%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET015-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 22:45:23 EDT 2022
% Result : Unsatisfiable 83.31s 83.75s
% Output : Refutation 83.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET015-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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 10:04:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 30.36/30.74 *** allocated 10000 integers for termspace/termends
% 30.36/30.74 *** allocated 10000 integers for clauses
% 30.36/30.74 *** allocated 10000 integers for justifications
% 30.36/30.74 Bliksem 1.12
% 30.36/30.74
% 30.36/30.74
% 30.36/30.74 Automatic Strategy Selection
% 30.36/30.74
% 30.36/30.74 Clauses:
% 30.36/30.74 [
% 30.36/30.74 [ ~( member( X, 'empty_set' ) ) ],
% 30.36/30.74 [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ],
% 30.36/30.74 [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X ) ],
% 30.36/30.74 [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y ) ]
% 30.36/30.74 ,
% 30.36/30.74 [ member( X, Y ), member( X, complement( Y ) ) ],
% 30.36/30.74 [ ~( member( X, Y ) ), ~( member( X, complement( Y ) ) ) ],
% 30.36/30.74 [ ~( member( X, Y ) ), member( X, union( Y, Z ) ) ],
% 30.36/30.74 [ ~( member( X, Y ) ), member( X, union( Z, Y ) ) ],
% 30.36/30.74 [ ~( member( X, union( Y, Z ) ) ), member( X, Y ), member( X, Z ) ],
% 30.36/30.74 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 30.36/30.74 Z ) ) ],
% 30.36/30.74 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 30.36/30.74 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 30.36/30.74 [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ],
% 30.36/30.74 [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ],
% 30.36/30.74 [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X ) ],
% 30.36/30.74 [ 'equal_sets'( X, X ) ],
% 30.36/30.74 [ ~( 'equal_sets'( X, Y ) ), 'equal_sets'( Y, X ) ],
% 30.36/30.74 [ ~( 'equal_sets'( X, Y ) ), ~( 'equal_sets'( Y, Z ) ), 'equal_sets'( X
% 30.36/30.74 , Z ) ],
% 30.36/30.74 [ 'equal_elements'( X, X ) ],
% 30.36/30.74 [ ~( 'equal_elements'( X, Y ) ), 'equal_elements'( Y, X ) ],
% 30.36/30.74 [ ~( 'equal_elements'( X, Y ) ), ~( 'equal_elements'( Y, Z ) ),
% 30.36/30.74 'equal_elements'( X, Z ) ],
% 30.36/30.74 [ 'equal_sets'( union( as, bs ), cs ) ],
% 30.36/30.74 [ 'equal_sets'( union( bs, as ), ds ) ],
% 30.36/30.74 [ ~( 'equal_sets'( cs, ds ) ) ]
% 30.36/30.74 ] .
% 30.36/30.74
% 30.36/30.74
% 30.36/30.74 percentage equality = 0.000000, percentage horn = 0.875000
% 30.36/30.74 This a non-horn, non-equality problem
% 30.36/30.74
% 30.36/30.74
% 30.36/30.74 Options Used:
% 30.36/30.74
% 30.36/30.74 useres = 1
% 30.36/30.74 useparamod = 0
% 30.36/30.74 useeqrefl = 0
% 30.36/30.74 useeqfact = 0
% 30.36/30.74 usefactor = 1
% 30.36/30.74 usesimpsplitting = 0
% 30.36/30.74 usesimpdemod = 0
% 30.36/30.74 usesimpres = 3
% 30.36/30.74
% 30.36/30.74 resimpinuse = 1000
% 30.36/30.74 resimpclauses = 20000
% 30.36/30.74 substype = standard
% 30.36/30.74 backwardsubs = 1
% 30.36/30.74 selectoldest = 5
% 30.36/30.74
% 30.36/30.74 litorderings [0] = split
% 30.36/30.74 litorderings [1] = liftord
% 30.36/30.74
% 30.36/30.74 termordering = none
% 30.36/30.74
% 30.36/30.74 litapriori = 1
% 30.36/30.74 termapriori = 0
% 30.36/30.74 litaposteriori = 0
% 30.36/30.74 termaposteriori = 0
% 30.36/30.74 demodaposteriori = 0
% 30.36/30.74 ordereqreflfact = 0
% 30.36/30.74
% 30.36/30.74 litselect = none
% 30.36/30.74
% 30.36/30.74 maxweight = 15
% 30.36/30.74 maxdepth = 30000
% 30.36/30.74 maxlength = 115
% 30.36/30.74 maxnrvars = 195
% 30.36/30.74 excuselevel = 1
% 30.36/30.74 increasemaxweight = 1
% 30.36/30.74
% 30.36/30.74 maxselected = 10000000
% 30.36/30.74 maxnrclauses = 10000000
% 30.36/30.74
% 30.36/30.74 showgenerated = 0
% 30.36/30.74 showkept = 0
% 30.36/30.74 showselected = 0
% 30.36/30.74 showdeleted = 0
% 30.36/30.74 showresimp = 1
% 30.36/30.74 showstatus = 2000
% 30.36/30.74
% 30.36/30.74 prologoutput = 1
% 30.36/30.74 nrgoals = 5000000
% 30.36/30.74 totalproof = 1
% 30.36/30.74
% 30.36/30.74 Symbols occurring in the translation:
% 30.36/30.74
% 30.36/30.74 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 30.36/30.74 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 30.36/30.74 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 30.36/30.74 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 30.36/30.74 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 30.36/30.74 'empty_set' [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 30.36/30.74 member [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 30.36/30.74 subset [45, 2] (w:1, o:57, a:1, s:1, b:0),
% 30.36/30.74 'member_of_1_not_of_2' [46, 2] (w:1, o:58, a:1, s:1, b:0),
% 30.36/30.74 complement [48, 1] (w:1, o:30, a:1, s:1, b:0),
% 30.36/30.74 union [50, 2] (w:1, o:59, a:1, s:1, b:0),
% 30.36/30.74 intersection [51, 2] (w:1, o:60, a:1, s:1, b:0),
% 30.36/30.74 'equal_sets' [52, 2] (w:1, o:61, a:1, s:1, b:0),
% 30.36/30.74 'equal_elements' [56, 2] (w:1, o:62, a:1, s:1, b:0),
% 30.36/30.74 as [59, 0] (w:1, o:22, a:1, s:1, b:0),
% 30.36/30.74 bs [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 30.36/30.74 cs [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 30.36/30.74 ds [62, 0] (w:1, o:10, a:1, s:1, b:0).
