TSTP Solution File: SET012-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET012-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 22:45:15 EDT 2022
% Result : Unsatisfiable 102.52s 102.88s
% Output : Refutation 102.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET012-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n020.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 : Mon Jul 11 06:10:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 49.10/49.51 *** allocated 10000 integers for termspace/termends
% 49.10/49.51 *** allocated 10000 integers for clauses
% 49.10/49.51 *** allocated 10000 integers for justifications
% 49.10/49.51 Bliksem 1.12
% 49.10/49.51
% 49.10/49.51
% 49.10/49.51 Automatic Strategy Selection
% 49.10/49.51
% 49.10/49.51 Clauses:
% 49.10/49.51 [
% 49.10/49.51 [ ~( member( X, 'empty_set' ) ) ],
% 49.10/49.51 [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ],
% 49.10/49.51 [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X ) ],
% 49.10/49.51 [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y ) ]
% 49.10/49.51 ,
% 49.10/49.51 [ member( X, Y ), member( X, complement( Y ) ) ],
% 49.10/49.51 [ ~( member( X, Y ) ), ~( member( X, complement( Y ) ) ) ],
% 49.10/49.51 [ ~( member( X, Y ) ), member( X, union( Y, Z ) ) ],
% 49.10/49.51 [ ~( member( X, Y ) ), member( X, union( Z, Y ) ) ],
% 49.10/49.51 [ ~( member( X, union( Y, Z ) ) ), member( X, Y ), member( X, Z ) ],
% 49.10/49.51 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 49.10/49.51 Z ) ) ],
% 49.10/49.51 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 49.10/49.51 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 49.10/49.51 [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ],
% 49.10/49.51 [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ],
% 49.10/49.51 [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X ) ],
% 49.10/49.51 [ 'equal_sets'( X, X ) ],
% 49.10/49.51 [ ~( 'equal_sets'( X, Y ) ), 'equal_sets'( Y, X ) ],
% 49.10/49.51 [ ~( 'equal_sets'( X, Y ) ), ~( 'equal_sets'( Y, Z ) ), 'equal_sets'( X
% 49.10/49.51 , Z ) ],
% 49.10/49.51 [ 'equal_elements'( X, X ) ],
% 49.10/49.51 [ ~( 'equal_elements'( X, Y ) ), 'equal_elements'( Y, X ) ],
% 49.10/49.51 [ ~( 'equal_elements'( X, Y ) ), ~( 'equal_elements'( Y, Z ) ),
% 49.10/49.51 'equal_elements'( X, Z ) ],
% 49.10/49.51 [ 'equal_sets'( complement( a ), b ) ],
% 49.10/49.51 [ 'equal_sets'( complement( b ), c ) ],
% 49.10/49.51 [ ~( 'equal_sets'( a, c ) ) ]
% 49.10/49.51 ] .
% 49.10/49.51
% 49.10/49.51
% 49.10/49.51 percentage equality = 0.000000, percentage horn = 0.875000
% 49.10/49.51 This a non-horn, non-equality problem
% 49.10/49.51
% 49.10/49.51
% 49.10/49.51 Options Used:
% 49.10/49.51
% 49.10/49.51 useres = 1
% 49.10/49.51 useparamod = 0
% 49.10/49.51 useeqrefl = 0
% 49.10/49.51 useeqfact = 0
% 49.10/49.51 usefactor = 1
% 49.10/49.51 usesimpsplitting = 0
% 49.10/49.51 usesimpdemod = 0
% 49.10/49.51 usesimpres = 3
% 49.10/49.51
% 49.10/49.51 resimpinuse = 1000
% 49.10/49.51 resimpclauses = 20000
% 49.10/49.51 substype = standard
% 49.10/49.51 backwardsubs = 1
% 49.10/49.51 selectoldest = 5
% 49.10/49.51
% 49.10/49.51 litorderings [0] = split
% 49.10/49.51 litorderings [1] = liftord
% 49.10/49.51
% 49.10/49.51 termordering = none
% 49.10/49.51
% 49.10/49.51 litapriori = 1
% 49.10/49.51 termapriori = 0
% 49.10/49.51 litaposteriori = 0
% 49.10/49.51 termaposteriori = 0
% 49.10/49.51 demodaposteriori = 0
% 49.10/49.51 ordereqreflfact = 0
% 49.10/49.51
% 49.10/49.51 litselect = none
% 49.10/49.51
% 49.10/49.51 maxweight = 15
% 49.10/49.51 maxdepth = 30000
% 49.10/49.51 maxlength = 115
% 49.10/49.51 maxnrvars = 195
% 49.10/49.51 excuselevel = 1
% 49.10/49.51 increasemaxweight = 1
% 49.10/49.51
% 49.10/49.51 maxselected = 10000000
% 49.10/49.51 maxnrclauses = 10000000
% 49.10/49.51
% 49.10/49.51 showgenerated = 0
% 49.10/49.51 showkept = 0
% 49.10/49.51 showselected = 0
% 49.10/49.51 showdeleted = 0
% 49.10/49.51 showresimp = 1
% 49.10/49.51 showstatus = 2000
% 49.10/49.51
% 49.10/49.51 prologoutput = 1
% 49.10/49.51 nrgoals = 5000000
% 49.10/49.51 totalproof = 1
% 49.10/49.51
% 49.10/49.51 Symbols occurring in the translation:
% 49.10/49.51
% 49.10/49.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 49.10/49.51 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 49.10/49.51 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 49.10/49.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 49.10/49.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 49.10/49.51 'empty_set' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 49.10/49.51 member [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 49.10/49.51 subset [45, 2] (w:1, o:56, a:1, s:1, b:0),
% 49.10/49.51 'member_of_1_not_of_2' [46, 2] (w:1, o:57, a:1, s:1, b:0),
% 49.10/49.51 complement [48, 1] (w:1, o:29, a:1, s:1, b:0),
% 49.10/49.51 union [50, 2] (w:1, o:58, a:1, s:1, b:0),
% 49.10/49.51 intersection [51, 2] (w:1, o:59, a:1, s:1, b:0),
% 49.10/49.51 'equal_sets' [52, 2] (w:1, o:60, a:1, s:1, b:0),
% 49.10/49.51 'equal_elements' [56, 2] (w:1, o:61, a:1, s:1, b:0),
% 49.10/49.51 a [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 49.10/49.51 b [60, 0] (w:1, o:22, a:1, s:1, b:0),
% 49.10/49.51 c [61, 0] (w:1, o:23, a:1, s:1, b:0).
