TSTP Solution File: GRP026-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP026-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 07:34:23 EDT 2022
% Result : Unsatisfiable 156.98s 157.43s
% Output : Refutation 156.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP026-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jun 13 18:01:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 34.71/35.08 *** allocated 10000 integers for termspace/termends
% 34.71/35.08 *** allocated 10000 integers for clauses
% 34.71/35.08 *** allocated 10000 integers for justifications
% 34.71/35.08 Bliksem 1.12
% 34.71/35.08
% 34.71/35.08
% 34.71/35.08 Automatic Strategy Selection
% 34.71/35.08
% 34.71/35.08 Clauses:
% 34.71/35.08 [
% 34.71/35.08 [ 'group_member'( 'identity_for'( X ), X ) ],
% 34.71/35.08 [ product( X, 'identity_for'( X ), Y, Y ) ],
% 34.71/35.08 [ product( X, Y, 'identity_for'( X ), Y ) ],
% 34.71/35.08 [ ~( 'group_member'( X, Y ) ), 'group_member'( inverse( Y, X ), Y ) ]
% 34.71/35.08 ,
% 34.71/35.08 [ product( X, inverse( X, Y ), Y, 'identity_for'( X ) ) ],
% 34.71/35.08 [ product( X, Y, inverse( X, Y ), 'identity_for'( X ) ) ],
% 34.71/35.08 [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ), product( Y,
% 34.71/35.08 X, Z, multiply( Y, X, Z ) ) ],
% 34.71/35.08 [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 34.71/35.08 'group_member'( multiply( Y, X, Z ), Y ) ],
% 34.71/35.08 [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U, T ) ]
% 34.71/35.08 ,
% 34.71/35.08 [ ~( product( X, Y, Z, T ) ), ~( product( X, Z, U, W ) ), ~( product( X
% 34.71/35.08 , T, U, V0 ) ), product( X, Y, W, V0 ) ],
% 34.71/35.08 [ ~( product( X, Y, Z, T ) ), ~( product( X, Z, U, W ) ), ~( product( X
% 34.71/35.08 , Y, W, V0 ) ), product( X, T, U, V0 ) ],
% 34.71/35.08 [ 'group_member'( a, g1 ) ],
% 34.71/35.08 [ 'group_member'( b, g1 ) ],
% 34.71/35.08 [ 'group_member'( c, g1 ) ],
% 34.71/35.08 [ 'group_member'( f, g2 ) ],
% 34.71/35.08 [ 'group_member'( g, g2 ) ],
% 34.71/35.08 [ 'group_member'( h, g2 ) ],
% 34.71/35.08 [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c ) ],
% 34.71/35.08 [ ~( 'group_member'( X, g2 ) ), =( X, f ), =( X, g ), =( X, h ) ],
% 34.71/35.08 [ product( g1, a, a, a ) ],
% 34.71/35.08 [ product( g1, a, b, b ) ],
% 34.71/35.08 [ product( g1, b, a, b ) ],
% 34.71/35.08 [ product( g1, a, c, c ) ],
% 34.71/35.08 [ product( g1, c, a, c ) ],
% 34.71/35.08 [ product( g1, b, b, c ) ],
% 34.71/35.08 [ product( g1, b, c, a ) ],
% 34.71/35.08 [ product( g1, c, b, a ) ],
% 34.71/35.08 [ product( g1, c, c, b ) ],
% 34.71/35.08 [ product( g2, f, f, f ) ],
% 34.71/35.08 [ product( g2, f, g, g ) ],
% 34.71/35.08 [ product( g2, g, f, g ) ],
% 34.71/35.08 [ product( g2, f, h, h ) ],
% 34.71/35.08 [ product( g2, h, f, h ) ],
% 34.71/35.08 [ product( g2, g, g, h ) ],
% 34.71/35.08 [ product( g2, g, h, f ) ],
% 34.71/35.08 [ product( g2, h, g, f ) ],
% 34.71/35.08 [ product( g2, h, h, g ) ],
% 34.71/35.08 [ =( 'an_isomorphism'( a ), f ) ],
% 34.71/35.08 [ =( 'an_isomorphism'( b ), g ) ],
% 34.71/35.08 [ =( 'an_isomorphism'( c ), h ) ],
% 34.71/35.08 [ 'group_member'( d1, g1 ) ],
% 34.71/35.08 [ 'group_member'( d2, g1 ) ],
% 34.71/35.08 [ 'group_member'( d3, g1 ) ],
% 34.71/35.08 [ product( g1, d1, d2, d3 ) ],
% 34.71/35.08 [ ~( product( g2, 'an_isomorphism'( d1 ), 'an_isomorphism'( d2 ),
% 34.71/35.08 'an_isomorphism'( d3 ) ) ) ]
% 34.71/35.08 ] .
% 34.71/35.08
% 34.71/35.08
% 34.71/35.08 percentage equality = 0.156250, percentage horn = 0.955556
% 34.71/35.08 This is a problem with some equality
% 34.71/35.08
% 34.71/35.08
% 34.71/35.08
% 34.71/35.08 Options Used:
% 34.71/35.08
% 34.71/35.08 useres = 1
% 34.71/35.08 useparamod = 1
% 34.71/35.08 useeqrefl = 1
% 34.71/35.08 useeqfact = 1
% 34.71/35.08 usefactor = 1
% 34.71/35.08 usesimpsplitting = 0
% 34.71/35.08 usesimpdemod = 5
% 34.71/35.08 usesimpres = 3
% 34.71/35.08
% 34.71/35.08 resimpinuse = 1000
% 34.71/35.08 resimpclauses = 20000
% 34.71/35.08 substype = eqrewr
% 34.71/35.08 backwardsubs = 1
% 34.71/35.08 selectoldest = 5
% 34.71/35.08
% 34.71/35.08 litorderings [0] = split
% 34.71/35.08 litorderings [1] = extend the termordering, first sorting on arguments
% 34.71/35.08
% 34.71/35.08 termordering = kbo
% 34.71/35.08
% 34.71/35.08 litapriori = 0
% 34.71/35.08 termapriori = 1
% 34.71/35.08 litaposteriori = 0
% 34.71/35.08 termaposteriori = 0
% 34.71/35.08 demodaposteriori = 0
% 34.71/35.08 ordereqreflfact = 0
% 34.71/35.08
% 34.71/35.08 litselect = negord
% 34.71/35.08
% 34.71/35.08 maxweight = 15
% 34.71/35.08 maxdepth = 30000
% 34.71/35.08 maxlength = 115
% 34.71/35.08 maxnrvars = 195
% 34.71/35.08 excuselevel = 1
% 34.71/35.08 increasemaxweight = 1
% 34.71/35.08
% 34.71/35.08 maxselected = 10000000
% 34.71/35.08 maxnrclauses = 10000000
% 34.71/35.08
% 34.71/35.08 showgenerated = 0
% 34.71/35.08 showkept = 0
% 34.71/35.08 showselected = 0
% 34.71/35.08 showdeleted = 0
% 34.71/35.08 showresimp = 1
% 34.71/35.08 showstatus = 2000
% 34.71/35.08
% 34.71/35.08 prologoutput = 1
% 34.71/35.08 nrgoals = 5000000
% 34.71/35.08 totalproof = 1
% 34.71/35.08
% 34.71/35.08 Symbols occurring in the translation:
% 34.71/35.08
% 34.71/35.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 34.71/35.08 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 34.71/35.08 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 34.71/35.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 34.71/35.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 34.71/35.08 'identity_for' [40, 1] (w:1, o:33, a:1, s:1, b:0),
% 34.71/35.08 'group_member' [41, 2] (w:1, o:60, a:1, s:1, b:0),
% 34.71/35.08 product [43, 4] (w:1, o:63, a:1, s:1, b:0),
% 34.71/35.08 inverse [44, 2] (w:1, o:61, a:1, s:1, b:0),
% 34.71/35.08 multiply [46, 3] (w:1, o:62, a:1, s:1, b:0),
% 34.71/35.08 a [52, 0] (w:1, o:17, a:1, s:1, b:0),
% 34.71/35.08 g1 [53, 0] (w:1, o:19, a:1, s:1, b:0),
% 34.71/35.08 b [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 34.71/35.08 c [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 93.78/94.25 f [56, 0] (w:1, o:18, a:1, s:1, b:0),
% 93.78/94.25 g2 [57, 0] (w:1, o:22, a:1, s:1, b:0),
% 93.78/94.25 g [58, 0] (w:1, o:23, a:1, s:1, b:0),
% 93.78/94.25 h [59, 0] (w:1, o:24, a:1, s:1, b:0),
% 93.78/94.25 'an_isomorphism' [60, 1] (w:1, o:34, a:1, s:1, b:0),
% 93.78/94.25 d1 [61, 0] (w:1, o:25, a:1, s:1, b:0),
% 93.78/94.25 d2 [62, 0] (w:1, o:26, a:1, s:1, b:0),
% 93.78/94.25 d3 [63, 0] (w:1, o:27, a:1, s:1, b:0).
