TSTP Solution File: GRP039-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP039-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:34:30 EDT 2022
% Result : Unsatisfiable 19.75s 20.14s
% Output : Refutation 19.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP039-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 18:51:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 19.75/20.14 *** allocated 10000 integers for termspace/termends
% 19.75/20.14 *** allocated 10000 integers for clauses
% 19.75/20.14 *** allocated 10000 integers for justifications
% 19.75/20.14 Bliksem 1.12
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Automatic Strategy Selection
% 19.75/20.14
% 19.75/20.14 Clauses:
% 19.75/20.14 [
% 19.75/20.14 [ product( identity, X, X ) ],
% 19.75/20.14 [ product( X, identity, X ) ],
% 19.75/20.14 [ product( inverse( X ), X, identity ) ],
% 19.75/20.14 [ product( X, inverse( X ), identity ) ],
% 19.75/20.14 [ product( X, Y, multiply( X, Y ) ) ],
% 19.75/20.14 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 19.75/20.14 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 19.75/20.14 ) ), product( X, U, W ) ],
% 19.75/20.14 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 19.75/20.14 ) ), product( Z, T, W ) ],
% 19.75/20.14 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 19.75/20.14 X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ],
% 19.75/20.14 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), =( T, Y ) ],
% 19.75/20.14 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), =( T, X ) ],
% 19.75/20.14 [ =( inverse( inverse( X ) ), X ) ],
% 19.75/20.14 [ 'subgroup_member'( identity ) ],
% 19.75/20.14 [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X ) ) ],
% 19.75/20.14 [ 'subgroup_member'( 'element_in_O2'( X, Y ) ), 'subgroup_member'( Y ),
% 19.75/20.14 'subgroup_member'( X ) ],
% 19.75/20.14 [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'( Y ),
% 19.75/20.14 'subgroup_member'( X ) ],
% 19.75/20.14 [ 'subgroup_member'( b ) ],
% 19.75/20.14 [ product( b, inverse( a ), c ) ],
% 19.75/20.14 [ product( a, c, d ) ],
% 19.75/20.14 [ ~( 'subgroup_member'( d ) ) ]
% 19.75/20.14 ] .
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 percentage equality = 0.100000, percentage horn = 0.900000
% 19.75/20.14 This is a problem with some equality
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Options Used:
% 19.75/20.14
% 19.75/20.14 useres = 1
% 19.75/20.14 useparamod = 1
% 19.75/20.14 useeqrefl = 1
% 19.75/20.14 useeqfact = 1
% 19.75/20.14 usefactor = 1
% 19.75/20.14 usesimpsplitting = 0
% 19.75/20.14 usesimpdemod = 5
% 19.75/20.14 usesimpres = 3
% 19.75/20.14
% 19.75/20.14 resimpinuse = 1000
% 19.75/20.14 resimpclauses = 20000
% 19.75/20.14 substype = eqrewr
% 19.75/20.14 backwardsubs = 1
% 19.75/20.14 selectoldest = 5
% 19.75/20.14
% 19.75/20.14 litorderings [0] = split
% 19.75/20.14 litorderings [1] = extend the termordering, first sorting on arguments
% 19.75/20.14
% 19.75/20.14 termordering = kbo
% 19.75/20.14
% 19.75/20.14 litapriori = 0
% 19.75/20.14 termapriori = 1
% 19.75/20.14 litaposteriori = 0
% 19.75/20.14 termaposteriori = 0
% 19.75/20.14 demodaposteriori = 0
% 19.75/20.14 ordereqreflfact = 0
% 19.75/20.14
% 19.75/20.14 litselect = negord
% 19.75/20.14
% 19.75/20.14 maxweight = 15
% 19.75/20.14 maxdepth = 30000
% 19.75/20.14 maxlength = 115
% 19.75/20.14 maxnrvars = 195
