TSTP Solution File: GRP040-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP040-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 : Sat Jul 16 07:34:32 EDT 2022
% Result : Unsatisfiable 74.99s 75.47s
% Output : Refutation 74.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP040-3 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : bliksem %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Tue Jun 14 07:02:54 EDT 2022
% 0.15/0.36 % CPUTime :
% 26.85/27.22 *** allocated 10000 integers for termspace/termends
% 26.85/27.22 *** allocated 10000 integers for clauses
% 26.85/27.22 *** allocated 10000 integers for justifications
% 26.85/27.22 Bliksem 1.12
% 26.85/27.22
% 26.85/27.22
% 26.85/27.22 Automatic Strategy Selection
% 26.85/27.22
% 26.85/27.22 Clauses:
% 26.85/27.22 [
% 26.85/27.22 [ product( identity, X, X ) ],
% 26.85/27.22 [ product( X, identity, X ) ],
% 26.85/27.22 [ product( inverse( X ), X, identity ) ],
% 26.85/27.22 [ product( X, inverse( X ), identity ) ],
% 26.85/27.22 [ product( X, Y, multiply( X, Y ) ) ],
% 26.85/27.22 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 26.85/27.22 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 26.85/27.22 ) ), product( X, U, W ) ],
% 26.85/27.22 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 26.85/27.22 ) ), product( Z, T, W ) ],
% 26.85/27.22 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 26.85/27.22 X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ],
% 26.85/27.22 [ 'subgroup_member'( 'element_in_O2'( X, Y ) ), 'subgroup_member'( Y ),
% 26.85/27.22 'subgroup_member'( X ) ],
% 26.85/27.22 [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'( Y ),
% 26.85/27.22 'subgroup_member'( X ) ],
% 26.85/27.22 [ ~( 'subgroup_member'( a ) ) ],
% 26.85/27.22 [ 'subgroup_member'( b ) ],
% 26.85/27.22 [ ~( 'subgroup_member'( d ) ) ],
% 26.85/27.22 [ product( b, inverse( a ), c ) ],
% 26.85/27.22 [ product( a, c, d ) ],
% 26.85/27.22 [ =( inverse( inverse( X ) ), X ) ]
% 26.85/27.22 ] .
% 26.85/27.22
% 26.85/27.22
% 26.85/27.22 percentage equality = 0.062500, percentage horn = 0.882353
% 26.85/27.22 This is a problem with some equality
% 26.85/27.22
% 26.85/27.22
% 26.85/27.22
% 26.85/27.22 Options Used:
% 26.85/27.22
% 26.85/27.22 useres = 1
% 26.85/27.22 useparamod = 1
% 26.85/27.22 useeqrefl = 1
% 26.85/27.22 useeqfact = 1
% 26.85/27.22 usefactor = 1
% 26.85/27.22 usesimpsplitting = 0
% 26.85/27.22 usesimpdemod = 5
% 26.85/27.22 usesimpres = 3
% 26.85/27.22
% 26.85/27.22 resimpinuse = 1000
% 26.85/27.22 resimpclauses = 20000
% 26.85/27.22 substype = eqrewr
% 26.85/27.22 backwardsubs = 1
% 26.85/27.22 selectoldest = 5
% 26.85/27.22
% 26.85/27.22 litorderings [0] = split
% 26.85/27.22 litorderings [1] = extend the termordering, first sorting on arguments
% 26.85/27.22
% 26.85/27.22 termordering = kbo
% 26.85/27.22
% 26.85/27.22 litapriori = 0
% 26.85/27.22 termapriori = 1
% 26.85/27.22 litaposteriori = 0
% 26.85/27.22 termaposteriori = 0
% 26.85/27.22 demodaposteriori = 0
% 26.85/27.22 ordereqreflfact = 0
% 26.85/27.22
% 26.85/27.22 litselect = negord
% 26.85/27.22
% 26.85/27.22 maxweight = 15
% 26.85/27.22 maxdepth = 30000
% 26.85/27.22 maxlength = 115
% 26.85/27.22 maxnrvars = 195
% 26.85/27.22 excuselevel = 1
% 26.85/27.22 increasemaxweight = 1
% 26.85/27.23
% 26.85/27.23 maxselected = 10000000
% 26.85/27.23 maxnrclauses = 10000000
% 26.85/27.23
% 26.85/27.23 showgenerated = 0
% 26.85/27.23 showkept = 0