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Starting Search:
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 6609
% 93.78/94.25 Kept: 2005
% 93.78/94.25 Inuse: 70
% 93.78/94.25 Deleted: 0
% 93.78/94.25 Deletedinuse: 0
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 11938
% 93.78/94.25 Kept: 4070
% 93.78/94.25 Inuse: 102
% 93.78/94.25 Deleted: 0
% 93.78/94.25 Deletedinuse: 0
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 16129
% 93.78/94.25 Kept: 6092
% 93.78/94.25 Inuse: 118
% 93.78/94.25 Deleted: 4
% 93.78/94.25 Deletedinuse: 3
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 22177
% 93.78/94.25 Kept: 8212
% 93.78/94.25 Inuse: 137
% 93.78/94.25 Deleted: 8
% 93.78/94.25 Deletedinuse: 4
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 30003
% 93.78/94.25 Kept: 10225
% 93.78/94.25 Inuse: 171
% 93.78/94.25 Deleted: 18
% 93.78/94.25 Deletedinuse: 5
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 39605
% 93.78/94.25 Kept: 12277
% 93.78/94.25 Inuse: 197
% 93.78/94.25 Deleted: 24
% 93.78/94.25 Deletedinuse: 5
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 46668
% 93.78/94.25 Kept: 14285
% 93.78/94.25 Inuse: 224
% 93.78/94.25 Deleted: 34
% 93.78/94.25 Deletedinuse: 8
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 55514
% 93.78/94.25 Kept: 16294
% 93.78/94.25 Inuse: 259
% 93.78/94.25 Deleted: 39
% 93.78/94.25 Deletedinuse: 8
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 65388
% 93.78/94.25 Kept: 18327
% 93.78/94.25 Inuse: 296
% 93.78/94.25 Deleted: 45
% 93.78/94.25 Deletedinuse: 9
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying clauses:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 77239
% 93.78/94.25 Kept: 20337
% 93.78/94.25 Inuse: 332
% 93.78/94.25 Deleted: 2089
% 93.78/94.25 Deletedinuse: 10
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 85608
% 93.78/94.25 Kept: 22402
% 93.78/94.25 Inuse: 374
% 93.78/94.25 Deleted: 2135
% 93.78/94.25 Deletedinuse: 49
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 94484
% 93.78/94.25 Kept: 24428
% 93.78/94.25 Inuse: 410
% 93.78/94.25 Deleted: 2148
% 93.78/94.25 Deletedinuse: 49
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 99730
% 93.78/94.25 Kept: 26441
% 93.78/94.25 Inuse: 433
% 93.78/94.25 Deleted: 2148
% 93.78/94.25 Deletedinuse: 49
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 106751
% 93.78/94.25 Kept: 28441
% 93.78/94.25 Inuse: 462
% 93.78/94.25 Deleted: 2155
% 93.78/94.25 Deletedinuse: 49
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 113933
% 93.78/94.25 Kept: 30547
% 93.78/94.25 Inuse: 489
% 93.78/94.25 Deleted: 2155
% 93.78/94.25 Deletedinuse: 49
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 122781
% 93.78/94.25 Kept: 32549
% 93.78/94.25 Inuse: 519
% 93.78/94.25 Deleted: 2155
% 93.78/94.25 Deletedinuse: 49
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 134861
% 93.78/94.25 Kept: 34563
% 93.78/94.25 Inuse: 556
% 93.78/94.25 Deleted: 2170
% 93.78/94.25 Deletedinuse: 49
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 146390
% 93.78/94.25 Kept: 36598
% 93.78/94.25 Inuse: 599
% 93.78/94.25 Deleted: 2174
% 93.78/94.25 Deletedinuse: 49
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 161815
% 93.78/94.25 Kept: 38618
% 93.78/94.25 Inuse: 624
% 93.78/94.25 Deleted: 2183
% 93.78/94.25 Deletedinuse: 57
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 168853
% 93.78/94.25 Kept: 42755
% 93.78/94.25 Inuse: 629
% 93.78/94.25 Deleted: 2184
% 93.78/94.25 Deletedinuse: 58
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying clauses:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 175981
% 93.78/94.25 Kept: 46884
% 93.78/94.25 Inuse: 634
% 93.78/94.25 Deleted: 4905
% 93.78/94.25 Deletedinuse: 67
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25 Resimplifying inuse:
% 93.78/94.25 Done
% 93.78/94.25
% 93.78/94.25
% 93.78/94.25 Intermediate Status:
% 93.78/94.25 Generated: 184723
% 93.78/94.25 Kept: 48901
% 93.78/94.25 Inuse: 675
% 93.78/94.25 Deleted: 4921
% 156.98/157.43 Deletedinuse: 82
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 193166
% 156.98/157.43 Kept: 50911
% 156.98/157.43 Inuse: 707
% 156.98/157.43 Deleted: 4922
% 156.98/157.43 Deletedinuse: 82
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 201571
% 156.98/157.43 Kept: 52915
% 156.98/157.43 Inuse: 742
% 156.98/157.43 Deleted: 4927
% 156.98/157.43 Deletedinuse: 82
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 214250
% 156.98/157.43 Kept: 54943
% 156.98/157.43 Inuse: 783
% 156.98/157.43 Deleted: 4930
% 156.98/157.43 Deletedinuse: 82
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 225061
% 156.98/157.43 Kept: 56998
% 156.98/157.43 Inuse: 819
% 156.98/157.43 Deleted: 4931
% 156.98/157.43 Deletedinuse: 82
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 233312
% 156.98/157.43 Kept: 59050
% 156.98/157.43 Inuse: 844
% 156.98/157.43 Deleted: 4931
% 156.98/157.43 Deletedinuse: 82
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 242385
% 156.98/157.43 Kept: 61143
% 156.98/157.43 Inuse: 870
% 156.98/157.43 Deleted: 4931
% 156.98/157.43 Deletedinuse: 82
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying clauses:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 252293
% 156.98/157.43 Kept: 63300
% 156.98/157.43 Inuse: 894
% 156.98/157.43 Deleted: 7516
% 156.98/157.43 Deletedinuse: 82
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 256375
% 156.98/157.43 Kept: 65300
% 156.98/157.43 Inuse: 920
% 156.98/157.43 Deleted: 7669
% 156.98/157.43 Deletedinuse: 228
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 264212
% 156.98/157.43 Kept: 69553
% 156.98/157.43 Inuse: 926
% 156.98/157.43 Deleted: 7671
% 156.98/157.43 Deletedinuse: 228
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 270965
% 156.98/157.43 Kept: 73331
% 156.98/157.43 Inuse: 927
% 156.98/157.43 Deleted: 7713
% 156.98/157.43 Deletedinuse: 270
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 277428
% 156.98/157.43 Kept: 76828
% 156.98/157.43 Inuse: 928
% 156.98/157.43 Deleted: 7737
% 156.98/157.43 Deletedinuse: 294
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 283260
% 156.98/157.43 Kept: 79927
% 156.98/157.43 Inuse: 929
% 156.98/157.43 Deleted: 7792
% 156.98/157.43 Deletedinuse: 348
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 290718
% 156.98/157.43 Kept: 81929
% 156.98/157.43 Inuse: 958
% 156.98/157.43 Deleted: 7831
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying clauses:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 300826
% 156.98/157.43 Kept: 83940
% 156.98/157.43 Inuse: 979
% 156.98/157.43 Deleted: 35192
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 309859
% 156.98/157.43 Kept: 85988
% 156.98/157.43 Inuse: 1012
% 156.98/157.43 Deleted: 35192
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 318637
% 156.98/157.43 Kept: 88002
% 156.98/157.43 Inuse: 1045
% 156.98/157.43 Deleted: 35192
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 326997
% 156.98/157.43 Kept: 90029
% 156.98/157.43 Inuse: 1078
% 156.98/157.43 Deleted: 35192
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 335374
% 156.98/157.43 Kept: 92039
% 156.98/157.43 Inuse: 1111
% 156.98/157.43 Deleted: 35192
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 344915
% 156.98/157.43 Kept: 94090
% 156.98/157.43 Inuse: 1147
% 156.98/157.43 Deleted: 35192
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 357860
% 156.98/157.43 Kept: 96118
% 156.98/157.43 Inuse: 1176
% 156.98/157.43 Deleted: 35192
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 366635
% 156.98/157.43 Kept: 98198
% 156.98/157.43 Inuse: 1201
% 156.98/157.43 Deleted: 35196
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 379780
% 156.98/157.43 Kept: 100309
% 156.98/157.43 Inuse: 1231
% 156.98/157.43 Deleted: 35196
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 389201
% 156.98/157.43 Kept: 102331
% 156.98/157.43 Inuse: 1264
% 156.98/157.43 Deleted: 35196
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying clauses:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 419219
% 156.98/157.43 Kept: 105656
% 156.98/157.43 Inuse: 1291
% 156.98/157.43 Deleted: 41282
% 156.98/157.43 Deletedinuse: 384
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 428772
% 156.98/157.43 Kept: 109159
% 156.98/157.43 Inuse: 1293
% 156.98/157.43 Deleted: 41318
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 436372
% 156.98/157.43 Kept: 111255
% 156.98/157.43 Inuse: 1314
% 156.98/157.43 Deleted: 41318
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 444816
% 156.98/157.43 Kept: 113285
% 156.98/157.43 Inuse: 1337
% 156.98/157.43 Deleted: 41318
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 453532
% 156.98/157.43 Kept: 115308
% 156.98/157.43 Inuse: 1357
% 156.98/157.43 Deleted: 41318
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 464595
% 156.98/157.43 Kept: 117308
% 156.98/157.43 Inuse: 1385
% 156.98/157.43 Deleted: 41318
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 475986
% 156.98/157.43 Kept: 119344
% 156.98/157.43 Inuse: 1411
% 156.98/157.43 Deleted: 41318
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 487744
% 156.98/157.43 Kept: 121393
% 156.98/157.43 Inuse: 1443
% 156.98/157.43 Deleted: 41318
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 498230
% 156.98/157.43 Kept: 123417
% 156.98/157.43 Inuse: 1469
% 156.98/157.43 Deleted: 41318
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying clauses:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 509114
% 156.98/157.43 Kept: 125536
% 156.98/157.43 Inuse: 1489
% 156.98/157.43 Deleted: 44789
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 516567
% 156.98/157.43 Kept: 127574
% 156.98/157.43 Inuse: 1512
% 156.98/157.43 Deleted: 44789
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 525094
% 156.98/157.43 Kept: 129646
% 156.98/157.43 Inuse: 1535
% 156.98/157.43 Deleted: 44789
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 534110
% 156.98/157.43 Kept: 131708
% 156.98/157.43 Inuse: 1559
% 156.98/157.43 Deleted: 44789
% 156.98/157.43 Deletedinuse: 420
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 549088
% 156.98/157.43 Kept: 133786
% 156.98/157.43 Inuse: 1586
% 156.98/157.43 Deleted: 44793
% 156.98/157.43 Deletedinuse: 424
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 565424
% 156.98/157.43 Kept: 135807
% 156.98/157.43 Inuse: 1613
