TSTP Solution File: REL003-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL003-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 18:59:46 EDT 2022
% Result : Unsatisfiable 0.42s 1.07s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL003-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.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 09:59:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.07 *** allocated 10000 integers for termspace/termends
% 0.42/1.07 *** allocated 10000 integers for clauses
% 0.42/1.07 *** allocated 10000 integers for justifications
% 0.42/1.07 Bliksem 1.12
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Automatic Strategy Selection
% 0.42/1.07
% 0.42/1.07 Clauses:
% 0.42/1.07 [
% 0.42/1.07 [ =( join( X, Y ), join( Y, X ) ) ],
% 0.42/1.07 [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ],
% 0.42/1.07 [ =( X, join( complement( join( complement( X ), complement( Y ) ) ),
% 0.42/1.07 complement( join( complement( X ), Y ) ) ) ) ],
% 0.42/1.07 [ =( meet( X, Y ), complement( join( complement( X ), complement( Y ) )
% 0.42/1.07 ) ) ],
% 0.42/1.07 [ =( composition( X, composition( Y, Z ) ), composition( composition( X
% 0.42/1.07 , Y ), Z ) ) ],
% 0.42/1.07 [ =( composition( X, one ), X ) ],
% 0.42/1.07 [ =( composition( join( X, Y ), Z ), join( composition( X, Z ),
% 0.42/1.07 composition( Y, Z ) ) ) ],
% 0.42/1.07 [ =( converse( converse( X ) ), X ) ],
% 0.42/1.07 [ =( converse( join( X, Y ) ), join( converse( X ), converse( Y ) ) ) ]
% 0.42/1.07 ,
% 0.42/1.07 [ =( converse( composition( X, Y ) ), composition( converse( Y ),
% 0.42/1.07 converse( X ) ) ) ],
% 0.42/1.07 [ =( join( composition( converse( X ), complement( composition( X, Y ) )
% 0.42/1.07 ), complement( Y ) ), complement( Y ) ) ],
% 0.42/1.07 [ =( top, join( X, complement( X ) ) ) ],
% 0.42/1.07 [ =( zero, meet( X, complement( X ) ) ) ],
% 0.42/1.07 [ =( join( sk1, sk2 ), sk2 ), =( join( converse( sk1 ), converse( sk2 )
% 0.42/1.07 ), converse( sk2 ) ) ],
% 0.42/1.07 [ ~( =( join( sk1, sk2 ), sk2 ) ), ~( =( join( converse( sk1 ), converse(
% 0.42/1.07 sk2 ) ), converse( sk2 ) ) ) ]
% 0.42/1.07 ] .
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 percentage equality = 1.000000, percentage horn = 0.933333
% 0.42/1.07 This is a pure equality problem
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Options Used:
% 0.42/1.07
% 0.42/1.07 useres = 1
% 0.42/1.07 useparamod = 1
% 0.42/1.07 useeqrefl = 1
% 0.42/1.07 useeqfact = 1
% 0.42/1.07 usefactor = 1
% 0.42/1.07 usesimpsplitting = 0
% 0.42/1.07 usesimpdemod = 5
% 0.42/1.07 usesimpres = 3
% 0.42/1.07
% 0.42/1.07 resimpinuse = 1000
% 0.42/1.07 resimpclauses = 20000
% 0.42/1.07 substype = eqrewr
% 0.42/1.07 backwardsubs = 1
% 0.42/1.07 selectoldest = 5
% 0.42/1.07
% 0.42/1.07 litorderings [0] = split
% 0.42/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.07
% 0.42/1.07 termordering = kbo
% 0.42/1.07
% 0.42/1.07 litapriori = 0
% 0.42/1.07 termapriori = 1
% 0.42/1.07 litaposteriori = 0
% 0.42/1.07 termaposteriori = 0
% 0.42/1.07 demodaposteriori = 0
% 0.42/1.07 ordereqreflfact = 0
% 0.42/1.07
% 0.42/1.07 litselect = negord
% 0.42/1.07
% 0.42/1.07 maxweight = 15
% 0.42/1.07 maxdepth = 30000
% 0.42/1.07 maxlength = 115
% 0.42/1.07 maxnrvars = 195
% 0.42/1.07 excuselevel = 1
% 0.42/1.07 increasemaxweight = 1
% 0.42/1.07
