TSTP Solution File: GRP039-4 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP039-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 07:34:31 EDT 2022
% Result : Unsatisfiable 47.45s 47.86s
% Output : Refutation 47.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP039-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Mon Jun 13 19:16:42 EDT 2022
% 0.11/0.32 % CPUTime :
% 26.25/26.67 *** allocated 10000 integers for termspace/termends
% 26.25/26.67 *** allocated 10000 integers for clauses
% 26.25/26.67 *** allocated 10000 integers for justifications
% 26.25/26.67 Bliksem 1.12
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67 Automatic Strategy Selection
% 26.25/26.67
% 26.25/26.67 Clauses:
% 26.25/26.67 [
% 26.25/26.67 [ product( identity, X, X ) ],
% 26.25/26.67 [ product( X, identity, X ) ],
% 26.25/26.67 [ product( inverse( X ), X, identity ) ],
% 26.25/26.67 [ product( X, inverse( X ), identity ) ],
% 26.25/26.67 [ product( X, Y, multiply( X, Y ) ) ],
% 26.25/26.67 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 26.25/26.67 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 26.25/26.67 ) ), product( X, U, W ) ],
% 26.25/26.67 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 26.25/26.67 ) ), product( Z, T, W ) ],
% 26.25/26.67 [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X ) ) ],
% 26.25/26.67 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 26.25/26.67 X, Y, Z ) ), 'subgroup_member'( Z ) ],
% 26.25/26.67 [ 'subgroup_member'( identity ) ],
% 26.25/26.67 [ 'subgroup_member'( 'element_in_O2'( X, Y ) ), 'subgroup_member'( Y ),
% 26.25/26.67 'subgroup_member'( X ) ],
% 26.25/26.67 [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'( Y ),
% 26.25/26.67 'subgroup_member'( X ) ],
% 26.25/26.67 [ 'subgroup_member'( b ) ],
% 26.25/26.67 [ product( b, inverse( a ), c ) ],
% 26.25/26.67 [ product( a, c, d ) ],
% 26.25/26.67 [ ~( 'subgroup_member'( d ) ) ]
% 26.25/26.67 ] .
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67 percentage equality = 0.030303, percentage horn = 0.882353
% 26.25/26.67 This is a problem with some equality
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67 Options Used:
% 26.25/26.67
% 26.25/26.67 useres = 1
% 26.25/26.67 useparamod = 1
% 26.25/26.67 useeqrefl = 1
% 26.25/26.67 useeqfact = 1
% 26.25/26.67 usefactor = 1
% 26.25/26.67 usesimpsplitting = 0
% 26.25/26.67 usesimpdemod = 5
% 26.25/26.67 usesimpres = 3
% 26.25/26.67
% 26.25/26.67 resimpinuse = 1000
% 26.25/26.67 resimpclauses = 20000
% 26.25/26.67 substype = eqrewr
% 26.25/26.67 backwardsubs = 1
% 26.25/26.67 selectoldest = 5
% 26.25/26.67
% 26.25/26.67 litorderings [0] = split
% 26.25/26.67 litorderings [1] = extend the termordering, first sorting on arguments
% 26.25/26.67
% 26.25/26.67 termordering = kbo
% 26.25/26.67
% 26.25/26.67 litapriori = 0
% 26.25/26.67 termapriori = 1
% 26.25/26.67 litaposteriori = 0
% 26.25/26.67 termaposteriori = 0
% 26.25/26.67 demodaposteriori = 0
% 26.25/26.67 ordereqreflfact = 0
% 26.25/26.67
% 26.25/26.67 litselect = negord
% 26.25/26.67
% 26.25/26.67 maxweight = 15
% 26.25/26.67 maxdepth = 30000
% 26.25/26.67 maxlength = 115
% 26.25/26.67 maxnrvars = 195
% 26.25/26.67 excuselevel = 1
% 26.25/26.67 increasemaxweight = 1
% 26.25/26.67
% 26.25/26.67 maxselected = 10000000
% 26.25/26.67 maxnrclauses = 10000000
% 26.25/26.67
% 26.25/26.67 showgenerated = 0
% 26.25/26.67 showkept = 0
% 26.25/26.67 showselected = 0
% 26.25/26.67 showdeleted = 0
% 26.25/26.67 showresimp = 1
% 26.25/26.67 showstatus = 2000
% 26.25/26.67
% 26.25/26.67 prologoutput = 1
% 26.25/26.67 nrgoals = 5000000
% 26.25/26.67 totalproof = 1
% 26.25/26.67
% 26.25/26.67 Symbols occurring in the translation:
% 26.25/26.67