% 156.98/157.43 Deleted: 44797
% 156.98/157.43 Deletedinuse: 428
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 581337
% 156.98/157.43 Kept: 137915
% 156.98/157.43 Inuse: 1637
% 156.98/157.43 Deleted: 44803
% 156.98/157.43 Deletedinuse: 434
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 592892
% 156.98/157.43 Kept: 139921
% 156.98/157.43 Inuse: 1658
% 156.98/157.43 Deleted: 44805
% 156.98/157.43 Deletedinuse: 436
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Intermediate Status:
% 156.98/157.43 Generated: 606776
% 156.98/157.43 Kept: 141977
% 156.98/157.43 Inuse: 1679
% 156.98/157.43 Deleted: 44806
% 156.98/157.43 Deletedinuse: 437
% 156.98/157.43
% 156.98/157.43 Resimplifying inuse:
% 156.98/157.43 Done
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 Bliksems!, er is een bewijs:
% 156.98/157.43 % SZS status Unsatisfiable
% 156.98/157.43 % SZS output start Refutation
% 156.98/157.43
% 156.98/157.43 clause( 0, [ 'group_member'( 'identity_for'( X ), X ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1, [ product( X, 'identity_for'( X ), Y, Y ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 2, [ product( X, Y, 'identity_for'( X ), Y ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U,
% 156.98/157.43 T ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 9, [ ~( product( X, Y, Z, T ) ), ~( product( X, Z, U, W ) ), ~(
% 156.98/157.43 product( X, T, U, V0 ) ), product( X, Y, W, V0 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 11, [ 'group_member'( a, g1 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 12, [ 'group_member'( b, g1 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 13, [ 'group_member'( c, g1 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 14, [ 'group_member'( f, g2 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 15, [ 'group_member'( g, g2 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 16, [ 'group_member'( h, g2 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 17, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c )
% 156.98/157.43 ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 18, [ ~( 'group_member'( X, g2 ) ), =( X, f ), =( X, g ), =( X, h )
% 156.98/157.43 ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 19, [ product( g1, a, a, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 23, [ product( g1, c, a, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 24, [ product( g1, b, b, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 25, [ product( g1, b, c, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 26, [ product( g1, c, b, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 27, [ product( g1, c, c, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 28, [ product( g2, f, f, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 30, [ product( g2, g, f, g ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 32, [ product( g2, h, f, h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 33, [ product( g2, g, g, h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 34, [ product( g2, g, h, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 35, [ product( g2, h, g, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 36, [ product( g2, h, h, g ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 37, [ =( 'an_isomorphism'( a ), f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 38, [ =( 'an_isomorphism'( b ), g ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 39, [ =( 'an_isomorphism'( c ), h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 40, [ 'group_member'( d1, g1 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 41, [ 'group_member'( d2, g1 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 42, [ 'group_member'( d3, g1 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 43, [ product( g1, d1, d2, d3 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 44, [ ~( product( g2, 'an_isomorphism'( d1 ), 'an_isomorphism'( d2
% 156.98/157.43 ), 'an_isomorphism'( d3 ) ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 45, [ ~( 'group_member'( X, Y ) ), product( Y, X, X, multiply( Y, X
% 156.98/157.43 , X ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 48, [ ~( product( X, Y, Z, Y ) ), ~( product( X, Z, Z, T ) ),
% 156.98/157.43 product( X, Y, T, Y ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 57, [ ~( =( c, a ) ), ~( 'group_member'( X, g1 ) ), =( X, a ), =( X
% 156.98/157.43 , b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 58, [ ~( =( c, b ) ), ~( 'group_member'( X, g1 ) ), =( X, a ), =( X
% 156.98/157.43 , b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 72, [ ~( =( h, f ) ), ~( 'group_member'( X, g2 ) ), =( X, f ), =( X
% 156.98/157.43 , g ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 73, [ ~( =( h, g ) ), ~( 'group_member'( X, g2 ) ), =( X, f ), =( X
% 156.98/157.43 , g ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 97, [ ~( 'group_member'( X, g1 ) ), product( g1, X, a, multiply( g1
% 156.98/157.43 , X, a ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 99, [ ~( 'group_member'( X, g1 ) ), product( g1, X, b, multiply( g1
% 156.98/157.43 , X, b ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 101, [ ~( 'group_member'( X, g1 ) ), product( g1, X, c, multiply(
% 156.98/157.43 g1, X, c ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 103, [ ~( 'group_member'( X, g2 ) ), product( g2, X, f, multiply(
% 156.98/157.43 g2, X, f ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 107, [ ~( 'group_member'( X, g2 ) ), product( g2, X, g, multiply(
% 156.98/157.43 g2, X, g ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 109, [ ~( 'group_member'( X, g2 ) ), product( g2, X, h, multiply(
% 156.98/157.43 g2, X, h ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 110, [ ~( 'group_member'( X, g1 ) ), product( g1, d1, X, multiply(
% 156.98/157.43 g1, d1, X ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 113, [ ~( 'group_member'( X, g1 ) ), product( g1, X, d2, multiply(
% 156.98/157.43 g1, X, d2 ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 186, [ ~( product( g1, a, a, X ) ), =( X, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 191, [ ~( product( g1, c, a, X ) ), =( X, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 192, [ ~( product( g1, b, b, X ) ), =( X, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 194, [ ~( product( g1, b, c, X ) ), =( X, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 195, [ ~( product( g1, c, b, X ) ), =( X, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 196, [ ~( product( g1, c, c, X ) ), =( X, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 202, [ ~( product( g2, h, f, X ) ), =( X, h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 203, [ ~( product( g2, g, g, X ) ), =( X, h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 204, [ ~( product( g2, g, h, X ) ), =( X, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 205, [ ~( product( g2, h, g, X ) ), =( X, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 207, [ ~( product( X, Y, 'identity_for'( X ), Z ) ), =( Z, Y ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 208, [ ~( product( g1, d1, d2, X ) ), =( X, d3 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 209, [ ~( product( X, 'identity_for'( X ), Y, Z ) ), =( Z, Y ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 560, [ =( 'identity_for'( g1 ), a ), =( 'identity_for'( g1 ), b ),
% 156.98/157.43 =( 'identity_for'( g1 ), c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 561, [ =( d1, a ), =( d1, b ), =( d1, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 562, [ =( d2, a ), =( d2, b ), =( d2, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 563, [ =( d3, a ), =( d3, b ), =( d3, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 567, [ ~( 'group_member'( Y, g1 ) ), =( Y, X ), =( Y, b ), =( Y, c
% 156.98/157.43 ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 568, [ ~( 'group_member'( Y, g1 ) ), =( Y, a ), =( Y, X ), =( Y, c
% 156.98/157.43 ), ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 767, [ product( g1, d1, d2, a ), =( d3, b ), =( d3, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 769, [ product( g1, b, d2, d3 ), =( d1, a ), =( d1, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 773, [ product( g1, c, d2, d3 ), =( d1, a ), =( d1, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 774, [ product( g1, d1, c, d3 ), =( d2, a ), =( d2, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1086, [ ~( =( c, X ) ), ~( 'group_member'( X, g1 ) ), =( X, a ),
% 156.98/157.43 =( X, c ), =( c, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1089, [ ~( =( a, X ) ), ~( =( c, X ) ), ~( 'group_member'( X, g1 )
% 156.98/157.43 ), =( X, a ), =( X, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1091, [ ~( =( c, a ) ), ~( =( a, X ) ), ~( =( c, X ) ), ~(
% 156.98/157.43 'group_member'( X, g1 ) ), =( X, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1092, [ ~( =( c, a ) ), ~( =( c, a ) ), =( c, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1096, [ ~( =( c, X ) ), ~( 'group_member'( X, g1 ) ), =( X, c ),
% 156.98/157.43 =( X, b ), =( c, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1099, [ ~( =( b, X ) ), ~( =( c, X ) ), ~( 'group_member'( X, g1 )
% 156.98/157.43 ), =( X, c ), =( X, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1101, [ ~( =( c, b ) ), ~( =( b, X ) ), ~( =( c, X ) ), ~(
% 156.98/157.43 'group_member'( X, g1 ) ), =( X, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1102, [ ~( =( c, b ) ), ~( =( c, b ) ), =( c, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1110, [ ~( =( c, a ) ), =( d2, b ), =( d2, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1114, [ ~( =( c, a ) ), =( d1, b ), =( d1, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1140, [ =( multiply( g1, a, a ), a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1280, [ =( 'identity_for'( g2 ), f ), =( 'identity_for'( g2 ), g )
% 156.98/157.43 , =( 'identity_for'( g2 ), h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1284, [ ~( 'group_member'( Y, g2 ) ), =( Y, X ), =( Y, g ), =( Y, h
% 156.98/157.43 ), ~( 'group_member'( X, g2 ) ), =( X, g ), =( X, h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1285, [ ~( 'group_member'( Y, g2 ) ), =( Y, f ), =( Y, X ), =( Y, h
