TSTP Solution File: GRP039-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:34:30 EDT 2022
% Result : Unsatisfiable 70.60s 71.01s
% Output : Refutation 70.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.11 % Command : bliksem %s
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Mon Jun 13 12:42:22 EDT 2022
% 0.12/0.32 % CPUTime :
% 22.52/22.88 *** allocated 10000 integers for termspace/termends
% 22.52/22.88 *** allocated 10000 integers for clauses
% 22.52/22.88 *** allocated 10000 integers for justifications
% 22.52/22.88 Bliksem 1.12
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88 Automatic Strategy Selection
% 22.52/22.88
% 22.52/22.88 Clauses:
% 22.52/22.88 [
% 22.52/22.88 [ product( identity, X, X ) ],
% 22.52/22.88 [ product( X, identity, X ) ],
% 22.52/22.88 [ product( inverse( X ), X, identity ) ],
% 22.52/22.88 [ product( X, inverse( X ), identity ) ],
% 22.52/22.88 [ product( X, Y, multiply( X, Y ) ) ],
% 22.52/22.88 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 22.52/22.88 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 22.52/22.88 ) ), product( X, U, W ) ],
% 22.52/22.88 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 22.52/22.88 ) ), product( Z, T, W ) ],
% 22.52/22.88 [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X ) ) ],
% 22.52/22.88 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 22.52/22.88 X, Y, Z ) ), 'subgroup_member'( Z ) ],
% 22.52/22.88 [ 'subgroup_member'( 'element_in_O2'( X, Y ) ), 'subgroup_member'( Y ),
% 22.52/22.88 'subgroup_member'( X ) ],
% 22.52/22.88 [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'( Y ),
% 22.52/22.88 'subgroup_member'( X ) ],
% 22.52/22.88 [ 'subgroup_member'( b ) ],
% 22.52/22.88 [ product( b, inverse( a ), c ) ],
% 22.52/22.88 [ product( a, c, d ) ],
% 22.52/22.88 [ ~( 'subgroup_member'( d ) ) ]
% 22.52/22.88 ] .
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88 percentage equality = 0.031250, percentage horn = 0.875000
% 22.52/22.88 This is a problem with some equality
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88 Options Used:
% 22.52/22.88
% 22.52/22.88 useres = 1
% 22.52/22.88 useparamod = 1
% 22.52/22.88 useeqrefl = 1
% 22.52/22.88 useeqfact = 1
% 22.52/22.88 usefactor = 1
% 22.52/22.88 usesimpsplitting = 0
% 22.52/22.88 usesimpdemod = 5
% 22.52/22.88 usesimpres = 3
% 22.52/22.88
% 22.52/22.88 resimpinuse = 1000
% 22.52/22.88 resimpclauses = 20000
% 22.52/22.88 substype = eqrewr
% 22.52/22.88 backwardsubs = 1
% 22.52/22.88 selectoldest = 5
% 22.52/22.88
% 22.52/22.88 litorderings [0] = split
% 22.52/22.88 litorderings [1] = extend the termordering, first sorting on arguments
% 22.52/22.88
% 22.52/22.88 termordering = kbo
% 22.52/22.88
% 22.52/22.88 litapriori = 0
% 22.52/22.88 termapriori = 1
% 22.52/22.88 litaposteriori = 0
% 22.52/22.88 termaposteriori = 0
% 22.52/22.88 demodaposteriori = 0
% 22.52/22.88 ordereqreflfact = 0
% 22.52/22.88
% 22.52/22.88 litselect = negord
% 22.52/22.88
% 22.52/22.88 maxweight = 15
% 22.52/22.88 maxdepth = 30000
% 22.52/22.88 maxlength = 115
% 22.52/22.88 maxnrvars = 195
% 22.52/22.88 excuselevel = 1
% 22.52/22.88 increasemaxweight = 1
% 22.52/22.88
% 22.52/22.88 maxselected = 10000000
% 22.52/22.88 maxnrclauses = 10000000
% 22.52/22.88
% 22.52/22.88 showgenerated = 0
% 22.52/22.88 showkept = 0
% 22.52/22.88 showselected = 0
% 22.52/22.88 showdeleted = 0
% 22.52/22.88 showresimp = 1
% 22.52/22.88 showstatus = 2000
% 22.52/22.88
% 22.52/22.88 prologoutput = 1
% 22.52/22.88 nrgoals = 5000000
% 22.52/22.88 totalproof = 1
% 22.52/22.88
% 22.52/22.88 Symbols occurring in the translation:
% 22.52/22.88