% 49.10/49.51
% 49.10/49.51
% 49.10/49.51 Starting Search:
% 49.10/49.51
% 49.10/49.51 Resimplifying inuse:
% 49.10/49.51 Done
% 49.10/49.51
% 49.10/49.51
% 49.10/49.51 Intermediate Status:
% 49.10/49.51 Generated: 3358
% 49.10/49.51 Kept: 2005
% 49.10/49.51 Inuse: 184
% 49.10/49.51 Deleted: 0
% 49.10/49.51 Deletedinuse: 0
% 49.10/49.51
% 49.10/49.51 Resimplifying inuse:
% 49.10/49.51 Done
% 49.10/49.51
% 49.10/49.51 Resimplifying inuse:
% 49.10/49.51 Done
% 49.10/49.51
% 49.10/49.51
% 49.10/49.51 Intermediate Status:
% 49.10/49.51 Generated: 7889
% 49.10/49.51 Kept: 4011
% 49.10/49.51 Inuse: 294
% 49.10/49.51 Deleted: 0
% 49.10/49.51 Deletedinuse: 0
% 49.10/49.51
% 49.10/49.51 Resimplifying inuse:
% 49.10/49.51 Done
% 49.10/49.51
% 49.10/49.51 Resimplifying inuse:
% 49.10/49.51 Done
% 49.10/49.51
% 49.10/49.51
% 49.10/49.51 Intermediate Status:
% 49.10/49.51 Generated: 13643
% 49.10/49.51 Kept: 6030
% 49.10/49.51 Inuse: 361
% 49.10/49.51 Deleted: 0
% 49.10/49.51 Deletedinuse: 0
% 49.10/49.51
% 49.10/49.51 Resimplifying inuse:
% 49.10/49.51 Done
% 49.10/49.51
% 49.10/49.51 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 19587
% 102.52/102.88 Kept: 8064
% 102.52/102.88 Inuse: 430
% 102.52/102.88 Deleted: 0
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 27314
% 102.52/102.88 Kept: 10069
% 102.52/102.88 Inuse: 485
% 102.52/102.88 Deleted: 0
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 31202
% 102.52/102.88 Kept: 12210
% 102.52/102.88 Inuse: 506
% 102.52/102.88 Deleted: 0
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 37149
% 102.52/102.88 Kept: 14373
% 102.52/102.88 Inuse: 534
% 102.52/102.88 Deleted: 0
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 41108
% 102.52/102.88 Kept: 16392
% 102.52/102.88 Inuse: 557
% 102.52/102.88 Deleted: 0
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 46771
% 102.52/102.88 Kept: 18402
% 102.52/102.88 Inuse: 581
% 102.52/102.88 Deleted: 0
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying clauses:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 51439
% 102.52/102.88 Kept: 20415
% 102.52/102.88 Inuse: 609
% 102.52/102.88 Deleted: 23
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 56483
% 102.52/102.88 Kept: 22431
% 102.52/102.88 Inuse: 649
% 102.52/102.88 Deleted: 23
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 65534
% 102.52/102.88 Kept: 24455
% 102.52/102.88 Inuse: 704
% 102.52/102.88 Deleted: 26
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 72930
% 102.52/102.88 Kept: 26570
% 102.52/102.88 Inuse: 738
% 102.52/102.88 Deleted: 26
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 78917
% 102.52/102.88 Kept: 28572
% 102.52/102.88 Inuse: 770
% 102.52/102.88 Deleted: 26
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 84690
% 102.52/102.88 Kept: 30609
% 102.52/102.88 Inuse: 791
% 102.52/102.88 Deleted: 26
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 91741
% 102.52/102.88 Kept: 32696
% 102.52/102.88 Inuse: 823
% 102.52/102.88 Deleted: 26
% 102.52/102.88 Deletedinuse: 0
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 97009
% 102.52/102.88 Kept: 34718
% 102.52/102.88 Inuse: 852
% 102.52/102.88 Deleted: 29
% 102.52/102.88 Deletedinuse: 3
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 102141
% 102.52/102.88 Kept: 36759
% 102.52/102.88 Inuse: 877
% 102.52/102.88 Deleted: 29
% 102.52/102.88 Deletedinuse: 3
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 106505
% 102.52/102.88 Kept: 38790
% 102.52/102.88 Inuse: 894
% 102.52/102.88 Deleted: 29
% 102.52/102.88 Deletedinuse: 3
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying clauses:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 114669
% 102.52/102.88 Kept: 40820
% 102.52/102.88 Inuse: 927
% 102.52/102.88 Deleted: 154
% 102.52/102.88 Deletedinuse: 3
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 120565
% 102.52/102.88 Kept: 42920
% 102.52/102.88 Inuse: 953
% 102.52/102.88 Deleted: 156
% 102.52/102.88 Deletedinuse: 5
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 125419
% 102.52/102.88 Kept: 44943
% 102.52/102.88 Inuse: 972
% 102.52/102.88 Deleted: 157
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 130250
% 102.52/102.88 Kept: 47025
% 102.52/102.88 Inuse: 988
% 102.52/102.88 Deleted: 157
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 137770
% 102.52/102.88 Kept: 49286
% 102.52/102.88 Inuse: 1003
% 102.52/102.88 Deleted: 157
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 143142
% 102.52/102.88 Kept: 51304
% 102.52/102.88 Inuse: 1020
% 102.52/102.88 Deleted: 157
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 153420
% 102.52/102.88 Kept: 53315
% 102.52/102.88 Inuse: 1074
% 102.52/102.88 Deleted: 158
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 166845
% 102.52/102.88 Kept: 55838
% 102.52/102.88 Inuse: 1134
% 102.52/102.88 Deleted: 161
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 173163
% 102.52/102.88 Kept: 57849
% 102.52/102.88 Inuse: 1161
% 102.52/102.88 Deleted: 161
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 188089
% 102.52/102.88 Kept: 59873
% 102.52/102.88 Inuse: 1213
% 102.52/102.88 Deleted: 162
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying clauses:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 201997
% 102.52/102.88 Kept: 61922
% 102.52/102.88 Inuse: 1279
% 102.52/102.88 Deleted: 297
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 220812
% 102.52/102.88 Kept: 63941
% 102.52/102.88 Inuse: 1321
% 102.52/102.88 Deleted: 297
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 240186
% 102.52/102.88 Kept: 65948
% 102.52/102.88 Inuse: 1363
% 102.52/102.88 Deleted: 297
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 254382
% 102.52/102.88 Kept: 68212
% 102.52/102.88 Inuse: 1393
% 102.52/102.88 Deleted: 297
% 102.52/102.88 Deletedinuse: 6
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 264114
% 102.52/102.88 Kept: 70418
% 102.52/102.88 Inuse: 1418
% 102.52/102.88 Deleted: 494
% 102.52/102.88 Deletedinuse: 203
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Intermediate Status:
% 102.52/102.88 Generated: 269459
% 102.52/102.88 Kept: 72418
% 102.52/102.88 Inuse: 1436
% 102.52/102.88 Deleted: 548
% 102.52/102.88 Deletedinuse: 257
% 102.52/102.88
% 102.52/102.88 Resimplifying inuse:
% 102.52/102.88 Done
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 Bliksems!, er is een bewijs:
% 102.52/102.88 % SZS status Unsatisfiable
% 102.52/102.88 % SZS output start Refutation
% 102.52/102.88
% 102.52/102.88 clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y ) ]
% 102.52/102.88 )
% 102.52/102.88 .
