TSTP Solution File: SET016-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 22:45:24 EDT 2022
% Result : Unsatisfiable 6.23s 6.63s
% Output : Refutation 6.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 10 17:04:11 EDT 2022
% 0.12/0.35 % CPUTime :
% 6.23/6.63 *** allocated 10000 integers for termspace/termends
% 6.23/6.63 *** allocated 10000 integers for clauses
% 6.23/6.63 *** allocated 10000 integers for justifications
% 6.23/6.63 Bliksem 1.12
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Automatic Strategy Selection
% 6.23/6.63
% 6.23/6.63 Clauses:
% 6.23/6.63 [
% 6.23/6.63 [ member( X, 'singleton_set'( X ) ) ],
% 6.23/6.63 [ ~( member( X, 'singleton_set'( Y ) ) ), =( X, Y ) ],
% 6.23/6.63 [ member( X, 'unordered_pair'( X, Y ) ) ],
% 6.23/6.63 [ member( X, 'unordered_pair'( Y, X ) ) ],
% 6.23/6.63 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 6.23/6.63 ,
% 6.23/6.63 [ =( 'ordered_pair'( X, Y ), 'unordered_pair'( 'singleton_set'( X ),
% 6.23/6.63 'unordered_pair'( X, Y ) ) ) ],
% 6.23/6.63 [ =( 'ordered_pair'( m1, r1 ), 'ordered_pair'( m2, r2 ) ) ],
% 6.23/6.63 [ ~( =( m1, m2 ) ) ]
% 6.23/6.63 ] .
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 percentage equality = 0.545455, percentage horn = 0.875000
% 6.23/6.63 This is a problem with some equality
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Options Used:
% 6.23/6.63
% 6.23/6.63 useres = 1
% 6.23/6.63 useparamod = 1
% 6.23/6.63 useeqrefl = 1
% 6.23/6.63 useeqfact = 1
% 6.23/6.63 usefactor = 1
% 6.23/6.63 usesimpsplitting = 0
% 6.23/6.63 usesimpdemod = 5
% 6.23/6.63 usesimpres = 3
% 6.23/6.63
% 6.23/6.63 resimpinuse = 1000
% 6.23/6.63 resimpclauses = 20000
% 6.23/6.63 substype = eqrewr
% 6.23/6.63 backwardsubs = 1
% 6.23/6.63 selectoldest = 5
% 6.23/6.63
% 6.23/6.63 litorderings [0] = split
% 6.23/6.63 litorderings [1] = extend the termordering, first sorting on arguments
% 6.23/6.63
% 6.23/6.63 termordering = kbo
% 6.23/6.63
% 6.23/6.63 litapriori = 0
% 6.23/6.63 termapriori = 1
% 6.23/6.63 litaposteriori = 0
% 6.23/6.63 termaposteriori = 0
% 6.23/6.63 demodaposteriori = 0
% 6.23/6.63 ordereqreflfact = 0
% 6.23/6.63
% 6.23/6.63 litselect = negord
% 6.23/6.63
% 6.23/6.63 maxweight = 15
% 6.23/6.63 maxdepth = 30000
% 6.23/6.63 maxlength = 115
% 6.23/6.63 maxnrvars = 195
% 6.23/6.63 excuselevel = 1
% 6.23/6.63 increasemaxweight = 1
% 6.23/6.63
% 6.23/6.63 maxselected = 10000000
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63
% 6.23/6.63 showgenerated = 0
% 6.23/6.63 showkept = 0
% 6.23/6.63 showselected = 0
% 6.23/6.63 showdeleted = 0
% 6.23/6.63 showresimp = 1
% 6.23/6.63 showstatus = 2000
% 6.23/6.63
% 6.23/6.63 prologoutput = 1
% 6.23/6.63 nrgoals = 5000000
% 6.23/6.63 totalproof = 1
% 6.23/6.63
% 6.23/6.63 Symbols occurring in the translation:
% 6.23/6.63
% 6.23/6.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.23/6.63 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 6.23/6.63 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 6.23/6.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.23/6.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.23/6.63 'singleton_set' [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 6.23/6.63 member [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 6.23/6.63 'unordered_pair' [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 6.23/6.63 'ordered_pair' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 6.23/6.63 m1 [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 6.23/6.63 r1 [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 6.23/6.63 m2 [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 6.23/6.63 r2 [49, 0] (w:1, o:15, a:1, s:1, b:0).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 4697
