TSTP Solution File: SET018-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET018-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 22:45:29 EDT 2022
% Result : Unsatisfiable 241.78s 242.22s
% Output : Refutation 241.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.09 % Command : bliksem %s
% 0.08/0.28 % Computer : n003.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % DateTime : Mon Jul 11 08:13:44 EDT 2022
% 0.08/0.29 % CPUTime :
% 116.69/117.18 *** allocated 10000 integers for termspace/termends
% 116.69/117.18 *** allocated 10000 integers for clauses
% 116.69/117.18 *** allocated 10000 integers for justifications
% 116.69/117.18 Bliksem 1.12
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Automatic Strategy Selection
% 116.69/117.18
% 116.69/117.18 Clauses:
% 116.69/117.18 [
% 116.69/117.18 [ member( X, 'singleton_set'( X ) ) ],
% 116.69/117.18 [ ~( member( X, 'singleton_set'( Y ) ) ), =( X, Y ) ],
% 116.69/117.18 [ member( X, 'unordered_pair'( X, Y ) ) ],
% 116.69/117.18 [ member( X, 'unordered_pair'( Y, X ) ) ],
% 116.69/117.18 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 116.69/117.18 ,
% 116.69/117.18 [ =( 'ordered_pair'( X, Y ), 'unordered_pair'( 'singleton_set'( X ),
% 116.69/117.18 'unordered_pair'( X, Y ) ) ) ],
% 116.69/117.18 [ =( 'ordered_pair'( m1, r1 ), 'ordered_pair'( m2, r2 ) ) ],
% 116.69/117.18 [ ~( =( r1, r2 ) ) ]
% 116.69/117.18 ] .
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 percentage equality = 0.545455, percentage horn = 0.875000
% 116.69/117.18 This is a problem with some equality
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Options Used:
% 116.69/117.18
% 116.69/117.18 useres = 1
% 116.69/117.18 useparamod = 1
% 116.69/117.18 useeqrefl = 1
% 116.69/117.18 useeqfact = 1
% 116.69/117.18 usefactor = 1
% 116.69/117.18 usesimpsplitting = 0
% 116.69/117.18 usesimpdemod = 5
% 116.69/117.18 usesimpres = 3
% 116.69/117.18
% 116.69/117.18 resimpinuse = 1000
% 116.69/117.18 resimpclauses = 20000
% 116.69/117.18 substype = eqrewr
% 116.69/117.18 backwardsubs = 1
% 116.69/117.18 selectoldest = 5
% 116.69/117.18
% 116.69/117.18 litorderings [0] = split
% 116.69/117.18 litorderings [1] = extend the termordering, first sorting on arguments
% 116.69/117.18
% 116.69/117.18 termordering = kbo
% 116.69/117.18
% 116.69/117.18 litapriori = 0
% 116.69/117.18 termapriori = 1
% 116.69/117.18 litaposteriori = 0
% 116.69/117.18 termaposteriori = 0
% 116.69/117.18 demodaposteriori = 0
% 116.69/117.18 ordereqreflfact = 0
% 116.69/117.18
% 116.69/117.18 litselect = negord
% 116.69/117.18
% 116.69/117.18 maxweight = 15
% 116.69/117.18 maxdepth = 30000
% 116.69/117.18 maxlength = 115
% 116.69/117.18 maxnrvars = 195
% 116.69/117.18 excuselevel = 1
% 116.69/117.18 increasemaxweight = 1
% 116.69/117.18
% 116.69/117.18 maxselected = 10000000
% 116.69/117.18 maxnrclauses = 10000000
% 116.69/117.18
% 116.69/117.18 showgenerated = 0
% 116.69/117.18 showkept = 0
% 116.69/117.18 showselected = 0
% 116.69/117.18 showdeleted = 0
% 116.69/117.18 showresimp = 1
% 116.69/117.18 showstatus = 2000
% 116.69/117.18
% 116.69/117.18 prologoutput = 1
% 116.69/117.18 nrgoals = 5000000
% 116.69/117.18 totalproof = 1
% 116.69/117.18
% 116.69/117.18 Symbols occurring in the translation:
% 116.69/117.18
% 116.69/117.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 116.69/117.18 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 116.69/117.18 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 116.69/117.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 116.69/117.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 116.69/117.18 'singleton_set' [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 116.69/117.18 member [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 116.69/117.18 'unordered_pair' [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 116.69/117.18 'ordered_pair' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 116.69/117.18 m1 [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 116.69/117.18 r1 [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 116.69/117.18 m2 [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 116.69/117.18 r2 [49, 0] (w:1, o:15, a:1, s:1, b:0).
