TSTP Solution File: GRP039-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP039-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:34:31 EDT 2022
% Result : Unsatisfiable 10.34s 10.70s
% Output : Refutation 10.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP039-6 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jun 14 07:13:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 5.63/6.02 *** allocated 10000 integers for termspace/termends
% 5.63/6.02 *** allocated 10000 integers for clauses
% 5.63/6.02 *** allocated 10000 integers for justifications
% 5.63/6.02 Bliksem 1.12
% 5.63/6.02
% 5.63/6.02
% 5.63/6.02 Automatic Strategy Selection
% 5.63/6.02
% 5.63/6.02 Clauses:
% 5.63/6.02 [
% 5.63/6.02 [ ~( equalish( X, Y ) ), ~( 'subgroup_member'( X ) ), 'subgroup_member'(
% 5.63/6.02 Y ) ],
% 5.63/6.02 [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z, T, Y ) ]
% 5.63/6.02 ,
% 5.63/6.02 [ ~( equalish( X, Y ) ), equalish( 'element_in_O2'( Z, X ),
% 5.63/6.02 'element_in_O2'( Z, Y ) ) ],
% 5.63/6.02 [ ~( equalish( X, Y ) ), equalish( 'element_in_O2'( X, Z ),
% 5.63/6.02 'element_in_O2'( Y, Z ) ) ],
% 5.63/6.02 [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X ) ) ],
% 5.63/6.02 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 5.63/6.02 X, Y, Z ) ), 'subgroup_member'( Z ) ],
% 5.63/6.02 [ product( identity, X, X ) ],
% 5.63/6.02 [ product( X, identity, X ) ],
% 5.63/6.02 [ product( inverse( X ), X, identity ) ],
% 5.63/6.02 [ product( X, inverse( X ), identity ) ],
% 5.63/6.02 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 5.63/6.02 ) ), product( X, U, W ) ],
% 5.63/6.02 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 5.63/6.02 ) ), product( Z, T, W ) ],
% 5.63/6.02 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 5.63/6.02 ,
% 5.63/6.02 [ 'subgroup_member'( identity ) ],
% 5.63/6.02 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( T, Y ) ]
% 5.63/6.02 ,
% 5.63/6.02 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( T, X ) ]
% 5.63/6.02 ,
% 5.63/6.02 [ 'subgroup_member'( 'element_in_O2'( X, Y ) ), 'subgroup_member'( Y ),
% 5.63/6.02 'subgroup_member'( X ) ],
% 5.63/6.02 [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'( Y ),
% 5.63/6.02 'subgroup_member'( X ) ],
% 5.63/6.02 [ 'subgroup_member'( b ) ],
% 5.63/6.02 [ product( b, inverse( a ), c ) ],
% 5.63/6.02 [ product( a, c, d ) ],
% 5.63/6.02 [ ~( 'subgroup_member'( d ) ) ]
% 5.63/6.02 ] .
% 5.63/6.02
% 5.63/6.02
% 5.63/6.02 percentage equality = 0.000000, percentage horn = 0.909091
% 5.63/6.02 This is a near-Horn, non-equality problem
% 5.63/6.02
% 5.63/6.02
% 5.63/6.02 Options Used:
% 5.63/6.02
% 5.63/6.02 useres = 1
% 5.63/6.02 useparamod = 0
% 5.63/6.02 useeqrefl = 0
% 5.63/6.02 useeqfact = 0
% 5.63/6.02 usefactor = 1
% 5.63/6.02 usesimpsplitting = 0
% 5.63/6.02 usesimpdemod = 0
% 5.63/6.02 usesimpres = 4
% 5.63/6.02
% 5.63/6.02 resimpinuse = 1000
% 5.63/6.02 resimpclauses = 20000
% 5.63/6.02 substype = standard
% 5.63/6.02 backwardsubs = 1
% 5.63/6.02 selectoldest = 5
% 5.63/6.02
% 5.63/6.02 litorderings [0] = split
% 5.63/6.02 litorderings [1] = liftord
% 5.63/6.02
% 5.63/6.02 termordering = none
% 5.63/6.02
% 5.63/6.02 litapriori = 1
% 5.63/6.02 termapriori = 0
% 5.63/6.02 litaposteriori = 0
% 5.63/6.02 termaposteriori = 0
% 5.63/6.02 demodaposteriori = 0
% 5.63/6.02 ordereqreflfact = 0
% 5.63/6.02
% 5.63/6.02 litselect = negative
% 5.63/6.02
% 5.63/6.02 maxweight = 30000
% 5.63/6.02 maxdepth = 30000
% 5.63/6.02 maxlength = 115
% 5.63/6.02 maxnrvars = 195
% 5.63/6.02 excuselevel = 0
% 5.63/6.02 increasemaxweight = 0
% 5.63/6.02
% 5.63/6.02 maxselected = 10000000
% 5.63/6.02 maxnrclauses = 10000000
% 5.63/6.02
% 5.63/6.02 showgenerated = 0
% 5.63/6.02 showkept = 0
% 5.63/6.02 showselected = 0
% 5.63/6.02 showdeleted = 0
% 5.63/6.02 showresimp = 1
% 5.63/6.02 showstatus = 2000
% 5.63/6.02
% 5.63/6.02 prologoutput = 1
% 5.63/6.02 nrgoals = 5000000
% 5.63/6.02 totalproof = 1
% 5.63/6.02
% 5.63/6.02 Symbols occurring in the translation:
% 5.63/6.02
% 5.63/6.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.63/6.02 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 5.63/6.02 ! [4, 1] (w:1, o:24, a:1, s:1, b:0),
% 5.63/6.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.63/6.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.63/6.02 equalish [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 5.63/6.02 'subgroup_member' [42, 1] (w:1, o:29, a:1, s:1, b:0),
% 5.63/6.02 product [47, 3] (w:1, o:58, a:1, s:1, b:0),
% 5.63/6.02 'element_in_O2' [49, 2] (w:1, o:57, a:1, s:1, b:0),
% 5.63/6.02 inverse [50, 1] (w:1, o:30, a:1, s:1, b:0),
% 5.63/6.02 identity [51, 0] (w:1, o:17, a:1, s:1, b:0),
% 5.63/6.02 b [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 5.63/6.02 a [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 5.63/6.02 c [57, 0] (w:1, o:22, a:1, s:1, b:0),
% 5.63/6.02 d [58, 0] (w:1, o:23, a:1, s:1, b:0).
