TSTP Solution File: SWV272-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 16:23:28 EDT 2022
% Result : Unsatisfiable 0.78s 1.16s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 15 17:01:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.78/1.16 *** allocated 10000 integers for termspace/termends
% 0.78/1.16 *** allocated 10000 integers for clauses
% 0.78/1.16 *** allocated 10000 integers for justifications
% 0.78/1.16 Bliksem 1.12
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Automatic Strategy Selection
% 0.78/1.16
% 0.78/1.16 Clauses:
% 0.78/1.16 [
% 0.78/1.16 [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ],
% 0.78/1.16 [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 0.78/1.16 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ),
% 0.78/1.16 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z,
% 0.78/1.16 'tc_Message_Omsg' ) ],
% 0.78/1.16 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.78/1.16 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.78/1.16 'tc_Message_Omsg' ) ],
% 0.78/1.16 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'(
% 0.78/1.16 Y ), 'tc_Message_Omsg' ) ],
% 0.78/1.16 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 0.78/1.16 X, Y, T ) ],
% 0.78/1.16 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.78/1.16 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ]
% 0.78/1.16 ] .
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 percentage equality = 0.000000, percentage horn = 0.750000
% 0.78/1.16 This a non-horn, non-equality problem
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Options Used:
% 0.78/1.16
% 0.78/1.16 useres = 1
% 0.78/1.16 useparamod = 0
% 0.78/1.16 useeqrefl = 0
% 0.78/1.16 useeqfact = 0
% 0.78/1.16 usefactor = 1
% 0.78/1.16 usesimpsplitting = 0
% 0.78/1.16 usesimpdemod = 0
% 0.78/1.16 usesimpres = 3
% 0.78/1.16
% 0.78/1.16 resimpinuse = 1000
% 0.78/1.16 resimpclauses = 20000
% 0.78/1.16 substype = standard
% 0.78/1.16 backwardsubs = 1
% 0.78/1.16 selectoldest = 5
% 0.78/1.16
% 0.78/1.16 litorderings [0] = split
% 0.78/1.16 litorderings [1] = liftord
% 0.78/1.16
% 0.78/1.16 termordering = none
% 0.78/1.16
% 0.78/1.16 litapriori = 1
% 0.78/1.16 termapriori = 0
% 0.78/1.16 litaposteriori = 0
% 0.78/1.16 termaposteriori = 0
% 0.78/1.16 demodaposteriori = 0
% 0.78/1.16 ordereqreflfact = 0
% 0.78/1.16
% 0.78/1.16 litselect = none
% 0.78/1.16
% 0.78/1.16 maxweight = 15
% 0.78/1.16 maxdepth = 30000
% 0.78/1.16 maxlength = 115
% 0.78/1.16 maxnrvars = 195
% 0.78/1.16 excuselevel = 1
% 0.78/1.16 increasemaxweight = 1
% 0.78/1.16
% 0.78/1.16 maxselected = 10000000
% 0.78/1.16 maxnrclauses = 10000000
% 0.78/1.16
% 0.78/1.16 showgenerated = 0
% 0.78/1.16 showkept = 0
% 0.78/1.16 showselected = 0
% 0.78/1.16 showdeleted = 0
% 0.78/1.16 showresimp = 1
% 0.78/1.16 showstatus = 2000
% 0.78/1.16
% 0.78/1.16 prologoutput = 1
% 0.78/1.16 nrgoals = 5000000
% 0.78/1.16 totalproof = 1
% 0.78/1.16
% 0.78/1.16 Symbols occurring in the translation:
% 0.78/1.16
% 0.78/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.16 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.78/1.16 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.78/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.16 'v_K' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.78/1.16 'v_X' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.78/1.16 'c_Message_Omsg_OCrypt' [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.78/1.16 'v_H' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.78/1.16 'c_Message_Oparts' [43, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.78/1.16 'c_Message_Osynth' [44, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.78/1.16 'tc_Message_Omsg' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.78/1.16 'c_union' [46, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.78/1.16 'c_in' [47, 3] (w:1, o:54, a:1, s:1, b:0).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Starting Search:
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Bliksems!, er is een bewijs:
% 0.78/1.16 % SZS status Unsatisfiable
% 0.78/1.16 % SZS output start Refutation
% 0.78/1.16
% 0.78/1.16 clause( 0, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.78/1.16 )
% 0.78/1.16 .
% 0.78/1.16 clause( 2, [ 'c_in'( Y, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ),
% 0.78/1.16 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ), ~(
% 0.78/1.16 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 3, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.78/1.16 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 4, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.78/1.16 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 5, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_union'(
% 0.78/1.16 Y, Z, T ), T ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 6, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.78/1.16 )
% 0.78/1.16 .
% 0.78/1.16 clause( 7, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.78/1.16 )
% 0.78/1.16 .
% 0.78/1.16 clause( 15, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 27, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 60, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 70, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ), 'v_H',
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 71, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 93, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 104, [] )
% 0.78/1.16 .