% 102.52/102.88 clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y
% 102.52/102.88 ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 4, [ member( X, complement( Y ) ), member( X, Y ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 5, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 6, [ member( X, union( Y, Z ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 7, [ member( X, union( Z, Y ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 8, [ member( X, Y ), member( X, Z ), ~( member( X, union( Y, Z ) )
% 102.52/102.88 ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 9, [ ~( member( X, Z ) ), member( X, intersection( Y, Z ) ), ~(
% 102.52/102.88 member( X, Y ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 10, [ member( X, Y ), ~( member( X, intersection( Y, Z ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 11, [ member( X, Z ), ~( member( X, intersection( Y, Z ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 14, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X
% 102.52/102.88 ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 16, [ 'equal_sets'( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 21, [ 'equal_sets'( complement( a ), b ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 22, [ 'equal_sets'( complement( b ), c ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 23, [ ~( 'equal_sets'( a, c ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 26, [ 'equal_sets'( b, complement( a ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 27, [ 'equal_sets'( c, complement( b ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 28, [ ~( 'equal_sets'( c, a ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 29, [ ~( member( Z, X ) ), member( Z, Y ), member(
% 102.52/102.88 'member_of_1_not_of_2'( X, Y ), X ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 30, [ subset( complement( b ), c ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 31, [ subset( complement( a ), b ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 32, [ subset( b, complement( a ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 33, [ subset( c, complement( b ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 36, [ member( X, c ), ~( member( X, complement( b ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 37, [ member( X, b ), ~( member( X, complement( a ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 38, [ ~( member( X, b ) ), member( X, complement( a ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 39, [ ~( member( X, c ) ), member( X, complement( b ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 55, [ ~( member( X, b ) ), ~( member( X, c ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 57, [ ~( member( X, b ) ), member( X, complement( c ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 66, [ member( X, Z ), member( X, union( Y, complement( Z ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 116, [ member( X, a ), member( X, b ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 122, [ member( X, a ), ~( member( X, complement( b ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 125, [ member( X, a ), ~( member( X, c ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 140, [ ~( member( X, b ) ), member( X, intersection( complement( a
% 102.52/102.88 ), Y ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 142, [ ~( member( X, b ) ), member( X, intersection( complement( c
% 102.52/102.88 ), Y ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 207, [ member( X, c ), ~( member( X, union( Y, complement( b ) ) )
% 102.52/102.88 ), member( X, Y ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 234, [ ~( member( X, Y ) ), ~( member( X, intersection( complement(
% 102.52/102.88 Y ), Z ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 263, [ member( X, T ), ~( member( X, intersection( Y, intersection(
% 102.52/102.88 Z, T ) ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 311, [ ~( subset( c, a ) ), ~( subset( a, c ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 312, [ ~( member( 'member_of_1_not_of_2'( a, c ), c ) ), ~( subset(
% 102.52/102.88 c, a ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 313, [ member( 'member_of_1_not_of_2'( a, c ), a ), ~( subset( c, a
% 102.52/102.88 ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 484, [ member( 'member_of_1_not_of_2'( c, Y ), a ), ~( member( X, c
% 102.52/102.88 ) ), member( X, Y ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 2101, [ member( X, union( Z, T ) ), member( X, union( Y, complement(
% 102.52/102.88 Z ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 2102, [ member( X, union( Y, complement( Y ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 3376, [ ~( member( 'member_of_1_not_of_2'( c, a ), a ) ), member(
% 102.52/102.88 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 3377, [ member( 'member_of_1_not_of_2'( a, c ), a ), member(
% 102.52/102.88 'member_of_1_not_of_2'( c, a ), c ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 37015, [ ~( member( X, intersection( complement( T ), U ) ) ), ~(
% 102.52/102.88 member( X, intersection( Y, intersection( Z, T ) ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 37170, [ ~( member( X, intersection( complement( Y ), intersection(
% 102.52/102.88 Z, Y ) ) ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 37196, [ ~( member( X, b ) ), ~( member( X, intersection( Y, a ) )
% 102.52/102.88 ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 69155, [ member( 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 71126, [ ~( member( 'member_of_1_not_of_2'( a, c ), b ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 71206, [ member( 'member_of_1_not_of_2'( a, c ), c ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 71751, [ ~( subset( c, a ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 72186, [ ~( member( 'member_of_1_not_of_2'( c, a ), a ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 72187, [ member( 'member_of_1_not_of_2'( c, a ), c ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 72191, [ ~( member( 'member_of_1_not_of_2'( c, a ), c ) ) ] )
% 102.52/102.88 .
% 102.52/102.88 clause( 73169, [] )
% 102.52/102.88 .
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 % SZS output end Refutation
% 102.52/102.88 found a proof!