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Starting Search:
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Intermediate Status:
% 116.69/117.18 Generated: 4696
% 116.69/117.18 Kept: 2052
% 116.69/117.18 Inuse: 47
% 116.69/117.18 Deleted: 0
% 116.69/117.18 Deletedinuse: 0
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Intermediate Status:
% 116.69/117.18 Generated: 10342
% 116.69/117.18 Kept: 4088
% 116.69/117.18 Inuse: 85
% 116.69/117.18 Deleted: 10
% 116.69/117.18 Deletedinuse: 10
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Intermediate Status:
% 116.69/117.18 Generated: 18618
% 116.69/117.18 Kept: 6101
% 116.69/117.18 Inuse: 134
% 116.69/117.18 Deleted: 12
% 116.69/117.18 Deletedinuse: 12
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Intermediate Status:
% 116.69/117.18 Generated: 41681
% 116.69/117.18 Kept: 8123
% 116.69/117.18 Inuse: 179
% 116.69/117.18 Deleted: 12
% 116.69/117.18 Deletedinuse: 12
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Intermediate Status:
% 116.69/117.18 Generated: 80896
% 116.69/117.18 Kept: 10214
% 116.69/117.18 Inuse: 221
% 116.69/117.18 Deleted: 24
% 116.69/117.18 Deletedinuse: 12
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Intermediate Status:
% 116.69/117.18 Generated: 115310
% 116.69/117.18 Kept: 12320
% 116.69/117.18 Inuse: 263
% 116.69/117.18 Deleted: 32
% 116.69/117.18 Deletedinuse: 20
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Intermediate Status:
% 116.69/117.18 Generated: 140100
% 116.69/117.18 Kept: 14359
% 116.69/117.18 Inuse: 289
% 116.69/117.18 Deleted: 38
% 116.69/117.18 Deletedinuse: 26
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Intermediate Status:
% 116.69/117.18 Generated: 164096
% 116.69/117.18 Kept: 16378
% 116.69/117.18 Inuse: 316
% 116.69/117.18 Deleted: 40
% 116.69/117.18 Deletedinuse: 28
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Intermediate Status:
% 116.69/117.18 Generated: 200649
% 116.69/117.18 Kept: 18424
% 116.69/117.18 Inuse: 351
% 116.69/117.18 Deleted: 40
% 116.69/117.18 Deletedinuse: 28
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18 Resimplifying inuse:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18 Resimplifying clauses:
% 116.69/117.18 Done
% 116.69/117.18
% 116.69/117.18
% 116.69/117.18 Intermediate Status:
% 116.69/117.18 Generated: 241951
% 116.69/117.18 Kept: 20426
% 116.69/117.18 Inuse: 382
% 241.78/242.22 Deleted: 2624
% 241.78/242.22 Deletedinuse: 28
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 332263
% 241.78/242.22 Kept: 22439
% 241.78/242.22 Inuse: 427
% 241.78/242.22 Deleted: 2624
% 241.78/242.22 Deletedinuse: 28
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 399503
% 241.78/242.22 Kept: 24836
% 241.78/242.22 Inuse: 464
% 241.78/242.22 Deleted: 2624
% 241.78/242.22 Deletedinuse: 28
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 444166
% 241.78/242.22 Kept: 27848
% 241.78/242.22 Inuse: 486
% 241.78/242.22 Deleted: 2697
% 241.78/242.22 Deletedinuse: 85
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 455564
% 241.78/242.22 Kept: 30015
% 241.78/242.22 Inuse: 489
% 241.78/242.22 Deleted: 2697
% 241.78/242.22 Deletedinuse: 85
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 478072
% 241.78/242.22 Kept: 32063
% 241.78/242.22 Inuse: 502
% 241.78/242.22 Deleted: 2701
% 241.78/242.22 Deletedinuse: 85
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 516640
% 241.78/242.22 Kept: 35926
% 241.78/242.22 Inuse: 517
% 241.78/242.22 Deleted: 2708
% 241.78/242.22 Deletedinuse: 85
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 548679