% 26.25/26.67 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 26.25/26.67 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 26.25/26.67 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 26.25/26.67 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 26.25/26.67 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 26.25/26.67 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 26.25/26.67 product [41, 3] (w:1, o:57, a:1, s:1, b:0),
% 26.25/26.67 inverse [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 26.25/26.67 multiply [44, 2] (w:1, o:55, a:1, s:1, b:0),
% 26.25/26.67 'subgroup_member' [49, 1] (w:1, o:29, a:1, s:1, b:0),
% 26.25/26.67 'element_in_O2' [53, 2] (w:1, o:56, a:1, s:1, b:0),
% 26.25/26.67 b [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 26.25/26.67 a [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 26.25/26.67 c [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 26.25/26.67 d [57, 0] (w:1, o:22, a:1, s:1, b:0).
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67 Starting Search:
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67 Intermediate Status:
% 26.25/26.67 Generated: 4617
% 26.25/26.67 Kept: 2013
% 26.25/26.67 Inuse: 100
% 26.25/26.67 Deleted: 11
% 26.25/26.67 Deletedinuse: 5
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67 Intermediate Status:
% 26.25/26.67 Generated: 9893
% 26.25/26.67 Kept: 4029
% 26.25/26.67 Inuse: 163
% 26.25/26.67 Deleted: 14
% 26.25/26.67 Deletedinuse: 5
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67 Intermediate Status:
% 26.25/26.67 Generated: 15280
% 26.25/26.67 Kept: 6049
% 26.25/26.67 Inuse: 223
% 26.25/26.67 Deleted: 16
% 26.25/26.67 Deletedinuse: 5
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67 Intermediate Status:
% 26.25/26.67 Generated: 20981
% 26.25/26.67 Kept: 8075
% 26.25/26.67 Inuse: 271
% 26.25/26.67 Deleted: 21
% 26.25/26.67 Deletedinuse: 5
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67 Intermediate Status:
% 26.25/26.67 Generated: 30552
% 26.25/26.67 Kept: 10095
% 26.25/26.67 Inuse: 331
% 26.25/26.67 Deleted: 21
% 26.25/26.67 Deletedinuse: 5
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67 Resimplifying inuse:
% 26.25/26.67 Done
% 26.25/26.67
% 26.25/26.67
% 26.25/26.67 Intermediate Status:
% 26.25/26.67 Generated: 35267
% 26.25/26.67 Kept: 12113
% 26.25/26.67 Inuse: 360
% 26.25/26.67 Deleted: 21
% 26.25/26.67 Deletedinuse: 5
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 43069
% 47.45/47.86 Kept: 14248
% 47.45/47.86 Inuse: 408
% 47.45/47.86 Deleted: 32
% 47.45/47.86 Deletedinuse: 14
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 57213
% 47.45/47.86 Kept: 16261
% 47.45/47.86 Inuse: 460
% 47.45/47.86 Deleted: 36
% 47.45/47.86 Deletedinuse: 16
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 76610
% 47.45/47.86 Kept: 18280
% 47.45/47.86 Inuse: 512
% 47.45/47.86 Deleted: 46
% 47.45/47.86 Deletedinuse: 25
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying clauses:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 89228
% 47.45/47.86 Kept: 20320
% 47.45/47.86 Inuse: 576
% 47.45/47.86 Deleted: 2395
% 47.45/47.86 Deletedinuse: 33
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 104872
% 47.45/47.86 Kept: 22371
% 47.45/47.86 Inuse: 622
% 47.45/47.86 Deleted: 2414
% 47.45/47.86 Deletedinuse: 51
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 113728
% 47.45/47.86 Kept: 24391
% 47.45/47.86 Inuse: 653
% 47.45/47.86 Deleted: 2415
% 47.45/47.86 Deletedinuse: 51
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 123332
% 47.45/47.86 Kept: 26406
% 47.45/47.86 Inuse: 683
% 47.45/47.86 Deleted: 2415
% 47.45/47.86 Deletedinuse: 51
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 138062
% 47.45/47.86 Kept: 28424
% 47.45/47.86 Inuse: 715
% 47.45/47.86 Deleted: 2521
% 47.45/47.86 Deletedinuse: 147
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 157050
% 47.45/47.86 Kept: 32353
% 47.45/47.86 Inuse: 740