% 102.52/102.88
% 102.52/102.88 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 102.52/102.88
% 102.52/102.88 initialclauses(
% 102.52/102.88 [ clause( 73171, [ ~( member( X, 'empty_set' ) ) ] )
% 102.52/102.88 , clause( 73172, [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z )
% 102.52/102.88 ] )
% 102.52/102.88 , clause( 73173, [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ),
% 102.52/102.88 X ) ] )
% 102.52/102.88 , clause( 73174, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 102.52/102.88 X, Y ) ] )
% 102.52/102.88 , clause( 73175, [ member( X, Y ), member( X, complement( Y ) ) ] )
% 102.52/102.88 , clause( 73176, [ ~( member( X, Y ) ), ~( member( X, complement( Y ) ) ) ]
% 102.52/102.88 )
% 102.52/102.88 , clause( 73177, [ ~( member( X, Y ) ), member( X, union( Y, Z ) ) ] )
% 102.52/102.88 , clause( 73178, [ ~( member( X, Y ) ), member( X, union( Z, Y ) ) ] )
% 102.52/102.88 , clause( 73179, [ ~( member( X, union( Y, Z ) ) ), member( X, Y ), member(
% 102.52/102.88 X, Z ) ] )
% 102.52/102.88 , clause( 73180, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 102.52/102.88 intersection( Y, Z ) ) ] )
% 102.52/102.88 , clause( 73181, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 102.52/102.88 )
% 102.52/102.88 , clause( 73182, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 102.52/102.88 )
% 102.52/102.88 , clause( 73183, [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ] )
% 102.52/102.88 , clause( 73184, [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ] )
% 102.52/102.88 , clause( 73185, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'(
% 102.52/102.88 Y, X ) ] )
% 102.52/102.88 , clause( 73186, [ 'equal_sets'( X, X ) ] )
% 102.52/102.88 , clause( 73187, [ ~( 'equal_sets'( X, Y ) ), 'equal_sets'( Y, X ) ] )
% 102.52/102.88 , clause( 73188, [ ~( 'equal_sets'( X, Y ) ), ~( 'equal_sets'( Y, Z ) ),
% 102.52/102.88 'equal_sets'( X, Z ) ] )
% 102.52/102.88 , clause( 73189, [ 'equal_elements'( X, X ) ] )
% 102.52/102.88 , clause( 73190, [ ~( 'equal_elements'( X, Y ) ), 'equal_elements'( Y, X )
% 102.52/102.88 ] )
% 102.52/102.88 , clause( 73191, [ ~( 'equal_elements'( X, Y ) ), ~( 'equal_elements'( Y, Z
% 102.52/102.88 ) ), 'equal_elements'( X, Z ) ] )
% 102.52/102.88 , clause( 73192, [ 'equal_sets'( complement( a ), b ) ] )
% 102.52/102.88 , clause( 73193, [ 'equal_sets'( complement( b ), c ) ] )
% 102.52/102.88 , clause( 73194, [ ~( 'equal_sets'( a, c ) ) ] )
% 102.52/102.88 ] ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ] )
% 102.52/102.88 , clause( 73172, [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z )
% 102.52/102.88 ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y ) ]
% 102.52/102.88 )
% 102.52/102.88 , clause( 73173, [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ),
% 102.52/102.88 X ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 102.52/102.88 ), ==>( 1, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y
% 102.52/102.88 ) ] )
% 102.52/102.88 , clause( 73174, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 102.52/102.88 X, Y ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 102.52/102.88 ), ==>( 1, 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 4, [ member( X, complement( Y ) ), member( X, Y ) ] )
% 102.52/102.88 , clause( 73175, [ member( X, Y ), member( X, complement( Y ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 102.52/102.88 ), ==>( 1, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 5, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , clause( 73176, [ ~( member( X, Y ) ), ~( member( X, complement( Y ) ) ) ]
% 102.52/102.88 )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 102.52/102.88 ), ==>( 1, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 6, [ member( X, union( Y, Z ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , clause( 73177, [ ~( member( X, Y ) ), member( X, union( Y, Z ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 7, [ member( X, union( Z, Y ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , clause( 73178, [ ~( member( X, Y ) ), member( X, union( Z, Y ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 8, [ member( X, Y ), member( X, Z ), ~( member( X, union( Y, Z ) )
% 102.52/102.88 ) ] )
% 102.52/102.88 , clause( 73179, [ ~( member( X, union( Y, Z ) ) ), member( X, Y ), member(
% 102.52/102.88 X, Z ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 9, [ ~( member( X, Z ) ), member( X, intersection( Y, Z ) ), ~(
% 102.52/102.88 member( X, Y ) ) ] )
% 102.52/102.88 , clause( 73180, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 102.52/102.88 intersection( Y, Z ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 10, [ member( X, Y ), ~( member( X, intersection( Y, Z ) ) ) ] )
% 102.52/102.88 , clause( 73181, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 102.52/102.88 )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 11, [ member( X, Z ), ~( member( X, intersection( Y, Z ) ) ) ] )
% 102.52/102.88 , clause( 73182, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 102.52/102.88 )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 , clause( 73184, [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 102.52/102.88 ), ==>( 1, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 14, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X
% 102.52/102.88 ) ] )
% 102.52/102.88 , clause( 73185, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'(
% 102.52/102.88 Y, X ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 102.52/102.88 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 16, [ 'equal_sets'( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 , clause( 73187, [ ~( 'equal_sets'( X, Y ) ), 'equal_sets'( Y, X ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 102.52/102.88 ), ==>( 1, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 21, [ 'equal_sets'( complement( a ), b ) ] )
% 102.52/102.88 , clause( 73192, [ 'equal_sets'( complement( a ), b ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 22, [ 'equal_sets'( complement( b ), c ) ] )
% 102.52/102.88 , clause( 73193, [ 'equal_sets'( complement( b ), c ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 23, [ ~( 'equal_sets'( a, c ) ) ] )
% 102.52/102.88 , clause( 73194, [ ~( 'equal_sets'( a, c ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73225, [ 'equal_sets'( b, complement( a ) ) ] )
% 102.52/102.88 , clause( 16, [ 'equal_sets'( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 , 1, clause( 21, [ 'equal_sets'( complement( a ), b ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, complement( a ) ), :=( Y, b )] ),
% 102.52/102.88 substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 26, [ 'equal_sets'( b, complement( a ) ) ] )
% 102.52/102.88 , clause( 73225, [ 'equal_sets'( b, complement( a ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73226, [ 'equal_sets'( c, complement( b ) ) ] )
% 102.52/102.88 , clause( 16, [ 'equal_sets'( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 , 1, clause( 22, [ 'equal_sets'( complement( b ), c ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, complement( b ) ), :=( Y, c )] ),