% 241.78/242.22 Kept: 38103
% 241.78/242.22 Inuse: 532
% 241.78/242.22 Deleted: 2708
% 241.78/242.22 Deletedinuse: 85
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying clauses:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 557007
% 241.78/242.22 Kept: 40397
% 241.78/242.22 Inuse: 535
% 241.78/242.22 Deleted: 7239
% 241.78/242.22 Deletedinuse: 88
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 582319
% 241.78/242.22 Kept: 42490
% 241.78/242.22 Inuse: 552
% 241.78/242.22 Deleted: 7239
% 241.78/242.22 Deletedinuse: 88
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 602612
% 241.78/242.22 Kept: 44601
% 241.78/242.22 Inuse: 567
% 241.78/242.22 Deleted: 7239
% 241.78/242.22 Deletedinuse: 88
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 637443
% 241.78/242.22 Kept: 46655
% 241.78/242.22 Inuse: 589
% 241.78/242.22 Deleted: 7274
% 241.78/242.22 Deletedinuse: 123
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 658787
% 241.78/242.22 Kept: 48701
% 241.78/242.22 Inuse: 600
% 241.78/242.22 Deleted: 7274
% 241.78/242.22 Deletedinuse: 123
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 678449
% 241.78/242.22 Kept: 50728
% 241.78/242.22 Inuse: 608
% 241.78/242.22 Deleted: 7274
% 241.78/242.22 Deletedinuse: 123
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 738118
% 241.78/242.22 Kept: 52740
% 241.78/242.22 Inuse: 642
% 241.78/242.22 Deleted: 7274
% 241.78/242.22 Deletedinuse: 123
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 773325
% 241.78/242.22 Kept: 54807
% 241.78/242.22 Inuse: 663
% 241.78/242.22 Deleted: 7274
% 241.78/242.22 Deletedinuse: 123
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 793409
% 241.78/242.22 Kept: 56828
% 241.78/242.22 Inuse: 681
% 241.78/242.22 Deleted: 7274
% 241.78/242.22 Deletedinuse: 123
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 851388
% 241.78/242.22 Kept: 61837
% 241.78/242.22 Inuse: 709
% 241.78/242.22 Deleted: 7274
% 241.78/242.22 Deletedinuse: 123
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying clauses:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 858686
% 241.78/242.22 Kept: 65456
% 241.78/242.22 Inuse: 710
% 241.78/242.22 Deleted: 10321
% 241.78/242.22 Deletedinuse: 123
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 901793
% 241.78/242.22 Kept: 67536
% 241.78/242.22 Inuse: 729
% 241.78/242.22 Deleted: 10333
% 241.78/242.22 Deletedinuse: 135
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 936195
% 241.78/242.22 Kept: 69605
% 241.78/242.22 Inuse: 744
% 241.78/242.22 Deleted: 10339
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 973732
% 241.78/242.22 Kept: 71619
% 241.78/242.22 Inuse: 759
% 241.78/242.22 Deleted: 10339
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1016506
% 241.78/242.22 Kept: 73637
% 241.78/242.22 Inuse: 777
% 241.78/242.22 Deleted: 10339
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1050272
% 241.78/242.22 Kept: 75682
% 241.78/242.22 Inuse: 803
% 241.78/242.22 Deleted: 10339
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1114878
% 241.78/242.22 Kept: 77720
% 241.78/242.22 Inuse: 829
% 241.78/242.22 Deleted: 10342
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1170742
% 241.78/242.22 Kept: 79754
% 241.78/242.22 Inuse: 849
% 241.78/242.22 Deleted: 10345
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1227953
% 241.78/242.22 Kept: 81808
% 241.78/242.22 Inuse: 869
% 241.78/242.22 Deleted: 10345
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying clauses:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1272970
% 241.78/242.22 Kept: 83841