% 26.85/27.23 showselected = 0
% 26.85/27.23 showdeleted = 0
% 26.85/27.23 showresimp = 1
% 26.85/27.23 showstatus = 2000
% 26.85/27.23
% 26.85/27.23 prologoutput = 1
% 26.85/27.23 nrgoals = 5000000
% 26.85/27.23 totalproof = 1
% 26.85/27.23
% 26.85/27.23 Symbols occurring in the translation:
% 26.85/27.23
% 26.85/27.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 26.85/27.23 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 26.85/27.23 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 26.85/27.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 26.85/27.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 26.85/27.23 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 26.85/27.23 product [41, 3] (w:1, o:57, a:1, s:1, b:0),
% 26.85/27.23 inverse [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 26.85/27.23 multiply [44, 2] (w:1, o:55, a:1, s:1, b:0),
% 26.85/27.23 'subgroup_member' [50, 1] (w:1, o:29, a:1, s:1, b:0),
% 26.85/27.23 'element_in_O2' [53, 2] (w:1, o:56, a:1, s:1, b:0),
% 26.85/27.23 a [54, 0] (w:1, o:19, a:1, s:1, b:0),
% 26.85/27.23 b [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 26.85/27.23 d [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 26.85/27.23 c [57, 0] (w:1, o:21, a:1, s:1, b:0).
% 26.85/27.23
% 26.85/27.23
% 26.85/27.23 Starting Search:
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23
% 26.85/27.23 Intermediate Status:
% 26.85/27.23 Generated: 4337
% 26.85/27.23 Kept: 2007
% 26.85/27.23 Inuse: 90
% 26.85/27.23 Deleted: 4
% 26.85/27.23 Deletedinuse: 1
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23
% 26.85/27.23 Intermediate Status:
% 26.85/27.23 Generated: 10780
% 26.85/27.23 Kept: 4033
% 26.85/27.23 Inuse: 152
% 26.85/27.23 Deleted: 8
% 26.85/27.23 Deletedinuse: 2
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23
% 26.85/27.23 Intermediate Status:
% 26.85/27.23 Generated: 16672
% 26.85/27.23 Kept: 6057
% 26.85/27.23 Inuse: 214
% 26.85/27.23 Deleted: 14
% 26.85/27.23 Deletedinuse: 6
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23
% 26.85/27.23 Intermediate Status:
% 26.85/27.23 Generated: 25511
% 26.85/27.23 Kept: 8888
% 26.85/27.23 Inuse: 253
% 26.85/27.23 Deleted: 14
% 26.85/27.23 Deletedinuse: 6
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23
% 26.85/27.23 Intermediate Status:
% 26.85/27.23 Generated: 29975
% 26.85/27.23 Kept: 10900
% 26.85/27.23 Inuse: 268
% 26.85/27.23 Deleted: 14
% 26.85/27.23 Deletedinuse: 6
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 26.85/27.23 Done
% 26.85/27.23
% 26.85/27.23
% 26.85/27.23 Intermediate Status:
% 26.85/27.23 Generated: 39473
% 26.85/27.23 Kept: 12907
% 26.85/27.23 Inuse: 313
% 26.85/27.23 Deleted: 14
% 26.85/27.23 Deletedinuse: 6
% 26.85/27.23
% 26.85/27.23 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 45421
% 74.99/75.47 Kept: 14957
% 74.99/75.47 Inuse: 350
% 74.99/75.47 Deleted: 14
% 74.99/75.47 Deletedinuse: 6
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 52113
% 74.99/75.47 Kept: 17321
% 74.99/75.47 Inuse: 378
% 74.99/75.47 Deleted: 14
% 74.99/75.47 Deletedinuse: 6
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 57307
% 74.99/75.47 Kept: 19379
% 74.99/75.47 Inuse: 397
% 74.99/75.47 Deleted: 14
% 74.99/75.47 Deletedinuse: 6
% 74.99/75.47
% 74.99/75.47 Resimplifying clauses:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 62634
% 74.99/75.47 Kept: 21442
% 74.99/75.47 Inuse: 425
% 74.99/75.47 Deleted: 499
% 74.99/75.47 Deletedinuse: 6