% 156.98/157.43 ), ~( 'group_member'( X, g2 ) ), =( X, f ), =( X, h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1701, [ ~( =( h, X ) ), ~( 'group_member'( X, g2 ) ), =( X, f ),
% 156.98/157.43 =( X, h ), =( h, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1704, [ ~( =( f, X ) ), ~( =( h, X ) ), ~( 'group_member'( X, g2 )
% 156.98/157.43 ), =( X, f ), =( X, h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1706, [ ~( =( h, f ) ), ~( =( f, X ) ), ~( =( h, X ) ), ~(
% 156.98/157.43 'group_member'( X, g2 ) ), =( X, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1707, [ ~( =( h, f ) ), ~( =( h, f ) ), =( h, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1711, [ ~( =( h, X ) ), ~( 'group_member'( X, g2 ) ), =( X, h ),
% 156.98/157.43 =( X, g ), =( h, g ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1714, [ ~( =( g, X ) ), ~( =( h, X ) ), ~( 'group_member'( X, g2 )
% 156.98/157.43 ), =( X, h ), =( X, g ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1716, [ ~( =( h, g ) ), ~( =( g, X ) ), ~( =( h, X ) ), ~(
% 156.98/157.43 'group_member'( X, g2 ) ), =( X, h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1717, [ ~( =( h, g ) ), ~( =( h, g ) ), =( h, g ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1721, [ ~( =( h, f ) ), =( 'identity_for'( g2 ), g ), =(
% 156.98/157.43 'identity_for'( g2 ), f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 1722, [ ~( =( h, g ) ), =( 'identity_for'( g2 ), f ), =(
% 156.98/157.43 'identity_for'( g2 ), g ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 2051, [ =( d1, b ), =( d1, c ), ~( product( g2, f, 'an_isomorphism'(
% 156.98/157.43 d2 ), 'an_isomorphism'( d3 ) ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 2053, [ =( d2, b ), =( d2, c ), ~( product( g2, 'an_isomorphism'(
% 156.98/157.43 d1 ), f, 'an_isomorphism'( d3 ) ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 2415, [ product( g1, d1, d1, multiply( g1, d1, d1 ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 2418, [ =( multiply( g1, b, b ), c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 3276, [ =( c, b ), ~( product( g1, c, X, c ) ), ~( product( g1, X,
% 156.98/157.43 X, c ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 3277, [ =( multiply( g1, c, c ), b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 3307, [ ~( product( g1, X, c, Y ) ), =( Y, a ), ~( product( g1, c,
% 156.98/157.43 c, X ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 3441, [ product( X, Y, b, Y ), ~( product( g1, c, c, 'identity_for'(
% 156.98/157.43 X ) ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 3465, [ ~( product( g1, c, c, c ) ), =( c, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 3466, [ ~( product( g1, c, c, c ) ), =( b, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 5043, [ =( multiply( g2, g, g ), h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 7893, [ ~( =( c, a ) ), =( b, a ), =( b, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 7968, [ product( g1, d1, d2, a ), ~( =( c, a ) ), =( d3, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 7982, [ ~( =( c, a ) ), =( b, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 11814, [ =( X, f ), ~( =( h, f ) ), =( g, f ), ~( product( g2, g, f
% 156.98/157.43 , X ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 11970, [ ~( =( h, f ) ), =( g, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 16136, [ =( multiply( g1, c, a ), c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 16602, [ =( multiply( g1, c, b ), a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 16637, [ ~( =( c, b ) ), =( b, a ), =( b, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 16702, [ ~( =( c, b ) ), =( b, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 16704, [ ~( =( c, b ) ), =( c, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 17019, [ =( multiply( g1, b, c ), a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 17407, [ =( multiply( g2, h, f ), h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 18498, [ =( multiply( g2, h, g ), f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 18517, [ ~( =( h, g ) ), =( g, f ), =( g, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 18582, [ ~( =( h, g ) ), =( g, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 18894, [ =( multiply( g2, g, h ), f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 19899, [ =( multiply( g1, d1, d2 ), d3 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 19988, [ =( multiply( g1, a, d2 ), d3 ), =( d1, b ), =( d1, c ) ]
% 156.98/157.43 )
% 156.98/157.43 .
% 156.98/157.43 clause( 19989, [ =( multiply( g1, d1, a ), d3 ), =( d2, b ), =( d2, c ) ]
% 156.98/157.43 )
% 156.98/157.43 .
% 156.98/157.43 clause( 20134, [ ~( =( c, a ) ), =( d3, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20171, [ ~( =( h, f ) ), =( 'identity_for'( g2 ), f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20172, [ ~( =( h, g ) ), =( 'identity_for'( g2 ), f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20184, [ ~( =( c, a ) ), =( d1, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20186, [ ~( =( c, a ) ), =( d2, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20329, [ ~( =( c, a ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20343, [ ~( =( c, b ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20354, [ ~( product( g1, c, c, c ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20355, [ ~( product( g1, c, b, c ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20356, [ ~( product( g1, b, c, c ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20357, [ ~( =( X, a ) ), ~( product( g1, b, b, X ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20358, [ ~( =( X, a ) ), ~( product( g1, c, a, X ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20368, [ ~( product( g1, b, b, a ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20379, [ ~( =( X, b ) ), ~( product( g1, b, b, X ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 20388, [ ~( product( g1, b, b, b ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 38855, [ =( multiply( g1, d1, 'identity_for'( g1 ) ), d1 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 43033, [ =( multiply( g1, 'identity_for'( g1 ), d2 ), d2 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 43035, [ =( multiply( g2, 'identity_for'( g2 ), h ), h ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 43037, [ =( multiply( g2, 'identity_for'( g2 ), f ), f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 46442, [ ~( product( X, c, Y, Z ) ), =( Z, Y ), ~( product( g1, c,
% 156.98/157.43 a, 'identity_for'( X ) ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 46802, [ ~( product( g1, c, a, 'identity_for'( g1 ) ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 47186, [ ~( product( g1, b, b, 'identity_for'( g1 ) ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 47209, [ =( 'identity_for'( g1 ), a ), =( 'identity_for'( g1 ), b )
% 156.98/157.43 , ~( 'group_member'( c, g1 ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 47210, [ ~( =( b, a ) ), =( 'identity_for'( g1 ), b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 47211, [ ~( =( b, a ) ), =( b, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 47241, [ ~( =( b, a ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 47592, [ ~( product( g1, c, c, 'identity_for'( g1 ) ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 47689, [ =( 'identity_for'( g1 ), a ), =( 'identity_for'( g1 ), c )
% 156.98/157.43 , ~( 'group_member'( b, g1 ) ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 48327, [ =( 'identity_for'( g2 ), f ), =( 'identity_for'( g2 ), h )
% 156.98/157.43 , =( h, f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 48552, [ =( 'identity_for'( g2 ), f ), ~( 'group_member'( h, g2 ) )
% 156.98/157.43 , =( h, g ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 62835, [ =( 'identity_for'( g2 ), f ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 62838, [ =( 'identity_for'( g1 ), a ), =( 'identity_for'( g1 ), c )
% 156.98/157.43 ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 62839, [ =( 'identity_for'( g1 ), a ), =( c, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 62973, [ product( g2, X, f, X ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 62974, [ product( g2, f, X, X ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 64610, [ =( 'identity_for'( g1 ), a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 64611, [ =( multiply( g1, d1, a ), d1 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 64615, [ =( multiply( g1, a, d2 ), d2 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 83411, [ =( d1, b ), =( d1, c ), =( d3, d2 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 83412, [ =( d2, b ), =( d2, c ), =( d3, d1 ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 83421, [ =( d1, b ), =( d1, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 83422, [ =( d2, b ), =( d2, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 83427, [ product( g1, b, d2, d3 ), =( d1, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 83429, [ product( g1, c, d2, d3 ), =( d1, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 83430, [ product( g1, d1, c, d3 ), =( d2, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 83984, [ =( multiply( g1, d1, b ), d3 ), =( d2, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143020, [ =( d2, c ), =( d1, c ), =( d3, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143114, [ =( d2, c ), =( d3, c ), =( d3, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143117, [ =( d1, c ), =( d3, c ), =( d3, a ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143118, [ =( d1, c ), =( d3, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143119, [ =( d2, c ), =( d3, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143120, [ =( d2, c ), =( d1, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143125, [ =( d1, c ), =( c, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143126, [ =( d1, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143128, [ =( d3, c ), =( d3, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143129, [ =( d3, c ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143137, [ =( d2, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143139, [ =( c, b ) ] )
% 156.98/157.43 .
% 156.98/157.43 clause( 143144, [] )
% 156.98/157.43 .
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 % SZS output end Refutation
% 156.98/157.43 found a proof!