% 47.45/47.86 Deleted: 2537
% 47.45/47.86 Deletedinuse: 163
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 165173
% 47.45/47.86 Kept: 34402
% 47.45/47.86 Inuse: 781
% 47.45/47.86 Deleted: 2544
% 47.45/47.86 Deletedinuse: 167
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 174397
% 47.45/47.86 Kept: 36436
% 47.45/47.86 Inuse: 822
% 47.45/47.86 Deleted: 2557
% 47.45/47.86 Deletedinuse: 169
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 183560
% 47.45/47.86 Kept: 38485
% 47.45/47.86 Inuse: 847
% 47.45/47.86 Deleted: 2559
% 47.45/47.86 Deletedinuse: 169
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying clauses:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 194761
% 47.45/47.86 Kept: 40485
% 47.45/47.86 Inuse: 877
% 47.45/47.86 Deleted: 10378
% 47.45/47.86 Deletedinuse: 187
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 209407
% 47.45/47.86 Kept: 42523
% 47.45/47.86 Inuse: 919
% 47.45/47.86 Deleted: 10379
% 47.45/47.86 Deletedinuse: 188
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 219670
% 47.45/47.86 Kept: 44525
% 47.45/47.86 Inuse: 956
% 47.45/47.86 Deleted: 10380
% 47.45/47.86 Deletedinuse: 188
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 228146
% 47.45/47.86 Kept: 46608
% 47.45/47.86 Inuse: 991
% 47.45/47.86 Deleted: 10384
% 47.45/47.86 Deletedinuse: 192
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 235708
% 47.45/47.86 Kept: 48624
% 47.45/47.86 Inuse: 1016
% 47.45/47.86 Deleted: 10384
% 47.45/47.86 Deletedinuse: 192
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 246285
% 47.45/47.86 Kept: 50630
% 47.45/47.86 Inuse: 1057
% 47.45/47.86 Deleted: 10530
% 47.45/47.86 Deletedinuse: 336
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 258696
% 47.45/47.86 Kept: 52637
% 47.45/47.86 Inuse: 1091
% 47.45/47.86 Deleted: 10531
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 268476
% 47.45/47.86 Kept: 54834
% 47.45/47.86 Inuse: 1135
% 47.45/47.86 Deleted: 10536
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 275060
% 47.45/47.86 Kept: 56949
% 47.45/47.86 Inuse: 1166
% 47.45/47.86 Deleted: 10540
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 279016
% 47.45/47.86 Kept: 58967
% 47.45/47.86 Inuse: 1176
% 47.45/47.86 Deleted: 10556
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying clauses:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 289535
% 47.45/47.86 Kept: 60999
% 47.45/47.86 Inuse: 1194
% 47.45/47.86 Deleted: 20577
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 300676
% 47.45/47.86 Kept: 63045
% 47.45/47.86 Inuse: 1237
% 47.45/47.86 Deleted: 20577
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 307300
% 47.45/47.86 Kept: 65069
% 47.45/47.86 Inuse: 1261
% 47.45/47.86 Deleted: 20577
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 314603
% 47.45/47.86 Kept: 67088
% 47.45/47.86 Inuse: 1284
% 47.45/47.86 Deleted: 20577
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 320928
% 47.45/47.86 Kept: 69138
% 47.45/47.86 Inuse: 1305
% 47.45/47.86 Deleted: 20577
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 330170
% 47.45/47.86 Kept: 71184
% 47.45/47.86 Inuse: 1340
% 47.45/47.86 Deleted: 20577
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 337869
% 47.45/47.86 Kept: 73333
% 47.45/47.86 Inuse: 1365
% 47.45/47.86 Deleted: 20577
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 346214
% 47.45/47.86 Kept: 75339
% 47.45/47.86 Inuse: 1393
% 47.45/47.86 Deleted: 20577
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 353319
% 47.45/47.86 Kept: 77450
% 47.45/47.86 Inuse: 1410
% 47.45/47.86 Deleted: 20577
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 359590
% 47.45/47.86 Kept: 79461
% 47.45/47.86 Inuse: 1431
% 47.45/47.86 Deleted: 20577
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying clauses:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 366651