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 69538
% 74.99/75.47 Kept: 23504
% 74.99/75.47 Inuse: 463
% 74.99/75.47 Deleted: 510
% 74.99/75.47 Deletedinuse: 15
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 76020
% 74.99/75.47 Kept: 25550
% 74.99/75.47 Inuse: 496
% 74.99/75.47 Deleted: 510
% 74.99/75.47 Deletedinuse: 15
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 80637
% 74.99/75.47 Kept: 27623
% 74.99/75.47 Inuse: 521
% 74.99/75.47 Deleted: 510
% 74.99/75.47 Deletedinuse: 15
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 104580
% 74.99/75.47 Kept: 29638
% 74.99/75.47 Inuse: 570
% 74.99/75.47 Deleted: 517
% 74.99/75.47 Deletedinuse: 21
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 117421
% 74.99/75.47 Kept: 31685
% 74.99/75.47 Inuse: 603
% 74.99/75.47 Deleted: 520
% 74.99/75.47 Deletedinuse: 23
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 125594
% 74.99/75.47 Kept: 33922
% 74.99/75.47 Inuse: 632
% 74.99/75.47 Deleted: 525
% 74.99/75.47 Deletedinuse: 27
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 132250
% 74.99/75.47 Kept: 35964
% 74.99/75.47 Inuse: 660
% 74.99/75.47 Deleted: 536
% 74.99/75.47 Deletedinuse: 38
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 140457
% 74.99/75.47 Kept: 37975
% 74.99/75.47 Inuse: 687
% 74.99/75.47 Deleted: 542
% 74.99/75.47 Deletedinuse: 42
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 160142
% 74.99/75.47 Kept: 40002
% 74.99/75.47 Inuse: 723
% 74.99/75.47 Deleted: 616
% 74.99/75.47 Deletedinuse: 106
% 74.99/75.47
% 74.99/75.47 Resimplifying clauses:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 189801
% 74.99/75.47 Kept: 42040
% 74.99/75.47 Inuse: 754
% 74.99/75.47 Deleted: 12042
% 74.99/75.47 Deletedinuse: 167
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 200811
% 74.99/75.47 Kept: 44090
% 74.99/75.47 Inuse: 792
% 74.99/75.47 Deleted: 12043
% 74.99/75.47 Deletedinuse: 168
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 211804
% 74.99/75.47 Kept: 46129
% 74.99/75.47 Inuse: 831
% 74.99/75.47 Deleted: 12047
% 74.99/75.47 Deletedinuse: 172
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 225723
% 74.99/75.47 Kept: 48141
% 74.99/75.47 Inuse: 877
% 74.99/75.47 Deleted: 12060
% 74.99/75.47 Deletedinuse: 183
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 246605
% 74.99/75.47 Kept: 50189
% 74.99/75.47 Inuse: 926
% 74.99/75.47 Deleted: 12062
% 74.99/75.47 Deletedinuse: 184
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 261876
% 74.99/75.47 Kept: 52265
% 74.99/75.47 Inuse: 950
% 74.99/75.47 Deleted: 12068
% 74.99/75.47 Deletedinuse: 189
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 270346
% 74.99/75.47 Kept: 54312
% 74.99/75.47 Inuse: 969
% 74.99/75.47 Deleted: 12068
% 74.99/75.47 Deletedinuse: 189
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 280533
% 74.99/75.47 Kept: 56319
% 74.99/75.47 Inuse: 988
% 74.99/75.47 Deleted: 12112
% 74.99/75.47 Deletedinuse: 233
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 289813
% 74.99/75.47 Kept: 58367
% 74.99/75.47 Inuse: 1007
% 74.99/75.47 Deleted: 12119
% 74.99/75.47 Deletedinuse: 238
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 302544
% 74.99/75.47 Kept: 60415
% 74.99/75.47 Inuse: 1036
% 74.99/75.47 Deleted: 12122
% 74.99/75.47 Deletedinuse: 239
% 74.99/75.47
% 74.99/75.47 Resimplifying clauses:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 313437
% 74.99/75.47 Kept: 62443