% 19.75/20.14 excuselevel = 1
% 19.75/20.14 increasemaxweight = 1
% 19.75/20.14
% 19.75/20.14 maxselected = 10000000
% 19.75/20.14 maxnrclauses = 10000000
% 19.75/20.14
% 19.75/20.14 showgenerated = 0
% 19.75/20.14 showkept = 0
% 19.75/20.14 showselected = 0
% 19.75/20.14 showdeleted = 0
% 19.75/20.14 showresimp = 1
% 19.75/20.14 showstatus = 2000
% 19.75/20.14
% 19.75/20.14 prologoutput = 1
% 19.75/20.14 nrgoals = 5000000
% 19.75/20.14 totalproof = 1
% 19.75/20.14
% 19.75/20.14 Symbols occurring in the translation:
% 19.75/20.14
% 19.75/20.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 19.75/20.14 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 19.75/20.14 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 19.75/20.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 19.75/20.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 19.75/20.14 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 19.75/20.14 product [41, 3] (w:1, o:58, a:1, s:1, b:0),
% 19.75/20.14 inverse [42, 1] (w:1, o:29, a:1, s:1, b:0),
% 19.75/20.14 multiply [44, 2] (w:1, o:56, a:1, s:1, b:0),
% 19.75/20.14 'subgroup_member' [50, 1] (w:1, o:30, a:1, s:1, b:0),
% 19.75/20.14 'element_in_O2' [54, 2] (w:1, o:57, a:1, s:1, b:0),
% 19.75/20.14 b [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 19.75/20.14 a [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 19.75/20.14 c [57, 0] (w:1, o:22, a:1, s:1, b:0),
% 19.75/20.14 d [58, 0] (w:1, o:23, a:1, s:1, b:0).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Starting Search:
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 5366
% 19.75/20.14 Kept: 2087
% 19.75/20.14 Inuse: 93
% 19.75/20.14 Deleted: 4
% 19.75/20.14 Deletedinuse: 1
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 10732
% 19.75/20.14 Kept: 4129
% 19.75/20.14 Inuse: 136
% 19.75/20.14 Deleted: 25
% 19.75/20.14 Deletedinuse: 21
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 17170
% 19.75/20.14 Kept: 6146
% 19.75/20.14 Inuse: 181
% 19.75/20.14 Deleted: 31
% 19.75/20.14 Deletedinuse: 23
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 24889
% 19.75/20.14 Kept: 8164
% 19.75/20.14 Inuse: 229
% 19.75/20.14 Deleted: 43
% 19.75/20.14 Deletedinuse: 25
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 32705
% 19.75/20.14 Kept: 10192
% 19.75/20.14 Inuse: 287
% 19.75/20.14 Deleted: 92
% 19.75/20.14 Deletedinuse: 66
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 41477
% 19.75/20.14 Kept: 12202
% 19.75/20.14 Inuse: 332
% 19.75/20.14 Deleted: 97
% 19.75/20.14 Deletedinuse: 69
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 49474
% 19.75/20.14 Kept: 14205
% 19.75/20.14 Inuse: 374
% 19.75/20.14 Deleted: 98
% 19.75/20.14 Deletedinuse: 70
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 64746
% 19.75/20.14 Kept: 16232
% 19.75/20.14 Inuse: 415
% 19.75/20.14 Deleted: 140
% 19.75/20.14 Deletedinuse: 70
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 73615
% 19.75/20.14 Kept: 18550
% 19.75/20.14 Inuse: 431
% 19.75/20.14 Deleted: 140
% 19.75/20.14 Deletedinuse: 70
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying clauses:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 84028
% 19.75/20.14 Kept: 20552
% 19.75/20.14 Inuse: 468
% 19.75/20.14 Deleted: 4726
% 19.75/20.14 Deletedinuse: 71
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 90045
% 19.75/20.14 Kept: 22593
% 19.75/20.14 Inuse: 482
% 19.75/20.14 Deleted: 4729