% 5.63/6.02
% 5.63/6.02
% 5.63/6.02 Starting Search:
% 5.63/6.02
% 5.63/6.02 Resimplifying inuse:
% 5.63/6.02 Done
% 5.63/6.02
% 5.63/6.02
% 5.63/6.02 Intermediate Status:
% 5.63/6.02 Generated: 2490
% 5.63/6.02 Kept: 2129
% 5.63/6.02 Inuse: 141
% 5.63/6.02 Deleted: 6
% 5.63/6.02 Deletedinuse: 1
% 5.63/6.02
% 5.63/6.02 Resimplifying inuse:
% 5.63/6.02 Done
% 5.63/6.02
% 5.63/6.02 Resimplifying inuse:
% 5.63/6.02 Done
% 5.63/6.02
% 5.63/6.02
% 5.63/6.02 Intermediate Status:
% 5.63/6.02 Generated: 5489
% 5.63/6.02 Kept: 4146
% 5.63/6.02 Inuse: 186
% 5.63/6.02 Deleted: 6
% 5.63/6.02 Deletedinuse: 1
% 5.63/6.02
% 5.63/6.02 Resimplifying inuse:
% 5.63/6.02 Done
% 5.63/6.02
% 5.63/6.02 Resimplifying inuse:
% 5.63/6.02 Done
% 5.63/6.02
% 5.63/6.02
% 5.63/6.02 Intermediate Status:
% 5.63/6.02 Generated: 8385
% 5.63/6.02 Kept: 6255
% 5.63/6.02 Inuse: 212
% 5.63/6.02 Deleted: 6
% 5.63/6.02 Deletedinuse: 1
% 5.63/6.02
% 5.63/6.02 Resimplifying inuse:
% 5.63/6.02 Done
% 5.63/6.02
% 5.63/6.02 Resimplifying inuse:
% 5.63/6.02 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 10984
% 10.34/10.70 Kept: 8263
% 10.34/10.70 Inuse: 273
% 10.34/10.70 Deleted: 9
% 10.34/10.70 Deletedinuse: 3
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 15764
% 10.34/10.70 Kept: 11153
% 10.34/10.70 Inuse: 339
% 10.34/10.70 Deleted: 27
% 10.34/10.70 Deletedinuse: 10
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 21477
% 10.34/10.70 Kept: 13337
% 10.34/10.70 Inuse: 379
% 10.34/10.70 Deleted: 27
% 10.34/10.70 Deletedinuse: 10
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 25212
% 10.34/10.70 Kept: 15703
% 10.34/10.70 Inuse: 425
% 10.34/10.70 Deleted: 40
% 10.34/10.70 Deletedinuse: 14
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 29043
% 10.34/10.70 Kept: 17712
% 10.34/10.70 Inuse: 506
% 10.34/10.70 Deleted: 56
% 10.34/10.70 Deletedinuse: 15
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 34024
% 10.34/10.70 Kept: 19914
% 10.34/10.70 Inuse: 677
% 10.34/10.70 Deleted: 74
% 10.34/10.70 Deletedinuse: 25
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying clauses:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 38225
% 10.34/10.70 Kept: 21930
% 10.34/10.70 Inuse: 746
% 10.34/10.70 Deleted: 675
% 10.34/10.70 Deletedinuse: 30
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 41866
% 10.34/10.70 Kept: 23941
% 10.34/10.70 Inuse: 829
% 10.34/10.70 Deleted: 675
% 10.34/10.70 Deletedinuse: 30
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 45602
% 10.34/10.70 Kept: 26220
% 10.34/10.70 Inuse: 872
% 10.34/10.70 Deleted: 675
% 10.34/10.70 Deletedinuse: 30
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 50989
% 10.34/10.70 Kept: 28871
% 10.34/10.70 Inuse: 957
% 10.34/10.70 Deleted: 675
% 10.34/10.70 Deletedinuse: 30
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 55546
% 10.34/10.70 Kept: 31278
% 10.34/10.70 Inuse: 999
% 10.34/10.70 Deleted: 675
% 10.34/10.70 Deletedinuse: 30
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 60567
% 10.34/10.70 Kept: 34131
% 10.34/10.70 Inuse: 1008
% 10.34/10.70 Deleted: 675
% 10.34/10.70 Deletedinuse: 30
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 64169
% 10.34/10.70 Kept: 36133
% 10.34/10.70 Inuse: 1016
% 10.34/10.70 Deleted: 675
% 10.34/10.70 Deletedinuse: 30
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 68564
% 10.34/10.70 Kept: 38749
% 10.34/10.70 Inuse: 1042
% 10.34/10.70 Deleted: 675
% 10.34/10.70 Deletedinuse: 30
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying clauses:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 72594
% 10.34/10.70 Kept: 41029
% 10.34/10.70 Inuse: 1111
% 10.34/10.70 Deleted: 701
% 10.34/10.70 Deletedinuse: 30
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 76043
% 10.34/10.70 Kept: 43089
% 10.34/10.70 Inuse: 1121
% 10.34/10.70 Deleted: 710
% 10.34/10.70 Deletedinuse: 39
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 79955
% 10.34/10.70 Kept: 45247
% 10.34/10.70 Inuse: 1127
% 10.34/10.70 Deleted: 710
% 10.34/10.70 Deletedinuse: 39
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 83651
% 10.34/10.70 Kept: 47252
% 10.34/10.70 Inuse: 1131
% 10.34/10.70 Deleted: 710
% 10.34/10.70 Deletedinuse: 39
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 86914
% 10.34/10.70 Kept: 49392
% 10.34/10.70 Inuse: 1138
% 10.34/10.70 Deleted: 710
% 10.34/10.70 Deletedinuse: 39
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 90793
% 10.34/10.70 Kept: 51513
% 10.34/10.70 Inuse: 1145
% 10.34/10.70 Deleted: 710
% 10.34/10.70 Deletedinuse: 39
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 93958
% 10.34/10.70 Kept: 53580
% 10.34/10.70 Inuse: 1152
% 10.34/10.70 Deleted: 710
% 10.34/10.70 Deletedinuse: 39
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 98782
% 10.34/10.70 Kept: 56342
% 10.34/10.70 Inuse: 1167
% 10.34/10.70 Deleted: 710
% 10.34/10.70 Deletedinuse: 39
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 102011
% 10.34/10.70 Kept: 58442
% 10.34/10.70 Inuse: 1173
% 10.34/10.70 Deleted: 710
% 10.34/10.70 Deletedinuse: 39
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 107455
% 10.34/10.70 Kept: 61569
% 10.34/10.70 Inuse: 1188
% 10.34/10.70 Deleted: 710
% 10.34/10.70 Deletedinuse: 39
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying clauses:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 111237
% 10.34/10.70 Kept: 64097
% 10.34/10.70 Inuse: 1196
% 10.34/10.70 Deleted: 809
% 10.34/10.70 Deletedinuse: 39
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 116045
% 10.34/10.70 Kept: 66445
% 10.34/10.70 Inuse: 1254
% 10.34/10.70 Deleted: 810
% 10.34/10.70 Deletedinuse: 40
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 119623
% 10.34/10.70 Kept: 68726
% 10.34/10.70 Inuse: 1263
% 10.34/10.70 Deleted: 811
% 10.34/10.70 Deletedinuse: 41
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 122913
% 10.34/10.70 Kept: 70867
% 10.34/10.70 Inuse: 1269
% 10.34/10.70 Deleted: 811
% 10.34/10.70 Deletedinuse: 41
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 126522
% 10.34/10.70 Kept: 73190
% 10.34/10.70 Inuse: 1280
% 10.34/10.70 Deleted: 811
% 10.34/10.70 Deletedinuse: 41
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 129806
% 10.34/10.70 Kept: 75303
% 10.34/10.70 Inuse: 1288
% 10.34/10.70 Deleted: 811
% 10.34/10.70 Deletedinuse: 41
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 133335
% 10.34/10.70 Kept: 77324
% 10.34/10.70 Inuse: 1318
% 10.34/10.70 Deleted: 812
% 10.34/10.70 Deletedinuse: 41
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 136742
% 10.34/10.70 Kept: 79492
% 10.34/10.70 Inuse: 1324
% 10.34/10.70 Deleted: 812
% 10.34/10.70 Deletedinuse: 41
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 139980
% 10.34/10.70 Kept: 81581
% 10.34/10.70 Inuse: 1334
% 10.34/10.70 Deleted: 812
% 10.34/10.70 Deletedinuse: 41
% 10.34/10.70
% 10.34/10.70 Resimplifying clauses:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 143309
% 10.34/10.70 Kept: 83745
% 10.34/10.70 Inuse: 1341
% 10.34/10.70 Deleted: 1201
% 10.34/10.70 Deletedinuse: 41
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 146592
% 10.34/10.70 Kept: 85881
% 10.34/10.70 Inuse: 1347
% 10.34/10.70 Deleted: 1201
% 10.34/10.70 Deletedinuse: 41
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Intermediate Status:
% 10.34/10.70 Generated: 150510
% 10.34/10.70 Kept: 87886
% 10.34/10.70 Inuse: 1404
% 10.34/10.70 Deleted: 1201
% 10.34/10.70 Deletedinuse: 41
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70 Resimplifying inuse:
% 10.34/10.70 Done
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Bliksems!, er is een bewijs:
% 10.34/10.70 % SZS status Unsatisfiable
% 10.34/10.70 % SZS output start Refutation
% 10.34/10.70