% 47.45/47.86 Kept: 81473
% 47.45/47.86 Inuse: 1452
% 47.45/47.86 Deleted: 20776
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 374042
% 47.45/47.86 Kept: 83526
% 47.45/47.86 Inuse: 1476
% 47.45/47.86 Deleted: 20776
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 381148
% 47.45/47.86 Kept: 85535
% 47.45/47.86 Inuse: 1503
% 47.45/47.86 Deleted: 20776
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 388650
% 47.45/47.86 Kept: 87557
% 47.45/47.86 Inuse: 1530
% 47.45/47.86 Deleted: 20776
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Intermediate Status:
% 47.45/47.86 Generated: 398216
% 47.45/47.86 Kept: 89727
% 47.45/47.86 Inuse: 1560
% 47.45/47.86 Deleted: 20776
% 47.45/47.86 Deletedinuse: 337
% 47.45/47.86
% 47.45/47.86 Resimplifying inuse:
% 47.45/47.86 Done
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 Bliksems!, er is een bewijs:
% 47.45/47.86 % SZS status Unsatisfiable
% 47.45/47.86 % SZS output start Refutation
% 47.45/47.86
% 47.45/47.86 clause( 0, [ product( identity, X, X ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 1, [ product( X, identity, X ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 47.45/47.86 )
% 47.45/47.86 .
% 47.45/47.86 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 47.45/47.86 Z, T, W ) ), product( X, U, W ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 47.45/47.86 X, U, W ) ), product( Z, T, W ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 8, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X ) )
% 47.45/47.86 ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 9, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 47.45/47.86 product( X, Y, Z ) ), 'subgroup_member'( Z ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 11, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 47.45/47.86 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 12, [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'(
% 47.45/47.86 Y ), 'subgroup_member'( X ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 13, [ 'subgroup_member'( b ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 14, [ product( b, inverse( a ), c ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 15, [ product( a, c, d ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 16, [ ~( 'subgroup_member'( d ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 28, [ 'subgroup_member'( inverse( b ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 38, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 39, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 96, [ ~( product( inverse( X ), Y, Z ) ), ~( product( identity, Y,
% 47.45/47.86 T ) ), product( X, Z, T ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 102, [ ~( product( X, Y, Z ) ), ~( product( identity, Y, T ) ),
% 47.45/47.86 product( inverse( X ), Z, T ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 107, [ ~( product( X, Y, identity ) ), ~( product( Y, Z, T ) ),
% 47.45/47.86 product( X, T, Z ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 164, [ ~( product( X, a, Y ) ), ~( product( X, d, Z ) ), product( Y
% 47.45/47.86 , c, Z ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 261, [ product( b, X, c ), ~( product( identity, inverse( a ), X )
% 47.45/47.86 ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 267, [ product( X, Y, identity ), ~( product( identity, inverse( X
% 47.45/47.86 ), Y ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 279, [ product( inverse( Y ), Y, X ), ~( product( identity,
% 47.45/47.86 identity, X ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 332, [ ~( 'subgroup_member'( inverse( a ) ) ), 'subgroup_member'( c
% 47.45/47.86 ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 333, [ ~( 'subgroup_member'( a ) ), ~( 'subgroup_member'( c ) ) ]
% 47.45/47.86 )
% 47.45/47.86 .