% 19.75/20.14 Deletedinuse: 74
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 97485
% 19.75/20.14 Kept: 24628
% 19.75/20.14 Inuse: 514
% 19.75/20.14 Deleted: 4729
% 19.75/20.14 Deletedinuse: 74
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 105486
% 19.75/20.14 Kept: 26688
% 19.75/20.14 Inuse: 546
% 19.75/20.14 Deleted: 4729
% 19.75/20.14 Deletedinuse: 74
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 113422
% 19.75/20.14 Kept: 28703
% 19.75/20.14 Inuse: 578
% 19.75/20.14 Deleted: 4729
% 19.75/20.14 Deletedinuse: 74
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 125893
% 19.75/20.14 Kept: 30734
% 19.75/20.14 Inuse: 609
% 19.75/20.14 Deleted: 4734
% 19.75/20.14 Deletedinuse: 74
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 137642
% 19.75/20.14 Kept: 32788
% 19.75/20.14 Inuse: 643
% 19.75/20.14 Deleted: 4736
% 19.75/20.14 Deletedinuse: 76
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 155411
% 19.75/20.14 Kept: 34852
% 19.75/20.14 Inuse: 676
% 19.75/20.14 Deleted: 4736
% 19.75/20.14 Deletedinuse: 76
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 163583
% 19.75/20.14 Kept: 36890
% 19.75/20.14 Inuse: 696
% 19.75/20.14 Deleted: 4739
% 19.75/20.14 Deletedinuse: 79
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 172049
% 19.75/20.14 Kept: 38892
% 19.75/20.14 Inuse: 722
% 19.75/20.14 Deleted: 4742
% 19.75/20.14 Deletedinuse: 80
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying clauses:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 180383
% 19.75/20.14 Kept: 40980
% 19.75/20.14 Inuse: 747
% 19.75/20.14 Deleted: 5995
% 19.75/20.14 Deletedinuse: 82
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 192892
% 19.75/20.14 Kept: 43016
% 19.75/20.14 Inuse: 775
% 19.75/20.14 Deleted: 5998
% 19.75/20.14 Deletedinuse: 83
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 202763
% 19.75/20.14 Kept: 45104
% 19.75/20.14 Inuse: 802
% 19.75/20.14 Deleted: 5999
% 19.75/20.14 Deletedinuse: 83
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 212835
% 19.75/20.14 Kept: 47109
% 19.75/20.14 Inuse: 835
% 19.75/20.14 Deleted: 6003
% 19.75/20.14 Deletedinuse: 84
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 225628
% 19.75/20.14 Kept: 49144
% 19.75/20.14 Inuse: 877
% 19.75/20.14 Deleted: 6003
% 19.75/20.14 Deletedinuse: 84
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 238980
% 19.75/20.14 Kept: 51144
% 19.75/20.14 Inuse: 913
% 19.75/20.14 Deleted: 6004
% 19.75/20.14 Deletedinuse: 84
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Intermediate Status:
% 19.75/20.14 Generated: 245372
% 19.75/20.14 Kept: 53158
% 19.75/20.14 Inuse: 932
% 19.75/20.14 Deleted: 6004
% 19.75/20.14 Deletedinuse: 84
% 19.75/20.14
% 19.75/20.14 Resimplifying inuse:
% 19.75/20.14 Done
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 Bliksems!, er is een bewijs:
% 19.75/20.14 % SZS status Unsatisfiable
% 19.75/20.14 % SZS output start Refutation
% 19.75/20.14
% 19.75/20.14 clause( 0, [ product( identity, X, X ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 19.75/20.14 )
% 19.75/20.14 .
% 19.75/20.14 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 19.75/20.14 Z, T, W ) ), product( X, U, W ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 19.75/20.14 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 9, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), =( T, Y ) ]
% 19.75/20.14 )
% 19.75/20.14 .