% 74.99/75.47 Inuse: 1067
% 74.99/75.47 Deleted: 18239
% 74.99/75.47 Deletedinuse: 241
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 323109
% 74.99/75.47 Kept: 64515
% 74.99/75.47 Inuse: 1101
% 74.99/75.47 Deleted: 18242
% 74.99/75.47 Deletedinuse: 241
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 333271
% 74.99/75.47 Kept: 66530
% 74.99/75.47 Inuse: 1140
% 74.99/75.47 Deleted: 18248
% 74.99/75.47 Deletedinuse: 241
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 343077
% 74.99/75.47 Kept: 68547
% 74.99/75.47 Inuse: 1178
% 74.99/75.47 Deleted: 18252
% 74.99/75.47 Deletedinuse: 241
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 354869
% 74.99/75.47 Kept: 70565
% 74.99/75.47 Inuse: 1216
% 74.99/75.47 Deleted: 18253
% 74.99/75.47 Deletedinuse: 241
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 362929
% 74.99/75.47 Kept: 72641
% 74.99/75.47 Inuse: 1241
% 74.99/75.47 Deleted: 18255
% 74.99/75.47 Deletedinuse: 243
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 368130
% 74.99/75.47 Kept: 74775
% 74.99/75.47 Inuse: 1260
% 74.99/75.47 Deleted: 18255
% 74.99/75.47 Deletedinuse: 243
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 376085
% 74.99/75.47 Kept: 76791
% 74.99/75.47 Inuse: 1286
% 74.99/75.47 Deleted: 18256
% 74.99/75.47 Deletedinuse: 243
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 382649
% 74.99/75.47 Kept: 78850
% 74.99/75.47 Inuse: 1311
% 74.99/75.47 Deleted: 18259
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying clauses:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 391603
% 74.99/75.47 Kept: 80887
% 74.99/75.47 Inuse: 1342
% 74.99/75.47 Deleted: 19752
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 401403
% 74.99/75.47 Kept: 82953
% 74.99/75.47 Inuse: 1376
% 74.99/75.47 Deleted: 19752
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 408765
% 74.99/75.47 Kept: 85186
% 74.99/75.47 Inuse: 1402
% 74.99/75.47 Deleted: 19752
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 417157
% 74.99/75.47 Kept: 87296
% 74.99/75.47 Inuse: 1432
% 74.99/75.47 Deleted: 19753
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 424280
% 74.99/75.47 Kept: 89307
% 74.99/75.47 Inuse: 1453
% 74.99/75.47 Deleted: 19753
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 434597
% 74.99/75.47 Kept: 91367
% 74.99/75.47 Inuse: 1484
% 74.99/75.47 Deleted: 19753
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 443895
% 74.99/75.47 Kept: 93415
% 74.99/75.47 Inuse: 1510
% 74.99/75.47 Deleted: 19753
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 452491
% 74.99/75.47 Kept: 95533
% 74.99/75.47 Inuse: 1535
% 74.99/75.47 Deleted: 19753
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 464323
% 74.99/75.47 Kept: 97569
% 74.99/75.47 Inuse: 1569
% 74.99/75.47 Deleted: 19753
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Intermediate Status:
% 74.99/75.47 Generated: 476913
% 74.99/75.47 Kept: 99622
% 74.99/75.47 Inuse: 1593
% 74.99/75.47 Deleted: 19753
% 74.99/75.47 Deletedinuse: 246
% 74.99/75.47
% 74.99/75.47 Resimplifying inuse:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47 Resimplifying clauses:
% 74.99/75.47 Done
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 Bliksems!, er is een bewijs:
% 74.99/75.47 % SZS status Unsatisfiable
% 74.99/75.47 % SZS output start Refutation
% 74.99/75.47
% 74.99/75.47 clause( 0, [ product( identity, X, X ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 74.99/75.47 )
% 74.99/75.47 .