% 156.98/157.43
% 156.98/157.43 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 156.98/157.43
% 156.98/157.43 initialclauses(
% 156.98/157.43 [ clause( 143146, [ 'group_member'( 'identity_for'( X ), X ) ] )
% 156.98/157.43 , clause( 143147, [ product( X, 'identity_for'( X ), Y, Y ) ] )
% 156.98/157.43 , clause( 143148, [ product( X, Y, 'identity_for'( X ), Y ) ] )
% 156.98/157.43 , clause( 143149, [ ~( 'group_member'( X, Y ) ), 'group_member'( inverse( Y
% 156.98/157.43 , X ), Y ) ] )
% 156.98/157.43 , clause( 143150, [ product( X, inverse( X, Y ), Y, 'identity_for'( X ) ) ]
% 156.98/157.43 )
% 156.98/157.43 , clause( 143151, [ product( X, Y, inverse( X, Y ), 'identity_for'( X ) ) ]
% 156.98/157.43 )
% 156.98/157.43 , clause( 143152, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y )
% 156.98/157.43 ), product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , clause( 143153, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y )
% 156.98/157.43 ), 'group_member'( multiply( Y, X, Z ), Y ) ] )
% 156.98/157.43 , clause( 143154, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) )
% 156.98/157.43 , =( U, T ) ] )
% 156.98/157.43 , clause( 143155, [ ~( product( X, Y, Z, T ) ), ~( product( X, Z, U, W ) )
% 156.98/157.43 , ~( product( X, T, U, V0 ) ), product( X, Y, W, V0 ) ] )
% 156.98/157.43 , clause( 143156, [ ~( product( X, Y, Z, T ) ), ~( product( X, Z, U, W ) )
% 156.98/157.43 , ~( product( X, Y, W, V0 ) ), product( X, T, U, V0 ) ] )
% 156.98/157.43 , clause( 143157, [ 'group_member'( a, g1 ) ] )
% 156.98/157.43 , clause( 143158, [ 'group_member'( b, g1 ) ] )
% 156.98/157.43 , clause( 143159, [ 'group_member'( c, g1 ) ] )
% 156.98/157.43 , clause( 143160, [ 'group_member'( f, g2 ) ] )
% 156.98/157.43 , clause( 143161, [ 'group_member'( g, g2 ) ] )
% 156.98/157.43 , clause( 143162, [ 'group_member'( h, g2 ) ] )
% 156.98/157.43 , clause( 143163, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =(
% 156.98/157.43 X, c ) ] )
% 156.98/157.43 , clause( 143164, [ ~( 'group_member'( X, g2 ) ), =( X, f ), =( X, g ), =(
% 156.98/157.43 X, h ) ] )
% 156.98/157.43 , clause( 143165, [ product( g1, a, a, a ) ] )
% 156.98/157.43 , clause( 143166, [ product( g1, a, b, b ) ] )
% 156.98/157.43 , clause( 143167, [ product( g1, b, a, b ) ] )
% 156.98/157.43 , clause( 143168, [ product( g1, a, c, c ) ] )
% 156.98/157.43 , clause( 143169, [ product( g1, c, a, c ) ] )
% 156.98/157.43 , clause( 143170, [ product( g1, b, b, c ) ] )
% 156.98/157.43 , clause( 143171, [ product( g1, b, c, a ) ] )
% 156.98/157.43 , clause( 143172, [ product( g1, c, b, a ) ] )
% 156.98/157.43 , clause( 143173, [ product( g1, c, c, b ) ] )
% 156.98/157.43 , clause( 143174, [ product( g2, f, f, f ) ] )
% 156.98/157.43 , clause( 143175, [ product( g2, f, g, g ) ] )
% 156.98/157.43 , clause( 143176, [ product( g2, g, f, g ) ] )
% 156.98/157.43 , clause( 143177, [ product( g2, f, h, h ) ] )
% 156.98/157.43 , clause( 143178, [ product( g2, h, f, h ) ] )
% 156.98/157.43 , clause( 143179, [ product( g2, g, g, h ) ] )
% 156.98/157.43 , clause( 143180, [ product( g2, g, h, f ) ] )
% 156.98/157.43 , clause( 143181, [ product( g2, h, g, f ) ] )
% 156.98/157.43 , clause( 143182, [ product( g2, h, h, g ) ] )
% 156.98/157.43 , clause( 143183, [ =( 'an_isomorphism'( a ), f ) ] )
% 156.98/157.43 , clause( 143184, [ =( 'an_isomorphism'( b ), g ) ] )
% 156.98/157.43 , clause( 143185, [ =( 'an_isomorphism'( c ), h ) ] )
% 156.98/157.43 , clause( 143186, [ 'group_member'( d1, g1 ) ] )
% 156.98/157.43 , clause( 143187, [ 'group_member'( d2, g1 ) ] )
% 156.98/157.43 , clause( 143188, [ 'group_member'( d3, g1 ) ] )
% 156.98/157.43 , clause( 143189, [ product( g1, d1, d2, d3 ) ] )
% 156.98/157.43 , clause( 143190, [ ~( product( g2, 'an_isomorphism'( d1 ),
% 156.98/157.43 'an_isomorphism'( d2 ), 'an_isomorphism'( d3 ) ) ) ] )
% 156.98/157.43 ] ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 0, [ 'group_member'( 'identity_for'( X ), X ) ] )
% 156.98/157.43 , clause( 143146, [ 'group_member'( 'identity_for'( X ), X ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 1, [ product( X, 'identity_for'( X ), Y, Y ) ] )
% 156.98/157.43 , clause( 143147, [ product( X, 'identity_for'( X ), Y, Y ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 156.98/157.43 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 2, [ product( X, Y, 'identity_for'( X ), Y ) ] )
% 156.98/157.43 , clause( 143148, [ product( X, Y, 'identity_for'( X ), Y ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 156.98/157.43 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , clause( 143152, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y )
% 156.98/157.43 ), product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 156.98/157.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U,
% 156.98/157.43 T ) ] )
% 156.98/157.43 , clause( 143154, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) )
% 156.98/157.43 , =( U, T ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 156.98/157.43 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 156.98/157.43 ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 9, [ ~( product( X, Y, Z, T ) ), ~( product( X, Z, U, W ) ), ~(
% 156.98/157.43 product( X, T, U, V0 ) ), product( X, Y, W, V0 ) ] )
% 156.98/157.43 , clause( 143155, [ ~( product( X, Y, Z, T ) ), ~( product( X, Z, U, W ) )
% 156.98/157.43 , ~( product( X, T, U, V0 ) ), product( X, Y, W, V0 ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 156.98/157.43 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 156.98/157.43 , 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 11, [ 'group_member'( a, g1 ) ] )
% 156.98/157.43 , clause( 143157, [ 'group_member'( a, g1 ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 12, [ 'group_member'( b, g1 ) ] )
% 156.98/157.43 , clause( 143158, [ 'group_member'( b, g1 ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 13, [ 'group_member'( c, g1 ) ] )
% 156.98/157.43 , clause( 143159, [ 'group_member'( c, g1 ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 14, [ 'group_member'( f, g2 ) ] )
% 156.98/157.43 , clause( 143160, [ 'group_member'( f, g2 ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 15, [ 'group_member'( g, g2 ) ] )
% 156.98/157.43 , clause( 143161, [ 'group_member'( g, g2 ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 16, [ 'group_member'( h, g2 ) ] )
% 156.98/157.43 , clause( 143162, [ 'group_member'( h, g2 ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 17, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c )
% 156.98/157.43 ] )
% 156.98/157.43 , clause( 143163, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =(
% 156.98/157.43 X, c ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 18, [ ~( 'group_member'( X, g2 ) ), =( X, f ), =( X, g ), =( X, h )
% 156.98/157.43 ] )
% 156.98/157.43 , clause( 143164, [ ~( 'group_member'( X, g2 ) ), =( X, f ), =( X, g ), =(
% 156.98/157.43 X, h ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 19, [ product( g1, a, a, a ) ] )
% 156.98/157.43 , clause( 143165, [ product( g1, a, a, a ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 23, [ product( g1, c, a, c ) ] )
% 156.98/157.43 , clause( 143169, [ product( g1, c, a, c ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 24, [ product( g1, b, b, c ) ] )
% 156.98/157.43 , clause( 143170, [ product( g1, b, b, c ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 25, [ product( g1, b, c, a ) ] )
% 156.98/157.43 , clause( 143171, [ product( g1, b, c, a ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 26, [ product( g1, c, b, a ) ] )
% 156.98/157.43 , clause( 143172, [ product( g1, c, b, a ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 27, [ product( g1, c, c, b ) ] )
% 156.98/157.43 , clause( 143173, [ product( g1, c, c, b ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 28, [ product( g2, f, f, f ) ] )
% 156.98/157.43 , clause( 143174, [ product( g2, f, f, f ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 30, [ product( g2, g, f, g ) ] )
% 156.98/157.43 , clause( 143176, [ product( g2, g, f, g ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 32, [ product( g2, h, f, h ) ] )
% 156.98/157.43 , clause( 143178, [ product( g2, h, f, h ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 33, [ product( g2, g, g, h ) ] )
% 156.98/157.43 , clause( 143179, [ product( g2, g, g, h ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 34, [ product( g2, g, h, f ) ] )
% 156.98/157.43 , clause( 143180, [ product( g2, g, h, f ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 35, [ product( g2, h, g, f ) ] )
% 156.98/157.43 , clause( 143181, [ product( g2, h, g, f ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 36, [ product( g2, h, h, g ) ] )
% 156.98/157.43 , clause( 143182, [ product( g2, h, h, g ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 37, [ =( 'an_isomorphism'( a ), f ) ] )
% 156.98/157.43 , clause( 143183, [ =( 'an_isomorphism'( a ), f ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 38, [ =( 'an_isomorphism'( b ), g ) ] )
% 156.98/157.43 , clause( 143184, [ =( 'an_isomorphism'( b ), g ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 39, [ =( 'an_isomorphism'( c ), h ) ] )
% 156.98/157.43 , clause( 143185, [ =( 'an_isomorphism'( c ), h ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 40, [ 'group_member'( d1, g1 ) ] )
% 156.98/157.43 , clause( 143186, [ 'group_member'( d1, g1 ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 41, [ 'group_member'( d2, g1 ) ] )
% 156.98/157.43 , clause( 143187, [ 'group_member'( d2, g1 ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 42, [ 'group_member'( d3, g1 ) ] )
% 156.98/157.43 , clause( 143188, [ 'group_member'( d3, g1 ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 43, [ product( g1, d1, d2, d3 ) ] )
% 156.98/157.43 , clause( 143189, [ product( g1, d1, d2, d3 ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 44, [ ~( product( g2, 'an_isomorphism'( d1 ), 'an_isomorphism'( d2
% 156.98/157.43 ), 'an_isomorphism'( d3 ) ) ) ] )