% 30.36/30.74
% 30.36/30.74
% 30.36/30.74 Starting Search:
% 30.36/30.74
% 30.36/30.74 Resimplifying inuse:
% 30.36/30.74 Done
% 30.36/30.74
% 30.36/30.74
% 30.36/30.74 Intermediate Status:
% 30.36/30.74 Generated: 3373
% 30.36/30.74 Kept: 2017
% 30.36/30.74 Inuse: 181
% 30.36/30.74 Deleted: 0
% 30.36/30.74 Deletedinuse: 0
% 30.36/30.74
% 30.36/30.74 Resimplifying inuse:
% 30.36/30.74 Done
% 30.36/30.74
% 30.36/30.74 Resimplifying inuse:
% 30.36/30.74 Done
% 30.36/30.74
% 30.36/30.74
% 30.36/30.74 Intermediate Status:
% 30.36/30.74 Generated: 8442
% 30.36/30.74 Kept: 4145
% 30.36/30.74 Inuse: 281
% 30.36/30.74 Deleted: 0
% 30.36/30.74 Deletedinuse: 0
% 30.36/30.74
% 30.36/30.74 Resimplifying inuse:
% 30.36/30.74 Done
% 30.36/30.74
% 30.36/30.74 Resimplifying inuse:
% 30.36/30.74 Done
% 30.36/30.74
% 30.36/30.74
% 30.36/30.74 Intermediate Status:
% 30.36/30.74 Generated: 12838
% 30.36/30.74 Kept: 6204
% 30.36/30.74 Inuse: 330
% 30.36/30.74 Deleted: 1
% 30.36/30.74 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 16698
% 83.31/83.75 Kept: 8233
% 83.31/83.75 Inuse: 360
% 83.31/83.75 Deleted: 1
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 20368
% 83.31/83.75 Kept: 10239
% 83.31/83.75 Inuse: 387
% 83.31/83.75 Deleted: 1
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 25573
% 83.31/83.75 Kept: 12256
% 83.31/83.75 Inuse: 429
% 83.31/83.75 Deleted: 1
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 30798
% 83.31/83.75 Kept: 14258
% 83.31/83.75 Inuse: 466
% 83.31/83.75 Deleted: 1
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 38005
% 83.31/83.75 Kept: 16290
% 83.31/83.75 Inuse: 513
% 83.31/83.75 Deleted: 1
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 44503
% 83.31/83.75 Kept: 18389
% 83.31/83.75 Inuse: 545
% 83.31/83.75 Deleted: 1
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying clauses:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 49536
% 83.31/83.75 Kept: 20410
% 83.31/83.75 Inuse: 575
% 83.31/83.75 Deleted: 29
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 55332
% 83.31/83.75 Kept: 22567
% 83.31/83.75 Inuse: 600
% 83.31/83.75 Deleted: 29
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 60412
% 83.31/83.75 Kept: 24594
% 83.31/83.75 Inuse: 629
% 83.31/83.75 Deleted: 29
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 67465
% 83.31/83.75 Kept: 26607
% 83.31/83.75 Inuse: 676
% 83.31/83.75 Deleted: 31
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 73833
% 83.31/83.75 Kept: 28689
% 83.31/83.75 Inuse: 705
% 83.31/83.75 Deleted: 33
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 79608
% 83.31/83.75 Kept: 30794
% 83.31/83.75 Inuse: 726
% 83.31/83.75 Deleted: 33
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 87143
% 83.31/83.75 Kept: 32794
% 83.31/83.75 Inuse: 753
% 83.31/83.75 Deleted: 33
% 83.31/83.75 Deletedinuse: 0
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 91821
% 83.31/83.75 Kept: 34816
% 83.31/83.75 Inuse: 775
% 83.31/83.75 Deleted: 35
% 83.31/83.75 Deletedinuse: 2
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 96640
% 83.31/83.75 Kept: 36828
% 83.31/83.75 Inuse: 798
% 83.31/83.75 Deleted: 36
% 83.31/83.75 Deletedinuse: 3
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 101056
% 83.31/83.75 Kept: 39073
% 83.31/83.75 Inuse: 816
% 83.31/83.75 Deleted: 36
% 83.31/83.75 Deletedinuse: 3
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying clauses:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 107607
% 83.31/83.75 Kept: 41110
% 83.31/83.75 Inuse: 833
% 83.31/83.75 Deleted: 199
% 83.31/83.75 Deletedinuse: 3
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 112667
% 83.31/83.75 Kept: 43122
% 83.31/83.75 Inuse: 850
% 83.31/83.75 Deleted: 199
% 83.31/83.75 Deletedinuse: 3
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 124815
% 83.31/83.75 Kept: 45129
% 83.31/83.75 Inuse: 900
% 83.31/83.75 Deleted: 201
% 83.31/83.75 Deletedinuse: 3
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 132166
% 83.31/83.75 Kept: 47143
% 83.31/83.75 Inuse: 932
% 83.31/83.75 Deleted: 201
% 83.31/83.75 Deletedinuse: 3
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 135970
% 83.31/83.75 Kept: 49154
% 83.31/83.75 Inuse: 950
% 83.31/83.75 Deleted: 260
% 83.31/83.75 Deletedinuse: 62
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 142936
% 83.31/83.75 Kept: 51177
% 83.31/83.75 Inuse: 982
% 83.31/83.75 Deleted: 261
% 83.31/83.75 Deletedinuse: 63
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 150258
% 83.31/83.75 Kept: 53290
% 83.31/83.75 Inuse: 1014
% 83.31/83.75 Deleted: 261
% 83.31/83.75 Deletedinuse: 63
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 155459
% 83.31/83.75 Kept: 55544
% 83.31/83.75 Inuse: 1039
% 83.31/83.75 Deleted: 262
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 161232
% 83.31/83.75 Kept: 57560
% 83.31/83.75 Inuse: 1061
% 83.31/83.75 Deleted: 262
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 168812
% 83.31/83.75 Kept: 59750
% 83.31/83.75 Inuse: 1084
% 83.31/83.75 Deleted: 262
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying clauses:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 175799
% 83.31/83.75 Kept: 62010
% 83.31/83.75 Inuse: 1104
% 83.31/83.75 Deleted: 2825
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 187058
% 83.31/83.75 Kept: 64029
% 83.31/83.75 Inuse: 1134
% 83.31/83.75 Deleted: 2825
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 200374
% 83.31/83.75 Kept: 66058
% 83.31/83.75 Inuse: 1169
% 83.31/83.75 Deleted: 2825
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 214570
% 83.31/83.75 Kept: 68066
% 83.31/83.75 Inuse: 1204
% 83.31/83.75 Deleted: 2825
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 229353
% 83.31/83.75 Kept: 70101
% 83.31/83.75 Inuse: 1239
% 83.31/83.75 Deleted: 2825
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 243754
% 83.31/83.75 Kept: 72133
% 83.31/83.75 Inuse: 1273
% 83.31/83.75 Deleted: 2825
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 260222
% 83.31/83.75 Kept: 74155
% 83.31/83.75 Inuse: 1308
% 83.31/83.75 Deleted: 2825
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 271602
% 83.31/83.75 Kept: 76471
% 83.31/83.75 Inuse: 1329
% 83.31/83.75 Deleted: 2825
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 283494
% 83.31/83.75 Kept: 78488
% 83.31/83.75 Inuse: 1363
% 83.31/83.75 Deleted: 2825
