TSTP Solution File: SWV339-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV339-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:24:15 EDT 2022
% Result : Unsatisfiable 0.71s 1.07s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV339-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 10:11:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.07 *** allocated 10000 integers for termspace/termends
% 0.71/1.07 *** allocated 10000 integers for clauses
% 0.71/1.07 *** allocated 10000 integers for justifications
% 0.71/1.07 Bliksem 1.12
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Automatic Strategy Selection
% 0.71/1.07
% 0.71/1.07 Clauses:
% 0.71/1.07 [
% 0.71/1.07 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( 'v_evs3' )
% 0.71/1.07 , 'tc_Message_Omsg' ) ) ],
% 0.71/1.07 [ =( 'v_K', 'c_Public_OshrK'( 'v_B' ) ), =( 'v_K', 'c_Public_OshrK'(
% 0.71/1.07 'v_A' ) ) ],
% 0.71/1.07 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ]
% 0.71/1.07 ] .
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 percentage equality = 0.500000, percentage horn = 0.666667
% 0.71/1.07 This is a problem with some equality
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Options Used:
% 0.71/1.07
% 0.71/1.07 useres = 1
% 0.71/1.07 useparamod = 1
% 0.71/1.07 useeqrefl = 1
% 0.71/1.07 useeqfact = 1
% 0.71/1.07 usefactor = 1
% 0.71/1.07 usesimpsplitting = 0
% 0.71/1.07 usesimpdemod = 5
% 0.71/1.07 usesimpres = 3
% 0.71/1.07
% 0.71/1.07 resimpinuse = 1000
% 0.71/1.07 resimpclauses = 20000
% 0.71/1.07 substype = eqrewr
% 0.71/1.07 backwardsubs = 1
% 0.71/1.07 selectoldest = 5
% 0.71/1.07
% 0.71/1.07 litorderings [0] = split
% 0.71/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.07
% 0.71/1.07 termordering = kbo
% 0.71/1.07
% 0.71/1.07 litapriori = 0
% 0.71/1.07 termapriori = 1
% 0.71/1.07 litaposteriori = 0
% 0.71/1.07 termaposteriori = 0
% 0.71/1.07 demodaposteriori = 0
% 0.71/1.07 ordereqreflfact = 0
% 0.71/1.07
% 0.71/1.07 litselect = negord
% 0.71/1.07
% 0.71/1.07 maxweight = 15
% 0.71/1.07 maxdepth = 30000
% 0.71/1.07 maxlength = 115
% 0.71/1.07 maxnrvars = 195
% 0.71/1.07 excuselevel = 1
% 0.71/1.07 increasemaxweight = 1
% 0.71/1.07
% 0.71/1.07 maxselected = 10000000
% 0.71/1.07 maxnrclauses = 10000000
% 0.71/1.07
% 0.71/1.07 showgenerated = 0
% 0.71/1.07 showkept = 0
% 0.71/1.07 showselected = 0
% 0.71/1.07 showdeleted = 0
% 0.71/1.07 showresimp = 1
% 0.71/1.07 showstatus = 2000
% 0.71/1.07
% 0.71/1.07 prologoutput = 1
% 0.71/1.07 nrgoals = 5000000
% 0.71/1.07 totalproof = 1
% 0.71/1.07
% 0.71/1.07 Symbols occurring in the translation:
% 0.71/1.07
% 0.71/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.07 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.07 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.71/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.07 'v_K' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.07 'c_Message_Omsg_OKey' [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.07 'v_evs3' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.07 'c_Event_Oused' [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.07 'tc_Message_Omsg' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.71/1.07 'c_in' [44, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.07 'v_B' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.07 'c_Public_OshrK' [46, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.07 'v_A' [47, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Starting Search:
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Bliksems!, er is een bewijs:
% 0.71/1.07 % SZS status Unsatisfiable
% 0.71/1.07 % SZS output start Refutation
% 0.71/1.07
% 0.71/1.07 clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.71/1.07 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 1, [ =( 'c_Public_OshrK'( 'v_B' ), 'v_K' ), =( 'c_Public_OshrK'(
% 0.71/1.07 'v_A' ), 'v_K' ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 2, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 3, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X ),
% 0.71/1.07 'tc_Message_Omsg' ), =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 6, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X ),
% 0.71/1.07 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 7, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X ),
% 0.71/1.07 'tc_Message_Omsg' ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 8, [] )
% 0.71/1.07 .
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 % SZS output end Refutation
% 0.71/1.07 found a proof!