% 156.98/157.43 , clause( 143190, [ ~( product( g2, 'an_isomorphism'( d1 ),
% 156.98/157.43 'an_isomorphism'( d2 ), 'an_isomorphism'( d3 ) ) ) ] )
% 156.98/157.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 factor(
% 156.98/157.43 clause( 143857, [ ~( 'group_member'( X, Y ) ), product( Y, X, X, multiply(
% 156.98/157.43 Y, X, X ) ) ] )
% 156.98/157.43 , clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 45, [ ~( 'group_member'( X, Y ) ), product( Y, X, X, multiply( Y, X
% 156.98/157.43 , X ) ) ] )
% 156.98/157.43 , clause( 143857, [ ~( 'group_member'( X, Y ) ), product( Y, X, X, multiply(
% 156.98/157.43 Y, X, X ) ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 156.98/157.43 ), ==>( 1, 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 factor(
% 156.98/157.43 clause( 143859, [ ~( product( X, Y, Z, Y ) ), ~( product( X, Z, Z, T ) ),
% 156.98/157.43 product( X, Y, T, Y ) ] )
% 156.98/157.43 , clause( 9, [ ~( product( X, Y, Z, T ) ), ~( product( X, Z, U, W ) ), ~(
% 156.98/157.43 product( X, T, U, V0 ) ), product( X, Y, W, V0 ) ] )
% 156.98/157.43 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y ),
% 156.98/157.43 :=( U, Z ), :=( W, T ), :=( V0, Y )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 48, [ ~( product( X, Y, Z, Y ) ), ~( product( X, Z, Z, T ) ),
% 156.98/157.43 product( X, Y, T, Y ) ] )
% 156.98/157.43 , clause( 143859, [ ~( product( X, Y, Z, Y ) ), ~( product( X, Z, Z, T ) )
% 156.98/157.43 , product( X, Y, T, Y ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 156.98/157.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqswap(
% 156.98/157.43 clause( 143863, [ =( b, X ), ~( 'group_member'( X, g1 ) ), =( X, a ), =( X
% 156.98/157.43 , c ) ] )
% 156.98/157.43 , clause( 17, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c
% 156.98/157.43 ) ] )
% 156.98/157.43 , 2, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqfact(
% 156.98/157.43 clause( 143914, [ ~( =( c, a ) ), =( b, X ), ~( 'group_member'( X, g1 ) ),
% 156.98/157.43 =( X, a ) ] )
% 156.98/157.43 , clause( 143863, [ =( b, X ), ~( 'group_member'( X, g1 ) ), =( X, a ), =(
% 156.98/157.43 X, c ) ] )
% 156.98/157.43 , 3, 2, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqswap(
% 156.98/157.43 clause( 143916, [ =( X, b ), ~( =( c, a ) ), ~( 'group_member'( X, g1 ) ),
% 156.98/157.43 =( X, a ) ] )
% 156.98/157.43 , clause( 143914, [ ~( =( c, a ) ), =( b, X ), ~( 'group_member'( X, g1 ) )
% 156.98/157.43 , =( X, a ) ] )
% 156.98/157.43 , 1, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 57, [ ~( =( c, a ) ), ~( 'group_member'( X, g1 ) ), =( X, a ), =( X
% 156.98/157.43 , b ) ] )
% 156.98/157.43 , clause( 143916, [ =( X, b ), ~( =( c, a ) ), ~( 'group_member'( X, g1 ) )
% 156.98/157.43 , =( X, a ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 156.98/157.43 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqswap(
% 156.98/157.43 clause( 143949, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X
% 156.98/157.43 , c ) ] )
% 156.98/157.43 , clause( 17, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c
% 156.98/157.43 ) ] )
% 156.98/157.43 , 1, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqfact(
% 156.98/157.43 clause( 143961, [ ~( =( c, b ) ), =( a, X ), ~( 'group_member'( X, g1 ) ),
% 156.98/157.43 =( X, b ) ] )
% 156.98/157.43 , clause( 143949, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =(
% 156.98/157.43 X, c ) ] )
% 156.98/157.43 , 3, 2, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqswap(
% 156.98/157.43 clause( 143963, [ =( X, a ), ~( =( c, b ) ), ~( 'group_member'( X, g1 ) ),
% 156.98/157.43 =( X, b ) ] )
% 156.98/157.43 , clause( 143961, [ ~( =( c, b ) ), =( a, X ), ~( 'group_member'( X, g1 ) )
% 156.98/157.43 , =( X, b ) ] )
% 156.98/157.43 , 1, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 58, [ ~( =( c, b ) ), ~( 'group_member'( X, g1 ) ), =( X, a ), =( X
% 156.98/157.43 , b ) ] )
% 156.98/157.43 , clause( 143963, [ =( X, a ), ~( =( c, b ) ), ~( 'group_member'( X, g1 ) )
% 156.98/157.43 , =( X, b ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 156.98/157.43 0 ), ==>( 2, 1 ), ==>( 3, 3 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqswap(
% 156.98/157.43 clause( 143997, [ =( g, X ), ~( 'group_member'( X, g2 ) ), =( X, f ), =( X
% 156.98/157.43 , h ) ] )
% 156.98/157.43 , clause( 18, [ ~( 'group_member'( X, g2 ) ), =( X, f ), =( X, g ), =( X, h
% 156.98/157.43 ) ] )
% 156.98/157.43 , 2, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqfact(
% 156.98/157.43 clause( 144048, [ ~( =( h, f ) ), =( g, X ), ~( 'group_member'( X, g2 ) ),
% 156.98/157.43 =( X, f ) ] )
% 156.98/157.43 , clause( 143997, [ =( g, X ), ~( 'group_member'( X, g2 ) ), =( X, f ), =(
% 156.98/157.43 X, h ) ] )
% 156.98/157.43 , 3, 2, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqswap(
% 156.98/157.43 clause( 144050, [ =( X, g ), ~( =( h, f ) ), ~( 'group_member'( X, g2 ) ),
% 156.98/157.43 =( X, f ) ] )
% 156.98/157.43 , clause( 144048, [ ~( =( h, f ) ), =( g, X ), ~( 'group_member'( X, g2 ) )
% 156.98/157.43 , =( X, f ) ] )
% 156.98/157.43 , 1, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 72, [ ~( =( h, f ) ), ~( 'group_member'( X, g2 ) ), =( X, f ), =( X
% 156.98/157.43 , g ) ] )
% 156.98/157.43 , clause( 144050, [ =( X, g ), ~( =( h, f ) ), ~( 'group_member'( X, g2 ) )
% 156.98/157.43 , =( X, f ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 156.98/157.43 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqswap(
% 156.98/157.43 clause( 144083, [ =( f, X ), ~( 'group_member'( X, g2 ) ), =( X, g ), =( X
% 156.98/157.43 , h ) ] )
% 156.98/157.43 , clause( 18, [ ~( 'group_member'( X, g2 ) ), =( X, f ), =( X, g ), =( X, h
% 156.98/157.43 ) ] )
% 156.98/157.43 , 1, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqfact(
% 156.98/157.43 clause( 144095, [ ~( =( h, g ) ), =( f, X ), ~( 'group_member'( X, g2 ) ),
% 156.98/157.43 =( X, g ) ] )
% 156.98/157.43 , clause( 144083, [ =( f, X ), ~( 'group_member'( X, g2 ) ), =( X, g ), =(
% 156.98/157.43 X, h ) ] )
% 156.98/157.43 , 3, 2, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqswap(
% 156.98/157.43 clause( 144097, [ =( X, f ), ~( =( h, g ) ), ~( 'group_member'( X, g2 ) ),
% 156.98/157.43 =( X, g ) ] )
% 156.98/157.43 , clause( 144095, [ ~( =( h, g ) ), =( f, X ), ~( 'group_member'( X, g2 ) )
% 156.98/157.43 , =( X, g ) ] )
% 156.98/157.43 , 1, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 73, [ ~( =( h, g ) ), ~( 'group_member'( X, g2 ) ), =( X, f ), =( X
% 156.98/157.43 , g ) ] )
% 156.98/157.43 , clause( 144097, [ =( X, f ), ~( =( h, g ) ), ~( 'group_member'( X, g2 ) )
% 156.98/157.43 , =( X, g ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 156.98/157.43 0 ), ==>( 2, 1 ), ==>( 3, 3 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144131, [ ~( 'group_member'( X, g1 ) ), product( g1, X, a, multiply(
% 156.98/157.43 g1, X, a ) ) ] )
% 156.98/157.43 , clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , 1, clause( 11, [ 'group_member'( a, g1 ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, g1 ), :=( Z, a )] ),
% 156.98/157.43 substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 97, [ ~( 'group_member'( X, g1 ) ), product( g1, X, a, multiply( g1
% 156.98/157.43 , X, a ) ) ] )
% 156.98/157.43 , clause( 144131, [ ~( 'group_member'( X, g1 ) ), product( g1, X, a,
% 156.98/157.43 multiply( g1, X, a ) ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144133, [ ~( 'group_member'( X, g1 ) ), product( g1, X, b, multiply(
% 156.98/157.43 g1, X, b ) ) ] )
% 156.98/157.43 , clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , 1, clause( 12, [ 'group_member'( b, g1 ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, g1 ), :=( Z, b )] ),
% 156.98/157.43 substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 99, [ ~( 'group_member'( X, g1 ) ), product( g1, X, b, multiply( g1
% 156.98/157.43 , X, b ) ) ] )
% 156.98/157.43 , clause( 144133, [ ~( 'group_member'( X, g1 ) ), product( g1, X, b,
% 156.98/157.43 multiply( g1, X, b ) ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144135, [ ~( 'group_member'( X, g1 ) ), product( g1, X, c, multiply(
% 156.98/157.43 g1, X, c ) ) ] )
% 156.98/157.43 , clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , 1, clause( 13, [ 'group_member'( c, g1 ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, g1 ), :=( Z, c )] ),
% 156.98/157.43 substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 101, [ ~( 'group_member'( X, g1 ) ), product( g1, X, c, multiply(
% 156.98/157.43 g1, X, c ) ) ] )
% 156.98/157.43 , clause( 144135, [ ~( 'group_member'( X, g1 ) ), product( g1, X, c,
% 156.98/157.43 multiply( g1, X, c ) ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144137, [ ~( 'group_member'( X, g2 ) ), product( g2, X, f, multiply(
% 156.98/157.43 g2, X, f ) ) ] )
% 156.98/157.43 , clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , 1, clause( 14, [ 'group_member'( f, g2 ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, g2 ), :=( Z, f )] ),
% 156.98/157.43 substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 103, [ ~( 'group_member'( X, g2 ) ), product( g2, X, f, multiply(
% 156.98/157.43 g2, X, f ) ) ] )
% 156.98/157.43 , clause( 144137, [ ~( 'group_member'( X, g2 ) ), product( g2, X, f,
% 156.98/157.43 multiply( g2, X, f ) ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144139, [ ~( 'group_member'( X, g2 ) ), product( g2, X, g, multiply(
% 156.98/157.43 g2, X, g ) ) ] )
% 156.98/157.43 , clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , 1, clause( 15, [ 'group_member'( g, g2 ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, g2 ), :=( Z, g )] ),
% 156.98/157.43 substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 107, [ ~( 'group_member'( X, g2 ) ), product( g2, X, g, multiply(
% 156.98/157.43 g2, X, g ) ) ] )
% 156.98/157.43 , clause( 144139, [ ~( 'group_member'( X, g2 ) ), product( g2, X, g,
% 156.98/157.43 multiply( g2, X, g ) ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144141, [ ~( 'group_member'( X, g2 ) ), product( g2, X, h, multiply(