% 83.31/83.75 Deletedinuse: 64
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 291769
% 83.31/83.75 Kept: 80671
% 83.31/83.75 Inuse: 1389
% 83.31/83.75 Deleted: 2826
% 83.31/83.75 Deletedinuse: 65
% 83.31/83.75
% 83.31/83.75 Resimplifying clauses:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 300060
% 83.31/83.75 Kept: 82993
% 83.31/83.75 Inuse: 1414
% 83.31/83.75 Deleted: 2903
% 83.31/83.75 Deletedinuse: 66
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 307573
% 83.31/83.75 Kept: 85011
% 83.31/83.75 Inuse: 1438
% 83.31/83.75 Deleted: 2903
% 83.31/83.75 Deletedinuse: 66
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Intermediate Status:
% 83.31/83.75 Generated: 322557
% 83.31/83.75 Kept: 87113
% 83.31/83.75 Inuse: 1467
% 83.31/83.75 Deleted: 2903
% 83.31/83.75 Deletedinuse: 66
% 83.31/83.75
% 83.31/83.75 Resimplifying inuse:
% 83.31/83.75 Done
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 Bliksems!, er is een bewijs:
% 83.31/83.75 % SZS status Unsatisfiable
% 83.31/83.75 % SZS output start Refutation
% 83.31/83.75
% 83.31/83.75 clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y ) ]
% 83.31/83.75 )
% 83.31/83.75 .
% 83.31/83.75 clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y
% 83.31/83.75 ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 6, [ member( X, union( Y, Z ) ), ~( member( X, Y ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 7, [ member( X, union( Z, Y ) ), ~( member( X, Y ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 8, [ member( X, Y ), member( X, Z ), ~( member( X, union( Y, Z ) )
% 83.31/83.75 ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 9, [ ~( member( X, Z ) ), member( X, intersection( Y, Z ) ), ~(
% 83.31/83.75 member( X, Y ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 10, [ member( X, Y ), ~( member( X, intersection( Y, Z ) ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 14, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X
% 83.31/83.75 ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 16, [ 'equal_sets'( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 21, [ 'equal_sets'( union( as, bs ), cs ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 22, [ 'equal_sets'( union( bs, as ), ds ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 23, [ ~( 'equal_sets'( cs, ds ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 25, [ member( X, intersection( Y, Y ) ), ~( member( X, Y ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 26, [ 'equal_sets'( cs, union( as, bs ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 27, [ 'equal_sets'( ds, union( bs, as ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 28, [ ~( 'equal_sets'( ds, cs ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 30, [ subset( union( bs, as ), ds ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 31, [ subset( union( as, bs ), cs ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 32, [ subset( cs, union( as, bs ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 33, [ subset( ds, union( bs, as ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 35, [ ~( member( Z, X ) ), member( Z, Y ), ~( member(
% 83.31/83.75 'member_of_1_not_of_2'( X, Y ), Y ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 36, [ member( X, ds ), ~( member( X, union( bs, as ) ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 37, [ member( X, cs ), ~( member( X, union( as, bs ) ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 38, [ ~( member( X, cs ) ), member( X, union( as, bs ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 39, [ ~( member( X, ds ) ), member( X, union( bs, as ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 91, [ ~( member( X, union( Z, Y ) ) ), member( X, union( T, Z ) ),
% 83.31/83.75 member( X, Y ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 235, [ ~( subset( cs, ds ) ), ~( subset( ds, cs ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 236, [ ~( member( 'member_of_1_not_of_2'( ds, cs ), cs ) ), ~(
% 83.31/83.75 subset( cs, ds ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 237, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), ~( subset(
% 83.31/83.75 cs, ds ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 509, [ ~( member( 'member_of_1_not_of_2'( Y, Z ), Z ) ), member( X
% 83.31/83.75 , intersection( Z, Z ) ), ~( member( X, Y ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 2087, [ ~( member( 'member_of_1_not_of_2'( cs, ds ), ds ) ), member(
% 83.31/83.75 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 2088, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), member(
% 83.31/83.75 'member_of_1_not_of_2'( cs, ds ), cs ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 4659, [ member( X, union( T, Y ) ), member( X, union( Z, U ) ), ~(
% 83.31/83.75 member( X, union( Y, Z ) ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 4665, [ ~( member( X, union( Z, Y ) ) ), member( X, union( Y, Z ) )
% 83.31/83.75 ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 27265, [ ~( member( X, ds ) ), member( X, union( as, bs ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 27266, [ ~( member( X, cs ) ), member( X, union( bs, as ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 27347, [ ~( member( X, ds ) ), member( X, cs ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 28387, [ member( X, ds ), ~( member( X, cs ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 47153, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 86703, [ ~( member( 'member_of_1_not_of_2'( Y, cs ), ds ) ), member(
% 83.31/83.75 X, intersection( cs, cs ) ), ~( member( X, Y ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 86809, [ member( 'member_of_1_not_of_2'( ds, cs ), intersection( cs
% 83.31/83.75 , cs ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 86874, [ member( 'member_of_1_not_of_2'( ds, cs ), cs ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 87200, [ ~( subset( cs, ds ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 87201, [ ~( member( 'member_of_1_not_of_2'( cs, ds ), ds ) ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 87202, [ member( 'member_of_1_not_of_2'( cs, ds ), cs ) ] )
% 83.31/83.75 .
% 83.31/83.75 clause( 87414, [] )
% 83.31/83.75 .
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 % SZS output end Refutation
% 83.31/83.75 found a proof!