% 19.75/20.14 clause( 11, [ =( inverse( inverse( X ) ), X ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 13, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X )
% 19.75/20.14 ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 14, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 19.75/20.14 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 15, [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'(
% 19.75/20.14 Y ), 'subgroup_member'( X ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 16, [ 'subgroup_member'( b ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 17, [ product( b, inverse( a ), c ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 18, [ product( a, c, d ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 19, [ ~( 'subgroup_member'( d ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 30, [ 'subgroup_member'( inverse( b ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 31, [ ~( 'subgroup_member'( inverse( X ) ) ), 'subgroup_member'( X
% 19.75/20.14 ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 38, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 40, [ ~( 'subgroup_member'( Y ) ), 'subgroup_member'( X ), ~(
% 19.75/20.14 product( Z, T, inverse( X ) ) ), ~( product( Z, T, Y ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 95, [ ~( product( X, Y, Z ) ), ~( product( identity, Y, T ) ),
% 19.75/20.14 product( inverse( X ), Z, T ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 164, [ product( b, X, c ), ~( product( identity, inverse( a ), X )
% 19.75/20.14 ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 301, [ ~( 'subgroup_member'( X ) ), ~( product( inverse( b ),
% 19.75/20.14 inverse( X ), Y ) ), 'subgroup_member'( Y ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 308, [ ~( 'subgroup_member'( a ) ), 'subgroup_member'( c ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 397, [ ~( product( a, X, d ) ), =( X, c ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 730, [ 'subgroup_member'( 'element_in_O2'( X, d ) ),
% 19.75/20.14 'subgroup_member'( X ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 1230, [ 'subgroup_member'( 'element_in_O2'( a, d ) ),
% 19.75/20.14 'subgroup_member'( c ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 4576, [ =( 'element_in_O2'( a, d ), c ), 'subgroup_member'( a ) ]
% 19.75/20.14 )
% 19.75/20.14 .
% 19.75/20.14 clause( 8208, [ 'subgroup_member'( c ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 8235, [ 'subgroup_member'( inverse( c ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 8236, [ 'subgroup_member'( X ), ~( product( a, X, d ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 8784, [ ~( product( a, inverse( X ), d ) ), 'subgroup_member'( X )
% 19.75/20.14 ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 9414, [ ~( product( a, inverse( X ), d ) ), ~( 'subgroup_member'( Y
% 19.75/20.14 ) ), ~( product( Y, inverse( X ), Z ) ), 'subgroup_member'( Z ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 9444, [ ~( product( a, inverse( X ), d ) ), ~( 'subgroup_member'( a
% 19.75/20.14 ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 9518, [ ~( product( a, X, d ) ), ~( 'subgroup_member'( a ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 9563, [ ~( 'subgroup_member'( a ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 24576, [ ~( product( identity, inverse( a ), X ) ), ~( product(
% 19.75/20.14 identity, X, Y ) ), product( inverse( b ), c, Y ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 24627, [ product( inverse( b ), c, inverse( a ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 24662, [ ~( 'subgroup_member'( X ) ), ~( product( inverse( b ), c,
% 19.75/20.14 X ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 53999, [ ~( product( inverse( b ), c, X ) ) ] )
% 19.75/20.14 .
% 19.75/20.14 clause( 54111, [] )
% 19.75/20.14 .
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 % SZS output end Refutation
% 19.75/20.14 found a proof!