% 10.34/10.70 clause( 0, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 10.34/10.70 equalish( X, Y ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 4, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X ) )
% 10.34/10.70 ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 5, [ ~( 'subgroup_member'( X ) ), ~( product( X, Y, Z ) ),
% 10.34/10.70 'subgroup_member'( Z ), ~( 'subgroup_member'( Y ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 6, [ product( identity, X, X ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 7, [ product( X, identity, X ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 8, [ product( inverse( X ), X, identity ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 9, [ product( X, inverse( X ), identity ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 10, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 10.34/10.70 , U, W ), ~( product( Z, T, W ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 10.34/10.70 , T, W ), ~( product( Y, T, U ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 14, [ equalish( T, Y ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 10.34/10.70 Z ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 15, [ equalish( T, X ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 10.34/10.70 Z ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 16, [ 'subgroup_member'( Y ), 'subgroup_member'( X ),
% 10.34/10.70 'subgroup_member'( 'element_in_O2'( X, Y ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 17, [ 'subgroup_member'( Y ), 'subgroup_member'( X ), product( X,
% 10.34/10.70 'element_in_O2'( X, Y ), Y ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 18, [ 'subgroup_member'( b ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 19, [ product( b, inverse( a ), c ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 20, [ product( a, c, d ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 21, [ ~( 'subgroup_member'( d ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 39, [ 'subgroup_member'( inverse( b ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 41, [ 'subgroup_member'( inverse( inverse( b ) ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 42, [ 'subgroup_member'( inverse( inverse( inverse( b ) ) ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 46, [ 'subgroup_member'( inverse( inverse( inverse( inverse( b ) )
% 10.34/10.70 ) ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 49, [ ~( product( X, inverse( inverse( inverse( inverse( b ) ) ) )
% 10.34/10.70 , Y ) ), 'subgroup_member'( Y ), ~( 'subgroup_member'( X ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 56, [ ~( product( X, inverse( b ), Y ) ), 'subgroup_member'( Y ),
% 10.34/10.70 ~( 'subgroup_member'( X ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 81, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 10.34/10.70 , identity ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 82, [ ~( product( X, identity, Y ) ), product( Z, Y, T ), ~(
% 10.34/10.70 product( Z, X, T ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 93, [ ~( product( X, identity, T ) ), product( Z, Y, T ), ~(
% 10.34/10.70 product( X, inverse( Y ), Z ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 94, [ ~( product( X, identity, T ) ), product( Z, inverse( Y ), T )
% 10.34/10.70 , ~( product( X, Y, Z ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 97, [ ~( product( X, Y, Z ) ), product( Z, identity, T ), ~(
% 10.34/10.70 product( X, Y, T ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 126, [ equalish( inverse( X ), Y ), ~( product( Y, X, identity ) )
% 10.34/10.70 ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 136, [ 'subgroup_member'( 'element_in_O2'( X, d ) ),
% 10.34/10.70 'subgroup_member'( X ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 154, [ 'subgroup_member'( X ), 'subgroup_member'( Y ), equalish(
% 10.34/10.70 'element_in_O2'( Y, X ), Z ), ~( product( Y, Z, X ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 332, [ equalish( inverse( inverse( X ) ), X ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 340, [ 'subgroup_member'( X ), ~( 'subgroup_member'( inverse(
% 10.34/10.70 inverse( X ) ) ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 7294, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 7296, [ product( identity, Y, X ), ~( product( identity, X, Y ) ) ]
% 10.34/10.70 )
% 10.34/10.70 .
% 10.34/10.70 clause( 7332, [ product( identity, Y, X ), ~( product( X, identity, Y ) ) ]
% 10.34/10.70 )
% 10.34/10.70 .
% 10.34/10.70 clause( 8103, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 8106, [ product( c, a, X ), ~( product( b, identity, X ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 8191, [ product( inverse( inverse( inverse( X ) ) ), X, identity )
% 10.34/10.70 ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 8321, [ product( Y, identity, X ), ~( product( identity, X, Y ) ) ]
% 10.34/10.70 )
% 10.34/10.70 .
% 10.34/10.70 clause( 8464, [ product( inverse( inverse( inverse( inverse( X ) ) ) ),
% 10.34/10.70 identity, X ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 8960, [ product( identity, X, inverse( inverse( inverse( inverse( X
% 10.34/10.70 ) ) ) ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 8980, [ product( identity, inverse( inverse( inverse( inverse( X )
% 10.34/10.70 ) ) ), X ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 12485, [ product( X, identity, inverse( inverse( inverse( inverse(
% 10.34/10.70 X ) ) ) ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 12560, [ product( c, a, inverse( inverse( inverse( inverse( b ) ) )
% 10.34/10.70 ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 12562, [ product( c, a, b ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 12567, [ product( inverse( c ), b, a ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 12580, [ product( a, inverse( b ), X ), ~( product( inverse( c ),
% 10.34/10.70 identity, X ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 12684, [ product( inverse( c ), inverse( inverse( inverse( inverse(
% 10.34/10.70 b ) ) ) ), a ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 13957, [ 'subgroup_member'( a ), equalish( 'element_in_O2'( a, d )
% 10.34/10.70 , c ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 13961, [ 'subgroup_member'( a ), 'subgroup_member'( c ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 14004, [ 'subgroup_member'( a ), 'subgroup_member'( inverse( c ) )
% 10.34/10.70 ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 14090, [ 'subgroup_member'( a ), 'subgroup_member'( X ), ~( product(
% 10.34/10.70 inverse( c ), inverse( inverse( inverse( inverse( b ) ) ) ), X ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 14095, [ 'subgroup_member'( a ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 14127, [ 'subgroup_member'( X ), ~( product( a, inverse( b ), X ) )
% 10.34/10.70 ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 88188, [ product( a, inverse( b ), inverse( c ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 88189, [ 'subgroup_member'( inverse( c ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 88300, [ 'subgroup_member'( inverse( inverse( c ) ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 88394, [ 'subgroup_member'( c ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 88489, [ ~( product( X, c, Y ) ), 'subgroup_member'( Y ), ~(
% 10.34/10.70 'subgroup_member'( X ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 89285, [ 'subgroup_member'( X ), ~( product( a, c, X ) ) ] )
% 10.34/10.70 .
% 10.34/10.70 clause( 89777, [] )
% 10.34/10.70 .
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 % SZS output end Refutation
% 10.34/10.70 found a proof!