% 83.31/83.75
% 83.31/83.75 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 83.31/83.75
% 83.31/83.75 initialclauses(
% 83.31/83.75 [ clause( 87416, [ ~( member( X, 'empty_set' ) ) ] )
% 83.31/83.75 , clause( 87417, [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z )
% 83.31/83.75 ] )
% 83.31/83.75 , clause( 87418, [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ),
% 83.31/83.75 X ) ] )
% 83.31/83.75 , clause( 87419, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 83.31/83.75 X, Y ) ] )
% 83.31/83.75 , clause( 87420, [ member( X, Y ), member( X, complement( Y ) ) ] )
% 83.31/83.75 , clause( 87421, [ ~( member( X, Y ) ), ~( member( X, complement( Y ) ) ) ]
% 83.31/83.75 )
% 83.31/83.75 , clause( 87422, [ ~( member( X, Y ) ), member( X, union( Y, Z ) ) ] )
% 83.31/83.75 , clause( 87423, [ ~( member( X, Y ) ), member( X, union( Z, Y ) ) ] )
% 83.31/83.75 , clause( 87424, [ ~( member( X, union( Y, Z ) ) ), member( X, Y ), member(
% 83.31/83.75 X, Z ) ] )
% 83.31/83.75 , clause( 87425, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 83.31/83.75 intersection( Y, Z ) ) ] )
% 83.31/83.75 , clause( 87426, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 83.31/83.75 )
% 83.31/83.75 , clause( 87427, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 83.31/83.75 )
% 83.31/83.75 , clause( 87428, [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ] )
% 83.31/83.75 , clause( 87429, [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ] )
% 83.31/83.75 , clause( 87430, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'(
% 83.31/83.75 Y, X ) ] )
% 83.31/83.75 , clause( 87431, [ 'equal_sets'( X, X ) ] )
% 83.31/83.75 , clause( 87432, [ ~( 'equal_sets'( X, Y ) ), 'equal_sets'( Y, X ) ] )
% 83.31/83.75 , clause( 87433, [ ~( 'equal_sets'( X, Y ) ), ~( 'equal_sets'( Y, Z ) ),
% 83.31/83.75 'equal_sets'( X, Z ) ] )
% 83.31/83.75 , clause( 87434, [ 'equal_elements'( X, X ) ] )
% 83.31/83.75 , clause( 87435, [ ~( 'equal_elements'( X, Y ) ), 'equal_elements'( Y, X )
% 83.31/83.75 ] )
% 83.31/83.75 , clause( 87436, [ ~( 'equal_elements'( X, Y ) ), ~( 'equal_elements'( Y, Z
% 83.31/83.75 ) ), 'equal_elements'( X, Z ) ] )
% 83.31/83.75 , clause( 87437, [ 'equal_sets'( union( as, bs ), cs ) ] )
% 83.31/83.75 , clause( 87438, [ 'equal_sets'( union( bs, as ), ds ) ] )
% 83.31/83.75 , clause( 87439, [ ~( 'equal_sets'( cs, ds ) ) ] )
% 83.31/83.75 ] ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ] )
% 83.31/83.75 , clause( 87417, [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z )
% 83.31/83.75 ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.31/83.75 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y ) ]
% 83.31/83.75 )
% 83.31/83.75 , clause( 87418, [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ),
% 83.31/83.75 X ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 83.31/83.75 ), ==>( 1, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y
% 83.31/83.75 ) ] )
% 83.31/83.75 , clause( 87419, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 83.31/83.75 X, Y ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.31/83.75 ), ==>( 1, 1 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 6, [ member( X, union( Y, Z ) ), ~( member( X, Y ) ) ] )
% 83.31/83.75 , clause( 87422, [ ~( member( X, Y ) ), member( X, union( Y, Z ) ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.31/83.75 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 7, [ member( X, union( Z, Y ) ), ~( member( X, Y ) ) ] )
% 83.31/83.75 , clause( 87423, [ ~( member( X, Y ) ), member( X, union( Z, Y ) ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.31/83.75 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 8, [ member( X, Y ), member( X, Z ), ~( member( X, union( Y, Z ) )
% 83.31/83.75 ) ] )
% 83.31/83.75 , clause( 87424, [ ~( member( X, union( Y, Z ) ) ), member( X, Y ), member(
% 83.31/83.75 X, Z ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.31/83.75 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 9, [ ~( member( X, Z ) ), member( X, intersection( Y, Z ) ), ~(
% 83.31/83.75 member( X, Y ) ) ] )
% 83.31/83.75 , clause( 87425, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 83.31/83.75 intersection( Y, Z ) ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.31/83.75 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 10, [ member( X, Y ), ~( member( X, intersection( Y, Z ) ) ) ] )
% 83.31/83.75 , clause( 87426, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 83.31/83.75 )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.31/83.75 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 , clause( 87429, [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 83.31/83.75 ), ==>( 1, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 14, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X
% 83.31/83.75 ) ] )
% 83.31/83.75 , clause( 87430, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'(
% 83.31/83.75 Y, X ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.31/83.75 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 16, [ 'equal_sets'( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 , clause( 87432, [ ~( 'equal_sets'( X, Y ) ), 'equal_sets'( Y, X ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 83.31/83.75 ), ==>( 1, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 21, [ 'equal_sets'( union( as, bs ), cs ) ] )
% 83.31/83.75 , clause( 87437, [ 'equal_sets'( union( as, bs ), cs ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 22, [ 'equal_sets'( union( bs, as ), ds ) ] )
% 83.31/83.75 , clause( 87438, [ 'equal_sets'( union( bs, as ), ds ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 23, [ ~( 'equal_sets'( cs, ds ) ) ] )
% 83.31/83.75 , clause( 87439, [ ~( 'equal_sets'( cs, ds ) ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 factor(
% 83.31/83.75 clause( 87468, [ ~( member( X, Y ) ), member( X, intersection( Y, Y ) ) ]
% 83.31/83.75 )
% 83.31/83.75 , clause( 9, [ ~( member( X, Z ) ), member( X, intersection( Y, Z ) ), ~(
% 83.31/83.75 member( X, Y ) ) ] )
% 83.31/83.75 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 25, [ member( X, intersection( Y, Y ) ), ~( member( X, Y ) ) ] )
