, clause( 96, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ),
% 11.16/11.53 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( X ), 'c_Message_Oanalz'( 'c_union'( Y, Z,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), :=( Y, 'v_G' ), :=( Z, 'v_H' )] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10573, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'v_G', 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10572, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Osynth'( 'v_G' ),
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 1, clause( 3434, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G'
% 11.16/11.53 , 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 factor(
% 11.16/11.53 clause( 10574, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10573, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'v_G', 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, 1, substitution( 0, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 3437, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10574, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10575, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 11.16/11.53 'v_G', X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 5, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) )
% 11.16/11.53 ] )
% 11.16/11.53 , 1, clause( 3437, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'v_G'
% 11.16/11.53 , 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ) ),
% 11.16/11.53 :=( Y, 'v_G' ), :=( Z, 'tc_Message_Omsg' ), :=( T, X )] ), substitution(
% 11.16/11.53 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 3521, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 11.16/11.53 'v_G', X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10575, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_union'( 'v_G', X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10576, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_union'( 'v_G', X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' )
% 11.16/11.53 ), 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G', X,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 1757, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( Z
% 11.16/11.53 ) ), Y, 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X
% 11.16/11.53 ), Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 1, clause( 3521, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_union'( 'v_G', X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'c_union'( 'v_G', X,
% 11.16/11.53 'tc_Message_Omsg' ) ), :=( Z, 'v_K' )] ), substitution( 1, [ :=( X, X )] )
% 11.16/11.53 ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 4342, [ 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G', X,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ), 'c_union'( 'v_G',
% 11.16/11.53 X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10576, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_union'( 'v_G', X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' )
% 11.16/11.53 ), 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G', X,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 11.16/11.53 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10577, [ 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G', X,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 4342, [ 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G', X,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ), 'c_union'( 'v_G',
% 11.16/11.53 X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 1, clause( 5, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z
% 11.16/11.53 ) ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ) ), :=( Y, 'v_G' ),
% 11.16/11.53 :=( Z, 'tc_Message_Omsg' ), :=( T, X )] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 4362, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'v_G', 'tc_Message_Omsg' ) ), 'c_in'( 'v_X',
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', X, 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10577, [ 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G', X,
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' ) ), 'v_G',
% 11.16/11.53 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 11.16/11.53 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10578, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'v_G', 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 163, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 0, clause( 4362, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'v_G', 'tc_Message_Omsg' ) ), 'c_in'( 'v_X',
% 11.16/11.53 'c_Message_Oanalz'( 'c_union'( 'v_G', X, 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_H' )] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 4532, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'v_G', 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10578, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'v_G', 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10579, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K'
% 11.16/11.53 ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) )
% 11.16/11.53 , 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 4532, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'v_G', 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 0, clause( 3038, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'v_G', 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'(
% 11.16/11.53 'c_Message_OinvKey'( 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 5008, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'v_K' )
% 11.16/11.53 ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 11.16/11.53 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 10579, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 11.16/11.53 ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10580, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( 'v_K', X ), 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 64, [ 'c_in'( Z, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ),
% 11.16/11.53 ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), ~(
% 11.16/11.53 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ),
% 11.16/11.53 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 2, clause( 5008, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 11.16/11.53 'v_K' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 11.16/11.53 ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, 'v_K' ), :=( Y, 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), :=( Z, X )] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 5037, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( 'v_K', X ), 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , clause( 10580, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( 'v_K', X ), 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 11.16/11.53 1 )] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10581, [ 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H'
% 11.16/11.53 , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , clause( 5037, [ 'c_in'( X, 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), ~( 'c_in'(
% 11.16/11.53 'c_Message_Omsg_OCrypt'( 'v_K', X ), 'c_union'( 'v_G', 'v_H',
% 11.16/11.53 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 1, clause( 3521, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 11.16/11.53 'c_union'( 'v_G', X, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, substitution( 0, [ :=( X, 'v_X' )] ), substitution( 1, [ :=( X, 'v_H'
% 11.16/11.53 )] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 resolution(
% 11.16/11.53 clause( 10582, [] )
% 11.16/11.53 , clause( 163, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 11.16/11.53 , 0, clause( 10581, [ 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 11.16/11.53 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 11.16/11.53 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 subsumption(
% 11.16/11.53 clause( 10528, [] )
% 11.16/11.53 , clause( 10582, [] )
% 11.16/11.53 , substitution( 0, [] ), permutation( 0, [] ) ).
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 end.
% 11.16/11.53
% 11.16/11.53 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 11.16/11.53
% 11.16/11.53 Memory use:
% 11.16/11.53
% 11.16/11.53 space for terms: 179767
% 11.16/11.53 space for clauses: 743000
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 clauses generated: 1337622
% 11.16/11.53 clauses kept: 10529
% 11.16/11.53 clauses selected: 5889
% 11.16/11.53 clauses deleted: 94
% 11.16/11.53 clauses inuse deleted: 84
% 11.16/11.53
% 11.16/11.53 subsentry: 736454
% 11.16/11.53 literals s-matched: 531338
% 11.16/11.53 literals matched: 524747
% 11.16/11.53 full subsumption: 3072
% 11.16/11.53
% 11.16/11.53 checksum: 412014133
% 11.16/11.53
% 11.16/11.53
% 11.16/11.53 Bliksem ended
%------------------------------------------------------------------------------