TSTP Solution File: SET012-4 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET012-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 22:45:16 EDT 2022
% Result : Unsatisfiable 1.01s 1.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET012-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.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 : Sun Jul 10 19:45:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.01/1.42 *** allocated 10000 integers for termspace/termends
% 1.01/1.42 *** allocated 10000 integers for clauses
% 1.01/1.42 *** allocated 10000 integers for justifications
% 1.01/1.42 Bliksem 1.12
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Automatic Strategy Selection
% 1.01/1.42
% 1.01/1.42 Clauses:
% 1.01/1.42 [
% 1.01/1.42 [ ~( member( X, Y ) ), 'little_set'( X ) ],
% 1.01/1.42 [ 'little_set'( f1( X, Y ) ), =( X, Y ) ],
% 1.01/1.42 [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ],
% 1.01/1.42 [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ), =( X, Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 1.01/1.42 [ member( X, complement( Y ) ), ~( 'little_set'( X ) ), member( X, Y ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( member( X, 'empty_set' ) ) ],
% 1.01/1.42 [ member( X, 'universal_set' ), ~( 'little_set'( X ) ) ],
% 1.01/1.42 [ =( complement( as ), bs ) ],
% 1.01/1.42 [ =( complement( bs ), cs ) ],
% 1.01/1.42 [ ~( =( as, cs ) ) ]
% 1.01/1.42 ] .
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 percentage equality = 0.285714, percentage horn = 0.727273
% 1.01/1.42 This is a problem with some equality
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Options Used:
% 1.01/1.42
% 1.01/1.42 useres = 1
% 1.01/1.42 useparamod = 1
% 1.01/1.42 useeqrefl = 1
% 1.01/1.42 useeqfact = 1
% 1.01/1.42 usefactor = 1
% 1.01/1.42 usesimpsplitting = 0
% 1.01/1.42 usesimpdemod = 5
% 1.01/1.42 usesimpres = 3
% 1.01/1.42
% 1.01/1.42 resimpinuse = 1000
% 1.01/1.42 resimpclauses = 20000
% 1.01/1.42 substype = eqrewr
% 1.01/1.42 backwardsubs = 1
% 1.01/1.42 selectoldest = 5
% 1.01/1.42
% 1.01/1.42 litorderings [0] = split
% 1.01/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.42
% 1.01/1.42 termordering = kbo
% 1.01/1.42
% 1.01/1.42 litapriori = 0
% 1.01/1.42 termapriori = 1
% 1.01/1.42 litaposteriori = 0
% 1.01/1.42 termaposteriori = 0
% 1.01/1.42 demodaposteriori = 0
% 1.01/1.42 ordereqreflfact = 0
% 1.01/1.42
% 1.01/1.42 litselect = negord
% 1.01/1.42
% 1.01/1.42 maxweight = 15
% 1.01/1.42 maxdepth = 30000
% 1.01/1.42 maxlength = 115
% 1.01/1.42 maxnrvars = 195
% 1.01/1.42 excuselevel = 1
% 1.01/1.42 increasemaxweight = 1
% 1.01/1.42
% 1.01/1.42 maxselected = 10000000
% 1.01/1.42 maxnrclauses = 10000000
% 1.01/1.42
% 1.01/1.42 showgenerated = 0
% 1.01/1.42 showkept = 0
% 1.01/1.42 showselected = 0
% 1.01/1.42 showdeleted = 0
% 1.01/1.42 showresimp = 1
% 1.01/1.42 showstatus = 2000
% 1.01/1.42
% 1.01/1.42 prologoutput = 1
% 1.01/1.42 nrgoals = 5000000
% 1.01/1.42 totalproof = 1
% 1.01/1.42
% 1.01/1.42 Symbols occurring in the translation:
% 1.01/1.42
% 1.01/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.42 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 1.01/1.42 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 1.01/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.42 member [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.01/1.42 'little_set' [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.01/1.42 f1 [43, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.01/1.42 complement [45, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.01/1.42 'empty_set' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.01/1.42 'universal_set' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.01/1.42 as [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.01/1.42 bs [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.01/1.42 cs [50, 0] (w:1, o:16, a:1, s:1, b:0).
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Starting Search:
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Intermediate Status:
% 1.01/1.42 Generated: 3886
% 1.01/1.42 Kept: 2018
% 1.01/1.42 Inuse: 76
% 1.01/1.42 Deleted: 31
% 1.01/1.42 Deletedinuse: 2
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Intermediate Status:
% 1.01/1.42 Generated: 7390
% 1.01/1.42 Kept: 4037
% 1.01/1.42 Inuse: 116
% 1.01/1.42 Deleted: 43
% 1.01/1.42 Deletedinuse: 12
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Intermediate Status:
% 1.01/1.42 Generated: 14214
% 1.01/1.42 Kept: 6078
% 1.01/1.42 Inuse: 166
% 1.01/1.42 Deleted: 72
% 1.01/1.42 Deletedinuse: 34
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Bliksems!, er is een bewijs:
% 1.01/1.42 % SZS status Unsatisfiable
% 1.01/1.42 % SZS output start Refutation
% 1.01/1.42
% 1.01/1.42 clause( 1, [ 'little_set'( f1( X, Y ) ), =( X, Y ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 2, [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ]
% 1.01/1.42 )
% 1.01/1.42 .
% 1.01/1.42 clause( 3, [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ),
% 1.01/1.42 =( X, Y ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 4, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 5, [ member( X, complement( Y ) ), ~( 'little_set'( X ) ), member(
% 1.01/1.42 X, Y ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 8, [ =( complement( as ), bs ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 9, [ =( complement( bs ), cs ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 10, [ ~( =( cs, as ) ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 17, [ ~( =( X, as ) ), 'little_set'( f1( cs, X ) ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 22, [ 'little_set'( f1( cs, as ) ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 73, [ ~( =( X, as ) ), member( f1( cs, X ), cs ), member( f1( cs, X
% 1.01/1.42 ), X ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 78, [ member( f1( cs, as ), cs ), member( f1( cs, as ), as ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 200, [ ~( member( X, bs ) ), ~( member( X, as ) ) ] )
% 1.01/1.42 .
% 1.01/1.42 clause( 201, [ ~( membeCputime limit exceeded (core dumped)
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