% 0.42/1.07 maxselected = 10000000
% 0.42/1.07 maxnrclauses = 10000000
% 0.42/1.07
% 0.42/1.07 showgenerated = 0
% 0.42/1.07 showkept = 0
% 0.42/1.07 showselected = 0
% 0.42/1.07 showdeleted = 0
% 0.42/1.07 showresimp = 1
% 0.42/1.07 showstatus = 2000
% 0.42/1.07
% 0.42/1.07 prologoutput = 1
% 0.42/1.07 nrgoals = 5000000
% 0.42/1.07 totalproof = 1
% 0.42/1.07
% 0.42/1.07 Symbols occurring in the translation:
% 0.42/1.07
% 0.42/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.07 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.07 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.42/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.07 join [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.42/1.07 complement [43, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.42/1.07 meet [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.42/1.07 composition [45, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.42/1.07 one [46, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/1.07 converse [47, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.42/1.07 top [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.42/1.07 zero [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.42/1.07 sk1 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.42/1.07 sk2 [51, 0] (w:1, o:6, a:1, s:1, b:0).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Starting Search:
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksems!, er is een bewijs:
% 0.42/1.07 % SZS status Unsatisfiable
% 0.42/1.07 % SZS output start Refutation
% 0.42/1.07
% 0.42/1.07 clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X, Y
% 0.42/1.07 ) ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 13, [ =( join( sk1, sk2 ), sk2 ), =( converse( join( sk1, sk2 ) ),
% 0.42/1.07 converse( sk2 ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 14, [ ~( =( join( sk1, sk2 ), sk2 ) ), ~( =( converse( join( sk1,
% 0.42/1.07 sk2 ) ), converse( sk2 ) ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 116, [ =( join( sk1, sk2 ), sk2 ), =( join( sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 117, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 129, [] )
% 0.42/1.07 .
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 % SZS output end Refutation
% 0.42/1.07 found a proof!
% 0.42/1.07
% 0.42/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.07
% 0.42/1.07 initialclauses(
% 0.42/1.07 [ clause( 131, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.42/1.07 , clause( 132, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.42/1.07 , clause( 133, [ =( X, join( complement( join( complement( X ), complement(
% 0.42/1.07 Y ) ) ), complement( join( complement( X ), Y ) ) ) ) ] )
% 0.42/1.07 , clause( 134, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.42/1.07 complement( Y ) ) ) ) ] )
% 0.42/1.07 , clause( 135, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.42/1.07 composition( X, Y ), Z ) ) ] )
% 0.42/1.07 , clause( 136, [ =( composition( X, one ), X ) ] )
% 0.42/1.07 , clause( 137, [ =( composition( join( X, Y ), Z ), join( composition( X, Z
% 0.42/1.07 ), composition( Y, Z ) ) ) ] )
% 0.42/1.07 , clause( 138, [ =( converse( converse( X ) ), X ) ] )
% 0.42/1.07 , clause( 139, [ =( converse( join( X, Y ) ), join( converse( X ), converse(
% 0.42/1.07 Y ) ) ) ] )