% 19.75/20.14
% 19.75/20.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 19.75/20.14
% 19.75/20.14 initialclauses(
% 19.75/20.14 [ clause( 54113, [ product( identity, X, X ) ] )
% 19.75/20.14 , clause( 54114, [ product( X, identity, X ) ] )
% 19.75/20.14 , clause( 54115, [ product( inverse( X ), X, identity ) ] )
% 19.75/20.14 , clause( 54116, [ product( X, inverse( X ), identity ) ] )
% 19.75/20.14 , clause( 54117, [ product( X, Y, multiply( X, Y ) ) ] )
% 19.75/20.14 , clause( 54118, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 19.75/20.14 T ) ] )
% 19.75/20.14 , clause( 54119, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 19.75/20.14 product( Z, T, W ) ), product( X, U, W ) ] )
% 19.75/20.14 , clause( 54120, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 19.75/20.14 product( X, U, W ) ), product( Z, T, W ) ] )
% 19.75/20.14 , clause( 54121, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) )
% 19.75/20.14 , ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 19.75/20.14 , clause( 54122, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), =( T,
% 19.75/20.14 Y ) ] )
% 19.75/20.14 , clause( 54123, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), =( T,
% 19.75/20.14 X ) ] )
% 19.75/20.14 , clause( 54124, [ =( inverse( inverse( X ) ), X ) ] )
% 19.75/20.14 , clause( 54125, [ 'subgroup_member'( identity ) ] )
% 19.75/20.14 , clause( 54126, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 19.75/20.14 X ) ) ] )
% 19.75/20.14 , clause( 54127, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 19.75/20.14 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 19.75/20.14 , clause( 54128, [ product( X, 'element_in_O2'( X, Y ), Y ),
% 19.75/20.14 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 19.75/20.14 , clause( 54129, [ 'subgroup_member'( b ) ] )
% 19.75/20.14 , clause( 54130, [ product( b, inverse( a ), c ) ] )
% 19.75/20.14 , clause( 54131, [ product( a, c, d ) ] )
% 19.75/20.14 , clause( 54132, [ ~( 'subgroup_member'( d ) ) ] )
% 19.75/20.14 ] ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 0, [ product( identity, X, X ) ] )
% 19.75/20.14 , clause( 54113, [ product( identity, X, X ) ] )
% 19.75/20.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 19.75/20.14 , clause( 54115, [ product( inverse( X ), X, identity ) ] )
% 19.75/20.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 19.75/20.14 )
% 19.75/20.14 , clause( 54118, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 19.75/20.14 T ) ] )
% 19.75/20.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 19.75/20.14 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 19.75/20.14 Z, T, W ) ), product( X, U, W ) ] )
% 19.75/20.14 , clause( 54119, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 19.75/20.14 product( Z, T, W ) ), product( X, U, W ) ] )
% 19.75/20.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 19.75/20.14 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 19.75/20.14 , 2 ), ==>( 3, 3 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 19.75/20.14 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 19.75/20.14 , clause( 54121, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) )
% 19.75/20.14 , ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 19.75/20.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 19.75/20.14 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 19.75/20.14 ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 9, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), =( T, Y ) ]
% 19.75/20.14 )
% 19.75/20.14 , clause( 54122, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), =( T,
% 19.75/20.14 Y ) ] )
% 19.75/20.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 19.75/20.14 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 11, [ =( inverse( inverse( X ) ), X ) ] )
% 19.75/20.14 , clause( 54124, [ =( inverse( inverse( X ) ), X ) ] )
% 19.75/20.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 13, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X )
% 19.75/20.14 ) ] )
% 19.75/20.14 , clause( 54126, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 19.75/20.14 X ) ) ] )