% 74.99/75.47 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 74.99/75.47 Z, T, W ) ), product( X, U, W ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 74.99/75.47 X, U, W ) ), product( Z, T, W ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 74.99/75.47 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 9, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 74.99/75.47 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 10, [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'(
% 74.99/75.47 Y ), 'subgroup_member'( X ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 11, [ ~( 'subgroup_member'( a ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 12, [ 'subgroup_member'( b ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 13, [ ~( 'subgroup_member'( d ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 14, [ product( b, inverse( a ), c ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 15, [ product( a, c, d ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 24, [ 'subgroup_member'( 'element_in_O2'( X, X ) ),
% 74.99/75.47 'subgroup_member'( X ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 27, [ 'subgroup_member'( 'element_in_O2'( d, d ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 36, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 54, [ product( Y, X, identity ), ~( product( Z, T, inverse( X ) ) )
% 74.99/75.47 , ~( product( Z, T, Y ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 100, [ product( b, X, c ), ~( product( identity, inverse( a ), X )
% 74.99/75.47 ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 158, [ ~( product( X, a, Y ) ), ~( product( Y, c, Z ) ), product( X
% 74.99/75.47 , d, Z ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 160, [ ~( product( X, Y, Z ) ), ~( product( identity, Y, T ) ),
% 74.99/75.47 product( inverse( X ), Z, T ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 344, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 74.99/75.47 )
% 74.99/75.47 .
% 74.99/75.47 clause( 345, [ ~( 'subgroup_member'( identity ) ), ~( 'subgroup_member'( X
% 74.99/75.47 ) ), 'subgroup_member'( inverse( X ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 354, [ ~( 'subgroup_member'( Y ) ), ~( 'subgroup_member'( inverse(
% 74.99/75.47 X ) ) ), ~( product( Y, X, Z ) ), 'subgroup_member'( Z ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 376, [ 'subgroup_member'( identity ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 420, [ 'subgroup_member'( 'element_in_O2'( a, X ) ),
% 74.99/75.47 'subgroup_member'( X ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 490, [ 'subgroup_member'( X ), 'subgroup_member'( Y ), ~( product(
% 74.99/75.47 Z, Y, T ) ), ~( product( Z, X, U ) ), product( T, 'element_in_O2'( Y, X )
% 74.99/75.47 , U ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 828, [ 'subgroup_member'( 'element_in_O2'( a, d ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 4089, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X
% 74.99/75.47 ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 4136, [ 'subgroup_member'( inverse( b ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 4146, [ ~( 'subgroup_member'( inverse( X ) ) ), 'subgroup_member'(
% 74.99/75.47 X ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 4542, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 35434, [ ~( product( X, a, identity ) ), product( X, d, c ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 36088, [ ~( product( identity, X, Y ) ), product( inverse( b ), c,
% 74.99/75.47 Y ), ~( product( identity, inverse( a ), X ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 36121, [ product( inverse( b ), c, inverse( a ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 36260, [ product( X, a, identity ), ~( product( inverse( b ), c, X
% 74.99/75.47 ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 75983, [ ~( 'subgroup_member'( inverse( c ) ) ), 'subgroup_member'(
% 74.99/75.47 inverse( a ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 76214, [ ~( 'subgroup_member'( inverse( c ) ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 76250, [ ~( 'subgroup_member'( c ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 76351, [ ~( 'subgroup_member'( X ) ), ~( product( identity, X, c )
% 74.99/75.47 ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 79463, [ ~( product( identity, 'element_in_O2'( a, d ), c ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 100035, [ 'subgroup_member'( a ), ~( product( X, a, identity ) ),
% 74.99/75.47 ~( product( X, d, c ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 100702, [ ~( product( X, a, identity ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 100732, [ ~( product( inverse( b ), c, X ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 100749, [ ~( product( identity, X, Y ) ), ~( product( identity,
% 74.99/75.47 inverse( a ), X ) ) ] )
% 74.99/75.47 .
% 74.99/75.47 clause( 100762, [] )
% 74.99/75.47 .
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 % SZS output end Refutation
% 74.99/75.47 found a proof!