% 102.52/102.88 substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 27, [ 'equal_sets'( c, complement( b ) ) ] )
% 102.52/102.88 , clause( 73226, [ 'equal_sets'( c, complement( b ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73227, [ ~( 'equal_sets'( c, a ) ) ] )
% 102.52/102.88 , clause( 23, [ ~( 'equal_sets'( a, c ) ) ] )
% 102.52/102.88 , 0, clause( 16, [ 'equal_sets'( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 28, [ ~( 'equal_sets'( c, a ) ) ] )
% 102.52/102.88 , clause( 73227, [ ~( 'equal_sets'( c, a ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73229, [ ~( member( X, Y ) ), member( X, Z ), member(
% 102.52/102.88 'member_of_1_not_of_2'( Y, Z ), Y ) ] )
% 102.52/102.88 , clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 102.52/102.88 )
% 102.52/102.88 , 2, clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 102.52/102.88 ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 29, [ ~( member( Z, X ) ), member( Z, Y ), member(
% 102.52/102.88 'member_of_1_not_of_2'( X, Y ), X ) ] )
% 102.52/102.88 , clause( 73229, [ ~( member( X, Y ) ), member( X, Z ), member(
% 102.52/102.88 'member_of_1_not_of_2'( Y, Z ), Y ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73231, [ subset( complement( b ), c ) ] )
% 102.52/102.88 , clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 , 1, clause( 27, [ 'equal_sets'( c, complement( b ) ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, c ), :=( Y, complement( b ) )] ),
% 102.52/102.88 substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 30, [ subset( complement( b ), c ) ] )
% 102.52/102.88 , clause( 73231, [ subset( complement( b ), c ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73232, [ subset( complement( a ), b ) ] )
% 102.52/102.88 , clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 , 1, clause( 26, [ 'equal_sets'( b, complement( a ) ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, b ), :=( Y, complement( a ) )] ),
% 102.52/102.88 substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 31, [ subset( complement( a ), b ) ] )
% 102.52/102.88 , clause( 73232, [ subset( complement( a ), b ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73233, [ subset( b, complement( a ) ) ] )
% 102.52/102.88 , clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 , 1, clause( 21, [ 'equal_sets'( complement( a ), b ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, complement( a ) ), :=( Y, b )] ),
% 102.52/102.88 substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 32, [ subset( b, complement( a ) ) ] )
% 102.52/102.88 , clause( 73233, [ subset( b, complement( a ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73234, [ subset( c, complement( b ) ) ] )
% 102.52/102.88 , clause( 13, [ subset( Y, X ), ~( 'equal_sets'( X, Y ) ) ] )
% 102.52/102.88 , 1, clause( 22, [ 'equal_sets'( complement( b ), c ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, complement( b ) ), :=( Y, c )] ),
% 102.52/102.88 substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 33, [ subset( c, complement( b ) ) ] )
% 102.52/102.88 , clause( 73234, [ subset( c, complement( b ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73235, [ ~( member( X, complement( b ) ) ), member( X, c ) ] )
% 102.52/102.88 , clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 102.52/102.88 )
% 102.52/102.88 , 2, clause( 30, [ subset( complement( b ), c ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, complement( b ) ), :=( Z, c )] )
% 102.52/102.88 , substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 36, [ member( X, c ), ~( member( X, complement( b ) ) ) ] )
% 102.52/102.88 , clause( 73235, [ ~( member( X, complement( b ) ) ), member( X, c ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 102.52/102.88 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73236, [ ~( member( X, complement( a ) ) ), member( X, b ) ] )
% 102.52/102.88 , clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 102.52/102.88 )
% 102.52/102.88 , 2, clause( 31, [ subset( complement( a ), b ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, complement( a ) ), :=( Z, b )] )
% 102.52/102.88 , substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 37, [ member( X, b ), ~( member( X, complement( a ) ) ) ] )
% 102.52/102.88 , clause( 73236, [ ~( member( X, complement( a ) ) ), member( X, b ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 102.52/102.88 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73237, [ ~( member( X, b ) ), member( X, complement( a ) ) ] )
% 102.52/102.88 , clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 102.52/102.88 )
% 102.52/102.88 , 2, clause( 32, [ subset( b, complement( a ) ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, b ), :=( Z, complement( a ) )] )
% 102.52/102.88 , substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 38, [ ~( member( X, b ) ), member( X, complement( a ) ) ] )
% 102.52/102.88 , clause( 73237, [ ~( member( X, b ) ), member( X, complement( a ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 102.52/102.88 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73238, [ ~( member( X, c ) ), member( X, complement( b ) ) ] )
% 102.52/102.88 , clause( 1, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 102.52/102.88 )
% 102.52/102.88 , 2, clause( 33, [ subset( c, complement( b ) ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, c ), :=( Z, complement( b ) )] )
% 102.52/102.88 , substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 39, [ ~( member( X, c ) ), member( X, complement( b ) ) ] )
% 102.52/102.88 , clause( 73238, [ ~( member( X, c ) ), member( X, complement( b ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 102.52/102.88 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73239, [ ~( member( X, b ) ), ~( member( X, c ) ) ] )
% 102.52/102.88 , clause( 5, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , 0, clause( 39, [ ~( member( X, c ) ), member( X, complement( b ) ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, X ), :=( Y, b )] ), substitution( 1, [ :=( X
% 102.52/102.88 , X )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 55, [ ~( member( X, b ) ), ~( member( X, c ) ) ] )
% 102.52/102.88 , clause( 73239, [ ~( member( X, b ) ), ~( member( X, c ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 102.52/102.88 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73242, [ ~( member( X, b ) ), member( X, complement( c ) ) ] )
% 102.52/102.88 , clause( 55, [ ~( member( X, b ) ), ~( member( X, c ) ) ] )
% 102.52/102.88 , 1, clause( 4, [ member( X, complement( Y ) ), member( X, Y ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 102.52/102.88 , c )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 57, [ ~( member( X, b ) ), member( X, complement( c ) ) ] )