% 156.98/157.43 g2, X, h ) ) ] )
% 156.98/157.43 , clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , 1, clause( 16, [ 'group_member'( h, g2 ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, g2 ), :=( Z, h )] ),
% 156.98/157.43 substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 109, [ ~( 'group_member'( X, g2 ) ), product( g2, X, h, multiply(
% 156.98/157.43 g2, X, h ) ) ] )
% 156.98/157.43 , clause( 144141, [ ~( 'group_member'( X, g2 ) ), product( g2, X, h,
% 156.98/157.43 multiply( g2, X, h ) ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144142, [ ~( 'group_member'( X, g1 ) ), product( g1, d1, X,
% 156.98/157.43 multiply( g1, d1, X ) ) ] )
% 156.98/157.43 , clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , 0, clause( 40, [ 'group_member'( d1, g1 ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, d1 ), :=( Y, g1 ), :=( Z, X )] ),
% 156.98/157.43 substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 110, [ ~( 'group_member'( X, g1 ) ), product( g1, d1, X, multiply(
% 156.98/157.43 g1, d1, X ) ) ] )
% 156.98/157.43 , clause( 144142, [ ~( 'group_member'( X, g1 ) ), product( g1, d1, X,
% 156.98/157.43 multiply( g1, d1, X ) ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144145, [ ~( 'group_member'( X, g1 ) ), product( g1, X, d2,
% 156.98/157.43 multiply( g1, X, d2 ) ) ] )
% 156.98/157.43 , clause( 6, [ ~( 'group_member'( X, Y ) ), ~( 'group_member'( Z, Y ) ),
% 156.98/157.43 product( Y, X, Z, multiply( Y, X, Z ) ) ] )
% 156.98/157.43 , 1, clause( 41, [ 'group_member'( d2, g1 ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, g1 ), :=( Z, d2 )] ),
% 156.98/157.43 substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 113, [ ~( 'group_member'( X, g1 ) ), product( g1, X, d2, multiply(
% 156.98/157.43 g1, X, d2 ) ) ] )
% 156.98/157.43 , clause( 144145, [ ~( 'group_member'( X, g1 ) ), product( g1, X, d2,
% 156.98/157.43 multiply( g1, X, d2 ) ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144146, [ ~( product( g1, a, a, X ) ), =( X, a ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 19, [ product( g1, a, a, a ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g1 ), :=( Y, a ), :=( Z, a ), :=( T, a ),
% 156.98/157.43 :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 186, [ ~( product( g1, a, a, X ) ), =( X, a ) ] )
% 156.98/157.43 , clause( 144146, [ ~( product( g1, a, a, X ) ), =( X, a ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144148, [ ~( product( g1, c, a, X ) ), =( X, c ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 23, [ product( g1, c, a, c ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g1 ), :=( Y, c ), :=( Z, a ), :=( T, c ),
% 156.98/157.43 :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 191, [ ~( product( g1, c, a, X ) ), =( X, c ) ] )
% 156.98/157.43 , clause( 144148, [ ~( product( g1, c, a, X ) ), =( X, c ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144150, [ ~( product( g1, b, b, X ) ), =( X, c ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 24, [ product( g1, b, b, c ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g1 ), :=( Y, b ), :=( Z, b ), :=( T, c ),
% 156.98/157.43 :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 192, [ ~( product( g1, b, b, X ) ), =( X, c ) ] )
% 156.98/157.43 , clause( 144150, [ ~( product( g1, b, b, X ) ), =( X, c ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144152, [ ~( product( g1, b, c, X ) ), =( X, a ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 25, [ product( g1, b, c, a ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g1 ), :=( Y, b ), :=( Z, c ), :=( T, a ),
% 156.98/157.43 :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 194, [ ~( product( g1, b, c, X ) ), =( X, a ) ] )
% 156.98/157.43 , clause( 144152, [ ~( product( g1, b, c, X ) ), =( X, a ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144154, [ ~( product( g1, c, b, X ) ), =( X, a ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 26, [ product( g1, c, b, a ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g1 ), :=( Y, c ), :=( Z, b ), :=( T, a ),
% 156.98/157.43 :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 195, [ ~( product( g1, c, b, X ) ), =( X, a ) ] )
% 156.98/157.43 , clause( 144154, [ ~( product( g1, c, b, X ) ), =( X, a ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144156, [ ~( product( g1, c, c, X ) ), =( X, b ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 27, [ product( g1, c, c, b ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g1 ), :=( Y, c ), :=( Z, c ), :=( T, b ),
% 156.98/157.43 :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 196, [ ~( product( g1, c, c, X ) ), =( X, b ) ] )
% 156.98/157.43 , clause( 144156, [ ~( product( g1, c, c, X ) ), =( X, b ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144158, [ ~( product( g2, h, f, X ) ), =( X, h ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 32, [ product( g2, h, f, h ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g2 ), :=( Y, h ), :=( Z, f ), :=( T, h ),
% 156.98/157.43 :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 202, [ ~( product( g2, h, f, X ) ), =( X, h ) ] )
% 156.98/157.43 , clause( 144158, [ ~( product( g2, h, f, X ) ), =( X, h ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144160, [ ~( product( g2, g, g, X ) ), =( X, h ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 33, [ product( g2, g, g, h ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g2 ), :=( Y, g ), :=( Z, g ), :=( T, h ),
% 156.98/157.43 :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 203, [ ~( product( g2, g, g, X ) ), =( X, h ) ] )
% 156.98/157.43 , clause( 144160, [ ~( product( g2, g, g, X ) ), =( X, h ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144162, [ ~( product( g2, g, h, X ) ), =( X, f ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 34, [ product( g2, g, h, f ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g2 ), :=( Y, g ), :=( Z, h ), :=( T, f ),
% 156.98/157.43 :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 204, [ ~( product( g2, g, h, X ) ), =( X, f ) ] )
% 156.98/157.43 , clause( 144162, [ ~( product( g2, g, h, X ) ), =( X, f ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144164, [ ~( product( g2, h, g, X ) ), =( X, f ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 35, [ product( g2, h, g, f ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g2 ), :=( Y, h ), :=( Z, g ), :=( T, f ),
% 156.98/157.43 :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 205, [ ~( product( g2, h, g, X ) ), =( X, f ) ] )
% 156.98/157.43 , clause( 144164, [ ~( product( g2, h, g, X ) ), =( X, f ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144166, [ ~( product( X, Y, 'identity_for'( X ), Z ) ), =( Z, Y ) ]
% 156.98/157.43 )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 2, [ product( X, Y, 'identity_for'( X ), Y ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'identity_for'( X )
% 156.98/157.43 ), :=( T, Y ), :=( U, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 156.98/157.43 ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 207, [ ~( product( X, Y, 'identity_for'( X ), Z ) ), =( Z, Y ) ] )
% 156.98/157.43 , clause( 144166, [ ~( product( X, Y, 'identity_for'( X ), Z ) ), =( Z, Y )
% 156.98/157.43 ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 156.98/157.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144168, [ ~( product( g1, d1, d2, X ) ), =( X, d3 ) ] )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 43, [ product( g1, d1, d2, d3 ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, g1 ), :=( Y, d1 ), :=( Z, d2 ), :=( T, d3 )
% 156.98/157.43 , :=( U, X )] ), substitution( 1, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 208, [ ~( product( g1, d1, d2, X ) ), =( X, d3 ) ] )
% 156.98/157.43 , clause( 144168, [ ~( product( g1, d1, d2, X ) ), =( X, d3 ) ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 156.98/157.43 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144170, [ ~( product( X, 'identity_for'( X ), Y, Z ) ), =( Z, Y ) ]
% 156.98/157.43 )
% 156.98/157.43 , clause( 8, [ ~( product( X, Y, Z, T ) ), ~( product( X, Y, Z, U ) ), =( U
% 156.98/157.43 , T ) ] )
% 156.98/157.43 , 0, clause( 1, [ product( X, 'identity_for'( X ), Y, Y ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'identity_for'( X ) ), :=( Z, Y
% 156.98/157.43 ), :=( T, Y ), :=( U, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 156.98/157.43 ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 209, [ ~( product( X, 'identity_for'( X ), Y, Z ) ), =( Z, Y ) ] )
% 156.98/157.43 , clause( 144170, [ ~( product( X, 'identity_for'( X ), Y, Z ) ), =( Z, Y )
% 156.98/157.43 ] )
% 156.98/157.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 156.98/157.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqswap(
% 156.98/157.43 clause( 144172, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X
% 156.98/157.43 , c ) ] )
% 156.98/157.43 , clause( 17, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c
% 156.98/157.43 ) ] )
% 156.98/157.43 , 1, substitution( 0, [ :=( X, X )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 resolution(
% 156.98/157.43 clause( 144179, [ =( a, 'identity_for'( g1 ) ), =( 'identity_for'( g1 ), b
% 156.98/157.43 ), =( 'identity_for'( g1 ), c ) ] )
% 156.98/157.43 , clause( 144172, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =(
% 156.98/157.43 X, c ) ] )
% 156.98/157.43 , 1, clause( 0, [ 'group_member'( 'identity_for'( X ), X ) ] )
% 156.98/157.43 , 0, substitution( 0, [ :=( X, 'identity_for'( g1 ) )] ), substitution( 1
% 156.98/157.43 , [ :=( X, g1 )] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 eqswap(
% 156.98/157.43 clause( 144180, [ =( 'identity_for'( g1 ), a ), =( 'identity_for'( g1 ), b
% 156.98/157.43 ), =( 'identity_for'( g1 ), c ) ] )
% 156.98/157.43 , clause( 144179, [ =( a, 'identity_for'( g1 ) ), =( 'identity_for'( g1 ),
% 156.98/157.43 b ), =( 'identity_for'( g1 ), c ) ] )
% 156.98/157.43 , 0, substitution( 0, [] )).