% 241.78/242.22 Inuse: 884
% 241.78/242.22 Deleted: 12306
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1321501
% 241.78/242.22 Kept: 85940
% 241.78/242.22 Inuse: 904
% 241.78/242.22 Deleted: 12306
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1356245
% 241.78/242.22 Kept: 87991
% 241.78/242.22 Inuse: 920
% 241.78/242.22 Deleted: 12306
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1398769
% 241.78/242.22 Kept: 90026
% 241.78/242.22 Inuse: 939
% 241.78/242.22 Deleted: 12306
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1431627
% 241.78/242.22 Kept: 92109
% 241.78/242.22 Inuse: 957
% 241.78/242.22 Deleted: 12306
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1469854
% 241.78/242.22 Kept: 94155
% 241.78/242.22 Inuse: 977
% 241.78/242.22 Deleted: 12306
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1508098
% 241.78/242.22 Kept: 96174
% 241.78/242.22 Inuse: 998
% 241.78/242.22 Deleted: 12306
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1542679
% 241.78/242.22 Kept: 98256
% 241.78/242.22 Inuse: 1017
% 241.78/242.22 Deleted: 12306
% 241.78/242.22 Deletedinuse: 141
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1558759
% 241.78/242.22 Kept: 100533
% 241.78/242.22 Inuse: 1028
% 241.78/242.22 Deleted: 12310
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying clauses:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1570990
% 241.78/242.22 Kept: 102631
% 241.78/242.22 Inuse: 1038
% 241.78/242.22 Deleted: 14240
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1587103
% 241.78/242.22 Kept: 104740
% 241.78/242.22 Inuse: 1049
% 241.78/242.22 Deleted: 14240
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1609844
% 241.78/242.22 Kept: 106830
% 241.78/242.22 Inuse: 1063
% 241.78/242.22 Deleted: 14240
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1632996
% 241.78/242.22 Kept: 108871
% 241.78/242.22 Inuse: 1078
% 241.78/242.22 Deleted: 14240
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1654493
% 241.78/242.22 Kept: 110931
% 241.78/242.22 Inuse: 1092
% 241.78/242.22 Deleted: 14240
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1697441
% 241.78/242.22 Kept: 114888
% 241.78/242.22 Inuse: 1117
% 241.78/242.22 Deleted: 14240
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1704383
% 241.78/242.22 Kept: 117092
% 241.78/242.22 Inuse: 1118
% 241.78/242.22 Deleted: 14240
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1711625
% 241.78/242.22 Kept: 119343
% 241.78/242.22 Inuse: 1119
% 241.78/242.22 Deleted: 14240
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1729132
% 241.78/242.22 Kept: 121947
% 241.78/242.22 Inuse: 1121
% 241.78/242.22 Deleted: 14240
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying clauses:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Intermediate Status:
% 241.78/242.22 Generated: 1776255
% 241.78/242.22 Kept: 124023
% 241.78/242.22 Inuse: 1145
% 241.78/242.22 Deleted: 14449
% 241.78/242.22 Deletedinuse: 145
% 241.78/242.22
% 241.78/242.22 Resimplifying inuse:
% 241.78/242.22 Done
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 Bliksems!, er is een bewijs:
% 241.78/242.22 % SZS status Unsatisfiable
% 241.78/242.22 % SZS output start Refutation
% 241.78/242.22
% 241.78/242.22 clause( 0, [ member( X, 'singleton_set'( X ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 1, [ ~( member( X, 'singleton_set'( Y ) ) ), =( X, Y ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 2, [ member( X, 'unordered_pair'( X, Y ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 3, [ member( X, 'unordered_pair'( Y, X ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 4, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z
