TSTP Solution File: SWV253-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV253-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 16:23:14 EDT 2022
% Result : Unsatisfiable 0.43s 1.05s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV253-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Wed Jun 15 19:07:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.43/1.05 *** allocated 10000 integers for termspace/termends
% 0.43/1.05 *** allocated 10000 integers for clauses
% 0.43/1.05 *** allocated 10000 integers for justifications
% 0.43/1.05 Bliksem 1.12
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Automatic Strategy Selection
% 0.43/1.05
% 0.43/1.05 Clauses:
% 0.43/1.05 [
% 0.43/1.05 [ ~( =( 'v_K', 'v_K_H' ) ), ~( =( 'c_Message_OinvKey'( 'v_K' ),
% 0.43/1.05 'c_Message_OinvKey'( 'v_K_H' ) ) ) ],
% 0.43/1.05 [ =( 'c_Message_OinvKey'( 'v_K' ), 'c_Message_OinvKey'( 'v_K_H' ) ), =(
% 0.43/1.05 'v_K', 'v_K_H' ) ],
% 0.43/1.05 [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ]
% 0.43/1.05 ] .
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 percentage equality = 1.000000, percentage horn = 0.666667
% 0.43/1.05 This is a pure equality problem
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Options Used:
% 0.43/1.05
% 0.43/1.05 useres = 1
% 0.43/1.05 useparamod = 1
% 0.43/1.05 useeqrefl = 1
% 0.43/1.05 useeqfact = 1
% 0.43/1.05 usefactor = 1
% 0.43/1.05 usesimpsplitting = 0
% 0.43/1.05 usesimpdemod = 5
% 0.43/1.05 usesimpres = 3
% 0.43/1.05
% 0.43/1.05 resimpinuse = 1000
% 0.43/1.05 resimpclauses = 20000
% 0.43/1.05 substype = eqrewr
% 0.43/1.05 backwardsubs = 1
% 0.43/1.05 selectoldest = 5
% 0.43/1.05
% 0.43/1.05 litorderings [0] = split
% 0.43/1.05 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.05
% 0.43/1.05 termordering = kbo
% 0.43/1.05
% 0.43/1.05 litapriori = 0
% 0.43/1.05 termapriori = 1
% 0.43/1.05 litaposteriori = 0
% 0.43/1.05 termaposteriori = 0
% 0.43/1.05 demodaposteriori = 0
% 0.43/1.05 ordereqreflfact = 0
% 0.43/1.05
% 0.43/1.05 litselect = negord
% 0.43/1.05
% 0.43/1.05 maxweight = 15
% 0.43/1.05 maxdepth = 30000
% 0.43/1.05 maxlength = 115
% 0.43/1.05 maxnrvars = 195
% 0.43/1.05 excuselevel = 1
% 0.43/1.05 increasemaxweight = 1
% 0.43/1.05
% 0.43/1.05 maxselected = 10000000
% 0.43/1.05 maxnrclauses = 10000000
% 0.43/1.05
% 0.43/1.05 showgenerated = 0
% 0.43/1.05 showkept = 0
% 0.43/1.05 showselected = 0
% 0.43/1.05 showdeleted = 0
% 0.43/1.05 showresimp = 1
% 0.43/1.05 showstatus = 2000
% 0.43/1.05
% 0.43/1.05 prologoutput = 1
% 0.43/1.05 nrgoals = 5000000
% 0.43/1.05 totalproof = 1
% 0.43/1.05
% 0.43/1.05 Symbols occurring in the translation:
% 0.43/1.05
% 0.43/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.05 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 0.43/1.05 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 0.43/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.05 'v_K' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.05 'v_K_H' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.43/1.05 'c_Message_OinvKey' [41, 1] (w:1, o:17, a:1, s:1, b:0).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Starting Search:
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Bliksems!, er is een bewijs:
% 0.43/1.05 % SZS status Unsatisfiable
% 0.43/1.05 % SZS output start Refutation
% 0.43/1.05
% 0.43/1.05 clause( 0, [ ~( =( 'v_K_H', 'v_K' ) ), ~( =( 'c_Message_OinvKey'( 'v_K_H' )
% 0.43/1.05 , 'c_Message_OinvKey'( 'v_K' ) ) ) ] )
% 0.43/1.05 .
% 0.43/1.05 clause( 1, [ =( 'c_Message_OinvKey'( 'v_K_H' ), 'c_Message_OinvKey'( 'v_K'
% 0.43/1.05 ) ), =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 .
% 0.43/1.05 clause( 2, [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ] )
% 0.43/1.05 .
