TSTP Solution File: REL049-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL049-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 : Mon Jul 18 19:01:30 EDT 2022
% Result : Unsatisfiable 0.68s 1.09s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL049-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.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 : Fri Jul 8 10:08:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.09 *** allocated 10000 integers for termspace/termends
% 0.68/1.09 *** allocated 10000 integers for clauses
% 0.68/1.09 *** allocated 10000 integers for justifications
% 0.68/1.09 Bliksem 1.12
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Automatic Strategy Selection
% 0.68/1.09
% 0.68/1.09 Clauses:
% 0.68/1.09 [
% 0.68/1.09 [ =( join( X, Y ), join( Y, X ) ) ],
% 0.68/1.09 [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ],
% 0.68/1.09 [ =( X, join( complement( join( complement( X ), complement( Y ) ) ),
% 0.68/1.09 complement( join( complement( X ), Y ) ) ) ) ],
% 0.68/1.09 [ =( meet( X, Y ), complement( join( complement( X ), complement( Y ) )
% 0.68/1.09 ) ) ],
% 0.68/1.09 [ =( composition( X, composition( Y, Z ) ), composition( composition( X
% 0.68/1.09 , Y ), Z ) ) ],
% 0.68/1.09 [ =( composition( X, one ), X ) ],
% 0.68/1.09 [ =( composition( join( X, Y ), Z ), join( composition( X, Z ),
% 0.68/1.09 composition( Y, Z ) ) ) ],
% 0.68/1.09 [ =( converse( converse( X ) ), X ) ],
% 0.68/1.09 [ =( converse( join( X, Y ) ), join( converse( X ), converse( Y ) ) ) ]
% 0.68/1.09 ,
% 0.68/1.09 [ =( converse( composition( X, Y ) ), composition( converse( Y ),
% 0.68/1.09 converse( X ) ) ) ],
% 0.68/1.09 [ =( join( composition( converse( X ), complement( composition( X, Y ) )
% 0.68/1.09 ), complement( Y ) ), complement( Y ) ) ],
% 0.68/1.09 [ =( top, join( X, complement( X ) ) ) ],
% 0.68/1.09 [ =( zero, meet( X, complement( X ) ) ) ],
% 0.68/1.09 [ =( join( sk1, sk2 ), sk2 ) ],
% 0.68/1.09 [ =( join( sk3, sk2 ), sk2 ) ],
% 0.68/1.09 [ ~( =( join( join( sk1, sk3 ), sk2 ), sk2 ) ) ]
% 0.68/1.09 ] .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.68/1.09 This is a pure equality problem
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Options Used:
% 0.68/1.09
% 0.68/1.09 useres = 1
% 0.68/1.09 useparamod = 1
% 0.68/1.09 useeqrefl = 1
% 0.68/1.09 useeqfact = 1
% 0.68/1.09 usefactor = 1
% 0.68/1.09 usesimpsplitting = 0
% 0.68/1.09 usesimpdemod = 5
% 0.68/1.09 usesimpres = 3
% 0.68/1.09
% 0.68/1.09 resimpinuse = 1000
% 0.68/1.09 resimpclauses = 20000
% 0.68/1.09 substype = eqrewr
% 0.68/1.09 backwardsubs = 1
% 0.68/1.09 selectoldest = 5
% 0.68/1.09
% 0.68/1.09 litorderings [0] = split
% 0.68/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.68/1.09
% 0.68/1.09 termordering = kbo
% 0.68/1.09
% 0.68/1.09 litapriori = 0
% 0.68/1.09 termapriori = 1
% 0.68/1.09 litaposteriori = 0
% 0.68/1.09 termaposteriori = 0
% 0.68/1.09 demodaposteriori = 0
% 0.68/1.09 ordereqreflfact = 0
% 0.68/1.09
% 0.68/1.09 litselect = negord
% 0.68/1.09
% 0.68/1.09 maxweight = 15
% 0.68/1.09 maxdepth = 30000
% 0.68/1.09 maxlength = 115
% 0.68/1.09 maxnrvars = 195
% 0.68/1.09 excuselevel = 1
% 0.68/1.09 increasemaxweight = 1
% 0.68/1.09
% 0.68/1.09 maxselected = 10000000
% 0.68/1.09 maxnrclauses = 10000000
% 0.68/1.09
% 0.68/1.09 showgenerated = 0
% 0.68/1.09 showkept = 0
% 0.68/1.09 showselected = 0
% 0.68/1.09 showdeleted = 0
% 0.68/1.09 showresimp = 1
% 0.68/1.09 showstatus = 2000
% 0.68/1.09
% 0.68/1.09 prologoutput = 1
% 0.68/1.09 nrgoals = 5000000
% 0.68/1.09 totalproof = 1
% 0.68/1.09
% 0.68/1.09 Symbols occurring in the translation:
% 0.68/1.09
% 0.68/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.09 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.68/1.09 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.68/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 join [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.68/1.09 complement [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.68/1.09 meet [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.68/1.09 composition [45, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.68/1.09 one [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.68/1.09 converse [47, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.68/1.09 top [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.68/1.09 zero [49, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.68/1.09 sk1 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.68/1.09 sk2 [51, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.68/1.09 sk3 [52, 0] (w:1, o:7, a:1, s:1, b:0).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Starting Search:
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksems!, er is een bewijs:
% 0.68/1.09 % SZS status Unsatisfiable
% 0.68/1.09 % SZS output start Refutation
% 0.68/1.09
% 0.68/1.09 clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 13, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 14, [ =( join( sk3, sk2 ), sk2 ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 15, [ ~( =( join( join( sk1, sk3 ), sk2 ), sk2 ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 27, [ =( join( join( X, sk3 ), sk2 ), join( X, sk2 ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 28, [] )
% 0.68/1.09 .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 % SZS output end Refutation
% 0.68/1.09 found a proof!