% 83.31/83.75 , clause( 87468, [ ~( member( X, Y ) ), member( X, intersection( Y, Y ) ) ]
% 83.31/83.75 )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 83.31/83.75 ), ==>( 1, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87469, [ 'equal_sets'( cs, union( as, bs ) ) ] )
% 83.31/83.75 , clause( 16, [ 'equal_sets'( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 , 1, clause( 21, [ 'equal_sets'( union( as, bs ), cs ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, union( as, bs ) ), :=( Y, cs )] ),
% 83.31/83.75 substitution( 1, [] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 26, [ 'equal_sets'( cs, union( as, bs ) ) ] )
% 83.31/83.75 , clause( 87469, [ 'equal_sets'( cs, union( as, bs ) ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87470, [ 'equal_sets'( ds, union( bs, as ) ) ] )
% 83.31/83.75 , clause( 16, [ 'equal_sets'( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 , 1, clause( 22, [ 'equal_sets'( union( bs, as ), ds ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, union( bs, as ) ), :=( Y, ds )] ),
% 83.31/83.75 substitution( 1, [] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 27, [ 'equal_sets'( ds, union( bs, as ) ) ] )
% 83.31/83.75 , clause( 87470, [ 'equal_sets'( ds, union( bs, as ) ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87471, [ ~( 'equal_sets'( ds, cs ) ) ] )
% 83.31/83.75 , clause( 23, [ ~( 'equal_sets'( cs, ds ) ) ] )
% 83.31/83.75 , 0, clause( 16, [ 'equal_sets'( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, ds ), :=( Y, cs )] )
% 83.31/83.75 ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 28, [ ~( 'equal_sets'( ds, cs ) ) ] )
% 83.31/83.75 , clause( 87471, [ ~( 'equal_sets'( ds, cs ) ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87472, [ subset( union( bs, as ), ds ) ] )
% 83.31/83.75 , clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 , 1, clause( 27, [ 'equal_sets'( ds, union( bs, as ) ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, ds ), :=( Y, union( bs, as ) )] ),
% 83.31/83.75 substitution( 1, [] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 30, [ subset( union( bs, as ), ds ) ] )
% 83.31/83.75 , clause( 87472, [ subset( union( bs, as ), ds ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87473, [ subset( union( as, bs ), cs ) ] )
% 83.31/83.75 , clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 , 1, clause( 26, [ 'equal_sets'( cs, union( as, bs ) ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, cs ), :=( Y, union( as, bs ) )] ),
% 83.31/83.75 substitution( 1, [] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 31, [ subset( union( as, bs ), cs ) ] )
% 83.31/83.75 , clause( 87473, [ subset( union( as, bs ), cs ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87474, [ subset( cs, union( as, bs ) ) ] )
% 83.31/83.75 , clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 , 1, clause( 21, [ 'equal_sets'( union( as, bs ), cs ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, union( as, bs ) ), :=( Y, cs )] ),
% 83.31/83.75 substitution( 1, [] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 32, [ subset( cs, union( as, bs ) ) ] )
% 83.31/83.75 , clause( 87474, [ subset( cs, union( as, bs ) ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87475, [ subset( ds, union( bs, as ) ) ] )
% 83.31/83.75 , clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 83.31/83.75 , 1, clause( 22, [ 'equal_sets'( union( bs, as ), ds ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, union( bs, as ) ), :=( Y, ds )] ),
% 83.31/83.75 substitution( 1, [] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 33, [ subset( ds, union( bs, as ) ) ] )
% 83.31/83.75 , clause( 87475, [ subset( ds, union( bs, as ) ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87477, [ ~( member( X, Y ) ), member( X, Z ), ~( member(
% 83.31/83.75 'member_of_1_not_of_2'( Y, Z ), Z ) ) ] )
% 83.31/83.75 , clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 83.31/83.75 )
% 83.31/83.75 , 2, clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 83.31/83.75 X, Y ) ] )
% 83.31/83.75 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.31/83.75 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 35, [ ~( member( Z, X ) ), member( Z, Y ), ~( member(
% 83.31/83.75 'member_of_1_not_of_2'( X, Y ), Y ) ) ] )
% 83.31/83.75 , clause( 87477, [ ~( member( X, Y ) ), member( X, Z ), ~( member(
% 83.31/83.75 'member_of_1_not_of_2'( Y, Z ), Z ) ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 83.31/83.75 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87479, [ ~( member( X, union( bs, as ) ) ), member( X, ds ) ] )
% 83.31/83.75 , clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 83.31/83.75 )
% 83.31/83.75 , 2, clause( 30, [ subset( union( bs, as ), ds ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, union( bs, as ) ), :=( Z, ds )] )
% 83.31/83.75 , substitution( 1, [] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 36, [ member( X, ds ), ~( member( X, union( bs, as ) ) ) ] )
% 83.31/83.75 , clause( 87479, [ ~( member( X, union( bs, as ) ) ), member( X, ds ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 83.31/83.75 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87480, [ ~( member( X, union( as, bs ) ) ), member( X, cs ) ] )
% 83.31/83.75 , clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 83.31/83.75 )
% 83.31/83.75 , 2, clause( 31, [ subset( union( as, bs ), cs ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, union( as, bs ) ), :=( Z, cs )] )
% 83.31/83.75 , substitution( 1, [] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 37, [ member( X, cs ), ~( member( X, union( as, bs ) ) ) ] )
% 83.31/83.75 , clause( 87480, [ ~( member( X, union( as, bs ) ) ), member( X, cs ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 83.31/83.75 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87481, [ ~( member( X, cs ) ), member( X, union( as, bs ) ) ] )
% 83.31/83.75 , clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 83.31/83.75 )
% 83.31/83.75 , 2, clause( 32, [ subset( cs, union( as, bs ) ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, cs ), :=( Z, union( as, bs ) )] )