% 0.43/1.05 clause( 3, [ =( 'v_K_H', 'v_K' ), =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 .
% 0.43/1.05 clause( 4, [ =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 .
% 0.43/1.05 clause( 5, [] )
% 0.43/1.05 .
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 % SZS output end Refutation
% 0.43/1.05 found a proof!
% 0.43/1.05
% 0.43/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.05
% 0.43/1.05 initialclauses(
% 0.43/1.05 [ clause( 7, [ ~( =( 'v_K', 'v_K_H' ) ), ~( =( 'c_Message_OinvKey'( 'v_K' )
% 0.43/1.05 , 'c_Message_OinvKey'( 'v_K_H' ) ) ) ] )
% 0.43/1.05 , clause( 8, [ =( 'c_Message_OinvKey'( 'v_K' ), 'c_Message_OinvKey'(
% 0.43/1.05 'v_K_H' ) ), =( 'v_K', 'v_K_H' ) ] )
% 0.43/1.05 , clause( 9, [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ] )
% 0.43/1.05 ] ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 11, [ ~( =( 'c_Message_OinvKey'( 'v_K_H' ), 'c_Message_OinvKey'(
% 0.43/1.05 'v_K' ) ) ), ~( =( 'v_K', 'v_K_H' ) ) ] )
% 0.43/1.05 , clause( 7, [ ~( =( 'v_K', 'v_K_H' ) ), ~( =( 'c_Message_OinvKey'( 'v_K' )
% 0.43/1.05 , 'c_Message_OinvKey'( 'v_K_H' ) ) ) ] )
% 0.43/1.05 , 1, substitution( 0, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 12, [ ~( =( 'v_K_H', 'v_K' ) ), ~( =( 'c_Message_OinvKey'( 'v_K_H'
% 0.43/1.05 ), 'c_Message_OinvKey'( 'v_K' ) ) ) ] )
% 0.43/1.05 , clause( 11, [ ~( =( 'c_Message_OinvKey'( 'v_K_H' ), 'c_Message_OinvKey'(
% 0.43/1.05 'v_K' ) ) ), ~( =( 'v_K', 'v_K_H' ) ) ] )
% 0.43/1.05 , 1, substitution( 0, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 0, [ ~( =( 'v_K_H', 'v_K' ) ), ~( =( 'c_Message_OinvKey'( 'v_K_H' )
% 0.43/1.05 , 'c_Message_OinvKey'( 'v_K' ) ) ) ] )
% 0.43/1.05 , clause( 12, [ ~( =( 'v_K_H', 'v_K' ) ), ~( =( 'c_Message_OinvKey'(
% 0.43/1.05 'v_K_H' ), 'c_Message_OinvKey'( 'v_K' ) ) ) ] )
% 0.43/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.05 ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 17, [ =( 'v_K_H', 'v_K' ), =( 'c_Message_OinvKey'( 'v_K' ),
% 0.43/1.05 'c_Message_OinvKey'( 'v_K_H' ) ) ] )
% 0.43/1.05 , clause( 8, [ =( 'c_Message_OinvKey'( 'v_K' ), 'c_Message_OinvKey'(
% 0.43/1.05 'v_K_H' ) ), =( 'v_K', 'v_K_H' ) ] )
% 0.43/1.05 , 1, substitution( 0, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 18, [ =( 'c_Message_OinvKey'( 'v_K_H' ), 'c_Message_OinvKey'( 'v_K'
% 0.43/1.05 ) ), =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , clause( 17, [ =( 'v_K_H', 'v_K' ), =( 'c_Message_OinvKey'( 'v_K' ),
% 0.43/1.05 'c_Message_OinvKey'( 'v_K_H' ) ) ] )
% 0.43/1.05 , 1, substitution( 0, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 1, [ =( 'c_Message_OinvKey'( 'v_K_H' ), 'c_Message_OinvKey'( 'v_K'
% 0.43/1.05 ) ), =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , clause( 18, [ =( 'c_Message_OinvKey'( 'v_K_H' ), 'c_Message_OinvKey'(
% 0.43/1.05 'v_K' ) ), =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.05 ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 2, [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ] )
% 0.43/1.05 , clause( 9, [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ] )
% 0.43/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 27, [ =( 'v_K', 'v_K_H' ), =( 'c_Message_OinvKey'( 'v_K_H' ),
% 0.43/1.05 'c_Message_OinvKey'( 'v_K' ) ) ] )
% 0.43/1.05 , clause( 1, [ =( 'c_Message_OinvKey'( 'v_K_H' ), 'c_Message_OinvKey'(
% 0.43/1.05 'v_K' ) ), =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , 1, substitution( 0, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 29, [ =( X, 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ) ) ] )