% 0.71/1.07
% 0.71/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.07
% 0.71/1.07 initialclauses(
% 0.71/1.07 [ clause( 10, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.71/1.07 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.07 , clause( 11, [ =( 'v_K', 'c_Public_OshrK'( 'v_B' ) ), =( 'v_K',
% 0.71/1.07 'c_Public_OshrK'( 'v_A' ) ) ] )
% 0.71/1.07 , clause( 12, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 ] ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.71/1.07 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.07 , clause( 10, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.71/1.07 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 14, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ), =( 'v_K',
% 0.71/1.07 'c_Public_OshrK'( 'v_B' ) ) ] )
% 0.71/1.07 , clause( 11, [ =( 'v_K', 'c_Public_OshrK'( 'v_B' ) ), =( 'v_K',
% 0.71/1.07 'c_Public_OshrK'( 'v_A' ) ) ] )
% 0.71/1.07 , 1, substitution( 0, [] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 15, [ =( 'c_Public_OshrK'( 'v_B' ), 'v_K' ), =( 'c_Public_OshrK'(
% 0.71/1.07 'v_A' ), 'v_K' ) ] )
% 0.71/1.07 , clause( 14, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ), =( 'v_K',
% 0.71/1.07 'c_Public_OshrK'( 'v_B' ) ) ] )
% 0.71/1.07 , 1, substitution( 0, [] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 1, [ =( 'c_Public_OshrK'( 'v_B' ), 'v_K' ), =( 'c_Public_OshrK'(
% 0.71/1.07 'v_A' ), 'v_K' ) ] )
% 0.71/1.07 , clause( 15, [ =( 'c_Public_OshrK'( 'v_B' ), 'v_K' ), =( 'c_Public_OshrK'(
% 0.71/1.07 'v_A' ), 'v_K' ) ] )
% 0.71/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.07 ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 2, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , clause( 12, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.07 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 20, [ =( 'v_K', 'c_Public_OshrK'( 'v_A' ) ), =( 'c_Public_OshrK'(
% 0.71/1.07 'v_B' ), 'v_K' ) ] )
% 0.71/1.07 , clause( 1, [ =( 'c_Public_OshrK'( 'v_B' ), 'v_K' ), =( 'c_Public_OshrK'(
% 0.71/1.07 'v_A' ), 'v_K' ) ] )
% 0.71/1.07 , 1, substitution( 0, [] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 paramod(
% 0.71/1.07 clause( 24, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X )
% 0.71/1.07 , 'tc_Message_Omsg' ), =( 'v_K', 'c_Public_OshrK'( 'v_A' ) ) ] )
% 0.71/1.07 , clause( 20, [ =( 'v_K', 'c_Public_OshrK'( 'v_A' ) ), =( 'c_Public_OshrK'(
% 0.71/1.07 'v_B' ), 'v_K' ) ] )
% 0.71/1.07 , 1, clause( 2, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_B' ), :=( Y, X
% 0.71/1.07 )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 25, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ), 'c_in'(
% 0.71/1.07 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X ), 'tc_Message_Omsg' )
% 0.71/1.07 ] )
% 0.71/1.07 , clause( 24, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X
% 0.71/1.07 ), 'tc_Message_Omsg' ), =( 'v_K', 'c_Public_OshrK'( 'v_A' ) ) ] )
% 0.71/1.07 , 1, substitution( 0, [ :=( X, X )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 3, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X ),
% 0.71/1.07 'tc_Message_Omsg' ), =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.71/1.07 , clause( 25, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ), 'c_in'(
% 0.71/1.07 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X ), 'tc_Message_Omsg' )
% 0.71/1.07 ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.07 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 paramod(
% 0.71/1.07 clause( 27, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X )
% 0.71/1.07 , 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , clause( 3, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X )
% 0.71/1.07 , 'tc_Message_Omsg' ), =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.71/1.07 , 1, clause( 2, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , 0, 2, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, 'v_A' )
% 0.71/1.07 , :=( Y, X )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 6, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X ),
% 0.71/1.07 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , clause( 27, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X
% 0.71/1.07 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.07 ), ==>( 1, 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 factor(
% 0.71/1.07 clause( 29, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X )
% 0.71/1.07 , 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , clause( 6, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X )
% 0.71/1.07 , 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 0.71/1.07 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 7, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X ),
% 0.71/1.07 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , clause( 29, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'( X
% 0.71/1.07 ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 resolution(
% 0.71/1.07 clause( 30, [] )
% 0.71/1.07 , clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.71/1.07 'v_evs3' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.07 , 0, clause( 7, [ 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oused'(
% 0.71/1.07 X ), 'tc_Message_Omsg' ) ] )
% 0.71/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_evs3' )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 8, [] )
% 0.71/1.07 , clause( 30, [] )
% 0.71/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 end.
% 0.71/1.07
% 0.71/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.07
% 0.71/1.07 Memory use:
% 0.71/1.07
% 0.71/1.07 space for terms: 129
% 0.71/1.07 space for clauses: 509
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 clauses generated: 24
% 0.71/1.07 clauses kept: 9
% 0.71/1.07 clauses selected: 6
% 0.71/1.07 clauses deleted: 1
% 0.71/1.07 clauses inuse deleted: 0
% 0.71/1.07
% 0.71/1.07 subsentry: 110
% 0.71/1.07 literals s-matched: 36
% 0.71/1.07 literals matched: 36
% 0.71/1.07 full subsumption: 0
% 0.71/1.07
% 0.71/1.07 checksum: -2062477950
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Bliksem ended
%------------------------------------------------------------------------------