% 83.31/83.75 , substitution( 1, [] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 38, [ ~( member( X, cs ) ), member( X, union( as, bs ) ) ] )
% 83.31/83.75 , clause( 87481, [ ~( member( X, cs ) ), member( X, union( as, bs ) ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 83.31/83.75 1 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87482, [ ~( member( X, ds ) ), member( X, union( bs, as ) ) ] )
% 83.31/83.75 , clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 83.31/83.75 )
% 83.31/83.75 , 2, clause( 33, [ subset( ds, union( bs, as ) ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, ds ), :=( Z, union( bs, as ) )] )
% 83.31/83.75 , substitution( 1, [] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 39, [ ~( member( X, ds ) ), member( X, union( bs, as ) ) ] )
% 83.31/83.75 , clause( 87482, [ ~( member( X, ds ) ), member( X, union( bs, as ) ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 83.31/83.75 1 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87485, [ member( X, union( Y, Z ) ), member( X, T ), ~( member( X,
% 83.31/83.75 union( Z, T ) ) ) ] )
% 83.31/83.75 , clause( 7, [ member( X, union( Z, Y ) ), ~( member( X, Y ) ) ] )
% 83.31/83.75 , 1, clause( 8, [ member( X, Y ), member( X, Z ), ~( member( X, union( Y, Z
% 83.31/83.75 ) ) ) ] )
% 83.31/83.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 83.31/83.75 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] )).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 91, [ ~( member( X, union( Z, Y ) ) ), member( X, union( T, Z ) ),
% 83.31/83.75 member( X, Y ) ] )
% 83.31/83.75 , clause( 87485, [ member( X, union( Y, Z ) ), member( X, T ), ~( member( X
% 83.31/83.75 , union( Z, T ) ) ) ] )
% 83.31/83.75 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, Y )] ),
% 83.31/83.75 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87489, [ ~( subset( cs, ds ) ), ~( subset( ds, cs ) ) ] )
% 83.31/83.75 , clause( 28, [ ~( 'equal_sets'( ds, cs ) ) ] )
% 83.31/83.75 , 0, clause( 14, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'(
% 83.31/83.75 Y, X ) ] )
% 83.31/83.75 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, cs ), :=( Y, ds )] )
% 83.31/83.75 ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 235, [ ~( subset( cs, ds ) ), ~( subset( ds, cs ) ) ] )
% 83.31/83.75 , clause( 87489, [ ~( subset( cs, ds ) ), ~( subset( ds, cs ) ) ] )
% 83.31/83.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 83.31/83.75 ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 resolution(
% 83.31/83.75 clause( 87491, [ ~( subset( cs, ds ) ), ~( member( 'member_of_1_not_of_2'(
% 83.31/83.75 ds, cs ), cs ) ) ] )
% 83.31/83.75 , clause( 235, [ ~( subset( cs, ds ) ), ~( subset( ds, cs ) ) ] )
% 83.31/83.75 , 1, clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 83.31/83.75 X, Y ) ] )
% 83.31/83.75 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, ds ), :=( Y, cs )] )
% 83.31/83.75 ).
% 83.31/83.75
% 83.31/83.75
% 83.31/83.75 subsumption(
% 83.31/83.75 clause( 236, [ ~( member( 'member_of_1_not_of_2'( ds, cs ), cs ) ), ~(
% 83.31/83.75 subset( cs, ds ) ) ] )
% 83.31/83.75 , clause( 87491, [ ~( subset( cs, ds ) ), ~( member( 'member_of_1_not_of_2'(
% 83.31/83.76 ds, cs ), cs ) ) ] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87493, [ ~( subset( cs, ds ) ), member( 'member_of_1_not_of_2'( ds
% 83.31/83.76 , cs ), ds ) ] )
% 83.31/83.76 , clause( 235, [ ~( subset( cs, ds ) ), ~( subset( ds, cs ) ) ] )
% 83.31/83.76 , 1, clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 83.31/83.76 ) ] )
% 83.31/83.76 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, ds ), :=( Y, cs )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 237, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), ~( subset(
% 83.31/83.76 cs, ds ) ) ] )
% 83.31/83.76 , clause( 87493, [ ~( subset( cs, ds ) ), member( 'member_of_1_not_of_2'(
% 83.31/83.76 ds, cs ), ds ) ] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87498, [ member( X, intersection( Y, Y ) ), ~( member( X, Z ) ),
% 83.31/83.76 ~( member( 'member_of_1_not_of_2'( Z, Y ), Y ) ) ] )
% 83.31/83.76 , clause( 25, [ member( X, intersection( Y, Y ) ), ~( member( X, Y ) ) ] )
% 83.31/83.76 , 1, clause( 35, [ ~( member( Z, X ) ), member( Z, Y ), ~( member(
% 83.31/83.76 'member_of_1_not_of_2'( X, Y ), Y ) ) ] )
% 83.31/83.76 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 83.31/83.76 , Z ), :=( Y, Y ), :=( Z, X )] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 509, [ ~( member( 'member_of_1_not_of_2'( Y, Z ), Z ) ), member( X
% 83.31/83.76 , intersection( Z, Z ) ), ~( member( X, Y ) ) ] )
% 83.31/83.76 , clause( 87498, [ member( X, intersection( Y, Y ) ), ~( member( X, Z ) ),
% 83.31/83.76 ~( member( 'member_of_1_not_of_2'( Z, Y ), Y ) ) ] )
% 83.31/83.76 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 83.31/83.76 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87500, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), ~( member(
% 83.31/83.76 'member_of_1_not_of_2'( cs, ds ), ds ) ) ] )
% 83.31/83.76 , clause( 237, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), ~( subset(
% 83.31/83.76 cs, ds ) ) ] )
% 83.31/83.76 , 1, clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 83.31/83.76 X, Y ) ] )
% 83.31/83.76 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, cs ), :=( Y, ds )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 2087, [ ~( member( 'member_of_1_not_of_2'( cs, ds ), ds ) ), member(
% 83.31/83.76 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.76 , clause( 87500, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), ~(
% 83.31/83.76 member( 'member_of_1_not_of_2'( cs, ds ), ds ) ) ] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87501, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), member(
% 83.31/83.76 'member_of_1_not_of_2'( cs, ds ), cs ) ] )
% 83.31/83.76 , clause( 237, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), ~( subset(
% 83.31/83.76 cs, ds ) ) ] )
% 83.31/83.76 , 1, clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 83.31/83.76 ) ] )