% 22.52/22.88 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 22.52/22.88 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 22.52/22.88 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 22.52/22.88 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 22.52/22.88 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 22.52/22.88 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 22.52/22.88 product [41, 3] (w:1, o:57, a:1, s:1, b:0),
% 22.52/22.88 inverse [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 22.52/22.88 multiply [44, 2] (w:1, o:55, a:1, s:1, b:0),
% 22.52/22.88 'subgroup_member' [49, 1] (w:1, o:29, a:1, s:1, b:0),
% 22.52/22.88 'element_in_O2' [53, 2] (w:1, o:56, a:1, s:1, b:0),
% 22.52/22.88 b [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 22.52/22.88 a [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 22.52/22.88 c [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 22.52/22.88 d [57, 0] (w:1, o:22, a:1, s:1, b:0).
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88 Starting Search:
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88 Intermediate Status:
% 22.52/22.88 Generated: 4462
% 22.52/22.88 Kept: 2012
% 22.52/22.88 Inuse: 101
% 22.52/22.88 Deleted: 15
% 22.52/22.88 Deletedinuse: 2
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88 Intermediate Status:
% 22.52/22.88 Generated: 9710
% 22.52/22.88 Kept: 4041
% 22.52/22.88 Inuse: 161
% 22.52/22.88 Deleted: 15
% 22.52/22.88 Deletedinuse: 2
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88 Intermediate Status:
% 22.52/22.88 Generated: 15028
% 22.52/22.88 Kept: 6097
% 22.52/22.88 Inuse: 220
% 22.52/22.88 Deleted: 17
% 22.52/22.88 Deletedinuse: 2
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88 Intermediate Status:
% 22.52/22.88 Generated: 21164
% 22.52/22.88 Kept: 8116
% 22.52/22.88 Inuse: 270
% 22.52/22.88 Deleted: 17
% 22.52/22.88 Deletedinuse: 2
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88 Intermediate Status:
% 22.52/22.88 Generated: 26490
% 22.52/22.88 Kept: 10141
% 22.52/22.88 Inuse: 323
% 22.52/22.88 Deleted: 17
% 22.52/22.88 Deletedinuse: 2
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88
% 22.52/22.88 Intermediate Status:
% 22.52/22.88 Generated: 31215
% 22.52/22.88 Kept: 12159
% 22.52/22.88 Inuse: 364
% 22.52/22.88 Deleted: 17
% 22.52/22.88 Deletedinuse: 2
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 22.52/22.88 Done
% 22.52/22.88
% 22.52/22.88 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 42849
% 68.29/68.68 Kept: 14159
% 68.29/68.68 Inuse: 424
% 68.29/68.68 Deleted: 33
% 68.29/68.68 Deletedinuse: 15
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 50663
% 68.29/68.68 Kept: 16193
% 68.29/68.68 Inuse: 475
% 68.29/68.68 Deleted: 54
% 68.29/68.68 Deletedinuse: 35
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 65694
% 68.29/68.68 Kept: 18223
% 68.29/68.68 Inuse: 525
% 68.29/68.68 Deleted: 58
% 68.29/68.68 Deletedinuse: 38
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 87902
% 68.29/68.68 Kept: 21372
% 68.29/68.68 Inuse: 546
% 68.29/68.68 Deleted: 62
% 68.29/68.68 Deletedinuse: 42
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying clauses:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 93258
% 68.29/68.68 Kept: 23852
% 68.29/68.68 Inuse: 551
% 68.29/68.68 Deleted: 2515
% 68.29/68.68 Deletedinuse: 42
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 100965
% 68.29/68.68 Kept: 25905
% 68.29/68.68 Inuse: 587
% 68.29/68.68 Deleted: 2515
% 68.29/68.68 Deletedinuse: 42
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 110885
% 68.29/68.68 Kept: 27935
% 68.29/68.68 Inuse: 635
% 68.29/68.68 Deleted: 2515
