TSTP Solution File: SET001-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 22:45:05 EDT 2022
% Result : Unsatisfiable 0.72s 1.10s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jul 11 02:50:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09 [
% 0.72/1.09 [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ],
% 0.72/1.09 [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X ) ],
% 0.72/1.09 [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ],
% 0.72/1.09 [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ],
% 0.72/1.09 [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X ) ],
% 0.72/1.09 [ 'equal_sets'( b, bb ) ],
% 0.72/1.09 [ member( 'element_of_b', b ) ],
% 0.72/1.09 [ ~( member( 'element_of_b', bb ) ) ]
% 0.72/1.09 ] .
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 percentage equality = 0.000000, percentage horn = 0.888889
% 0.72/1.09 This a non-horn, non-equality problem
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Options Used:
% 0.72/1.09
% 0.72/1.09 useres = 1
% 0.72/1.09 useparamod = 0
% 0.72/1.09 useeqrefl = 0
% 0.72/1.09 useeqfact = 0
% 0.72/1.09 usefactor = 1
% 0.72/1.09 usesimpsplitting = 0
% 0.72/1.09 usesimpdemod = 0
% 0.72/1.09 usesimpres = 3
% 0.72/1.09
% 0.72/1.09 resimpinuse = 1000
% 0.72/1.09 resimpclauses = 20000
% 0.72/1.09 substype = standard
% 0.72/1.09 backwardsubs = 1
% 0.72/1.09 selectoldest = 5
% 0.72/1.09
% 0.72/1.09 litorderings [0] = split
% 0.72/1.09 litorderings [1] = liftord
% 0.72/1.09
% 0.72/1.09 termordering = none
% 0.72/1.09
% 0.72/1.09 litapriori = 1
% 0.72/1.09 termapriori = 0
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = none
% 0.72/1.09
% 0.72/1.09 maxweight = 15
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 1
% 0.72/1.09 increasemaxweight = 1
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 1
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 member [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.10 subset [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.10 'member_of_1_not_of_2' [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.10 'equal_sets' [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.10 b [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.10 bb [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.10 'element_of_b' [50, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksems!, er is een bewijs:
% 0.72/1.10 % SZS status Unsatisfiable
% 0.72/1.10 % SZS output start Refutation
% 0.72/1.10
% 0.72/1.10 clause( 0, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 3, [ subset( X, Y ), ~( 'equal_sets'( X, Y ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 6, [ 'equal_sets'( b, bb ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 7, [ member( 'element_of_b', b ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 8, [ ~( member( 'element_of_b', bb ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 12, [ subset( b, bb ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 13, [ ~( member( X, b ) ), member( X, bb ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 14, [] )
% 0.72/1.10 .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 % SZS output end Refutation
% 0.72/1.10 found a proof!
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 initialclauses(
% 0.72/1.10 [ clause( 16, [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 17, [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 18, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X
% 0.72/1.10 , Y ) ] )
% 0.72/1.10 , clause( 19, [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ] )
% 0.72/1.10 , clause( 20, [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ] )
% 0.72/1.10 , clause( 21, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y,
% 0.72/1.10 X ) ] )
% 0.72/1.10 , clause( 22, [ 'equal_sets'( b, bb ) ] )
% 0.72/1.10 , clause( 23, [ member( 'element_of_b', b ) ] )
% 0.72/1.10 , clause( 24, [ ~( member( 'element_of_b', bb ) ) ] )
% 0.72/1.10 ] ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 0, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ] )
% 0.72/1.10 , clause( 16, [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ]
% 0.72/1.10 )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 3, [ subset( X, Y ), ~( 'equal_sets'( X, Y ) ) ] )
% 0.72/1.10 , clause( 19, [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.10 ), ==>( 1, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 6, [ 'equal_sets'( b, bb ) ] )
% 0.72/1.10 , clause( 22, [ 'equal_sets'( b, bb ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 7, [ member( 'element_of_b', b ) ] )
% 0.72/1.10 , clause( 23, [ member( 'element_of_b', b ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 8, [ ~( member( 'element_of_b', bb ) ) ] )
% 0.72/1.10 , clause( 24, [ ~( member( 'element_of_b', bb ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 28, [ subset( b, bb ) ] )
% 0.72/1.10 , clause( 3, [ subset( X, Y ), ~( 'equal_sets'( X, Y ) ) ] )
% 0.72/1.10 , 1, clause( 6, [ 'equal_sets'( b, bb ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, b ), :=( Y, bb )] ), substitution( 1, [] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 12, [ subset( b, bb ) ] )
% 0.72/1.10 , clause( 28, [ subset( b, bb ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 29, [ ~( member( X, b ) ), member( X, bb ) ] )
% 0.72/1.10 , clause( 0, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , 2, clause( 12, [ subset( b, bb ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, b ), :=( Z, bb )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 13, [ ~( member( X, b ) ), member( X, bb ) ] )
% 0.72/1.10 , clause( 29, [ ~( member( X, b ) ), member( X, bb ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.10 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 30, [ ~( member( 'element_of_b', b ) ) ] )
% 0.72/1.10 , clause( 8, [ ~( member( 'element_of_b', bb ) ) ] )
% 0.72/1.10 , 0, clause( 13, [ ~( member( X, b ) ), member( X, bb ) ] )
% 0.72/1.10 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'element_of_b' )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 31, [] )
% 0.72/1.10 , clause( 30, [ ~( member( 'element_of_b', b ) ) ] )
% 0.72/1.10 , 0, clause( 7, [ member( 'element_of_b', b ) ] )
% 0.72/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 14, [] )
% 0.72/1.10 , clause( 31, [] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 end.
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 Memory use:
% 0.72/1.10
% 0.72/1.10 space for terms: 275
% 0.72/1.10 space for clauses: 857
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 clauses generated: 15
% 0.72/1.10 clauses kept: 15
% 0.72/1.10 clauses selected: 9
% 0.72/1.10 clauses deleted: 0
% 0.72/1.10 clauses inuse deleted: 0
% 0.72/1.10
% 0.72/1.10 subsentry: 4
% 0.72/1.10 literals s-matched: 3
% 0.72/1.10 literals matched: 3
% 0.72/1.10 full subsumption: 0
% 0.72/1.10
% 0.72/1.10 checksum: 10003150
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksem ended
%------------------------------------------------------------------------------