% 74.99/75.47
% 74.99/75.47 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 74.99/75.47
% 74.99/75.47 initialclauses(
% 74.99/75.47 [ clause( 100764, [ product( identity, X, X ) ] )
% 74.99/75.47 , clause( 100765, [ product( X, identity, X ) ] )
% 74.99/75.47 , clause( 100766, [ product( inverse( X ), X, identity ) ] )
% 74.99/75.47 , clause( 100767, [ product( X, inverse( X ), identity ) ] )
% 74.99/75.47 , clause( 100768, [ product( X, Y, multiply( X, Y ) ) ] )
% 74.99/75.47 , clause( 100769, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z
% 74.99/75.47 , T ) ] )
% 74.99/75.47 , clause( 100770, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 74.99/75.47 product( Z, T, W ) ), product( X, U, W ) ] )
% 74.99/75.47 , clause( 100771, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 74.99/75.47 product( X, U, W ) ), product( Z, T, W ) ] )
% 74.99/75.47 , clause( 100772, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y )
% 74.99/75.47 ), ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 74.99/75.47 , clause( 100773, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 74.99/75.47 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 74.99/75.47 , clause( 100774, [ product( X, 'element_in_O2'( X, Y ), Y ),
% 74.99/75.47 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 74.99/75.47 , clause( 100775, [ ~( 'subgroup_member'( a ) ) ] )
% 74.99/75.47 , clause( 100776, [ 'subgroup_member'( b ) ] )
% 74.99/75.47 , clause( 100777, [ ~( 'subgroup_member'( d ) ) ] )
% 74.99/75.47 , clause( 100778, [ product( b, inverse( a ), c ) ] )
% 74.99/75.47 , clause( 100779, [ product( a, c, d ) ] )
% 74.99/75.47 , clause( 100780, [ =( inverse( inverse( X ) ), X ) ] )
% 74.99/75.47 ] ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 0, [ product( identity, X, X ) ] )
% 74.99/75.47 , clause( 100764, [ product( identity, X, X ) ] )
% 74.99/75.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 74.99/75.47 , clause( 100766, [ product( inverse( X ), X, identity ) ] )
% 74.99/75.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 74.99/75.47 , clause( 100767, [ product( X, inverse( X ), identity ) ] )
% 74.99/75.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 74.99/75.47 )
% 74.99/75.47 , clause( 100769, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z
% 74.99/75.47 , T ) ] )
% 74.99/75.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 74.99/75.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 74.99/75.47 Z, T, W ) ), product( X, U, W ) ] )
% 74.99/75.47 , clause( 100770, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 74.99/75.47 product( Z, T, W ) ), product( X, U, W ) ] )
% 74.99/75.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 74.99/75.47 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 74.99/75.47 , 2 ), ==>( 3, 3 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 74.99/75.47 X, U, W ) ), product( Z, T, W ) ] )
% 74.99/75.47 , clause( 100771, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 74.99/75.47 product( X, U, W ) ), product( Z, T, W ) ] )
% 74.99/75.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 74.99/75.47 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 74.99/75.47 , 2 ), ==>( 3, 3 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 74.99/75.47 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 74.99/75.47 , clause( 100772, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y )
% 74.99/75.47 ), ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 74.99/75.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 74.99/75.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 74.99/75.47 ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 9, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 74.99/75.47 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 74.99/75.47 , clause( 100773, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 74.99/75.47 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 74.99/75.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 74.99/75.47 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 10, [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'(
% 74.99/75.47 Y ), 'subgroup_member'( X ) ] )
% 74.99/75.47 , clause( 100774, [ product( X, 'element_in_O2'( X, Y ), Y ),