% 0.42/1.07 , clause( 140, [ =( converse( composition( X, Y ) ), composition( converse(
% 0.42/1.07 Y ), converse( X ) ) ) ] )
% 0.42/1.07 , clause( 141, [ =( join( composition( converse( X ), complement(
% 0.42/1.07 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.42/1.07 , clause( 142, [ =( top, join( X, complement( X ) ) ) ] )
% 0.42/1.07 , clause( 143, [ =( zero, meet( X, complement( X ) ) ) ] )
% 0.42/1.07 , clause( 144, [ =( join( sk1, sk2 ), sk2 ), =( join( converse( sk1 ),
% 0.42/1.07 converse( sk2 ) ), converse( sk2 ) ) ] )
% 0.42/1.07 , clause( 145, [ ~( =( join( sk1, sk2 ), sk2 ) ), ~( =( join( converse( sk1
% 0.42/1.07 ), converse( sk2 ) ), converse( sk2 ) ) ) ] )
% 0.42/1.07 ] ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.42/1.07 , clause( 138, [ =( converse( converse( X ) ), X ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 160, [ =( join( converse( X ), converse( Y ) ), converse( join( X,
% 0.42/1.07 Y ) ) ) ] )
% 0.42/1.07 , clause( 139, [ =( converse( join( X, Y ) ), join( converse( X ), converse(
% 0.42/1.07 Y ) ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X, Y
% 0.42/1.07 ) ) ) ] )
% 0.42/1.07 , clause( 160, [ =( join( converse( X ), converse( Y ) ), converse( join( X
% 0.42/1.07 , Y ) ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.07 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 192, [ =( converse( join( sk1, sk2 ) ), converse( sk2 ) ), =( join(
% 0.42/1.07 sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 , clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X,
% 0.42/1.07 Y ) ) ) ] )
% 0.42/1.07 , 0, clause( 144, [ =( join( sk1, sk2 ), sk2 ), =( join( converse( sk1 ),
% 0.42/1.07 converse( sk2 ) ), converse( sk2 ) ) ] )
% 0.42/1.07 , 1, 1, substitution( 0, [ :=( X, sk1 ), :=( Y, sk2 )] ), substitution( 1
% 0.42/1.07 , [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 13, [ =( join( sk1, sk2 ), sk2 ), =( converse( join( sk1, sk2 ) ),
% 0.42/1.07 converse( sk2 ) ) ] )
% 0.42/1.07 , clause( 192, [ =( converse( join( sk1, sk2 ) ), converse( sk2 ) ), =(
% 0.42/1.07 join( sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 247, [ ~( =( converse( join( sk1, sk2 ) ), converse( sk2 ) ) ), ~(
% 0.42/1.07 =( join( sk1, sk2 ), sk2 ) ) ] )
% 0.42/1.07 , clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X,
% 0.42/1.07 Y ) ) ) ] )
% 0.42/1.07 , 0, clause( 145, [ ~( =( join( sk1, sk2 ), sk2 ) ), ~( =( join( converse(
% 0.42/1.07 sk1 ), converse( sk2 ) ), converse( sk2 ) ) ) ] )
% 0.42/1.07 , 1, 2, substitution( 0, [ :=( X, sk1 ), :=( Y, sk2 )] ), substitution( 1
% 0.42/1.07 , [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 14, [ ~( =( join( sk1, sk2 ), sk2 ) ), ~( =( converse( join( sk1,
% 0.42/1.07 sk2 ) ), converse( sk2 ) ) ) ] )
% 0.42/1.07 , clause( 247, [ ~( =( converse( join( sk1, sk2 ) ), converse( sk2 ) ) ),
% 0.42/1.07 ~( =( join( sk1, sk2 ), sk2 ) ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 251, [ =( sk2, join( sk1, sk2 ) ), =( converse( join( sk1, sk2 ) )
% 0.42/1.07 , converse( sk2 ) ) ] )
% 0.42/1.07 , clause( 13, [ =( join( sk1, sk2 ), sk2 ), =( converse( join( sk1, sk2 ) )
% 0.42/1.07 , converse( sk2 ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 254, [ =( X, converse( converse( X ) ) ) ] )
% 0.42/1.07 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 256, [ =( join( sk1, sk2 ), converse( converse( sk2 ) ) ), =( sk2,