% 68.29/68.68 Deletedinuse: 42
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 123858
% 68.29/68.68 Kept: 30251
% 68.29/68.68 Inuse: 671
% 68.29/68.68 Deleted: 2522
% 68.29/68.68 Deletedinuse: 42
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 138021
% 68.29/68.68 Kept: 32368
% 68.29/68.68 Inuse: 710
% 68.29/68.68 Deleted: 2645
% 68.29/68.68 Deletedinuse: 155
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 147956
% 68.29/68.68 Kept: 34382
% 68.29/68.68 Inuse: 755
% 68.29/68.68 Deleted: 2664
% 68.29/68.68 Deletedinuse: 172
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 155950
% 68.29/68.68 Kept: 36389
% 68.29/68.68 Inuse: 794
% 68.29/68.68 Deleted: 2679
% 68.29/68.68 Deletedinuse: 186
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 162656
% 68.29/68.68 Kept: 38423
% 68.29/68.68 Inuse: 827
% 68.29/68.68 Deleted: 2683
% 68.29/68.68 Deletedinuse: 190
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 171179
% 68.29/68.68 Kept: 40437
% 68.29/68.68 Inuse: 864
% 68.29/68.68 Deleted: 2826
% 68.29/68.68 Deletedinuse: 330
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying clauses:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 186366
% 68.29/68.68 Kept: 42450
% 68.29/68.68 Inuse: 890
% 68.29/68.68 Deleted: 19897
% 68.29/68.68 Deletedinuse: 330
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 199152
% 68.29/68.68 Kept: 44470
% 68.29/68.68 Inuse: 938
% 68.29/68.68 Deleted: 19898
% 68.29/68.68 Deletedinuse: 331
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 219618
% 68.29/68.68 Kept: 46506
% 68.29/68.68 Inuse: 994
% 68.29/68.68 Deleted: 19898
% 68.29/68.68 Deletedinuse: 331
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 230642
% 68.29/68.68 Kept: 48761
% 68.29/68.68 Inuse: 1022
% 68.29/68.68 Deleted: 19898
% 68.29/68.68 Deletedinuse: 331
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 238092
% 68.29/68.68 Kept: 50947
% 68.29/68.68 Inuse: 1047
% 68.29/68.68 Deleted: 19899
% 68.29/68.68 Deletedinuse: 332
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 245573
% 68.29/68.68 Kept: 52952
% 68.29/68.68 Inuse: 1071
% 68.29/68.68 Deleted: 19899
% 68.29/68.68 Deletedinuse: 332
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 257859
% 68.29/68.68 Kept: 54983
% 68.29/68.68 Inuse: 1102
% 68.29/68.68 Deleted: 19899
% 68.29/68.68 Deletedinuse: 332
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 267397
% 68.29/68.68 Kept: 57010
% 68.29/68.68 Inuse: 1135
% 68.29/68.68 Deleted: 19900
% 68.29/68.68 Deletedinuse: 332
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 277310
% 68.29/68.68 Kept: 59050
% 68.29/68.68 Inuse: 1175
% 68.29/68.68 Deleted: 19900
% 68.29/68.68 Deletedinuse: 332
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 287408
% 68.29/68.68 Kept: 61095
% 68.29/68.68 Inuse: 1215
% 68.29/68.68 Deleted: 19900
% 68.29/68.68 Deletedinuse: 332
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying clauses:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68 Resimplifying inuse:
% 68.29/68.68 Done
% 68.29/68.68
% 68.29/68.68
% 68.29/68.68 Intermediate Status:
% 68.29/68.68 Generated: 296804
% 68.29/68.68 Kept: 63138
% 68.29/68.68 Inuse: 1253
% 68.29/68.68 Deleted: 20742
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 306292
% 70.60/71.01 Kept: 65231
% 70.60/71.01 Inuse: 1281
% 70.60/71.01 Deleted: 20742
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 314204
% 70.60/71.01 Kept: 67255
% 70.60/71.01 Inuse: 1302
% 70.60/71.01 Deleted: 20742
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 320695
% 70.60/71.01 Kept: 69288
% 70.60/71.01 Inuse: 1321
% 70.60/71.01 Deleted: 20742