% 241.78/242.22 ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 5, [ =( 'unordered_pair'( 'singleton_set'( X ), 'unordered_pair'( X
% 241.78/242.22 , Y ) ), 'ordered_pair'( X, Y ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 6, [ =( 'ordered_pair'( m2, r2 ), 'ordered_pair'( m1, r1 ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 7, [ ~( =( r2, r1 ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 8, [ ~( member( X, 'unordered_pair'( Y, Y ) ) ), =( X, Y ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 14, [ =( 'ordered_pair'( X, r2 ), 'ordered_pair'( m1, r1 ) ), ~(
% 241.78/242.22 member( X, 'singleton_set'( m2 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 23, [ ~( =( X, r1 ) ), ~( member( r2, 'singleton_set'( X ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 24, [ ~( =( X, r1 ) ), ~( member( X, 'singleton_set'( r2 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 58, [ ~( =( Y, r1 ) ), ~( member( Y, X ) ), ~( member( X,
% 241.78/242.22 'unordered_pair'( 'singleton_set'( r2 ), Z ) ) ), =( X, Z ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 70, [ ~( =( X, r1 ) ), ~( member( r2, Y ) ), ~( member( Y,
% 241.78/242.22 'unordered_pair'( 'singleton_set'( X ), Z ) ) ), =( Y, Z ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 71, [ ~( =( Y, X ) ), ~( member( r2, 'singleton_set'( Y ) ) ), ~(
% 241.78/242.22 member( r1, 'unordered_pair'( Z, X ) ) ), =( r1, Z ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 101, [ ~( member( Z, Y ) ), =( Z, X ), ~( member( Y,
% 241.78/242.22 'unordered_pair'( T, 'singleton_set'( X ) ) ) ), =( Y, T ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 113, [ member( X, Z ), ~( member( Z, 'unordered_pair'( T,
% 241.78/242.22 'unordered_pair'( X, Y ) ) ) ), =( Z, T ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 119, [ member( X, Y ), ~( member( Y, 'unordered_pair'(
% 241.78/242.22 'singleton_set'( X ), Z ) ) ), =( Y, Z ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 122, [ ~( =( X, r1 ) ), ~( member( r2, 'unordered_pair'( X, Y ) ) )
% 241.78/242.22 , =( r2, Y ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 123, [ ~( =( X, r1 ) ), ~( member( X, 'unordered_pair'( r2, Y ) ) )
% 241.78/242.22 , =( X, Y ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 128, [ ~( member( r1, 'unordered_pair'( r2, X ) ) ), =( r1, X ) ]
% 241.78/242.22 )
% 241.78/242.22 .
% 241.78/242.22 clause( 129, [ ~( member( r2, 'unordered_pair'( r1, X ) ) ), =( r2, X ) ]
% 241.78/242.22 )
% 241.78/242.22 .
% 241.78/242.22 clause( 136, [ ~( =( X, Y ) ), ~( member( Y, Z ) ), =( Y, Z ), ~( member( Z
% 241.78/242.22 , 'unordered_pair'( X, 'singleton_set'( Z ) ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 288, [ ~( =( X, r1 ) ), ~( member( r2, 'unordered_pair'( X, X ) ) )
% 241.78/242.22 ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 291, [ ~( member( r2, 'unordered_pair'( r1, r1 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 295, [ ~( member( Z, 'ordered_pair'( X, Y ) ) ), =( Z,
% 241.78/242.22 'singleton_set'( X ) ), =( Z, 'unordered_pair'( X, Y ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 308, [ member( 'singleton_set'( X ), 'ordered_pair'( X, Y ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 309, [ member( 'unordered_pair'( X, Y ), 'ordered_pair'( X, Y ) ) ]
% 241.78/242.22 )
% 241.78/242.22 .
% 241.78/242.22 clause( 363, [ member( 'singleton_set'( m2 ), 'ordered_pair'( m1, r1 ) ) ]
% 241.78/242.22 )
% 241.78/242.22 .