% 74.99/75.47 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 74.99/75.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 74.99/75.47 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 11, [ ~( 'subgroup_member'( a ) ) ] )
% 74.99/75.47 , clause( 100775, [ ~( 'subgroup_member'( a ) ) ] )
% 74.99/75.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 12, [ 'subgroup_member'( b ) ] )
% 74.99/75.47 , clause( 100776, [ 'subgroup_member'( b ) ] )
% 74.99/75.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 13, [ ~( 'subgroup_member'( d ) ) ] )
% 74.99/75.47 , clause( 100777, [ ~( 'subgroup_member'( d ) ) ] )
% 74.99/75.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 14, [ product( b, inverse( a ), c ) ] )
% 74.99/75.47 , clause( 100778, [ product( b, inverse( a ), c ) ] )
% 74.99/75.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.99/75.47
% 74.99/75.47
% 74.99/75.47 subsumption(
% 74.99/75.47 clause( 15, [ product( a, c, d ) ] )
% 74.99/75.47 , clause( 100779, [ product( a, c, d ) ] )
% 74.99/75.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.99/75.50
% 74.99/75.50
% 74.99/75.50 subsumption(
% 74.99/75.50 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 74.99/75.50 , clause( 100780, [ =( inverse( inverse( X ) ), X ) ] )
% 74.99/75.50 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.99/75.50
% 74.99/75.50
% 74.99/75.50 factor(
% 74.99/75.50 clause( 100902, [ 'subgroup_member'( 'element_in_O2'( X, X ) ),
% 74.99/75.50 'subgroup_member'( X ) ] )
% 74.99/75.50 , clause( 9, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 74.99/75.50 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 74.99/75.50 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 74.99/75.50
% 74.99/75.50
% 74.99/75.50 subsumption(
% 74.99/75.50 clause( 24, [ 'subgroup_member'( 'element_in_O2'( X, X ) ),
% 74.99/75.50 'subgroup_member'( X ) ] )
% 74.99/75.50 , clause( 100902, [ 'subgroup_member'( 'element_in_O2'( X, X ) ),
% 74.99/75.50 'subgroup_member'( X ) ] )
% 74.99/75.50 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 74.99/75.50 1 )] ) ).
% 74.99/75.50
% 74.99/75.50
% 74.99/75.50 resolution(
% 74.99/75.50 clause( 100903, [ 'subgroup_member'( 'element_in_O2'( d, d ) ) ] )
% 74.99/75.50 , clause( 13, [ ~( 'subgroup_member'( d ) ) ] )
% 74.99/75.50 , 0, clause( 24, [ 'subgroup_member'( 'element_in_O2'( X, X ) ),
% 74.99/75.50 'subgroup_member'( X ) ] )
% 74.99/75.50 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, d )] )).
% 74.99/75.50
% 74.99/75.50
% 74.99/75.50 subsumption(
% 74.99/75.50 clause( 27, [ 'subgroup_member'( 'element_in_O2'( d, d ) ) ] )
% 74.99/75.50 , clause( 100903, [ 'subgroup_member'( 'element_in_O2'( d, d ) ) ] )
% 74.99/75.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.99/75.50
% 74.99/75.50
% 74.99/75.50 resolution(
% 74.99/75.50 clause( 100904, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 74.99/75.50 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 74.99/75.50 ] )
% 74.99/75.50 , 0, clause( 0, [ product( identity, X, X ) ] )
% 74.99/75.50 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 74.99/75.50 )] ), substitution( 1, [ :=( X, X )] )).
% 74.99/75.50
% 74.99/75.50
% 74.99/75.50 subsumption(
% 74.99/75.50 clause( 36, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 74.99/75.50 , clause( 100904, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 74.99/75.50 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 74.99/75.50 ), ==>( 1, 1 )] ) ).
% 74.99/75.50
% 74.99/75.50
% 74.99/75.50 assignments is full
% 74.99/75.50
% 74.99/75.50 Memory use:
% 74.99/75.50
% 74.99/75.50 space for terms: 1460154
% 74.99/75.50 space for clauses: 4217386
% 74.99/75.50
% 74.99/75.50
% 74.99/75.50 clauses generated: 482337
% 74.99/75.50 clauses kept: 100763
% 74.99/75.50 clauses selected: 1601
% 74.99/75.50 clauses deleted: 28328
% 74.99/75.50 clauses inuse deleted: 246
% 74.99/75.50
% 74.99/75.50 subsentry: 18087542
% 74.99/75.50 literals s-matched: 7693607
% 74.99/75.50 literals matched: 5012740
% 74.99/75.50 full subsumption: 2614826
% 74.99/75.50
% 74.99/75.50 checksum: 2012080937
% 74.99/75.50
% 74.99/75.50
% 74.99/75.50 Bliksem ended
%------------------------------------------------------------------------------