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 324754
% 70.60/71.01 Kept: 71552
% 70.60/71.01 Inuse: 1334
% 70.60/71.01 Deleted: 20742
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 329276
% 70.60/71.01 Kept: 73559
% 70.60/71.01 Inuse: 1348
% 70.60/71.01 Deleted: 20742
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 333635
% 70.60/71.01 Kept: 75586
% 70.60/71.01 Inuse: 1360
% 70.60/71.01 Deleted: 20742
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 340039
% 70.60/71.01 Kept: 77591
% 70.60/71.01 Inuse: 1385
% 70.60/71.01 Deleted: 20742
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 352221
% 70.60/71.01 Kept: 79742
% 70.60/71.01 Inuse: 1422
% 70.60/71.01 Deleted: 20742
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 361173
% 70.60/71.01 Kept: 81748
% 70.60/71.01 Inuse: 1455
% 70.60/71.01 Deleted: 20742
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying clauses:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 369919
% 70.60/71.01 Kept: 83825
% 70.60/71.01 Inuse: 1481
% 70.60/71.01 Deleted: 20985
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 378312
% 70.60/71.01 Kept: 85883
% 70.60/71.01 Inuse: 1504
% 70.60/71.01 Deleted: 20985
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 383625
% 70.60/71.01 Kept: 87886
% 70.60/71.01 Inuse: 1522
% 70.60/71.01 Deleted: 20985
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 388304
% 70.60/71.01 Kept: 89975
% 70.60/71.01 Inuse: 1534
% 70.60/71.01 Deleted: 20985
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 395509
% 70.60/71.01 Kept: 91993
% 70.60/71.01 Inuse: 1556
% 70.60/71.01 Deleted: 20985
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 402814
% 70.60/71.01 Kept: 94048
% 70.60/71.01 Inuse: 1584
% 70.60/71.01 Deleted: 20985
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 412773
% 70.60/71.01 Kept: 96323
% 70.60/71.01 Inuse: 1614
% 70.60/71.01 Deleted: 20985
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 420323
% 70.60/71.01 Kept: 98366
% 70.60/71.01 Inuse: 1637
% 70.60/71.01 Deleted: 20985
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 428192
% 70.60/71.01 Kept: 100414
% 70.60/71.01 Inuse: 1665
% 70.60/71.01 Deleted: 20985
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying clauses:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 437278
% 70.60/71.01 Kept: 102417
% 70.60/71.01 Inuse: 1704
% 70.60/71.01 Deleted: 21092
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 446466
% 70.60/71.01 Kept: 104442
% 70.60/71.01 Inuse: 1745
% 70.60/71.01 Deleted: 21094
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 460135
% 70.60/71.01 Kept: 106454
% 70.60/71.01 Inuse: 1780
% 70.60/71.01 Deleted: 21094
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 472347
% 70.60/71.01 Kept: 108465
% 70.60/71.01 Inuse: 1800
% 70.60/71.01 Deleted: 21094
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 491657
% 70.60/71.01 Kept: 113272
% 70.60/71.01 Inuse: 1812
% 70.60/71.01 Deleted: 21094
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Intermediate Status:
% 70.60/71.01 Generated: 498880
% 70.60/71.01 Kept: 115306
% 70.60/71.01 Inuse: 1831
% 70.60/71.01 Deleted: 21097
% 70.60/71.01 Deletedinuse: 333
% 70.60/71.01
% 70.60/71.01 Resimplifying inuse:
% 70.60/71.01 Done
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 Bliksems!, er is een bewijs:
% 70.60/71.01 % SZS status Unsatisfiable
% 70.60/71.01 % SZS output start Refutation
% 70.60/71.01
% 70.60/71.01 clause( 0, [ product( identity, X, X ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 1, [ product( X, identity, X ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 70.60/71.01 )
% 70.60/71.01 .