% 19.75/20.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 19.75/20.14 1 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 14, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 19.75/20.14 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 19.75/20.14 , clause( 54127, [ 'subgroup_member'( 'element_in_O2'( X, Y ) ),
% 19.75/20.14 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 19.75/20.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 19.75/20.14 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 15, [ product( X, 'element_in_O2'( X, Y ), Y ), 'subgroup_member'(
% 19.75/20.14 Y ), 'subgroup_member'( X ) ] )
% 19.75/20.14 , clause( 54128, [ product( X, 'element_in_O2'( X, Y ), Y ),
% 19.75/20.14 'subgroup_member'( Y ), 'subgroup_member'( X ) ] )
% 19.75/20.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 19.75/20.14 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 16, [ 'subgroup_member'( b ) ] )
% 19.75/20.14 , clause( 54129, [ 'subgroup_member'( b ) ] )
% 19.75/20.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 17, [ product( b, inverse( a ), c ) ] )
% 19.75/20.14 , clause( 54130, [ product( b, inverse( a ), c ) ] )
% 19.75/20.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 18, [ product( a, c, d ) ] )
% 19.75/20.14 , clause( 54131, [ product( a, c, d ) ] )
% 19.75/20.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 subsumption(
% 19.75/20.14 clause( 19, [ ~( 'subgroup_member'( d ) ) ] )
% 19.75/20.14 , clause( 54132, [ ~( 'subgroup_member'( d ) ) ] )
% 19.75/20.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.75/20.14
% 19.75/20.14
% 19.75/20.14 resolution(
% 19.75/20.14 clause( 54275, [ 'subgroup_member'( inverse( b ) ) ] )
% 19.75/20.14 , clause( 13, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X
% 30.33/30.72 ) ) ] )
% 30.33/30.72 , 0, clause( 16, [ 'subgroup_member'( b ) ] )
% 30.33/30.72 , 0, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 30.33/30.72
% 30.33/30.72
% 30.33/30.72 subsumption(
% 30.33/30.72 clause( 30, [ 'subgroup_member'( inverse( b ) ) ] )
% 30.33/30.72 , clause( 54275, [ 'subgroup_member'( inverse( b ) ) ] )
% 30.33/30.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 30.33/30.72
% 30.33/30.72
% 30.33/30.72 paramod(
% 30.33/30.72 clause( 54277, [ 'subgroup_member'( X ), ~( 'subgroup_member'( inverse( X )
% 30.33/30.72 ) ) ] )
% 30.33/30.72 , clause( 11, [ =( inverse( inverse( X ) ), X ) ] )
% 30.33/30.72 , 0, clause( 13, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 30.33/30.72 X ) ) ] )
% 30.33/30.72 , 1, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 30.33/30.72 X ) )] )).
% 30.33/30.72
% 30.33/30.72
% 30.33/30.72 subsumption(
% 30.33/30.72 clause( 31, [ ~( 'subgroup_member'( inverse( X ) ) ), 'subgroup_member'( X
% 30.33/30.72 ) ] )
% 30.33/30.72 , clause( 54277, [ 'subgroup_member'( X ), ~( 'subgroup_member'( inverse( X
% 30.33/30.72 ) ) ) ] )
% 30.33/30.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 30.33/30.72 0 )] ) ).
% 30.33/30.72
% 30.33/30.72
% 30.33/30.72 resolution(
% 30.33/30.72 clause( 54278, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 30.33/30.72 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 30.33/30.72 ] )
% 30.33/30.72 , 0, clause( 0, [ product( identity, X, X ) ] )
% 30.33/30.72 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 30.33/30.72 )] ), substitution( 1, [ :=( X, X )] )).
% 30.33/30.72
% 30.33/30.72
% 30.33/30.72 subsumption(
% 30.33/30.72 clause( 38, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 30.33/30.72 , clause( 54278, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 30.33/30.72 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 30.33/30.72 ), ==>( 1, 1 )] ) ).
% 30.33/30.72
% 30.33/30.72
% 30.33/30.72 assignments is full
% 30.33/30.72
% 30.33/30.72 Memory use:
% 30.33/30.72
% 30.33/30.72 space for terms: 785341
% 30.33/30.72 space for clauses: 2234581
% 30.33/30.72
% 30.33/30.72
% 30.33/30.72 clauses generated: 248326
% 30.33/30.72 clauses kept: 54112
% 30.33/30.72 clauses selected: 941
% 30.33/30.72 clauses deleted: 6004
% 30.33/30.72 clauses inuse deleted: 84
% 30.33/30.72
% 30.33/30.72 subsentry: 5646707
% 30.33/30.72 literals s-matched: 2255474
% 30.33/30.72 literals matched: 1518133
% 30.33/30.72 full subsumption: 889574
% 30.33/30.72
% 30.33/30.72 checksum: 796315988
% 30.33/30.72
% 30.33/30.72
% 30.33/30.72 Bliksem ended
%------------------------------------------------------------------------------