% 156.98/157.43
% 156.98/157.43
% 156.98/157.43 subsumption(
% 156.98/157.43 clause( 560, [ =( 'identity_for'( g1 ), a ), =( 'identity_for'( g1 ), b ),
% 156.98/157.43 =( 'identity_for'( g1 ), c ) ] )
% 156.98/157.43 , clause( 144180, [ =( 'identity_for'( g1 ), a ), =( 'identity_for'( g1 ),
% 200.79/201.21 b ), =( 'identity_for'( g1 ), c ) ] )
% 200.79/201.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 200.79/201.21 , 2 )] ) ).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 eqswap(
% 200.79/201.21 clause( 144187, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X
% 200.79/201.21 , c ) ] )
% 200.79/201.21 , clause( 17, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c
% 200.79/201.21 ) ] )
% 200.79/201.21 , 1, substitution( 0, [ :=( X, X )] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 resolution(
% 200.79/201.21 clause( 144194, [ =( a, d1 ), =( d1, b ), =( d1, c ) ] )
% 200.79/201.21 , clause( 144187, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =(
% 200.79/201.21 X, c ) ] )
% 200.79/201.21 , 1, clause( 40, [ 'group_member'( d1, g1 ) ] )
% 200.79/201.21 , 0, substitution( 0, [ :=( X, d1 )] ), substitution( 1, [] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 eqswap(
% 200.79/201.21 clause( 144195, [ =( d1, a ), =( d1, b ), =( d1, c ) ] )
% 200.79/201.21 , clause( 144194, [ =( a, d1 ), =( d1, b ), =( d1, c ) ] )
% 200.79/201.21 , 0, substitution( 0, [] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 subsumption(
% 200.79/201.21 clause( 561, [ =( d1, a ), =( d1, b ), =( d1, c ) ] )
% 200.79/201.21 , clause( 144195, [ =( d1, a ), =( d1, b ), =( d1, c ) ] )
% 200.79/201.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 200.79/201.21 , 2 )] ) ).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 eqswap(
% 200.79/201.21 clause( 144202, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X
% 200.79/201.21 , c ) ] )
% 200.79/201.21 , clause( 17, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c
% 200.79/201.21 ) ] )
% 200.79/201.21 , 1, substitution( 0, [ :=( X, X )] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 resolution(
% 200.79/201.21 clause( 144209, [ =( a, d2 ), =( d2, b ), =( d2, c ) ] )
% 200.79/201.21 , clause( 144202, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =(
% 200.79/201.21 X, c ) ] )
% 200.79/201.21 , 1, clause( 41, [ 'group_member'( d2, g1 ) ] )
% 200.79/201.21 , 0, substitution( 0, [ :=( X, d2 )] ), substitution( 1, [] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 eqswap(
% 200.79/201.21 clause( 144210, [ =( d2, a ), =( d2, b ), =( d2, c ) ] )
% 200.79/201.21 , clause( 144209, [ =( a, d2 ), =( d2, b ), =( d2, c ) ] )
% 200.79/201.21 , 0, substitution( 0, [] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 subsumption(
% 200.79/201.21 clause( 562, [ =( d2, a ), =( d2, b ), =( d2, c ) ] )
% 200.79/201.21 , clause( 144210, [ =( d2, a ), =( d2, b ), =( d2, c ) ] )
% 200.79/201.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 200.79/201.21 , 2 )] ) ).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 eqswap(
% 200.79/201.21 clause( 144217, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X
% 200.79/201.21 , c ) ] )
% 200.79/201.21 , clause( 17, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c
% 200.79/201.21 ) ] )
% 200.79/201.21 , 1, substitution( 0, [ :=( X, X )] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 resolution(
% 200.79/201.21 clause( 144224, [ =( a, d3 ), =( d3, b ), =( d3, c ) ] )
% 200.79/201.21 , clause( 144217, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =(
% 200.79/201.21 X, c ) ] )
% 200.79/201.21 , 1, clause( 42, [ 'group_member'( d3, g1 ) ] )
% 200.79/201.21 , 0, substitution( 0, [ :=( X, d3 )] ), substitution( 1, [] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 eqswap(
% 200.79/201.21 clause( 144225, [ =( d3, a ), =( d3, b ), =( d3, c ) ] )
% 200.79/201.21 , clause( 144224, [ =( a, d3 ), =( d3, b ), =( d3, c ) ] )
% 200.79/201.21 , 0, substitution( 0, [] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 subsumption(
% 200.79/201.21 clause( 563, [ =( d3, a ), =( d3, b ), =( d3, c ) ] )
% 200.79/201.21 , clause( 144225, [ =( d3, a ), =( d3, b ), =( d3, c ) ] )
% 200.79/201.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 200.79/201.21 , 2 )] ) ).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 eqswap(
% 200.79/201.21 clause( 144232, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X
% 200.79/201.21 , c ) ] )
% 200.79/201.21 , clause( 17, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c
% 200.79/201.21 ) ] )
% 200.79/201.21 , 1, substitution( 0, [ :=( X, X )] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 eqswap(
% 200.79/201.21 clause( 144239, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X
% 200.79/201.21 , c ) ] )
% 200.79/201.21 , clause( 17, [ ~( 'group_member'( X, g1 ) ), =( X, a ), =( X, b ), =( X, c
% 200.79/201.21 ) ] )
% 200.79/201.21 , 1, substitution( 0, [ :=( X, X )] )).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 paramod(
% 200.79/201.21 clause( 144246, [ =( Y, X ), ~( 'group_member'( Y, g1 ) ), =( Y, b ), =( Y
% 200.79/201.21 , c ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X, c ) ] )
% 200.79/201.21 , clause( 144232, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ), =(
% 200.79/201.21 X, c ) ] )
% 200.79/201.21 , 0, clause( 144239, [ =( a, X ), ~( 'group_member'( X, g1 ) ), =( X, b ),
% 200.79/201.21 =( X, c ) ] )
% 200.79/201.21 , 0, 1, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X )] )
% 200.79/201.21 ).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 subsumption(
% 200.79/201.21 clause( 567, [ ~( 'group_member'( Y, g1 ) ), =( Y, X ), =( Y, b ), =( Y, c
% 200.79/201.21 ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X, c ) ] )
% 200.79/201.21 , clause( 144246, [ =( Y, X ), ~( 'group_member'( Y, g1 ) ), =( Y, b ), =(
% 200.79/201.21 Y, c ), ~( 'group_member'( X, g1 ) ), =( X, b ), =( X, c ) ] )
% 200.79/201.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 200.79/201.21 ), ==>( 1, 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 ),
% 200.79/201.21 ==>( 6, 6 )] ) ).
% 200.79/201.21
% 200.79/201.21
% 200.79/201.21 eqswap(
% 200.79/201.21 clause( 157518, [ =( a, X ), ~( 'gCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------