% 6.23/6.63 Kept: 2050
% 6.23/6.63 Inuse: 47
% 6.23/6.63 Deleted: 0
% 6.23/6.63 Deletedinuse: 0
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 10344
% 6.23/6.63 Kept: 4086
% 6.23/6.63 Inuse: 85
% 6.23/6.63 Deleted: 10
% 6.23/6.63 Deletedinuse: 10
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 18620
% 6.23/6.63 Kept: 6099
% 6.23/6.63 Inuse: 134
% 6.23/6.63 Deleted: 12
% 6.23/6.63 Deletedinuse: 12
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 41702
% 6.23/6.63 Kept: 8125
% 6.23/6.63 Inuse: 179
% 6.23/6.63 Deleted: 12
% 6.23/6.63 Deletedinuse: 12
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 71912
% 6.23/6.63 Kept: 10167
% 6.23/6.63 Inuse: 211
% 6.23/6.63 Deleted: 24
% 6.23/6.63 Deletedinuse: 12
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 106944
% 6.23/6.63 Kept: 12242
% 6.23/6.63 Inuse: 257
% 6.23/6.63 Deleted: 24
% 6.23/6.63 Deletedinuse: 12
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 136707
% 6.23/6.63 Kept: 14292
% 6.23/6.63 Inuse: 289
% 6.23/6.63 Deleted: 24
% 6.23/6.63 Deletedinuse: 12
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Bliksems!, er is een bewijs:
% 6.23/6.63 % SZS status Unsatisfiable
% 6.23/6.63 % SZS output start Refutation
% 6.23/6.63
% 6.23/6.63 clause( 0, [ member( X, 'singleton_set'( X ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 1, [ ~( member( X, 'singleton_set'( Y ) ) ), =( X, Y ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 2, [ member( X, 'unordered_pair'( X, Y ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 4, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z
% 6.23/6.63 ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 5, [ =( 'unordered_pair'( 'singleton_set'( X ), 'unordered_pair'( X
% 6.23/6.63 , Y ) ), 'ordered_pair'( X, Y ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 6, [ =( 'ordered_pair'( m2, r2 ), 'ordered_pair'( m1, r1 ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 7, [ ~( =( m2, m1 ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 8, [ ~( member( X, 'unordered_pair'( Y, Y ) ) ), =( X, Y ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 16, [ =( 'ordered_pair'( m2, X ), 'ordered_pair'( m1, r1 ) ), ~(
% 6.23/6.63 member( X, 'singleton_set'( r2 ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 24, [ ~( =( X, m1 ) ), ~( member( X, 'singleton_set'( m2 ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 25, [ ~( member( m1, 'singleton_set'( m2 ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 58, [ ~( =( Y, m1 ) ), ~( member( Y, X ) ), ~( member( X,
% 6.23/6.63 'unordered_pair'( 'singleton_set'( m2 ), Z ) ) ), =( X, Z ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 78, [ ~( member( m1, X ) ), ~( member( X, 'unordered_pair'(
% 6.23/6.63 'singleton_set'( m2 ), Y ) ) ), =( X, Y ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 122, [ ~( =( X, m1 ) ), ~( member( m2, 'unordered_pair'( X, Y ) ) )
% 6.23/6.63 , =( m2, Y ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 129, [ ~( member( m2, 'unordered_pair'( m1, X ) ) ), =( m2, X ) ]
% 6.23/6.63 )
% 6.23/6.63 .