% 83.31/83.76 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, cs ), :=( Y, ds )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 2088, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), member(
% 83.31/83.76 'member_of_1_not_of_2'( cs, ds ), cs ) ] )
% 83.31/83.76 , clause( 87501, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), member(
% 83.31/83.76 'member_of_1_not_of_2'( cs, ds ), cs ) ] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87505, [ member( X, union( Y, Z ) ), ~( member( X, union( T, Y ) )
% 83.31/83.76 ), member( X, union( U, T ) ) ] )
% 83.31/83.76 , clause( 6, [ member( X, union( Y, Z ) ), ~( member( X, Y ) ) ] )
% 83.31/83.76 , 1, clause( 91, [ ~( member( X, union( Z, Y ) ) ), member( X, union( T, Z
% 83.31/83.76 ) ), member( X, Y ) ] )
% 83.31/83.76 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.31/83.76 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, U )] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 4659, [ member( X, union( T, Y ) ), member( X, union( Z, U ) ), ~(
% 83.31/83.76 member( X, union( Y, Z ) ) ) ] )
% 83.31/83.76 , clause( 87505, [ member( X, union( Y, Z ) ), ~( member( X, union( T, Y )
% 83.31/83.76 ) ), member( X, union( U, T ) ) ] )
% 83.31/83.76 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, U ), :=( T, Y ), :=( U
% 83.31/83.76 , T )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 factor(
% 83.31/83.76 clause( 87508, [ member( X, union( Y, Z ) ), ~( member( X, union( Z, Y ) )
% 83.31/83.76 ) ] )
% 83.31/83.76 , clause( 4659, [ member( X, union( T, Y ) ), member( X, union( Z, U ) ),
% 83.31/83.76 ~( member( X, union( Y, Z ) ) ) ] )
% 83.31/83.76 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, Y ),
% 83.31/83.76 :=( U, Z )] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 4665, [ ~( member( X, union( Z, Y ) ) ), member( X, union( Y, Z ) )
% 83.31/83.76 ] )
% 83.31/83.76 , clause( 87508, [ member( X, union( Y, Z ) ), ~( member( X, union( Z, Y )
% 83.31/83.76 ) ) ] )
% 83.31/83.76 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.31/83.76 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87509, [ member( X, union( as, bs ) ), ~( member( X, ds ) ) ] )
% 83.31/83.76 , clause( 4665, [ ~( member( X, union( Z, Y ) ) ), member( X, union( Y, Z )
% 83.31/83.76 ) ] )
% 83.31/83.76 , 0, clause( 39, [ ~( member( X, ds ) ), member( X, union( bs, as ) ) ] )
% 83.31/83.76 , 1, substitution( 0, [ :=( X, X ), :=( Y, as ), :=( Z, bs )] ),
% 83.31/83.76 substitution( 1, [ :=( X, X )] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 27265, [ ~( member( X, ds ) ), member( X, union( as, bs ) ) ] )
% 83.31/83.76 , clause( 87509, [ member( X, union( as, bs ) ), ~( member( X, ds ) ) ] )
% 83.31/83.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 83.31/83.76 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87510, [ member( X, union( bs, as ) ), ~( member( X, cs ) ) ] )
% 83.31/83.76 , clause( 4665, [ ~( member( X, union( Z, Y ) ) ), member( X, union( Y, Z )
% 83.31/83.76 ) ] )
% 83.31/83.76 , 0, clause( 38, [ ~( member( X, cs ) ), member( X, union( as, bs ) ) ] )
% 83.31/83.76 , 1, substitution( 0, [ :=( X, X ), :=( Y, bs ), :=( Z, as )] ),
% 83.31/83.76 substitution( 1, [ :=( X, X )] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 27266, [ ~( member( X, cs ) ), member( X, union( bs, as ) ) ] )
% 83.31/83.76 , clause( 87510, [ member( X, union( bs, as ) ), ~( member( X, cs ) ) ] )
% 83.31/83.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 83.31/83.76 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87511, [ member( X, cs ), ~( member( X, ds ) ) ] )
% 83.31/83.76 , clause( 37, [ member( X, cs ), ~( member( X, union( as, bs ) ) ) ] )
% 83.31/83.76 , 1, clause( 27265, [ ~( member( X, ds ) ), member( X, union( as, bs ) ) ]
% 83.31/83.76 )
% 83.31/83.76 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 27347, [ ~( member( X, ds ) ), member( X, cs ) ] )
% 83.31/83.76 , clause( 87511, [ member( X, cs ), ~( member( X, ds ) ) ] )
% 83.31/83.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 83.31/83.76 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87512, [ member( X, ds ), ~( member( X, cs ) ) ] )
% 83.31/83.76 , clause( 36, [ member( X, ds ), ~( member( X, union( bs, as ) ) ) ] )
% 83.31/83.76 , 1, clause( 27266, [ ~( member( X, cs ) ), member( X, union( bs, as ) ) ]
% 83.31/83.76 )
% 83.31/83.76 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 28387, [ member( X, ds ), ~( member( X, cs ) ) ] )
% 83.31/83.76 , clause( 87512, [ member( X, ds ), ~( member( X, cs ) ) ] )
% 83.31/83.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 83.31/83.76 1 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87513, [ member( 'member_of_1_not_of_2'( cs, ds ), ds ), member(
% 83.31/83.76 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.76 , clause( 28387, [ member( X, ds ), ~( member( X, cs ) ) ] )
% 83.31/83.76 , 1, clause( 2088, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), member(
% 83.31/83.76 'member_of_1_not_of_2'( cs, ds ), cs ) ] )
% 83.31/83.76 , 1, substitution( 0, [ :=( X, 'member_of_1_not_of_2'( cs, ds ) )] ),
% 83.31/83.76 substitution( 1, [] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87514, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), member(
% 83.31/83.76 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.76 , clause( 2087, [ ~( member( 'member_of_1_not_of_2'( cs, ds ), ds ) ),
% 83.31/83.76 member( 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.76 , 0, clause( 87513, [ member( 'member_of_1_not_of_2'( cs, ds ), ds ),
% 83.31/83.76 member( 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.76 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 factor(
% 83.31/83.76 clause( 87515, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.76 , clause( 87514, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ), member(
% 83.31/83.76 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.76 , 0, 1, substitution( 0, [] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 47153, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.76 , clause( 87515, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87516, [ member( Y, intersection( cs, cs ) ), ~( member( Y, X ) ),