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 initialclauses(
% 0.68/1.09 [ clause( 30, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.68/1.09 , clause( 31, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.68/1.09 , clause( 32, [ =( X, join( complement( join( complement( X ), complement(
% 0.68/1.09 Y ) ) ), complement( join( complement( X ), Y ) ) ) ) ] )
% 0.68/1.09 , clause( 33, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.68/1.09 complement( Y ) ) ) ) ] )
% 0.68/1.09 , clause( 34, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.68/1.09 composition( X, Y ), Z ) ) ] )
% 0.68/1.09 , clause( 35, [ =( composition( X, one ), X ) ] )
% 0.68/1.09 , clause( 36, [ =( composition( join( X, Y ), Z ), join( composition( X, Z
% 0.68/1.09 ), composition( Y, Z ) ) ) ] )
% 0.68/1.09 , clause( 37, [ =( converse( converse( X ) ), X ) ] )
% 0.68/1.09 , clause( 38, [ =( converse( join( X, Y ) ), join( converse( X ), converse(
% 0.68/1.09 Y ) ) ) ] )
% 0.68/1.09 , clause( 39, [ =( converse( composition( X, Y ) ), composition( converse(
% 0.68/1.09 Y ), converse( X ) ) ) ] )
% 0.68/1.09 , clause( 40, [ =( join( composition( converse( X ), complement(
% 0.68/1.09 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.68/1.09 , clause( 41, [ =( top, join( X, complement( X ) ) ) ] )
% 0.68/1.09 , clause( 42, [ =( zero, meet( X, complement( X ) ) ) ] )
% 0.68/1.09 , clause( 43, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.68/1.09 , clause( 44, [ =( join( sk3, sk2 ), sk2 ) ] )
% 0.68/1.09 , clause( 45, [ ~( =( join( join( sk1, sk3 ), sk2 ), sk2 ) ) ] )
% 0.68/1.09 ] ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.68/1.09 , clause( 31, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 13, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.68/1.09 , clause( 43, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 14, [ =( join( sk3, sk2 ), sk2 ) ] )
% 0.68/1.09 , clause( 44, [ =( join( sk3, sk2 ), sk2 ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 15, [ ~( =( join( join( sk1, sk3 ), sk2 ), sk2 ) ) ] )
% 0.68/1.09 , clause( 45, [ ~( =( join( join( sk1, sk3 ), sk2 ), sk2 ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 90, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.68/1.09 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 92, [ =( join( join( X, sk3 ), sk2 ), join( X, sk2 ) ) ] )
% 0.68/1.09 , clause( 14, [ =( join( sk3, sk2 ), sk2 ) ] )
% 0.68/1.09 , 0, clause( 90, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, sk3 )
% 0.68/1.09 , :=( Z, sk2 )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 27, [ =( join( join( X, sk3 ), sk2 ), join( X, sk2 ) ) ] )
% 0.68/1.09 , clause( 92, [ =( join( join( X, sk3 ), sk2 ), join( X, sk2 ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 98, [ ~( =( join( sk1, sk2 ), sk2 ) ) ] )
% 0.68/1.09 , clause( 27, [ =( join( join( X, sk3 ), sk2 ), join( X, sk2 ) ) ] )
% 0.68/1.09 , 0, clause( 15, [ ~( =( join( join( sk1, sk3 ), sk2 ), sk2 ) ) ] )
% 0.68/1.09 , 0, 2, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 99, [ ~( =( sk2, sk2 ) ) ] )
% 0.68/1.09 , clause( 13, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.68/1.09 , 0, clause( 98, [ ~( =( join( sk1, sk2 ), sk2 ) ) ] )
% 0.68/1.09 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqrefl(
% 0.68/1.09 clause( 100, [] )
% 0.68/1.09 , clause( 99, [ ~( =( sk2, sk2 ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 28, [] )
% 0.68/1.09 , clause( 100, [] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 end.
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 Memory use:
% 0.68/1.09
% 0.68/1.09 space for terms: 592
% 0.68/1.09 space for clauses: 2902
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 clauses generated: 87
% 0.68/1.09 clauses kept: 29
% 0.68/1.09 clauses selected: 11
% 0.68/1.09 clauses deleted: 1
% 0.68/1.09 clauses inuse deleted: 0
% 0.68/1.09
% 0.68/1.09 subsentry: 296
% 0.68/1.09 literals s-matched: 148
% 0.68/1.09 literals matched: 148
% 0.68/1.09 full subsumption: 0
% 0.68/1.09
% 0.68/1.09 checksum: -208799503
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksem ended
%------------------------------------------------------------------------------