% 70.60/71.01 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 70.60/71.01 Z, T, W ) ), product( X, U, W ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 70.60/71.01 X, U, W ) ), product( Z, T, W ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 8, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X ) )
% 70.60/71.01 ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 9, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 70.60/71.01 product( X, Y, Z ) ), 'subgroup_member'( Z ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 10, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 70.60/71.01 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 11, [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'(
% 70.60/71.01 Y ), 'subgroup_member'( X ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 12, [ 'subgroup_member'( b ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 13, [ product( b, inverse( a ), c ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 14, [ product( a, c, d ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 15, [ ~( 'subgroup_member'( d ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 25, [ 'subgroup_member'( inverse( inverse( X ) ) ), ~(
% 70.60/71.01 'subgroup_member'( X ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 26, [ 'subgroup_member'( inverse( b ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 39, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 40, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 104, [ ~( product( inverse( X ), Y, Z ) ), ~( product( identity, Y
% 70.60/71.01 , T ) ), product( X, Z, T ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 107, [ ~( product( X, Y, Z ) ), ~( product( identity, Y, T ) ),
% 70.60/71.01 product( inverse( X ), Z, T ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 115, [ ~( product( X, Y, identity ) ), ~( product( Y, Z, T ) ),
% 70.60/71.01 product( X, T, Z ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 153, [ 'subgroup_member'( Y ), ~( 'subgroup_member'( X ) ), ~(
% 70.60/71.01 product( identity, Y, inverse( inverse( X ) ) ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 193, [ product( b, X, c ), ~( product( identity, inverse( a ), X )
% 70.60/71.01 ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 199, [ product( X, Y, identity ), ~( product( identity, inverse( X
% 70.60/71.01 ), Y ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 205, [ product( inverse( Y ), Y, X ), ~( product( identity,
% 70.60/71.01 identity, X ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 267, [ ~( product( X, a, Y ) ), ~( product( X, d, Z ) ), product( Y
% 70.60/71.01 , c, Z ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 375, [ ~( 'subgroup_member'( inverse( a ) ) ), 'subgroup_member'( c
% 70.60/71.01 ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 377, [ ~( 'subgroup_member'( a ) ), ~( 'subgroup_member'( c ) ) ]
% 70.60/71.01 )
% 70.60/71.01 .
% 70.60/71.01 clause( 540, [ ~( 'subgroup_member'( a ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 587, [ product( X, 'element_in_O2'( X, d ), d ), 'subgroup_member'(
% 70.60/71.01 X ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 609, [ 'subgroup_member'( 'element_in_O2'( a, X ) ),
% 70.60/71.01 'subgroup_member'( X ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 2541, [ ~( 'subgroup_member'( X ) ), ~( product( a, identity, X ) )
% 70.60/71.01 ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 2722, [ ~( product( a, identity, inverse( X ) ) ), ~(
% 70.60/71.01 'subgroup_member'( X ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 4194, [ 'subgroup_member'( 'element_in_O2'( a, d ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 37113, [ ~( product( identity, inverse( a ), X ) ), ~( product(
% 70.60/71.01 identity, X, Y ) ), product( inverse( b ), c, Y ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 37159, [ product( inverse( b ), c, inverse( a ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 37438, [ ~( 'subgroup_member'( c ) ), 'subgroup_member'( inverse( a
% 70.60/71.01 ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 39340, [ ~( product( identity, inverse( inverse( X ) ), Y ) ), ~(
% 70.60/71.01 product( identity, Y, Z ) ), product( X, identity, Z ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 39366, [ product( X, identity, inverse( inverse( X ) ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 39678, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 39693, [ =( inverse( inverse( X ) ), X ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 39712, [ ~( 'subgroup_member'( c ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 39765, [ ~( 'subgroup_member'( X ) ), ~( product( identity, c, X )
% 70.60/71.01 ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 43018, [ ~( product( identity, c, 'element_in_O2'( a, d ) ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 53272, [ ~( product( X, a, identity ) ), ~( product( X, d,
% 70.60/71.01 'element_in_O2'( a, d ) ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 114653, [ product( a, 'element_in_O2'( a, d ), d ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 116121, [ ~( product( X, a, identity ) ) ] )
% 70.60/71.01 .