% 241.78/242.22 clause( 503, [ member( 'unordered_pair'( m2, r2 ), 'ordered_pair'( m1, r1 )
% 241.78/242.22 ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 2047, [ =( 'ordered_pair'( r2, r2 ), 'ordered_pair'( m1, r1 ) ),
% 241.78/242.22 ~( member( r2, 'unordered_pair'( r1, m2 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 11150, [ ~( member( r2, X ) ), ~( =( Y, r1 ) ), ~( member( X,
% 241.78/242.22 'unordered_pair'( 'singleton_set'( Y ), 'unordered_pair'( r1, r1 ) ) ) )
% 241.78/242.22 ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 11166, [ ~( member( r2, X ) ), ~( member( X, 'ordered_pair'( r1, r1
% 241.78/242.22 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 11193, [ ~( member( 'unordered_pair'( X, r2 ), 'ordered_pair'( r1,
% 241.78/242.22 r1 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 11502, [ ~( =( X, Y ) ), ~( member( r2, 'singleton_set'( X ) ) ),
% 241.78/242.22 ~( member( r1, 'unordered_pair'( m1, Y ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 11503, [ ~( member( r2, 'singleton_set'( X ) ) ), ~( member( r1,
% 241.78/242.22 'unordered_pair'( m1, X ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 11572, [ ~( member( r1, 'unordered_pair'( m1, r2 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 11653, [ ~( member( r1, 'unordered_pair'( r2, m1 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 11734, [ ~( member( r1, X ) ), ~( =( Y, r1 ) ), ~( member( Y, X ) )
% 241.78/242.22 , ~( member( X, 'ordered_pair'( r2, m1 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 11827, [ ~( member( r1, X ) ), ~( member( X, 'ordered_pair'( r2, m1
% 241.78/242.22 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 12347, [ ~( member( 'unordered_pair'( X, r1 ), 'ordered_pair'( r2,
% 241.78/242.22 m1 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 24247, [ member( X, Y ), member( Z, Y ), ~( member( Y,
% 241.78/242.22 'unordered_pair'( 'singleton_set'( X ), 'unordered_pair'( Z, T ) ) ) ) ]
% 241.78/242.22 )
% 241.78/242.22 .
% 241.78/242.22 clause( 24250, [ member( X, Y ), ~( member( Y, 'ordered_pair'( X, Z ) ) ) ]
% 241.78/242.22 )
% 241.78/242.22 .
% 241.78/242.22 clause( 24802, [ member( m1, 'singleton_set'( m2 ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 24870, [ =( 'ordered_pair'( m1, r2 ), 'ordered_pair'( m1, r1 ) ) ]
% 241.78/242.22 )
% 241.78/242.22 .
% 241.78/242.22 clause( 24873, [ =( m2, m1 ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 24979, [ member( 'unordered_pair'( m1, r2 ), 'ordered_pair'( m1, r1
% 241.78/242.22 ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 26671, [ =( 'ordered_pair'( r2, r2 ), 'ordered_pair'( r2, r1 ) ),
% 241.78/242.22 ~( member( r2, 'unordered_pair'( r1, m1 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 36587, [ ~( =( X, Y ) ), ~( member( Y, X ) ), =( Y, X ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 36594, [ ~( =( X, Y ) ), =( Y, X ), ~( member( X, 'unordered_pair'(
% 241.78/242.22 'singleton_set'( Y ), Z ) ) ), =( X, Z ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 38101, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 39654, [ member( Y, Z ), ~( =( Z, 'unordered_pair'( X, Y ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 40290, [ ~( member( r2, 'unordered_pair'( r1, m1 ) ) ), =(
% 241.78/242.22 'ordered_pair'( r2, r1 ), 'ordered_pair'( m1, r1 ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 48307, [ ~( =( 'unordered_pair'( X, 'unordered_pair'( Y, r1 ) ),
% 241.78/242.22 'ordered_pair'( r2, m1 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 48311, [ ~( =( 'unordered_pair'( m1, r2 ), 'unordered_pair'( X, r1
% 241.78/242.22 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 48545, [ ~( =( 'singleton_set'( X ), 'unordered_pair'( Y, Z ) ) ),
% 241.78/242.22 =( Z, X ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 61842, [ ~( member( r2, 'unordered_pair'( r1, m1 ) ) ), =(
% 241.78/242.22 'ordered_pair'( r2, r2 ), 'ordered_pair'( m1, r1 ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 98455, [ ~( =( 'ordered_pair'( X, r1 ), 'ordered_pair'( r2, m1 ) )
% 241.78/242.22 ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 98602, [ ~( member( r2, 'unordered_pair'( r1, m1 ) ) ), ~( =(
% 241.78/242.22 'ordered_pair'( X, r1 ), 'ordered_pair'( m1, r1 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 98683, [ ~( member( r2, 'unordered_pair'( r1, m1 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 99678, [ ~( =( 'unordered_pair'( r1, m1 ), 'unordered_pair'( X, r2
% 241.78/242.22 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 100039, [ ~( =( 'unordered_pair'( r1, m1 ), 'unordered_pair'( Y, X
% 241.78/242.22 ) ) ), ~( =( 'singleton_set'( X ), 'unordered_pair'( Z, r2 ) ) ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 100222, [ ~( =( 'unordered_pair'( X, r2 ), 'singleton_set'( m1 ) )
% 241.78/242.22 ) ] )
% 241.78/242.22 .