% 102.52/102.88 , clause( 73242, [ ~( member( X, b ) ), member( X, complement( c ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 102.52/102.88 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73243, [ member( X, union( Y, complement( Z ) ) ), member( X, Z ) ]
% 102.52/102.88 )
% 102.52/102.88 , clause( 7, [ member( X, union( Z, Y ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , 1, clause( 4, [ member( X, complement( Y ) ), member( X, Y ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, complement( Z ) ), :=( Z, Y )] )
% 102.52/102.88 , substitution( 1, [ :=( X, X ), :=( Y, Z )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 66, [ member( X, Z ), member( X, union( Y, complement( Z ) ) ) ] )
% 102.52/102.88 , clause( 73243, [ member( X, union( Y, complement( Z ) ) ), member( X, Z )
% 102.52/102.88 ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73245, [ member( X, b ), member( X, a ) ] )
% 102.52/102.88 , clause( 37, [ member( X, b ), ~( member( X, complement( a ) ) ) ] )
% 102.52/102.88 , 1, clause( 4, [ member( X, complement( Y ) ), member( X, Y ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 102.52/102.88 , a )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 116, [ member( X, a ), member( X, b ) ] )
% 102.52/102.88 , clause( 73245, [ member( X, b ), member( X, a ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 102.52/102.88 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73248, [ ~( member( X, complement( b ) ) ), member( X, a ) ] )
% 102.52/102.88 , clause( 5, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , 1, clause( 116, [ member( X, a ), member( X, b ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, X ), :=( Y, b )] ), substitution( 1, [ :=( X
% 102.52/102.88 , X )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 122, [ member( X, a ), ~( member( X, complement( b ) ) ) ] )
% 102.52/102.88 , clause( 73248, [ ~( member( X, complement( b ) ) ), member( X, a ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 102.52/102.88 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73249, [ member( X, a ), ~( member( X, c ) ) ] )
% 102.52/102.88 , clause( 122, [ member( X, a ), ~( member( X, complement( b ) ) ) ] )
% 102.52/102.88 , 1, clause( 39, [ ~( member( X, c ) ), member( X, complement( b ) ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 125, [ member( X, a ), ~( member( X, c ) ) ] )
% 102.52/102.88 , clause( 73249, [ member( X, a ), ~( member( X, c ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 102.52/102.88 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73251, [ ~( member( X, Y ) ), member( X, intersection( complement(
% 102.52/102.88 a ), Y ) ), ~( member( X, b ) ) ] )
% 102.52/102.88 , clause( 9, [ ~( member( X, Z ) ), member( X, intersection( Y, Z ) ), ~(
% 102.52/102.88 member( X, Y ) ) ] )
% 102.52/102.88 , 2, clause( 38, [ ~( member( X, b ) ), member( X, complement( a ) ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, X ), :=( Y, complement( a ) ), :=( Z, Y )] )
% 102.52/102.88 , substitution( 1, [ :=( X, X )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 140, [ ~( member( X, b ) ), member( X, intersection( complement( a
% 102.52/102.88 ), Y ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , clause( 73251, [ ~( member( X, Y ) ), member( X, intersection( complement(
% 102.52/102.88 a ), Y ) ), ~( member( X, b ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 102.52/102.88 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73255, [ ~( member( X, Y ) ), member( X, intersection( complement(
% 102.52/102.88 c ), Y ) ), ~( member( X, b ) ) ] )
% 102.52/102.88 , clause( 9, [ ~( member( X, Z ) ), member( X, intersection( Y, Z ) ), ~(
% 102.52/102.88 member( X, Y ) ) ] )
% 102.52/102.88 , 2, clause( 57, [ ~( member( X, b ) ), member( X, complement( c ) ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, X ), :=( Y, complement( c ) ), :=( Z, Y )] )
% 102.52/102.88 , substitution( 1, [ :=( X, X )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 142, [ ~( member( X, b ) ), member( X, intersection( complement( c
% 102.52/102.88 ), Y ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , clause( 73255, [ ~( member( X, Y ) ), member( X, intersection( complement(
% 102.52/102.88 c ), Y ) ), ~( member( X, b ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 102.52/102.88 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73259, [ member( X, c ), member( X, Y ), ~( member( X, union( Y,
% 102.52/102.88 complement( b ) ) ) ) ] )
% 102.52/102.88 , clause( 36, [ member( X, c ), ~( member( X, complement( b ) ) ) ] )
% 102.52/102.88 , 1, clause( 8, [ member( X, Y ), member( X, Z ), ~( member( X, union( Y, Z
% 102.52/102.88 ) ) ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 102.52/102.88 , Y ), :=( Z, complement( b ) )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 207, [ member( X, c ), ~( member( X, union( Y, complement( b ) ) )
% 102.52/102.88 ), member( X, Y ) ] )
% 102.52/102.88 , clause( 73259, [ member( X, c ), member( X, Y ), ~( member( X, union( Y,
% 102.52/102.88 complement( b ) ) ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 102.52/102.88 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73262, [ ~( member( X, Y ) ), ~( member( X, intersection(
% 102.52/102.88 complement( Y ), Z ) ) ) ] )
% 102.52/102.88 , clause( 5, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , 0, clause( 10, [ member( X, Y ), ~( member( X, intersection( Y, Z ) ) ) ]
% 102.52/102.88 )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 102.52/102.88 , X ), :=( Y, complement( Y ) ), :=( Z, Z )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 234, [ ~( member( X, Y ) ), ~( member( X, intersection( complement(
% 102.52/102.88 Y ), Z ) ) ) ] )
% 102.52/102.88 , clause( 73262, [ ~( member( X, Y ) ), ~( member( X, intersection(
% 102.52/102.88 complement( Y ), Z ) ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73264, [ member( X, Y ), ~( member( X, intersection( T,
% 102.52/102.88 intersection( Z, Y ) ) ) ) ] )
% 102.52/102.88 , clause( 11, [ member( X, Z ), ~( member( X, intersection( Y, Z ) ) ) ] )
% 102.52/102.88 , 1, clause( 11, [ member( X, Z ), ~( member( X, intersection( Y, Z ) ) ) ]
% 102.52/102.88 )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 102.52/102.88 substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, intersection( Z, Y ) )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 263, [ member( X, T ), ~( member( X, intersection( Y, intersection(
% 102.52/102.88 Z, T ) ) ) ) ] )
% 102.52/102.88 , clause( 73264, [ member( X, Y ), ~( member( X, intersection( T,
% 102.52/102.88 intersection( Z, Y ) ) ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, Y )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73265, [ ~( subset( a, c ) ), ~( subset( c, a ) ) ] )
% 102.52/102.88 , clause( 28, [ ~( 'equal_sets'( c, a ) ) ] )
% 102.52/102.88 , 0, clause( 14, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'(
% 102.52/102.88 Y, X ) ] )
% 102.52/102.88 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, c )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 311, [ ~( subset( c, a ) ), ~( subset( a, c ) ) ] )