% 6.23/6.63 clause( 289, [ ~( =( X, m1 ) ), ~( member( X, 'unordered_pair'( m2, m2 ) )
% 6.23/6.63 ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 290, [ ~( member( m1, 'unordered_pair'( m2, m2 ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 308, [ member( 'singleton_set'( X ), 'ordered_pair'( X, Y ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 8422, [ ~( member( m1, X ) ), ~( =( Y, m1 ) ), ~( member( Y, X ) )
% 6.23/6.63 , ~( member( X, 'ordered_pair'( m2, m2 ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 8430, [ ~( member( m1, X ) ), ~( member( X, 'ordered_pair'( m2, m2
% 6.23/6.63 ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 8452, [ ~( member( 'singleton_set'( m1 ), 'ordered_pair'( m2, m2 )
% 6.23/6.63 ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 8527, [ ~( member( m2, 'singleton_set'( r2 ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 8629, [ ~( member( m2, 'unordered_pair'( m1, r2 ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 8942, [ ~( member( m2, 'unordered_pair'( X, r2 ) ) ), ~( member( X
% 6.23/6.63 , 'singleton_set'( m1 ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 14029, [ ~( member( m2, 'unordered_pair'( Y, r2 ) ) ), ~( member( Y
% 6.23/6.63 , X ) ), ~( member( 'singleton_set'( m1 ), 'unordered_pair'(
% 6.23/6.63 'singleton_set'( m2 ), X ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 14290, [ ~( member( 'singleton_set'( m1 ), 'ordered_pair'( m1, r1 )
% 6.23/6.63 ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 14292, [] )
% 6.23/6.63 .
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 % SZS output end Refutation
% 6.23/6.63 found a proof!
% 6.23/6.63
% 6.23/6.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.23/6.63
% 6.23/6.63 initialclauses(
% 6.23/6.63 [ clause( 14294, [ member( X, 'singleton_set'( X ) ) ] )
% 6.23/6.63 , clause( 14295, [ ~( member( X, 'singleton_set'( Y ) ) ), =( X, Y ) ] )
% 6.23/6.63 , clause( 14296, [ member( X, 'unordered_pair'( X, Y ) ) ] )
% 6.23/6.63 , clause( 14297, [ member( X, 'unordered_pair'( Y, X ) ) ] )
% 6.23/6.63 , clause( 14298, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 6.23/6.63 =( X, Z ) ] )
% 6.23/6.63 , clause( 14299, [ =( 'ordered_pair'( X, Y ), 'unordered_pair'(
% 6.23/6.63 'singleton_set'( X ), 'unordered_pair'( X, Y ) ) ) ] )
% 6.23/6.63 , clause( 14300, [ =( 'ordered_pair'( m1, r1 ), 'ordered_pair'( m2, r2 ) )
% 6.23/6.63 ] )
% 6.23/6.63 , clause( 14301, [ ~( =( m1, m2 ) ) ] )
% 6.23/6.63 ] ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 0, [ member( X, 'singleton_set'( X ) ) ] )
% 6.23/6.63 , clause( 14294, [ member( X, 'singleton_set'( X ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 1, [ ~( member( X, 'singleton_set'( Y ) ) ), =( X, Y ) ] )
% 6.23/6.63 , clause( 14295, [ ~( member( X, 'singleton_set'( Y ) ) ), =( X, Y ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.23/6.63 ), ==>( 1, 1 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 2, [ member( X, 'unordered_pair'( X, Y ) ) ] )
% 6.23/6.63 , clause( 14296, [ member( X, 'unordered_pair'( X, Y ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.23/6.63 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 4, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z
% 6.23/6.63 ) ] )
% 6.23/6.63 , clause( 14298, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 6.23/6.63 =( X, Z ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 eqswap(
% 6.23/6.63 clause( 14316, [ =( 'unordered_pair'( 'singleton_set'( X ),
% 6.23/6.63 'unordered_pair'( X, Y ) ), 'ordered_pair'( X, Y ) ) ] )
% 6.23/6.63 , clause( 14299, [ =( 'ordered_pair'( X, Y ), 'unordered_pair'(
% 6.23/6.63 'singleton_set'( X ), 'unordered_pair'( X, Y ) ) ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 5, [ =( 'unordered_pair'( 'singleton_set'( X ), 'unordered_pair'( X
% 6.23/6.63 , Y ) ), 'ordered_pair'( X, Y ) ) ] )
% 6.23/6.63 , clause( 14316, [ =( 'unordered_pair'( 'singleton_set'( X ),
% 6.23/6.63 'unorCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------