% 0.43/1.05 , clause( 2, [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 31, [ =( 'v_K_H', 'c_Message_OinvKey'( 'c_Message_OinvKey'( 'v_K' )
% 0.43/1.05 ) ), =( 'v_K', 'v_K_H' ) ] )
% 0.43/1.05 , clause( 27, [ =( 'v_K', 'v_K_H' ), =( 'c_Message_OinvKey'( 'v_K_H' ),
% 0.43/1.05 'c_Message_OinvKey'( 'v_K' ) ) ] )
% 0.43/1.05 , 1, clause( 29, [ =( X, 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ) )
% 0.43/1.05 ] )
% 0.43/1.05 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_K_H' )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 32, [ =( 'v_K_H', 'v_K' ), =( 'v_K', 'v_K_H' ) ] )
% 0.43/1.05 , clause( 2, [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ] )
% 0.43/1.05 , 0, clause( 31, [ =( 'v_K_H', 'c_Message_OinvKey'( 'c_Message_OinvKey'(
% 0.43/1.05 'v_K' ) ) ), =( 'v_K', 'v_K_H' ) ] )
% 0.43/1.05 , 0, 2, substitution( 0, [ :=( X, 'v_K' )] ), substitution( 1, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 34, [ =( 'v_K_H', 'v_K' ), =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , clause( 32, [ =( 'v_K_H', 'v_K' ), =( 'v_K', 'v_K_H' ) ] )
% 0.43/1.05 , 1, substitution( 0, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 3, [ =( 'v_K_H', 'v_K' ), =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , clause( 34, [ =( 'v_K_H', 'v_K' ), =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] )
% 0.43/1.05 ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 factor(
% 0.43/1.05 clause( 37, [ =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , clause( 3, [ =( 'v_K_H', 'v_K' ), =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , 0, 1, substitution( 0, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 4, [ =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , clause( 37, [ =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 44, [ ~( =( 'c_Message_OinvKey'( 'v_K' ), 'c_Message_OinvKey'(
% 0.43/1.05 'v_K' ) ) ), ~( =( 'v_K_H', 'v_K' ) ) ] )
% 0.43/1.05 , clause( 4, [ =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , 0, clause( 0, [ ~( =( 'v_K_H', 'v_K' ) ), ~( =( 'c_Message_OinvKey'(
% 0.43/1.05 'v_K_H' ), 'c_Message_OinvKey'( 'v_K' ) ) ) ] )
% 0.43/1.05 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqrefl(
% 0.43/1.05 clause( 46, [ ~( =( 'v_K_H', 'v_K' ) ) ] )
% 0.43/1.05 , clause( 44, [ ~( =( 'c_Message_OinvKey'( 'v_K' ), 'c_Message_OinvKey'(
% 0.43/1.05 'v_K' ) ) ), ~( =( 'v_K_H', 'v_K' ) ) ] )
% 0.43/1.05 , 0, substitution( 0, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 47, [ ~( =( 'v_K', 'v_K' ) ) ] )
% 0.43/1.05 , clause( 4, [ =( 'v_K_H', 'v_K' ) ] )
% 0.43/1.05 , 0, clause( 46, [ ~( =( 'v_K_H', 'v_K' ) ) ] )
% 0.43/1.05 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqrefl(
% 0.43/1.05 clause( 48, [] )
% 0.43/1.05 , clause( 47, [ ~( =( 'v_K', 'v_K' ) ) ] )
% 0.43/1.05 , 0, substitution( 0, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 5, [] )
% 0.43/1.05 , clause( 48, [] )
% 0.43/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 end.
% 0.43/1.05
% 0.43/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.05
% 0.43/1.05 Memory use:
% 0.43/1.05
% 0.43/1.05 space for terms: 101
% 0.43/1.05 space for clauses: 390
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 clauses generated: 23
% 0.43/1.05 clauses kept: 6
% 0.43/1.05 clauses selected: 3
% 0.43/1.05 clauses deleted: 2
% 0.43/1.05 clauses inuse deleted: 0
% 0.43/1.05
% 0.43/1.05 subsentry: 266
% 0.43/1.05 literals s-matched: 92
% 0.43/1.05 literals matched: 92
% 0.43/1.05 full subsumption: 0
% 0.43/1.05
% 0.43/1.05 checksum: 340957
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 Bliksem ended
%------------------------------------------------------------------------------