% 10.34/10.70
% 10.34/10.70 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 10.34/10.70
% 10.34/10.70 initialclauses(
% 10.34/10.70 [ clause( 89779, [ ~( equalish( X, Y ) ), ~( 'subgroup_member'( X ) ),
% 10.34/10.70 'subgroup_member'( Y ) ] )
% 10.34/10.70 , clause( 89780, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 10.34/10.70 Z, T, Y ) ] )
% 10.34/10.70 , clause( 89781, [ ~( equalish( X, Y ) ), equalish( 'element_in_O2'( Z, X )
% 10.34/10.70 , 'element_in_O2'( Z, Y ) ) ] )
% 10.34/10.70 , clause( 89782, [ ~( equalish( X, Y ) ), equalish( 'element_in_O2'( X, Z )
% 10.34/10.70 , 'element_in_O2'( Y, Z ) ) ] )
% 10.34/10.70 , clause( 89783, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 10.34/10.70 X ) ) ] )
% 10.34/10.70 , clause( 89784, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) )
% 10.34/10.70 , ~( product( X, Y, Z ) ), 'subgroup_member'( Z ) ] )
% 10.34/10.70 , clause( 89785, [ product( identity, X, X ) ] )
% 10.34/10.70 , clause( 89786, [ product( X, identity, X ) ] )
% 10.34/10.70 , clause( 89787, [ product( inverse( X ), X, identity ) ] )
% 10.34/10.70 , clause( 89788, [ product( X, inverse( X ), identity ) ] )
% 10.34/10.70 , clause( 89789, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 10.34/10.70 product( Z, T, W ) ), product( X, U, W ) ] )
% 10.34/10.70 , clause( 89790, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 10.34/10.70 product( X, U, W ) ), product( Z, T, W ) ] )
% 10.34/10.70 , clause( 89791, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 10.34/10.70 equalish( Z, T ) ] )
% 10.34/10.70 , clause( 89792, [ 'subgroup_member'( identity ) ] )
% 10.34/10.70 , clause( 89793, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ),
% 10.34/10.70 equalish( T, Y ) ] )
% 10.34/10.70 , clause( 89794, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ),
% 10.34/10.70 equalish( T, X ) ] )
% 10.34/10.70 , clause( 89795, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 10.34/10.70 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 10.34/10.70 , clause( 89796, [ product( X, 'element_in_O2'( X, Y ), Y ),
% 10.34/10.70 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 10.34/10.70 , clause( 89797, [ 'subgroup_member'( b ) ] )
% 10.34/10.70 , clause( 89798, [ product( b, inverse( a ), c ) ] )
% 10.34/10.70 , clause( 89799, [ product( a, c, d ) ] )
% 10.34/10.70 , clause( 89800, [ ~( 'subgroup_member'( d ) ) ] )
% 10.34/10.70 ] ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 0, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 10.34/10.70 equalish( X, Y ) ) ] )
% 10.34/10.70 , clause( 89779, [ ~( equalish( X, Y ) ), ~( 'subgroup_member'( X ) ),
% 10.34/10.70 'subgroup_member'( Y ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 10.34/10.70 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 4, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X ) )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 89783, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 10.34/10.70 X ) ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 10.34/10.70 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 5, [ ~( 'subgroup_member'( X ) ), ~( product( X, Y, Z ) ),
% 10.34/10.70 'subgroup_member'( Z ), ~( 'subgroup_member'( Y ) ) ] )
% 10.34/10.70 , clause( 89784, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) )
% 10.34/10.70 , ~( product( X, Y, Z ) ), 'subgroup_member'( Z ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.34/10.70 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 6, [ product( identity, X, X ) ] )
% 10.34/10.70 , clause( 89785, [ product( identity, X, X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 7, [ product( X, identity, X ) ] )
% 10.34/10.70 , clause( 89786, [ product( X, identity, X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 8, [ product( inverse( X ), X, identity ) ] )
% 10.34/10.70 , clause( 89787, [ product( inverse( X ), X, identity ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 9, [ product( X, inverse( X ), identity ) ] )
% 10.34/10.70 , clause( 89788, [ product( X, inverse( X ), identity ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 10, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 10.34/10.70 , U, W ), ~( product( Z, T, W ) ) ] )
% 10.34/10.70 , clause( 89789, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 10.34/10.70 product( Z, T, W ) ), product( X, U, W ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 10.34/10.70 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 10.34/10.70 , 3 ), ==>( 3, 2 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 10.34/10.70 , T, W ), ~( product( Y, T, U ) ) ] )
% 10.34/10.70 , clause( 89790, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 10.34/10.70 product( X, U, W ) ), product( Z, T, W ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 10.34/10.70 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 10.34/10.70 , 1 ), ==>( 3, 2 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 14, [ equalish( T, Y ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 10.34/10.70 Z ) ) ] )
% 10.34/10.70 , clause( 89793, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ),
% 10.34/10.70 equalish( T, Y ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 10.34/10.70 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 15, [ equalish( T, X ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 10.34/10.70 Z ) ) ] )
% 10.34/10.70 , clause( 89794, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ),
% 10.34/10.70 equalish( T, X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 10.34/10.70 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 16, [ 'subgroup_member'( Y ), 'subgroup_member'( X ),
% 10.34/10.70 'subgroup_member'( 'element_in_O2'( X, Y ) ) ] )
% 10.34/10.70 , clause( 89795, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 10.34/10.70 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 10.34/10.70 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 17, [ 'subgroup_member'( Y ), 'subgroup_member'( X ), product( X,
% 10.34/10.70 'element_in_O2'( X, Y ), Y ) ] )
% 10.34/10.70 , clause( 89796, [ product( X, 'element_in_O2'( X, Y ), Y ),
% 10.34/10.70 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 10.34/10.70 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 18, [ 'subgroup_member'( b ) ] )
% 10.34/10.70 , clause( 89797, [ 'subgroup_member'( b ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 19, [ product( b, inverse( a ), c ) ] )
% 10.34/10.70 , clause( 89798, [ product( b, inverse( a ), c ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 20, [ product( a, c, d ) ] )
% 10.34/10.70 , clause( 89799, [ product( a, c, d ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 21, [ ~( 'subgroup_member'( d ) ) ] )
% 10.34/10.70 , clause( 89800, [ ~( 'subgroup_member'( d ) ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89926, [ 'subgroup_member'( inverse( b ) ) ] )
% 10.34/10.70 , clause( 4, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X )
% 10.34/10.70 ) ] )
% 10.34/10.70 , 1, clause( 18, [ 'subgroup_member'( b ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 39, [ 'subgroup_member'( inverse( b ) ) ] )
% 10.34/10.70 , clause( 89926, [ 'subgroup_member'( inverse( b ) ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89927, [ 'subgroup_member'( inverse( inverse( b ) ) ) ] )
% 10.34/10.70 , clause( 4, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X )
% 10.34/10.70 ) ] )
% 10.34/10.70 , 1, clause( 39, [ 'subgroup_member'( inverse( b ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( b ) )] ), substitution( 1, [] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 41, [ 'subgroup_member'( inverse( inverse( b ) ) ) ] )
% 10.34/10.70 , clause( 89927, [ 'subgroup_member'( inverse( inverse( b ) ) ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89928, [ 'subgroup_member'( inverse( inverse( inverse( b ) ) ) ) ]
% 10.34/10.70 )
% 10.34/10.70 , clause( 4, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X )
% 10.34/10.70 ) ] )
% 10.34/10.70 , 1, clause( 41, [ 'subgroup_member'( inverse( inverse( b ) ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( inverse( b ) ) )] ), substitution(