% 47.45/47.86 clause( 381, [ ~( 'subgroup_member'( a ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 417, [ 'subgroup_member'( 'element_in_O2'( a, X ) ),
% 47.45/47.86 'subgroup_member'( X ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 520, [ product( a, 'element_in_O2'( a, X ), X ), 'subgroup_member'(
% 47.45/47.86 X ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 4096, [ 'subgroup_member'( 'element_in_O2'( a, d ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 45698, [ ~( product( identity, inverse( a ), X ) ), ~( product(
% 47.45/47.86 identity, X, Y ) ), product( inverse( b ), c, Y ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 45738, [ product( inverse( b ), c, inverse( a ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 46368, [ ~( 'subgroup_member'( c ) ), 'subgroup_member'( inverse( a
% 47.45/47.86 ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 46486, [ ~( 'subgroup_member'( c ) ), 'subgroup_member'( inverse(
% 47.45/47.86 inverse( a ) ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 48095, [ ~( product( identity, inverse( inverse( X ) ), Y ) ), ~(
% 47.45/47.86 product( identity, Y, Z ) ), product( X, identity, Z ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 48124, [ product( X, identity, inverse( inverse( X ) ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 49027, [ =( inverse( inverse( X ) ), X ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 49043, [ ~( 'subgroup_member'( c ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 49083, [ ~( 'subgroup_member'( X ) ), ~( product( identity, c, X )
% 47.45/47.86 ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 52211, [ ~( product( identity, c, 'element_in_O2'( a, d ) ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 52994, [ ~( product( X, a, identity ) ), ~( product( X, d,
% 47.45/47.86 'element_in_O2'( a, d ) ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 90182, [ product( a, 'element_in_O2'( a, d ), d ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 90806, [ ~( product( X, a, identity ) ) ] )
% 47.45/47.86 .
% 47.45/47.86 clause( 90853, [] )
% 47.45/47.86 .
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 % SZS output end Refutation
% 47.45/47.86 found a proof!
% 47.45/47.86
% 47.45/47.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 47.45/47.86
% 47.45/47.86 initialclauses(
% 47.45/47.86 [ clause( 90855, [ product( identity, X, X ) ] )
% 47.45/47.86 , clause( 90856, [ product( X, identity, X ) ] )
% 47.45/47.86 , clause( 90857, [ product( inverse( X ), X, identity ) ] )
% 47.45/47.86 , clause( 90858, [ product( X, inverse( X ), identity ) ] )
% 47.45/47.86 , clause( 90859, [ product( X, Y, multiply( X, Y ) ) ] )
% 47.45/47.86 , clause( 90860, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 47.45/47.86 T ) ] )
% 47.45/47.86 , clause( 90861, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 47.45/47.86 product( Z, T, W ) ), product( X, U, W ) ] )
% 47.45/47.86 , clause( 90862, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 47.45/47.86 product( X, U, W ) ), product( Z, T, W ) ] )
% 47.45/47.86 , clause( 90863, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 47.45/47.86 X ) ) ] )
% 47.45/47.86 , clause( 90864, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) )
% 47.45/47.86 , ~( product( X, Y, Z ) ), 'subgroup_member'( Z ) ] )
% 47.45/47.86 , clause( 90865, [ 'subgroup_member'( identity ) ] )
% 47.45/47.86 , clause( 90866, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 47.45/47.86 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 47.45/47.86 , clause( 90867, [ product( X, 'element_in_O2'( X, Y ), Y ),
% 47.45/47.86 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 47.45/47.86 , clause( 90868, [ 'subgroup_member'( b ) ] )
% 47.45/47.86 , clause( 90869, [ product( b, inverse( a ), c ) ] )
% 47.45/47.86 , clause( 90870, [ product( a, c, d ) ] )
% 47.45/47.86 , clause( 90871, [ ~( 'subgroup_member'( d ) ) ] )
% 47.45/47.86 ] ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 0, [ product( identity, X, X ) ] )
% 47.45/47.86 , clause( 90855, [ product( identity, X, X ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 1, [ product( X, identity, X ) ] )