% 0.42/1.07 join( sk1, sk2 ) ) ] )
% 0.42/1.07 , clause( 251, [ =( sk2, join( sk1, sk2 ) ), =( converse( join( sk1, sk2 )
% 0.42/1.07 ), converse( sk2 ) ) ] )
% 0.42/1.07 , 1, clause( 254, [ =( X, converse( converse( X ) ) ) ] )
% 0.42/1.07 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, join( sk1, sk2 ) )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 257, [ =( join( sk1, sk2 ), sk2 ), =( sk2, join( sk1, sk2 ) ) ] )
% 0.42/1.07 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.42/1.07 , 0, clause( 256, [ =( join( sk1, sk2 ), converse( converse( sk2 ) ) ), =(
% 0.42/1.07 sk2, join( sk1, sk2 ) ) ] )
% 0.42/1.07 , 0, 4, substitution( 0, [ :=( X, sk2 )] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 259, [ =( join( sk1, sk2 ), sk2 ), =( join( sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 , clause( 257, [ =( join( sk1, sk2 ), sk2 ), =( sk2, join( sk1, sk2 ) ) ]
% 0.42/1.07 )
% 0.42/1.07 , 1, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 116, [ =( join( sk1, sk2 ), sk2 ), =( join( sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 , clause( 259, [ =( join( sk1, sk2 ), sk2 ), =( join( sk1, sk2 ), sk2 ) ]
% 0.42/1.07 )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 factor(
% 0.42/1.07 clause( 262, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 , clause( 116, [ =( join( sk1, sk2 ), sk2 ), =( join( sk1, sk2 ), sk2 ) ]
% 0.42/1.07 )
% 0.42/1.07 , 0, 1, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 117, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 , clause( 262, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 269, [ ~( =( converse( sk2 ), converse( sk2 ) ) ), ~( =( join( sk1
% 0.42/1.07 , sk2 ), sk2 ) ) ] )
% 0.42/1.07 , clause( 117, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 , 0, clause( 14, [ ~( =( join( sk1, sk2 ), sk2 ) ), ~( =( converse( join(
% 0.42/1.07 sk1, sk2 ) ), converse( sk2 ) ) ) ] )
% 0.42/1.07 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqrefl(
% 0.42/1.07 clause( 271, [ ~( =( join( sk1, sk2 ), sk2 ) ) ] )
% 0.42/1.07 , clause( 269, [ ~( =( converse( sk2 ), converse( sk2 ) ) ), ~( =( join(
% 0.42/1.07 sk1, sk2 ), sk2 ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 272, [ ~( =( sk2, sk2 ) ) ] )
% 0.42/1.07 , clause( 117, [ =( join( sk1, sk2 ), sk2 ) ] )
% 0.42/1.07 , 0, clause( 271, [ ~( =( join( sk1, sk2 ), sk2 ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqrefl(
% 0.42/1.07 clause( 273, [] )
% 0.42/1.07 , clause( 272, [ ~( =( sk2, sk2 ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 129, [] )
% 0.42/1.07 , clause( 273, [] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 end.
% 0.42/1.07
% 0.42/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.07
% 0.42/1.07 Memory use:
% 0.42/1.07
% 0.42/1.07 space for terms: 1774
% 0.42/1.07 space for clauses: 13994
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 clauses generated: 498
% 0.42/1.07 clauses kept: 130
% 0.42/1.07 clauses selected: 38
% 0.42/1.07 clauses deleted: 3
% 0.42/1.07 clauses inuse deleted: 0
% 0.42/1.07
% 0.42/1.07 subsentry: 548
% 0.42/1.07 literals s-matched: 225
% 0.42/1.07 literals matched: 225
% 0.42/1.07 full subsumption: 0
% 0.42/1.07
% 0.42/1.07 checksum: -638815952
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksem ended
%------------------------------------------------------------------------------