% 10.34/10.70 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 42, [ 'subgroup_member'( inverse( inverse( inverse( b ) ) ) ) ] )
% 10.34/10.70 , clause( 89928, [ 'subgroup_member'( inverse( inverse( inverse( b ) ) ) )
% 10.34/10.70 ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89929, [ 'subgroup_member'( inverse( inverse( inverse( inverse( b )
% 10.34/10.70 ) ) ) ) ] )
% 10.34/10.70 , clause( 4, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X )
% 10.34/10.70 ) ] )
% 10.34/10.70 , 1, clause( 42, [ 'subgroup_member'( inverse( inverse( inverse( b ) ) ) )
% 10.34/10.70 ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( inverse( inverse( b ) ) ) )] ),
% 10.34/10.70 substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 46, [ 'subgroup_member'( inverse( inverse( inverse( inverse( b ) )
% 10.34/10.70 ) ) ) ] )
% 10.34/10.70 , clause( 89929, [ 'subgroup_member'( inverse( inverse( inverse( inverse( b
% 10.34/10.70 ) ) ) ) ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89931, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse(
% 10.34/10.70 inverse( inverse( inverse( b ) ) ) ), Y ) ), 'subgroup_member'( Y ) ] )
% 10.34/10.70 , clause( 5, [ ~( 'subgroup_member'( X ) ), ~( product( X, Y, Z ) ),
% 10.34/10.70 'subgroup_member'( Z ), ~( 'subgroup_member'( Y ) ) ] )
% 10.34/10.70 , 3, clause( 46, [ 'subgroup_member'( inverse( inverse( inverse( inverse( b
% 10.34/10.70 ) ) ) ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( inverse( inverse(
% 10.34/10.70 inverse( b ) ) ) ) ), :=( Z, Y )] ), substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 49, [ ~( product( X, inverse( inverse( inverse( inverse( b ) ) ) )
% 10.34/10.70 , Y ) ), 'subgroup_member'( Y ), ~( 'subgroup_member'( X ) ) ] )
% 10.34/10.70 , clause( 89931, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse(
% 10.34/10.70 inverse( inverse( inverse( b ) ) ) ), Y ) ), 'subgroup_member'( Y ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 10.34/10.70 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89933, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( b ),
% 10.34/10.70 Y ) ), 'subgroup_member'( Y ) ] )
% 10.34/10.70 , clause( 5, [ ~( 'subgroup_member'( X ) ), ~( product( X, Y, Z ) ),
% 10.34/10.70 'subgroup_member'( Z ), ~( 'subgroup_member'( Y ) ) ] )
% 10.34/10.70 , 3, clause( 39, [ 'subgroup_member'( inverse( b ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( b ) ), :=( Z, Y )] ),
% 10.34/10.70 substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 56, [ ~( product( X, inverse( b ), Y ) ), 'subgroup_member'( Y ),
% 10.34/10.70 ~( 'subgroup_member'( X ) ) ] )
% 10.34/10.70 , clause( 89933, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( b )
% 10.34/10.70 , Y ) ), 'subgroup_member'( Y ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 10.34/10.70 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89936, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ),
% 10.34/10.70 product( T, Z, Y ) ] )
% 10.34/10.70 , clause( 10, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product(
% 10.34/10.70 X, U, W ), ~( product( Z, T, W ) ) ] )
% 10.34/10.70 , 3, clause( 6, [ product( identity, X, X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, identity ), :=( T, Y
% 10.34/10.70 ), :=( U, Z ), :=( W, Y )] ), substitution( 1, [ :=( X, Y )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 81, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 10.34/10.70 , identity ) ) ] )
% 10.34/10.70 , clause( 89936, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) )
% 10.34/10.70 , product( T, Z, Y ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 10.34/10.70 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89942, [ ~( product( X, identity, Y ) ), ~( product( Z, X, T ) ),
% 10.34/10.70 product( Z, Y, T ) ] )
% 10.34/10.70 , clause( 10, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product(
% 10.34/10.70 X, U, W ), ~( product( Z, T, W ) ) ] )
% 10.34/10.70 , 3, clause( 7, [ product( X, identity, X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, identity
% 10.34/10.70 ), :=( U, Y ), :=( W, T )] ), substitution( 1, [ :=( X, T )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 82, [ ~( product( X, identity, Y ) ), product( Z, Y, T ), ~(
% 10.34/10.70 product( Z, X, T ) ) ] )
% 10.34/10.70 , clause( 89942, [ ~( product( X, identity, Y ) ), ~( product( Z, X, T ) )
% 10.34/10.70 , product( Z, Y, T ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 10.34/10.70 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89947, [ ~( product( X, inverse( Y ), Z ) ), ~( product( X,
% 10.34/10.70 identity, T ) ), product( Z, Y, T ) ] )
% 10.34/10.70 , clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product(
% 10.34/10.70 Z, T, W ), ~( product( Y, T, U ) ) ] )
% 10.34/10.70 , 3, clause( 8, [ product( inverse( X ), X, identity ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, Z ), :=(
% 10.34/10.70 T, Y ), :=( U, identity ), :=( W, T )] ), substitution( 1, [ :=( X, Y )] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 93, [ ~( product( X, identity, T ) ), product( Z, Y, T ), ~(
% 10.34/10.70 product( X, inverse( Y ), Z ) ) ] )
% 10.34/10.70 , clause( 89947, [ ~( product( X, inverse( Y ), Z ) ), ~( product( X,
% 10.34/10.70 identity, T ) ), product( Z, Y, T ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 10.34/10.70 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89951, [ ~( product( X, Y, Z ) ), ~( product( X, identity, T ) ),
% 10.34/10.70 product( Z, inverse( Y ), T ) ] )
% 10.34/10.70 , clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product(
% 10.34/10.70 Z, T, W ), ~( product( Y, T, U ) ) ] )
% 10.34/10.70 , 3, clause( 9, [ product( X, inverse( X ), identity ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, inverse(
% 10.34/10.70 Y ) ), :=( U, identity ), :=( W, T )] ), substitution( 1, [ :=( X, Y )] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 94, [ ~( product( X, identity, T ) ), product( Z, inverse( Y ), T )
% 10.34/10.70 , ~( product( X, Y, Z ) ) ] )
% 10.34/10.70 , clause( 89951, [ ~( product( X, Y, Z ) ), ~( product( X, identity, T ) )
% 10.34/10.70 , product( Z, inverse( Y ), T ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 10.34/10.70 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89956, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product(
% 10.34/10.70 Z, identity, T ) ] )
% 10.34/10.70 , clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product(
% 10.34/10.70 Z, T, W ), ~( product( Y, T, U ) ) ] )
% 10.34/10.70 , 3, clause( 7, [ product( X, identity, X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, identity
% 10.34/10.70 ), :=( U, Y ), :=( W, T )] ), substitution( 1, [ :=( X, Y )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 97, [ ~( product( X, Y, Z ) ), product( Z, identity, T ), ~(
% 10.34/10.70 product( X, Y, T ) ) ] )
% 10.34/10.70 , clause( 89956, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 10.34/10.70 product( Z, identity, T ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 10.34/10.70 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89961, [ equalish( inverse( X ), Y ), ~( product( Y, X, identity )
% 10.34/10.70 ) ] )
% 10.34/10.70 , clause( 15, [ equalish( T, X ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 10.34/10.70 , Z ) ) ] )
% 10.34/10.70 , 2, clause( 8, [ product( inverse( X ), X, identity ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity ), :=( T,
% 10.34/10.70 inverse( X ) )] ), substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 126, [ equalish( inverse( X ), Y ), ~( product( Y, X, identity ) )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 89961, [ equalish( inverse( X ), Y ), ~( product( Y, X, identity
% 10.34/10.70 ) ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.34/10.70 ), ==>( 1, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89962, [ 'subgroup_member'( X ), 'subgroup_member'( 'element_in_O2'(
% 10.34/10.70 X, d ) ) ] )
% 10.34/10.70 , clause( 21, [ ~( 'subgroup_member'( d ) ) ] )
% 10.34/10.70 , 0, clause( 16, [ 'subgroup_member'( Y ), 'subgroup_member'( X ),