% 241.78/242.22 clause( 124668, [ =( 'unordered_pair'( m1, r2 ), 'singleton_set'( m1 ) ) ]
% 241.78/242.22 )
% 241.78/242.22 .
% 241.78/242.22 clause( 124970, [] )
% 241.78/242.22 .
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 % SZS output end Refutation
% 241.78/242.22 found a proof!
% 241.78/242.22
% 241.78/242.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 241.78/242.22
% 241.78/242.22 initialclauses(
% 241.78/242.22 [ clause( 124972, [ member( X, 'singleton_set'( X ) ) ] )
% 241.78/242.22 , clause( 124973, [ ~( member( X, 'singleton_set'( Y ) ) ), =( X, Y ) ] )
% 241.78/242.22 , clause( 124974, [ member( X, 'unordered_pair'( X, Y ) ) ] )
% 241.78/242.22 , clause( 124975, [ member( X, 'unordered_pair'( Y, X ) ) ] )
% 241.78/242.22 , clause( 124976, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 241.78/242.22 =( X, Z ) ] )
% 241.78/242.22 , clause( 124977, [ =( 'ordered_pair'( X, Y ), 'unordered_pair'(
% 241.78/242.22 'singleton_set'( X ), 'unordered_pair'( X, Y ) ) ) ] )
% 241.78/242.22 , clause( 124978, [ =( 'ordered_pair'( m1, r1 ), 'ordered_pair'( m2, r2 ) )
% 241.78/242.22 ] )
% 241.78/242.22 , clause( 124979, [ ~( =( r1, r2 ) ) ] )
% 241.78/242.22 ] ).
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 subsumption(
% 241.78/242.22 clause( 0, [ member( X, 'singleton_set'( X ) ) ] )
% 241.78/242.22 , clause( 124972, [ member( X, 'singleton_set'( X ) ) ] )
% 241.78/242.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 subsumption(
% 241.78/242.22 clause( 1, [ ~( member( X, 'singleton_set'( Y ) ) ), =( X, Y ) ] )
% 241.78/242.22 , clause( 124973, [ ~( member( X, 'singleton_set'( Y ) ) ), =( X, Y ) ] )
% 241.78/242.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 241.78/242.22 ), ==>( 1, 1 )] ) ).
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 subsumption(
% 241.78/242.22 clause( 2, [ member( X, 'unordered_pair'( X, Y ) ) ] )
% 241.78/242.22 , clause( 124974, [ member( X, 'unordered_pair'( X, Y ) ) ] )
% 241.78/242.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 241.78/242.22 )] ) ).
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 subsumption(
% 241.78/242.22 clause( 3, [ member( X, 'unordered_pair'( Y, X ) ) ] )
% 241.78/242.22 , clause( 124975, [ member( X, 'unordered_pair'( Y, X ) ) ] )
% 241.78/242.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 241.78/242.22 )] ) ).
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 subsumption(
% 241.78/242.22 clause( 4, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z
% 241.78/242.22 ) ] )
% 241.78/242.22 , clause( 124976, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 241.78/242.22 =( X, Z ) ] )
% 241.78/242.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 241.78/242.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 eqswap(
% 241.78/242.22 clause( 124995, [ =( 'unordered_pair'( 'singleton_set'( X ),
% 241.78/242.22 'unordered_pair'( X, Y ) ), 'ordered_pair'( X, Y ) ) ] )
% 241.78/242.22 , clause( 124977, [ =( 'ordered_pair'( X, Y ), 'unordered_pair'(
% 241.78/242.22 'singleton_set'( X ), 'unordered_pair'( X, Y ) ) ) ] )
% 241.78/242.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 241.78/242.22
% 241.78/242.22
% 241.78/242.22 subsumption(
% 241.78/242.22 clause( 5, [ =( 'unordered_pair'( 'singleton_set'( X ), 'unordered_pair'( X
% 241.78/242.22 , Y ) ), 'ordered_pair'( X, Y ) Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------