% 102.52/102.88 , clause( 73265, [ ~( subset( a, c ) ), ~( subset( c, a ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73267, [ ~( subset( c, a ) ), ~( member( 'member_of_1_not_of_2'( a
% 102.52/102.88 , c ), c ) ) ] )
% 102.52/102.88 , clause( 311, [ ~( subset( c, a ) ), ~( subset( a, c ) ) ] )
% 102.52/102.88 , 1, clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 102.52/102.88 X, Y ) ] )
% 102.52/102.88 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, c )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 312, [ ~( member( 'member_of_1_not_of_2'( a, c ), c ) ), ~( subset(
% 102.52/102.88 c, a ) ) ] )
% 102.52/102.88 , clause( 73267, [ ~( subset( c, a ) ), ~( member( 'member_of_1_not_of_2'(
% 102.52/102.88 a, c ), c ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73269, [ ~( subset( c, a ) ), member( 'member_of_1_not_of_2'( a, c
% 102.52/102.88 ), a ) ] )
% 102.52/102.88 , clause( 311, [ ~( subset( c, a ) ), ~( subset( a, c ) ) ] )
% 102.52/102.88 , 1, clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 102.52/102.88 ) ] )
% 102.52/102.88 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, c )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 313, [ member( 'member_of_1_not_of_2'( a, c ), a ), ~( subset( c, a
% 102.52/102.88 ) ) ] )
% 102.52/102.88 , clause( 73269, [ ~( subset( c, a ) ), member( 'member_of_1_not_of_2'( a,
% 102.52/102.88 c ), a ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73273, [ member( 'member_of_1_not_of_2'( c, X ), a ), ~( member( Y
% 102.52/102.88 , c ) ), member( Y, X ) ] )
% 102.52/102.88 , clause( 125, [ member( X, a ), ~( member( X, c ) ) ] )
% 102.52/102.88 , 1, clause( 29, [ ~( member( Z, X ) ), member( Z, Y ), member(
% 102.52/102.88 'member_of_1_not_of_2'( X, Y ), X ) ] )
% 102.52/102.88 , 2, substitution( 0, [ :=( X, 'member_of_1_not_of_2'( c, X ) )] ),
% 102.52/102.88 substitution( 1, [ :=( X, c ), :=( Y, X ), :=( Z, Y )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 484, [ member( 'member_of_1_not_of_2'( c, Y ), a ), ~( member( X, c
% 102.52/102.88 ) ), member( X, Y ) ] )
% 102.52/102.88 , clause( 73273, [ member( 'member_of_1_not_of_2'( c, X ), a ), ~( member(
% 102.52/102.88 Y, c ) ), member( Y, X ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 102.52/102.88 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73276, [ member( X, union( Y, Z ) ), member( X, union( T,
% 102.52/102.88 complement( Y ) ) ) ] )
% 102.52/102.88 , clause( 6, [ member( X, union( Y, Z ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , 1, clause( 66, [ member( X, Z ), member( X, union( Y, complement( Z ) ) )
% 102.52/102.88 ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, Y )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 2101, [ member( X, union( Z, T ) ), member( X, union( Y, complement(
% 102.52/102.88 Z ) ) ) ] )
% 102.52/102.88 , clause( 73276, [ member( X, union( Y, Z ) ), member( X, union( T,
% 102.52/102.88 complement( Y ) ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 factor(
% 102.52/102.88 clause( 73279, [ member( X, union( Y, complement( Y ) ) ) ] )
% 102.52/102.88 , clause( 2101, [ member( X, union( Z, T ) ), member( X, union( Y,
% 102.52/102.88 complement( Z ) ) ) ] )
% 102.52/102.88 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T,
% 102.52/102.88 complement( Y ) )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 2102, [ member( X, union( Y, complement( Y ) ) ) ] )
% 102.52/102.88 , clause( 73279, [ member( X, union( Y, complement( Y ) ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 102.52/102.88 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73280, [ member( 'member_of_1_not_of_2'( a, c ), a ), ~( member(
% 102.52/102.88 'member_of_1_not_of_2'( c, a ), a ) ) ] )
% 102.52/102.88 , clause( 313, [ member( 'member_of_1_not_of_2'( a, c ), a ), ~( subset( c
% 102.52/102.88 , a ) ) ] )
% 102.52/102.88 , 1, clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 102.52/102.88 X, Y ) ] )
% 102.52/102.88 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 3376, [ ~( member( 'member_of_1_not_of_2'( c, a ), a ) ), member(
% 102.52/102.88 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 , clause( 73280, [ member( 'member_of_1_not_of_2'( a, c ), a ), ~( member(
% 102.52/102.88 'member_of_1_not_of_2'( c, a ), a ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73281, [ member( 'member_of_1_not_of_2'( a, c ), a ), member(
% 102.52/102.88 'member_of_1_not_of_2'( c, a ), c ) ] )
% 102.52/102.88 , clause( 313, [ member( 'member_of_1_not_of_2'( a, c ), a ), ~( subset( c
% 102.52/102.88 , a ) ) ] )
% 102.52/102.88 , 1, clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 102.52/102.88 ) ] )
% 102.52/102.88 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 3377, [ member( 'member_of_1_not_of_2'( a, c ), a ), member(
% 102.52/102.88 'member_of_1_not_of_2'( c, a ), c ) ] )
% 102.52/102.88 , clause( 73281, [ member( 'member_of_1_not_of_2'( a, c ), a ), member(
% 102.52/102.88 'member_of_1_not_of_2'( c, a ), c ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73282, [ ~( member( X, intersection( complement( Y ), Z ) ) ), ~(
% 102.52/102.88 member( X, intersection( T, intersection( U, Y ) ) ) ) ] )
% 102.52/102.88 , clause( 234, [ ~( member( X, Y ) ), ~( member( X, intersection(
% 102.52/102.88 complement( Y ), Z ) ) ) ] )
% 102.52/102.88 , 0, clause( 263, [ member( X, T ), ~( member( X, intersection( Y,
% 102.52/102.88 intersection( Z, T ) ) ) ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, U ), :=( T, Y )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 37015, [ ~( member( X, intersection( complement( T ), U ) ) ), ~(
% 102.52/102.88 member( X, intersection( Y, intersection( Z, T ) ) ) ) ] )
% 102.52/102.88 , clause( 73282, [ ~( member( X, intersection( complement( Y ), Z ) ) ),
% 102.52/102.88 ~( member( X, intersection( T, intersection( U, Y ) ) ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, U ), :=( T, Y ), :=( U
% 102.52/102.88 , Z )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 factor(
% 102.52/102.88 clause( 73285, [ ~( member( X, intersection( complement( Y ), intersection(
% 102.52/102.88 Z, Y ) ) ) ) ] )
% 102.52/102.88 , clause( 37015, [ ~( member( X, intersection( complement( T ), U ) ) ),
% 102.52/102.88 ~( member( X, intersection( Y, intersection( Z, T ) ) ) ) ] )
% 102.52/102.88 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, complement( Y ) ), :=( Z, Z )
% 102.52/102.88 , :=( T, Y ), :=( U, intersection( Z, Y ) )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 37170, [ ~( member( X, intersection( complement( Y ), intersection(
% 102.52/102.88 Z, Y ) ) ) ) ] )
% 102.52/102.88 , clause( 73285, [ ~( member( X, intersection( complement( Y ),
% 102.52/102.88 intersection( Z, Y ) ) ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 102.52/102.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73286, [ ~( member( X, b ) ), ~( member( X, intersection( Y, a ) )
% 102.52/102.88 ) ] )