% 10.34/10.70 'subgroup_member'( 'element_in_O2'( X, Y ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, d )] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 136, [ 'subgroup_member'( 'element_in_O2'( X, d ) ),
% 10.34/10.70 'subgroup_member'( X ) ] )
% 10.34/10.70 , clause( 89962, [ 'subgroup_member'( X ), 'subgroup_member'(
% 10.34/10.70 'element_in_O2'( X, d ) ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 10.34/10.70 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89965, [ equalish( 'element_in_O2'( X, Y ), Z ), ~( product( X, Z,
% 10.34/10.70 Y ) ), 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 10.34/10.70 , clause( 14, [ equalish( T, Y ), ~( product( X, Y, Z ) ), ~( product( X, T
% 10.34/10.70 , Z ) ) ] )
% 10.34/10.70 , 2, clause( 17, [ 'subgroup_member'( Y ), 'subgroup_member'( X ), product(
% 10.34/10.70 X, 'element_in_O2'( X, Y ), Y ) ] )
% 10.34/10.70 , 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 10.34/10.70 'element_in_O2'( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 154, [ 'subgroup_member'( X ), 'subgroup_member'( Y ), equalish(
% 10.34/10.70 'element_in_O2'( Y, X ), Z ), ~( product( Y, Z, X ) ) ] )
% 10.34/10.70 , clause( 89965, [ equalish( 'element_in_O2'( X, Y ), Z ), ~( product( X, Z
% 10.34/10.70 , Y ) ), 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 10.34/10.70 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 1 )] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89968, [ equalish( inverse( inverse( X ) ), X ) ] )
% 10.34/10.70 , clause( 126, [ equalish( inverse( X ), Y ), ~( product( Y, X, identity )
% 10.34/10.70 ) ] )
% 10.34/10.70 , 1, clause( 9, [ product( X, inverse( X ), identity ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X )] ),
% 10.34/10.70 substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 332, [ equalish( inverse( inverse( X ) ), X ) ] )
% 10.34/10.70 , clause( 89968, [ equalish( inverse( inverse( X ) ), X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89969, [ ~( 'subgroup_member'( inverse( inverse( X ) ) ) ),
% 10.34/10.70 'subgroup_member'( X ) ] )
% 10.34/10.70 , clause( 0, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 10.34/10.70 equalish( X, Y ) ) ] )
% 10.34/10.70 , 2, clause( 332, [ equalish( inverse( inverse( X ) ), X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y, X )] ),
% 10.34/10.70 substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 340, [ 'subgroup_member'( X ), ~( 'subgroup_member'( inverse(
% 10.34/10.70 inverse( X ) ) ) ) ] )
% 10.34/10.70 , clause( 89969, [ ~( 'subgroup_member'( inverse( inverse( X ) ) ) ),
% 10.34/10.70 'subgroup_member'( X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 10.34/10.70 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89971, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ]
% 10.34/10.70 )
% 10.34/10.70 , clause( 81, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T
% 10.34/10.70 , X, identity ) ) ] )
% 10.34/10.70 , 2, clause( 8, [ product( inverse( X ), X, identity ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, inverse(
% 10.34/10.70 X ) )] ), substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 7294, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 10.34/10.70 , clause( 89971, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ]
% 10.34/10.70 )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.34/10.70 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89973, [ ~( product( identity, X, Y ) ), product( identity, Y, X )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 81, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T
% 10.34/10.70 , X, identity ) ) ] )
% 10.34/10.70 , 2, clause( 6, [ product( identity, X, X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y ), :=( T,
% 10.34/10.70 identity )] ), substitution( 1, [ :=( X, identity )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 7296, [ product( identity, Y, X ), ~( product( identity, X, Y ) ) ]
% 10.34/10.70 )
% 10.34/10.70 , clause( 89973, [ ~( product( identity, X, Y ) ), product( identity, Y, X
% 10.34/10.70 ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 10.34/10.70 ), ==>( 1, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89975, [ ~( product( X, identity, Y ) ), product( identity, Y, X )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 82, [ ~( product( X, identity, Y ) ), product( Z, Y, T ), ~(
% 10.34/10.70 product( Z, X, T ) ) ] )
% 10.34/10.70 , 2, clause( 6, [ product( identity, X, X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity ), :=( T, X
% 10.34/10.70 )] ), substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 7332, [ product( identity, Y, X ), ~( product( X, identity, Y ) ) ]
% 10.34/10.70 )
% 10.34/10.70 , clause( 89975, [ ~( product( X, identity, Y ) ), product( identity, Y, X
% 10.34/10.70 ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 10.34/10.70 ), ==>( 1, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89976, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 10.34/10.70 , clause( 7294, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 10.34/10.70 )
% 10.34/10.70 , 1, clause( 8, [ product( inverse( X ), X, identity ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z, identity
% 10.34/10.70 )] ), substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 8103, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 10.34/10.70 , clause( 89976, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89977, [ ~( product( b, identity, X ) ), product( c, a, X ) ] )
% 10.34/10.70 , clause( 93, [ ~( product( X, identity, T ) ), product( Z, Y, T ), ~(
% 10.34/10.70 product( X, inverse( Y ), Z ) ) ] )
% 10.34/10.70 , 2, clause( 19, [ product( b, inverse( a ), c ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, b ), :=( Y, a ), :=( Z, c ), :=( T, X )] ),
% 10.34/10.70 substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 8106, [ product( c, a, X ), ~( product( b, identity, X ) ) ] )
% 10.34/10.70 , clause( 89977, [ ~( product( b, identity, X ) ), product( c, a, X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 10.34/10.70 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89978, [ product( inverse( inverse( inverse( X ) ) ), X, identity )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 7294, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 10.34/10.70 )
% 10.34/10.70 , 1, clause( 8103, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y, identity )
% 10.34/10.70 , :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 8191, [ product( inverse( inverse( inverse( X ) ) ), X, identity )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 89978, [ product( inverse( inverse( inverse( X ) ) ), X, identity
% 10.34/10.70 ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89980, [ ~( product( identity, X, Y ) ), product( Y, identity, X )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 97, [ ~( product( X, Y, Z ) ), product( Z, identity, T ), ~(
% 10.34/10.70 product( X, Y, T ) ) ] )
% 10.34/10.70 , 2, clause( 6, [ product( identity, X, X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y ), :=( T, X
% 10.34/10.70 )] ), substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 8321, [ product( Y, identity, X ), ~( product( identity, X, Y ) ) ]
% 10.34/10.70 )
% 10.34/10.70 , clause( 89980, [ ~( product( identity, X, Y ) ), product( Y, identity, X
% 10.34/10.70 ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 10.34/10.70 ), ==>( 1, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89981, [ product( inverse( inverse( inverse( inverse( X ) ) ) ),
% 10.34/10.70 identity, X ) ] )
% 10.34/10.70 , clause( 7294, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 10.34/10.70 )
% 10.34/10.70 , 1, clause( 8191, [ product( inverse( inverse( inverse( X ) ) ), X,
% 10.34/10.70 identity ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( inverse( inverse( X ) ) ) ), :=( Y
% 10.34/10.70 , X ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 8464, [ product( inverse( inverse( inverse( inverse( X ) ) ) ),
% 10.34/10.70 identity, X ) ] )
% 10.34/10.70 , clause( 89981, [ product( inverse( inverse( inverse( inverse( X ) ) ) ),
% 10.34/10.70 identity, X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89982, [ product( identity, X, inverse( inverse( inverse( inverse(