% 83.31/83.76 ~( member( 'member_of_1_not_of_2'( X, cs ), ds ) ) ] )
% 83.31/83.76 , clause( 509, [ ~( member( 'member_of_1_not_of_2'( Y, Z ), Z ) ), member(
% 83.31/83.76 X, intersection( Z, Z ) ), ~( member( X, Y ) ) ] )
% 83.31/83.76 , 0, clause( 27347, [ ~( member( X, ds ) ), member( X, cs ) ] )
% 83.31/83.76 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, cs )] ),
% 83.31/83.76 substitution( 1, [ :=( X, 'member_of_1_not_of_2'( X, cs ) )] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 86703, [ ~( member( 'member_of_1_not_of_2'( Y, cs ), ds ) ), member(
% 83.31/83.76 X, intersection( cs, cs ) ), ~( member( X, Y ) ) ] )
% 83.31/83.76 , clause( 87516, [ member( Y, intersection( cs, cs ) ), ~( member( Y, X ) )
% 83.31/83.76 , ~( member( 'member_of_1_not_of_2'( X, cs ), ds ) ) ] )
% 83.31/83.76 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 83.31/83.76 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 factor(
% 83.31/83.76 clause( 87520, [ ~( member( 'member_of_1_not_of_2'( ds, cs ), ds ) ),
% 83.31/83.76 member( 'member_of_1_not_of_2'( ds, cs ), intersection( cs, cs ) ) ] )
% 83.31/83.76 , clause( 86703, [ ~( member( 'member_of_1_not_of_2'( Y, cs ), ds ) ),
% 83.31/83.76 member( X, intersection( cs, cs ) ), ~( member( X, Y ) ) ] )
% 83.31/83.76 , 0, 2, substitution( 0, [ :=( X, 'member_of_1_not_of_2'( ds, cs ) ), :=( Y
% 83.31/83.76 , ds )] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87521, [ member( 'member_of_1_not_of_2'( ds, cs ), intersection( cs
% 83.31/83.76 , cs ) ) ] )
% 83.31/83.76 , clause( 87520, [ ~( member( 'member_of_1_not_of_2'( ds, cs ), ds ) ),
% 83.31/83.76 member( 'member_of_1_not_of_2'( ds, cs ), intersection( cs, cs ) ) ] )
% 83.31/83.76 , 0, clause( 47153, [ member( 'member_of_1_not_of_2'( ds, cs ), ds ) ] )
% 83.31/83.76 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 86809, [ member( 'member_of_1_not_of_2'( ds, cs ), intersection( cs
% 83.31/83.76 , cs ) ) ] )
% 83.31/83.76 , clause( 87521, [ member( 'member_of_1_not_of_2'( ds, cs ), intersection(
% 83.31/83.76 cs, cs ) ) ] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87522, [ member( 'member_of_1_not_of_2'( ds, cs ), cs ) ] )
% 83.31/83.76 , clause( 10, [ member( X, Y ), ~( member( X, intersection( Y, Z ) ) ) ] )
% 83.31/83.76 , 1, clause( 86809, [ member( 'member_of_1_not_of_2'( ds, cs ),
% 83.31/83.76 intersection( cs, cs ) ) ] )
% 83.31/83.76 , 0, substitution( 0, [ :=( X, 'member_of_1_not_of_2'( ds, cs ) ), :=( Y,
% 83.31/83.76 cs ), :=( Z, cs )] ), substitution( 1, [] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 86874, [ member( 'member_of_1_not_of_2'( ds, cs ), cs ) ] )
% 83.31/83.76 , clause( 87522, [ member( 'member_of_1_not_of_2'( ds, cs ), cs ) ] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87523, [ ~( subset( cs, ds ) ) ] )
% 83.31/83.76 , clause( 236, [ ~( member( 'member_of_1_not_of_2'( ds, cs ), cs ) ), ~(
% 83.31/83.76 subset( cs, ds ) ) ] )
% 83.31/83.76 , 0, clause( 86874, [ member( 'member_of_1_not_of_2'( ds, cs ), cs ) ] )
% 83.31/83.76 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 87200, [ ~( subset( cs, ds ) ) ] )
% 83.31/83.76 , clause( 87523, [ ~( subset( cs, ds ) ) ] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87524, [ ~( member( 'member_of_1_not_of_2'( cs, ds ), ds ) ) ] )
% 83.31/83.76 , clause( 87200, [ ~( subset( cs, ds ) ) ] )
% 83.31/83.76 , 0, clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 83.31/83.76 X, Y ) ] )
% 83.31/83.76 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, cs ), :=( Y, ds )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 87201, [ ~( member( 'member_of_1_not_of_2'( cs, ds ), ds ) ) ] )
% 83.31/83.76 , clause( 87524, [ ~( member( 'member_of_1_not_of_2'( cs, ds ), ds ) ) ] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87525, [ member( 'member_of_1_not_of_2'( cs, ds ), cs ) ] )
% 83.31/83.76 , clause( 87200, [ ~( subset( cs, ds ) ) ] )
% 83.31/83.76 , 0, clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 83.31/83.76 ) ] )
% 83.31/83.76 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, cs ), :=( Y, ds )] )
% 83.31/83.76 ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 87202, [ member( 'member_of_1_not_of_2'( cs, ds ), cs ) ] )
% 83.31/83.76 , clause( 87525, [ member( 'member_of_1_not_of_2'( cs, ds ), cs ) ] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87526, [ member( 'member_of_1_not_of_2'( cs, ds ), ds ) ] )
% 83.31/83.76 , clause( 28387, [ member( X, ds ), ~( member( X, cs ) ) ] )
% 83.31/83.76 , 1, clause( 87202, [ member( 'member_of_1_not_of_2'( cs, ds ), cs ) ] )
% 83.31/83.76 , 0, substitution( 0, [ :=( X, 'member_of_1_not_of_2'( cs, ds ) )] ),
% 83.31/83.76 substitution( 1, [] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 resolution(
% 83.31/83.76 clause( 87527, [] )
% 83.31/83.76 , clause( 87201, [ ~( member( 'member_of_1_not_of_2'( cs, ds ), ds ) ) ] )
% 83.31/83.76 , 0, clause( 87526, [ member( 'member_of_1_not_of_2'( cs, ds ), ds ) ] )
% 83.31/83.76 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 subsumption(
% 83.31/83.76 clause( 87414, [] )
% 83.31/83.76 , clause( 87527, [] )
% 83.31/83.76 , substitution( 0, [] ), permutation( 0, [] ) ).
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 end.
% 83.31/83.76
% 83.31/83.76 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 83.31/83.76
% 83.31/83.76 Memory use:
% 83.31/83.76
% 83.31/83.76 space for terms: 1255922
% 83.31/83.76 space for clauses: 4699443
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 clauses generated: 324757
% 83.31/83.76 clauses kept: 87415
% 83.31/83.76 clauses selected: 1472
% 83.31/83.76 clauses deleted: 2905
% 83.31/83.76 clauses inuse deleted: 68
% 83.31/83.76
% 83.31/83.76 subsentry: 2529469
% 83.31/83.76 literals s-matched: 825118
% 83.31/83.76 literals matched: 755170
% 83.31/83.76 full subsumption: 289004
% 83.31/83.76
% 83.31/83.76 checksum: -1211287455
% 83.31/83.76
% 83.31/83.76
% 83.31/83.76 Bliksem ended
%------------------------------------------------------------------------------