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 % SZS output end Refutation
% 0.78/1.16 found a proof!
% 0.78/1.16
% 0.78/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.16
% 0.78/1.16 initialclauses(
% 0.78/1.16 [ clause( 106, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , clause( 107, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , clause( 108, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.78/1.16 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.78/1.16 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'(
% 0.78/1.16 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , clause( 109, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.78/1.16 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.78/1.16 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , clause( 110, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.78/1.16 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , clause( 111, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.78/1.16 ), 'c_in'( X, Y, T ) ] )
% 0.78/1.16 , clause( 112, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z
% 0.78/1.16 ) ] )
% 0.78/1.16 , clause( 113, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z
% 0.78/1.16 ) ] )
% 0.78/1.16 ] ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 0, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , clause( 106, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_union'(
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , clause( 107, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 2, [ 'c_in'( Y, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ),
% 0.78/1.16 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ), ~(
% 0.78/1.16 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 108, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.78/1.16 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.78/1.16 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'(
% 0.78/1.16 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 3, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.78/1.16 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 109, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 0.78/1.16 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.78/1.16 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 4, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.78/1.16 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 110, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.78/1.16 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.78/1.16 ), ==>( 1, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 5, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_union'(
% 0.78/1.16 Y, Z, T ), T ) ) ] )
% 0.78/1.16 , clause( 111, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.78/1.16 ), 'c_in'( X, Y, T ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 6, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , clause( 112, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z
% 0.78/1.16 ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 7, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , clause( 113, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z
% 0.78/1.16 ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 resolution(
% 0.78/1.16 clause( 117, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , 0, clause( 7, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z
% 0.78/1.16 ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y,
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ) ), :=( Z, 'tc_Message_Omsg' ), :=( T,
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ) )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 15, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 117, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 resolution(
% 0.78/1.16 clause( 118, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , 0, clause( 6, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z
% 0.78/1.16 ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y,
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ) ), :=( Z, 'tc_Message_Omsg' ), :=( T,
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ) )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 27, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 118, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 resolution(
% 0.78/1.16 clause( 119, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 27, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , 0, clause( 3, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ),
% 0.78/1.16 ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, 'v_X' ),
% 0.78/1.16 :=( Z, 'v_H' )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 60, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 119, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 resolution(
% 0.78/1.16 clause( 120, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ), 'v_H',
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 60, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , 0, clause( 4, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 0.78/1.16 ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.78/1.16 'c_Message_Omsg_OCrypt'( X, 'v_X' ) ), :=( Y, 'v_H' )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 70, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ), 'v_H',
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 120, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ), 'v_H',
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 resolution(
% 0.78/1.16 clause( 121, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 70, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ), 'v_H',
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , 0, clause( 2, [ 'c_in'( Y, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ),
% 0.78/1.16 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ), ~(
% 0.78/1.16 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.78/1.16 , 'v_X' ), :=( Z, 'v_H' )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 resolution(
% 0.78/1.16 clause( 122, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 15, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , 0, clause( 121, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 71, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , clause( 122, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 resolution(
% 0.78/1.16 clause( 123, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.78/1.16 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , clause( 5, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X,
% 0.78/1.16 'c_union'( Y, Z, T ), T ) ) ] )
% 0.78/1.16 , 2, clause( 0, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 0.78/1.16 'c_union'( 'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ) ),
% 0.78/1.16 :=( Y, 'c_Message_Oparts'( 'v_H' ) ), :=( Z, 'c_Message_Osynth'( 'v_H' )
% 0.78/1.16 ), :=( T, 'tc_Message_Omsg' )] ), substitution( 1, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 resolution(
% 0.78/1.16 clause( 124, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , clause( 71, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , 0, clause( 123, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 0.78/1.16 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.78/1.16 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ), 'c_Message_Oparts'( 'v_H' ),
% 0.78/1.16 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, 'v_K' )] ), substitution( 1, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 93, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , clause( 124, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 resolution(
% 0.78/1.16 clause( 125, [] )
% 0.78/1.16 , clause( 60, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.78/1.16 , 0, clause( 93, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'v_X' ),
% 0.78/1.16 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, 'v_K' )] ), substitution( 1, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 104, [] )
% 0.78/1.16 , clause( 125, [] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 end.
% 0.78/1.16
% 0.78/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.16
% 0.78/1.16 Memory use:
% 0.78/1.16
% 0.78/1.16 space for terms: 1822
% 0.78/1.16 space for clauses: 6963
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 clauses generated: 175
% 0.78/1.16 clauses kept: 105
% 0.78/1.16 clauses selected: 21
% 0.78/1.16 clauses deleted: 1
% 0.78/1.16 clauses inuse deleted: 0
% 0.78/1.16
% 0.78/1.16 subsentry: 242
% 0.78/1.16 literals s-matched: 207
% 0.78/1.16 literals matched: 207
% 0.78/1.16 full subsumption: 28
% 0.78/1.16
% 0.78/1.16 checksum: -172587749
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Bliksem ended
%------------------------------------------------------------------------------