% 102.52/102.88 , clause( 37170, [ ~( member( X, intersection( complement( Y ),
% 102.52/102.88 intersection( Z, Y ) ) ) ) ] )
% 102.52/102.88 , 0, clause( 140, [ ~( member( X, b ) ), member( X, intersection(
% 102.52/102.88 complement( a ), Y ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, Y )] ),
% 102.52/102.88 substitution( 1, [ :=( X, X ), :=( Y, intersection( Y, a ) )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 37196, [ ~( member( X, b ) ), ~( member( X, intersection( Y, a ) )
% 102.52/102.88 ) ] )
% 102.52/102.88 , clause( 73286, [ ~( member( X, b ) ), ~( member( X, intersection( Y, a )
% 102.52/102.88 ) ) ] )
% 102.52/102.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 102.52/102.88 ), ==>( 1, 1 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73287, [ member( 'member_of_1_not_of_2'( c, a ), a ), member(
% 102.52/102.88 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 , clause( 125, [ member( X, a ), ~( member( X, c ) ) ] )
% 102.52/102.88 , 1, clause( 3377, [ member( 'member_of_1_not_of_2'( a, c ), a ), member(
% 102.52/102.88 'member_of_1_not_of_2'( c, a ), c ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, 'member_of_1_not_of_2'( c, a ) )] ),
% 102.52/102.88 substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73288, [ member( 'member_of_1_not_of_2'( a, c ), a ), member(
% 102.52/102.88 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 , clause( 3376, [ ~( member( 'member_of_1_not_of_2'( c, a ), a ) ), member(
% 102.52/102.88 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 , 0, clause( 73287, [ member( 'member_of_1_not_of_2'( c, a ), a ), member(
% 102.52/102.88 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 factor(
% 102.52/102.88 clause( 73289, [ member( 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 , clause( 73288, [ member( 'member_of_1_not_of_2'( a, c ), a ), member(
% 102.52/102.88 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 , 0, 1, substitution( 0, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 69155, [ member( 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 , clause( 73289, [ member( 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73290, [ ~( member( 'member_of_1_not_of_2'( a, c ), b ) ), member(
% 102.52/102.88 'member_of_1_not_of_2'( a, c ), intersection( complement( c ), a ) ) ] )
% 102.52/102.88 , clause( 142, [ ~( member( X, b ) ), member( X, intersection( complement(
% 102.52/102.88 c ), Y ) ), ~( member( X, Y ) ) ] )
% 102.52/102.88 , 2, clause( 69155, [ member( 'member_of_1_not_of_2'( a, c ), a ) ] )
% 102.52/102.88 , 0, substitution( 0, [ :=( X, 'member_of_1_not_of_2'( a, c ) ), :=( Y, a )] )
% 102.52/102.88 , substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73291, [ ~( member( 'member_of_1_not_of_2'( a, c ), b ) ), ~(
% 102.52/102.88 member( 'member_of_1_not_of_2'( a, c ), b ) ) ] )
% 102.52/102.88 , clause( 37196, [ ~( member( X, b ) ), ~( member( X, intersection( Y, a )
% 102.52/102.88 ) ) ] )
% 102.52/102.88 , 1, clause( 73290, [ ~( member( 'member_of_1_not_of_2'( a, c ), b ) ),
% 102.52/102.88 member( 'member_of_1_not_of_2'( a, c ), intersection( complement( c ), a
% 102.52/102.88 ) ) ] )
% 102.52/102.88 , 1, substitution( 0, [ :=( X, 'member_of_1_not_of_2'( a, c ) ), :=( Y,
% 102.52/102.88 complement( c ) )] ), substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 factor(
% 102.52/102.88 clause( 73292, [ ~( member( 'member_of_1_not_of_2'( a, c ), b ) ) ] )
% 102.52/102.88 , clause( 73291, [ ~( member( 'member_of_1_not_of_2'( a, c ), b ) ), ~(
% 102.52/102.88 member( 'member_of_1_not_of_2'( a, c ), b ) ) ] )
% 102.52/102.88 , 0, 1, substitution( 0, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 71126, [ ~( member( 'member_of_1_not_of_2'( a, c ), b ) ) ] )
% 102.52/102.88 , clause( 73292, [ ~( member( 'member_of_1_not_of_2'( a, c ), b ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73293, [ member( 'member_of_1_not_of_2'( a, c ), c ), ~( member(
% 102.52/102.88 'member_of_1_not_of_2'( a, c ), union( b, complement( b ) ) ) ) ] )
% 102.52/102.88 , clause( 71126, [ ~( member( 'member_of_1_not_of_2'( a, c ), b ) ) ] )
% 102.52/102.88 , 0, clause( 207, [ member( X, c ), ~( member( X, union( Y, complement( b )
% 102.52/102.88 ) ) ), member( X, Y ) ] )
% 102.52/102.88 , 2, substitution( 0, [] ), substitution( 1, [ :=( X,
% 102.52/102.88 'member_of_1_not_of_2'( a, c ) ), :=( Y, b )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73294, [ member( 'member_of_1_not_of_2'( a, c ), c ) ] )
% 102.52/102.88 , clause( 73293, [ member( 'member_of_1_not_of_2'( a, c ), c ), ~( member(
% 102.52/102.88 'member_of_1_not_of_2'( a, c ), union( b, complement( b ) ) ) ) ] )
% 102.52/102.88 , 1, clause( 2102, [ member( X, union( Y, complement( Y ) ) ) ] )
% 102.52/102.88 , 0, substitution( 0, [] ), substitution( 1, [ :=( X,
% 102.52/102.88 'member_of_1_not_of_2'( a, c ) ), :=( Y, b )] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 71206, [ member( 'member_of_1_not_of_2'( a, c ), c ) ] )
% 102.52/102.88 , clause( 73294, [ member( 'member_of_1_not_of_2'( a, c ), c ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73295, [ ~( subset( c, a ) ) ] )
% 102.52/102.88 , clause( 312, [ ~( member( 'member_of_1_not_of_2'( a, c ), c ) ), ~(
% 102.52/102.88 subset( c, a ) ) ] )
% 102.52/102.88 , 0, clause( 71206, [ member( 'member_of_1_not_of_2'( a, c ), c ) ] )
% 102.52/102.88 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 71751, [ ~( subset( c, a ) ) ] )
% 102.52/102.88 , clause( 73295, [ ~( subset( c, a ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73296, [ ~( member( 'member_of_1_not_of_2'( c, a ), a ) ) ] )
% 102.52/102.88 , clause( 71751, [ ~( subset( c, a ) ) ] )
% 102.52/102.88 , 0, clause( 3, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 102.52/102.88 X, Y ) ] )
% 102.52/102.88 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 72186, [ ~( member( 'member_of_1_not_of_2'( c, a ), a ) ) ] )
% 102.52/102.88 , clause( 73296, [ ~( member( 'member_of_1_not_of_2'( c, a ), a ) ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 resolution(
% 102.52/102.88 clause( 73297, [ member( 'member_of_1_not_of_2'( c, a ), c ) ] )
% 102.52/102.88 , clause( 71751, [ ~( subset( c, a ) ) ] )
% 102.52/102.88 , 0, clause( 2, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 102.52/102.88 ) ] )
% 102.52/102.88 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a )] )
% 102.52/102.88 ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 subsumption(
% 102.52/102.88 clause( 72187, [ member( 'member_of_1_not_of_2'( c, a ), c ) ] )
% 102.52/102.88 , clause( 73297, [ member( 'member_of_1_not_of_2'( c, a ), c ) ] )
% 102.52/102.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 ==> clause( 72191, [ ~( member( 'member_of_1_not_of_2'( c, a ), c ) ) ] )
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88
% 102.52/102.88 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 102.52/102.88
% 102.52/102.88 Bliksem ended
%------------------------------------------------------------------------------