% 70.60/71.01 clause( 116191, [] )
% 70.60/71.01 .
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 % SZS output end Refutation
% 70.60/71.01 found a proof!
% 70.60/71.01
% 70.60/71.01 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 70.60/71.01
% 70.60/71.01 initialclauses(
% 70.60/71.01 [ clause( 116193, [ product( identity, X, X ) ] )
% 70.60/71.01 , clause( 116194, [ product( X, identity, X ) ] )
% 70.60/71.01 , clause( 116195, [ product( inverse( X ), X, identity ) ] )
% 70.60/71.01 , clause( 116196, [ product( X, inverse( X ), identity ) ] )
% 70.60/71.01 , clause( 116197, [ product( X, Y, multiply( X, Y ) ) ] )
% 70.60/71.01 , clause( 116198, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z
% 70.60/71.01 , T ) ] )
% 70.60/71.01 , clause( 116199, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 70.60/71.01 product( Z, T, W ) ), product( X, U, W ) ] )
% 70.60/71.01 , clause( 116200, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 70.60/71.01 product( X, U, W ) ), product( Z, T, W ) ] )
% 70.60/71.01 , clause( 116201, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 70.60/71.01 X ) ) ] )
% 70.60/71.01 , clause( 116202, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y )
% 70.60/71.01 ), ~( product( X, Y, Z ) ), 'subgroup_member'( Z ) ] )
% 70.60/71.01 , clause( 116203, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 70.60/71.01 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 70.60/71.01 , clause( 116204, [ product( X, 'element_in_O2'( X, Y ), Y ),
% 70.60/71.01 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 70.60/71.01 , clause( 116205, [ 'subgroup_member'( b ) ] )
% 70.60/71.01 , clause( 116206, [ product( b, inverse( a ), c ) ] )
% 70.60/71.01 , clause( 116207, [ product( a, c, d ) ] )
% 70.60/71.01 , clause( 116208, [ ~( 'subgroup_member'( d ) ) ] )
% 70.60/71.01 ] ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 0, [ product( identity, X, X ) ] )
% 70.60/71.01 , clause( 116193, [ product( identity, X, X ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 1, [ product( X, identity, X ) ] )
% 70.60/71.01 , clause( 116194, [ product( X, identity, X ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 70.60/71.01 , clause( 116195, [ product( inverse( X ), X, identity ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 70.60/71.01 , clause( 116196, [ product( X, inverse( X ), identity ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 70.60/71.01 )
% 70.60/71.01 , clause( 116198, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z
% 70.60/71.01 , T ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 70.60/71.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 70.60/71.01 Z, T, W ) ), product( X, U, W ) ] )
% 70.60/71.01 , clause( 116199, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 70.60/71.01 product( Z, T, W ) ), product( X, U, W ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 70.60/71.01 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 70.60/71.01 , 2 ), ==>( 3, 3 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 70.60/71.01 X, U, W ) ), product( Z, T, W ) ] )
% 70.60/71.01 , clause( 116200, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 70.60/71.01 product( X, U, W ) ), product( Z, T, W ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 70.60/71.01 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 70.60/71.01 , 2 ), ==>( 3, 3 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 8, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X ) )
% 70.60/71.01 ] )
% 70.60/71.01 , clause( 116201, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 70.60/71.01 X ) ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 70.60/71.01 1 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 9, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 70.60/71.01 product( X, Y, Z ) ), 'subgroup_member'( Z ) ] )
% 70.60/71.01 , clause( 116202, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y )
% 70.60/71.01 ), ~( product( X, Y, Z ) ), 'subgroup_member'( Z ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.60/71.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 70.60/71.01 ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 10, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 70.60/71.01 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 70.60/71.01 , clause( 116203, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 70.60/71.01 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.60/71.01 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 11, [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'(