% 10.34/10.70 X ) ) ) ) ) ] )
% 10.34/10.70 , clause( 7332, [ product( identity, Y, X ), ~( product( X, identity, Y ) )
% 10.34/10.70 ] )
% 10.34/10.70 , 1, clause( 8464, [ product( inverse( inverse( inverse( inverse( X ) ) ) )
% 10.34/10.70 , identity, X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( inverse( inverse( inverse( X ) ) )
% 10.34/10.70 ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 8960, [ product( identity, X, inverse( inverse( inverse( inverse( X
% 10.34/10.70 ) ) ) ) ) ] )
% 10.34/10.70 , clause( 89982, [ product( identity, X, inverse( inverse( inverse( inverse(
% 10.34/10.70 X ) ) ) ) ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89983, [ product( identity, inverse( inverse( inverse( inverse( X )
% 10.34/10.70 ) ) ), X ) ] )
% 10.34/10.70 , clause( 7296, [ product( identity, Y, X ), ~( product( identity, X, Y ) )
% 10.34/10.70 ] )
% 10.34/10.70 , 1, clause( 8960, [ product( identity, X, inverse( inverse( inverse(
% 10.34/10.70 inverse( X ) ) ) ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( inverse( inverse(
% 10.34/10.70 inverse( X ) ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 8980, [ product( identity, inverse( inverse( inverse( inverse( X )
% 10.34/10.70 ) ) ), X ) ] )
% 10.34/10.70 , clause( 89983, [ product( identity, inverse( inverse( inverse( inverse( X
% 10.34/10.70 ) ) ) ), X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89984, [ product( X, identity, inverse( inverse( inverse( inverse(
% 10.34/10.70 X ) ) ) ) ) ] )
% 10.34/10.70 , clause( 8321, [ product( Y, identity, X ), ~( product( identity, X, Y ) )
% 10.34/10.70 ] )
% 10.34/10.70 , 1, clause( 8980, [ product( identity, inverse( inverse( inverse( inverse(
% 10.34/10.70 X ) ) ) ), X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( inverse( inverse( inverse( X ) ) )
% 10.34/10.70 ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 12485, [ product( X, identity, inverse( inverse( inverse( inverse(
% 10.34/10.70 X ) ) ) ) ) ] )
% 10.34/10.70 , clause( 89984, [ product( X, identity, inverse( inverse( inverse( inverse(
% 10.34/10.70 X ) ) ) ) ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89985, [ product( c, a, inverse( inverse( inverse( inverse( b ) ) )
% 10.34/10.70 ) ) ] )
% 10.34/10.70 , clause( 8106, [ product( c, a, X ), ~( product( b, identity, X ) ) ] )
% 10.34/10.70 , 1, clause( 12485, [ product( X, identity, inverse( inverse( inverse(
% 10.34/10.70 inverse( X ) ) ) ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( inverse( inverse( inverse( b ) ) )
% 10.34/10.70 ) )] ), substitution( 1, [ :=( X, b )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 12560, [ product( c, a, inverse( inverse( inverse( inverse( b ) ) )
% 10.34/10.70 ) ) ] )
% 10.34/10.70 , clause( 89985, [ product( c, a, inverse( inverse( inverse( inverse( b ) )
% 10.34/10.70 ) ) ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89986, [ product( c, a, b ) ] )
% 10.34/10.70 , clause( 8106, [ product( c, a, X ), ~( product( b, identity, X ) ) ] )
% 10.34/10.70 , 1, clause( 7, [ product( X, identity, X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, b )] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 12562, [ product( c, a, b ) ] )
% 10.34/10.70 , clause( 89986, [ product( c, a, b ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89987, [ product( inverse( c ), b, a ) ] )
% 10.34/10.70 , clause( 7294, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 10.34/10.70 )
% 10.34/10.70 , 1, clause( 12562, [ product( c, a, b ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, c ), :=( Y, a ), :=( Z, b )] ),
% 10.34/10.70 substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 12567, [ product( inverse( c ), b, a ) ] )
% 10.34/10.70 , clause( 89987, [ product( inverse( c ), b, a ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89988, [ ~( product( inverse( c ), identity, X ) ), product( a,
% 10.34/10.70 inverse( b ), X ) ] )
% 10.34/10.70 , clause( 94, [ ~( product( X, identity, T ) ), product( Z, inverse( Y ), T
% 10.34/10.70 ), ~( product( X, Y, Z ) ) ] )
% 10.34/10.70 , 2, clause( 12567, [ product( inverse( c ), b, a ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( c ) ), :=( Y, b ), :=( Z, a ), :=(
% 10.34/10.70 T, X )] ), substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 12580, [ product( a, inverse( b ), X ), ~( product( inverse( c ),
% 10.34/10.70 identity, X ) ) ] )
% 10.34/10.70 , clause( 89988, [ ~( product( inverse( c ), identity, X ) ), product( a,
% 10.34/10.70 inverse( b ), X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 10.34/10.70 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89989, [ product( inverse( c ), inverse( inverse( inverse( inverse(
% 10.34/10.70 b ) ) ) ), a ) ] )
% 10.34/10.70 , clause( 7294, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 10.34/10.70 )
% 10.34/10.70 , 1, clause( 12560, [ product( c, a, inverse( inverse( inverse( inverse( b
% 10.34/10.70 ) ) ) ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, c ), :=( Y, a ), :=( Z, inverse( inverse(
% 10.34/10.70 inverse( inverse( b ) ) ) ) )] ), substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 12684, [ product( inverse( c ), inverse( inverse( inverse( inverse(
% 10.34/10.70 b ) ) ) ), a ) ] )
% 10.34/10.70 , clause( 89989, [ product( inverse( c ), inverse( inverse( inverse(
% 10.34/10.70 inverse( b ) ) ) ), a ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89990, [ 'subgroup_member'( d ), 'subgroup_member'( a ), equalish(
% 10.34/10.70 'element_in_O2'( a, d ), c ) ] )
% 10.34/10.70 , clause( 154, [ 'subgroup_member'( X ), 'subgroup_member'( Y ), equalish(
% 10.34/10.70 'element_in_O2'( Y, X ), Z ), ~( product( Y, Z, X ) ) ] )
% 10.34/10.70 , 3, clause( 20, [ product( a, c, d ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, d ), :=( Y, a ), :=( Z, c )] ),
% 10.34/10.70 substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89991, [ 'subgroup_member'( a ), equalish( 'element_in_O2'( a, d )
% 10.34/10.70 , c ) ] )
% 10.34/10.70 , clause( 21, [ ~( 'subgroup_member'( d ) ) ] )
% 10.34/10.70 , 0, clause( 89990, [ 'subgroup_member'( d ), 'subgroup_member'( a ),
% 10.34/10.70 equalish( 'element_in_O2'( a, d ), c ) ] )
% 10.34/10.70 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 13957, [ 'subgroup_member'( a ), equalish( 'element_in_O2'( a, d )
% 10.34/10.70 , c ) ] )
% 10.34/10.70 , clause( 89991, [ 'subgroup_member'( a ), equalish( 'element_in_O2'( a, d
% 10.34/10.70 ), c ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89993, [ ~( 'subgroup_member'( 'element_in_O2'( a, d ) ) ),
% 10.34/10.70 'subgroup_member'( c ), 'subgroup_member'( a ) ] )
% 10.34/10.70 , clause( 0, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 10.34/10.70 equalish( X, Y ) ) ] )
% 10.34/10.70 , 2, clause( 13957, [ 'subgroup_member'( a ), equalish( 'element_in_O2'( a
% 10.34/10.70 , d ), c ) ] )
% 10.34/10.70 , 1, substitution( 0, [ :=( X, 'element_in_O2'( a, d ) ), :=( Y, c )] ),
% 10.34/10.70 substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89994, [ 'subgroup_member'( c ), 'subgroup_member'( a ),
% 10.34/10.70 'subgroup_member'( a ) ] )
% 10.34/10.70 , clause( 89993, [ ~( 'subgroup_member'( 'element_in_O2'( a, d ) ) ),
% 10.34/10.70 'subgroup_member'( c ), 'subgroup_member'( a ) ] )
% 10.34/10.70 , 0, clause( 136, [ 'subgroup_member'( 'element_in_O2'( X, d ) ),
% 10.34/10.70 'subgroup_member'( X ) ] )
% 10.34/10.70 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 factor(
% 10.34/10.70 clause( 89995, [ 'subgroup_member'( c ), 'subgroup_member'( a ) ] )
% 10.34/10.70 , clause( 89994, [ 'subgroup_member'( c ), 'subgroup_member'( a ),
% 10.34/10.70 'subgroup_member'( a ) ] )
% 10.34/10.70 , 1, 2, substitution( 0, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 13961, [ 'subgroup_member'( a ), 'subgroup_member'( c ) ] )
% 10.34/10.70 , clause( 89995, [ 'subgroup_member'( c ), 'subgroup_member'( a ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89997, [ 'subgroup_member'( inverse( c ) ), 'subgroup_member'( a )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 4, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X )
% 10.34/10.70 ) ] )