% 47.45/47.86 , clause( 90856, [ product( X, identity, X ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 47.45/47.86 , clause( 90857, [ product( inverse( X ), X, identity ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 47.45/47.86 , clause( 90858, [ product( X, inverse( X ), identity ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 47.45/47.86 )
% 47.45/47.86 , clause( 90860, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 47.45/47.86 T ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.45/47.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 47.45/47.86 Z, T, W ) ), product( X, U, W ) ] )
% 47.45/47.86 , clause( 90861, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 47.45/47.86 product( Z, T, W ) ), product( X, U, W ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 47.45/47.86 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 47.45/47.86 , 2 ), ==>( 3, 3 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 47.45/47.86 X, U, W ) ), product( Z, T, W ) ] )
% 47.45/47.86 , clause( 90862, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 47.45/47.86 product( X, U, W ) ), product( Z, T, W ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 47.45/47.86 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 47.45/47.86 , 2 ), ==>( 3, 3 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 8, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X ) )
% 47.45/47.86 ] )
% 47.45/47.86 , clause( 90863, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 47.45/47.86 X ) ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 47.45/47.86 1 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 9, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 47.45/47.86 product( X, Y, Z ) ), 'subgroup_member'( Z ) ] )
% 47.45/47.86 , clause( 90864, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) )
% 47.45/47.86 , ~( product( X, Y, Z ) ), 'subgroup_member'( Z ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.45/47.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 47.45/47.86 ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 11, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 47.45/47.86 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 47.45/47.86 , clause( 90866, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 47.45/47.86 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.45/47.86 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 12, [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'(
% 47.45/47.86 Y ), 'subgroup_member'( X ) ] )
% 47.45/47.86 , clause( 90867, [ product( X, 'element_in_O2'( X, Y ), Y ),
% 47.45/47.86 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 47.45/47.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.45/47.86 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 13, [ 'subgroup_member'( b ) ] )
% 47.45/47.86 , clause( 90868, [ 'subgroup_member'( b ) ] )
% 47.45/47.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 14, [ product( b, inverse( a ), c ) ] )
% 47.45/47.86 , clause( 90869, [ product( b, inverse( a ), c ) ] )
% 47.45/47.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 15, [ product( a, c, d ) ] )
% 47.45/47.86 , clause( 90870, [ product( a, c, d ) ] )
% 47.45/47.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 16, [ ~( 'subgroup_member'( d ) ) ] )
% 47.45/47.86 , clause( 90871, [ ~( 'subgroup_member'( d ) ) ] )
% 47.45/47.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 resolution(
% 47.45/47.86 clause( 90977, [ 'subgroup_member'( inverse( b ) ) ] )
% 47.45/47.86 , clause( 8, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X )
% 47.45/47.86 ) ] )
% 47.45/47.86 , 0, clause( 13, [ 'subgroup_member'( b ) ] )
% 47.45/47.86 , 0, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 subsumption(
% 47.45/47.86 clause( 28, [ 'subgroup_member'( inverse( b ) ) ] )
% 47.45/47.86 , clause( 90977, [ 'subgroup_member'( inverse( b ) ) ] )
% 47.45/47.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.45/47.86
% 47.45/47.86
% 47.45/47.86 resolution(
% 47.45/47.86 clause( 90978, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 47.45/47.86 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 47.45/47.86 ] )
% 47.45/47.86 , 0, clause( 0, [ product( identity, X, X ) ] )
% 47.45/47.86 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 47.45/47.86 )] ), substitution( 1, [ :=( X, X )] )Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------