% 70.60/71.01 Y ), 'subgroup_member'( X ) ] )
% 70.60/71.01 , clause( 116204, [ product( X, 'element_in_O2'( X, Y ), Y ),
% 70.60/71.01 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.60/71.01 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 12, [ 'subgroup_member'( b ) ] )
% 70.60/71.01 , clause( 116205, [ 'subgroup_member'( b ) ] )
% 70.60/71.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 13, [ product( b, inverse( a ), c ) ] )
% 70.60/71.01 , clause( 116206, [ product( b, inverse( a ), c ) ] )
% 70.60/71.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 14, [ product( a, c, d ) ] )
% 70.60/71.01 , clause( 116207, [ product( a, c, d ) ] )
% 70.60/71.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 15, [ ~( 'subgroup_member'( d ) ) ] )
% 70.60/71.01 , clause( 116208, [ ~( 'subgroup_member'( d ) ) ] )
% 70.60/71.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 resolution(
% 70.60/71.01 clause( 116314, [ 'subgroup_member'( inverse( inverse( X ) ) ), ~(
% 70.60/71.01 'subgroup_member'( X ) ) ] )
% 70.60/71.01 , clause( 8, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X )
% 70.60/71.01 ) ] )
% 70.60/71.01 , 0, clause( 8, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 70.60/71.01 X ) ) ] )
% 70.60/71.01 , 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ :=( X
% 70.60/71.01 , X )] )).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 25, [ 'subgroup_member'( inverse( inverse( X ) ) ), ~(
% 70.60/71.01 'subgroup_member'( X ) ) ] )
% 70.60/71.01 , clause( 116314, [ 'subgroup_member'( inverse( inverse( X ) ) ), ~(
% 70.60/71.01 'subgroup_member'( X ) ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 70.60/71.01 1 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 resolution(
% 70.60/71.01 clause( 116315, [ 'subgroup_member'( inverse( b ) ) ] )
% 70.60/71.01 , clause( 8, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X )
% 70.60/71.01 ) ] )
% 70.60/71.01 , 0, clause( 12, [ 'subgroup_member'( b ) ] )
% 70.60/71.01 , 0, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 26, [ 'subgroup_member'( inverse( b ) ) ] )
% 70.60/71.01 , clause( 116315, [ 'subgroup_member'( inverse( b ) ) ] )
% 70.60/71.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 resolution(
% 70.60/71.01 clause( 116316, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 70.60/71.01 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 70.60/71.01 ] )
% 70.60/71.01 , 0, clause( 0, [ product( identity, X, X ) ] )
% 70.60/71.01 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 70.60/71.01 )] ), substitution( 1, [ :=( X, X )] )).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 39, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 70.60/71.01 , clause( 116316, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.60/71.01 ), ==>( 1, 1 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 resolution(
% 70.60/71.01 clause( 116318, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 70.60/71.01 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 70.60/71.01 ] )
% 70.60/71.01 , 0, clause( 1, [ product( X, identity, X ) ] )
% 70.60/71.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, X ), :=( T, Y
% 70.60/71.01 )] ), substitution( 1, [ :=( X, X )] )).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumption(
% 70.60/71.01 clause( 40, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 70.60/71.01 , clause( 116318, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 70.60/71.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.60/71.01 ), ==>( 1, 1 )] ) ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 resolution(
% 70.60/71.01 clause( 116320, [ ~( product( inverse( X ), Y, Z ) ), ~( product( identity
% 70.60/71.01 , Y, T ) ), product( X, Z, T ) ] )
% 70.60/71.01 , clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 70.60/71.01 Z, T, W ) ), product( X, U, W ) ] )
% 70.60/71.01 , 0, clause( 3, [ product( X, inverse( X ), identity ) ] )
% 70.60/71.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z, identity
% 70.60/71.01 ), :=( T, Y ), :=( U, Z ), :=( W, T )] ), substitution( 1, [ :=( X, X )] )
% 70.60/71.01 ).
% 70.60/71.01
% 70.60/71.01
% 70.60/71.01 subsumptionCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------