% 10.34/10.70 , 1, clause( 13961, [ 'subgroup_member'( a ), 'subgroup_member'( c ) ] )
% 10.34/10.70 , 1, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 14004, [ 'subgroup_member'( a ), 'subgroup_member'( inverse( c ) )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 89997, [ 'subgroup_member'( inverse( c ) ), 'subgroup_member'( a
% 10.34/10.70 ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 89999, [ ~( product( inverse( c ), inverse( inverse( inverse(
% 10.34/10.70 inverse( b ) ) ) ), X ) ), 'subgroup_member'( X ), 'subgroup_member'( a )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 49, [ ~( product( X, inverse( inverse( inverse( inverse( b ) ) )
% 10.34/10.70 ), Y ) ), 'subgroup_member'( Y ), ~( 'subgroup_member'( X ) ) ] )
% 10.34/10.70 , 2, clause( 14004, [ 'subgroup_member'( a ), 'subgroup_member'( inverse( c
% 10.34/10.70 ) ) ] )
% 10.34/10.70 , 1, substitution( 0, [ :=( X, inverse( c ) ), :=( Y, X )] ),
% 10.34/10.70 substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 14090, [ 'subgroup_member'( a ), 'subgroup_member'( X ), ~( product(
% 10.34/10.70 inverse( c ), inverse( inverse( inverse( inverse( b ) ) ) ), X ) ) ] )
% 10.34/10.70 , clause( 89999, [ ~( product( inverse( c ), inverse( inverse( inverse(
% 10.34/10.70 inverse( b ) ) ) ), X ) ), 'subgroup_member'( X ), 'subgroup_member'( a )
% 10.34/10.70 ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 10.34/10.70 1 ), ==>( 2, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 factor(
% 10.34/10.70 clause( 90002, [ 'subgroup_member'( a ), ~( product( inverse( c ), inverse(
% 10.34/10.70 inverse( inverse( inverse( b ) ) ) ), a ) ) ] )
% 10.34/10.70 , clause( 14090, [ 'subgroup_member'( a ), 'subgroup_member'( X ), ~(
% 10.34/10.70 product( inverse( c ), inverse( inverse( inverse( inverse( b ) ) ) ), X )
% 10.34/10.70 ) ] )
% 10.34/10.70 , 0, 1, substitution( 0, [ :=( X, a )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 90003, [ 'subgroup_member'( a ) ] )
% 10.34/10.70 , clause( 90002, [ 'subgroup_member'( a ), ~( product( inverse( c ),
% 10.34/10.70 inverse( inverse( inverse( inverse( b ) ) ) ), a ) ) ] )
% 10.34/10.70 , 1, clause( 12684, [ product( inverse( c ), inverse( inverse( inverse(
% 10.34/10.70 inverse( b ) ) ) ), a ) ] )
% 10.34/10.70 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 14095, [ 'subgroup_member'( a ) ] )
% 10.34/10.70 , clause( 90003, [ 'subgroup_member'( a ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 90004, [ ~( product( a, inverse( b ), X ) ), 'subgroup_member'( X )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 56, [ ~( product( X, inverse( b ), Y ) ), 'subgroup_member'( Y )
% 10.34/10.70 , ~( 'subgroup_member'( X ) ) ] )
% 10.34/10.70 , 2, clause( 14095, [ 'subgroup_member'( a ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 14127, [ 'subgroup_member'( X ), ~( product( a, inverse( b ), X ) )
% 10.34/10.70 ] )
% 10.34/10.70 , clause( 90004, [ ~( product( a, inverse( b ), X ) ), 'subgroup_member'( X
% 10.34/10.70 ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 10.34/10.70 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 90005, [ product( a, inverse( b ), inverse( c ) ) ] )
% 10.34/10.70 , clause( 12580, [ product( a, inverse( b ), X ), ~( product( inverse( c )
% 10.34/10.70 , identity, X ) ) ] )
% 10.34/10.70 , 1, clause( 7, [ product( X, identity, X ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( c ) )] ), substitution( 1, [ :=( X
% 10.34/10.70 , inverse( c ) )] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 88188, [ product( a, inverse( b ), inverse( c ) ) ] )
% 10.34/10.70 , clause( 90005, [ product( a, inverse( b ), inverse( c ) ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 90006, [ 'subgroup_member'( inverse( c ) ) ] )
% 10.34/10.70 , clause( 14127, [ 'subgroup_member'( X ), ~( product( a, inverse( b ), X )
% 10.34/10.70 ) ] )
% 10.34/10.70 , 1, clause( 88188, [ product( a, inverse( b ), inverse( c ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( c ) )] ), substitution( 1, [] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 88189, [ 'subgroup_member'( inverse( c ) ) ] )
% 10.34/10.70 , clause( 90006, [ 'subgroup_member'( inverse( c ) ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 90007, [ 'subgroup_member'( inverse( inverse( c ) ) ) ] )
% 10.34/10.70 , clause( 4, [ 'subgroup_member'( inverse( X ) ), ~( 'subgroup_member'( X )
% 10.34/10.70 ) ] )
% 10.34/10.70 , 1, clause( 88189, [ 'subgroup_member'( inverse( c ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, inverse( c ) )] ), substitution( 1, [] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 88300, [ 'subgroup_member'( inverse( inverse( c ) ) ) ] )
% 10.34/10.70 , clause( 90007, [ 'subgroup_member'( inverse( inverse( c ) ) ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 90008, [ 'subgroup_member'( c ) ] )
% 10.34/10.70 , clause( 340, [ 'subgroup_member'( X ), ~( 'subgroup_member'( inverse(
% 10.34/10.70 inverse( X ) ) ) ) ] )
% 10.34/10.70 , 1, clause( 88300, [ 'subgroup_member'( inverse( inverse( c ) ) ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 88394, [ 'subgroup_member'( c ) ] )
% 10.34/10.70 , clause( 90008, [ 'subgroup_member'( c ) ] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 90010, [ ~( 'subgroup_member'( X ) ), ~( product( X, c, Y ) ),
% 10.34/10.70 'subgroup_member'( Y ) ] )
% 10.34/10.70 , clause( 5, [ ~( 'subgroup_member'( X ) ), ~( product( X, Y, Z ) ),
% 10.34/10.70 'subgroup_member'( Z ), ~( 'subgroup_member'( Y ) ) ] )
% 10.34/10.70 , 3, clause( 88394, [ 'subgroup_member'( c ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, c ), :=( Z, Y )] ),
% 10.34/10.70 substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 88489, [ ~( product( X, c, Y ) ), 'subgroup_member'( Y ), ~(
% 10.34/10.70 'subgroup_member'( X ) ) ] )
% 10.34/10.70 , clause( 90010, [ ~( 'subgroup_member'( X ) ), ~( product( X, c, Y ) ),
% 10.34/10.70 'subgroup_member'( Y ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 10.34/10.70 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 90011, [ ~( product( a, c, X ) ), 'subgroup_member'( X ) ] )
% 10.34/10.70 , clause( 88489, [ ~( product( X, c, Y ) ), 'subgroup_member'( Y ), ~(
% 10.34/10.70 'subgroup_member'( X ) ) ] )
% 10.34/10.70 , 2, clause( 14095, [ 'subgroup_member'( a ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 10.34/10.70 ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 89285, [ 'subgroup_member'( X ), ~( product( a, c, X ) ) ] )
% 10.34/10.70 , clause( 90011, [ ~( product( a, c, X ) ), 'subgroup_member'( X ) ] )
% 10.34/10.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 10.34/10.70 0 )] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 90012, [ 'subgroup_member'( d ) ] )
% 10.34/10.70 , clause( 89285, [ 'subgroup_member'( X ), ~( product( a, c, X ) ) ] )
% 10.34/10.70 , 1, clause( 20, [ product( a, c, d ) ] )
% 10.34/10.70 , 0, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 resolution(
% 10.34/10.70 clause( 90013, [] )
% 10.34/10.70 , clause( 21, [ ~( 'subgroup_member'( d ) ) ] )
% 10.34/10.70 , 0, clause( 90012, [ 'subgroup_member'( d ) ] )
% 10.34/10.70 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 subsumption(
% 10.34/10.70 clause( 89777, [] )
% 10.34/10.70 , clause( 90013, [] )
% 10.34/10.70 , substitution( 0, [] ), permutation( 0, [] ) ).
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 end.
% 10.34/10.70
% 10.34/10.70 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 10.34/10.70
% 10.34/10.70 Memory use:
% 10.34/10.70
% 10.34/10.70 space for terms: 1664590
% 10.34/10.70 space for clauses: 4525192
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 clauses generated: 155983
% 10.34/10.70 clauses kept: 89778
% 10.34/10.70 clauses selected: 1576
% 10.34/10.70 clauses deleted: 1202
% 10.34/10.70 clauses inuse deleted: 42
% 10.34/10.70
% 10.34/10.70 subsentry: 16509847
% 10.34/10.70 literals s-matched: 3769820
% 10.34/10.70 literals matched: 2557481
% 10.34/10.70 full subsumption: 2066116
% 10.34/10.70
% 10.34/10.70 checksum: 1704613386
% 10.34/10.70
% 10.34/10.70
% 10.34/10.70 Bliksem ended
%------------------------------------------------------------------------------