TSTP Solution File: GRP181-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP181-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:52 EDT 2022
% Result : Unsatisfiable 131.53s 131.93s
% Output : Refutation 131.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP181-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.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 17:34:24 EDT 2022
% 0.18/0.33 % CPUTime :
% 31.44/31.82 *** allocated 10000 integers for termspace/termends
% 31.44/31.82 *** allocated 10000 integers for clauses
% 31.44/31.82 *** allocated 10000 integers for justifications
% 31.44/31.82 Bliksem 1.12
% 31.44/31.82
% 31.44/31.82
% 31.44/31.82 Automatic Strategy Selection
% 31.44/31.82
% 31.44/31.82 Clauses:
% 31.44/31.82 [
% 31.44/31.82 [ =( multiply( identity, X ), X ) ],
% 31.44/31.82 [ =( multiply( inverse( X ), X ), identity ) ],
% 31.44/31.82 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 31.44/31.82 ],
% 31.44/31.82 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 31.44/31.82 ,
% 31.44/31.82 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 31.44/31.82 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 31.44/31.82 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 31.44/31.82 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 31.44/31.82 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 31.44/31.82 [ =( 'least_upper_bound'( X, X ), X ) ],
% 31.44/31.82 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 31.44/31.82 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 31.44/31.82 ,
% 31.44/31.82 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 31.44/31.82 ,
% 31.44/31.82 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 31.44/31.82 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 31.44/31.82 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 31.44/31.82 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 31.44/31.82 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 31.44/31.82 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 31.44/31.82 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 31.44/31.82 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 31.44/31.82 [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'( b, c ) ) ]
% 31.44/31.82 ,
% 31.44/31.82 [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b, c ) ) ],
% 31.44/31.82 [ ~( =( a, b ) ) ]
% 31.44/31.82 ] .
% 31.44/31.82
% 31.44/31.82
% 31.44/31.82 percentage equality = 1.000000, percentage horn = 1.000000
% 31.44/31.82 This is a pure equality problem
% 31.44/31.82
% 31.44/31.82
% 31.44/31.82
% 31.44/31.82 Options Used:
% 31.44/31.82
% 31.44/31.82 useres = 1
% 31.44/31.82 useparamod = 1
% 31.44/31.82 useeqrefl = 1
% 31.44/31.82 useeqfact = 1
% 31.44/31.82 usefactor = 1
% 31.44/31.82 usesimpsplitting = 0
% 31.44/31.82 usesimpdemod = 5
% 31.44/31.82 usesimpres = 3
% 31.44/31.82
% 31.44/31.82 resimpinuse = 1000
% 31.44/31.82 resimpclauses = 20000
% 31.44/31.82 substype = eqrewr
% 31.44/31.82 backwardsubs = 1
% 31.44/31.82 selectoldest = 5
% 31.44/31.82
% 31.44/31.82 litorderings [0] = split
% 31.44/31.82 litorderings [1] = extend the termordering, first sorting on arguments
% 31.44/31.82
% 31.44/31.82 termordering = kbo
% 31.44/31.82
% 31.44/31.82 litapriori = 0
% 31.44/31.82 termapriori = 1
% 31.44/31.82 litaposteriori = 0
% 31.44/31.82 termaposteriori = 0
% 31.44/31.82 demodaposteriori = 0
% 31.44/31.82 ordereqreflfact = 0
% 31.44/31.82
% 31.44/31.82 litselect = negord
% 31.44/31.82
% 31.44/31.82 maxweight = 15
% 31.44/31.82 maxdepth = 30000
% 31.44/31.82 maxlength = 115
% 31.44/31.82 maxnrvars = 195
% 31.44/31.82 excuselevel = 1
% 31.44/31.82 increasemaxweight = 1
% 31.44/31.82
% 31.44/31.82 maxselected = 10000000
% 31.44/31.82 maxnrclauses = 10000000
% 31.44/31.82
% 31.44/31.82 showgenerated = 0
% 31.44/31.82 showkept = 0
% 31.44/31.82 showselected = 0
% 31.44/31.82 showdeleted = 0
% 31.44/31.82 showresimp = 1
% 31.44/31.82 showstatus = 2000
% 31.44/31.82
% 31.44/31.82 prologoutput = 1
% 31.44/31.82 nrgoals = 5000000
% 31.44/31.82 totalproof = 1
% 31.44/31.82
% 31.44/31.82 Symbols occurring in the translation:
% 31.44/31.82
% 31.44/31.82 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 31.44/31.82 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 31.44/31.82 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 31.44/31.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 31.44/31.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 31.44/31.82 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 31.44/31.82 multiply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 31.44/31.82 inverse [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 31.44/31.82 'greatest_lower_bound' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 31.44/31.82 'least_upper_bound' [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 31.44/31.82 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 31.44/31.82 c [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 31.44/31.82 b [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 31.44/31.82
% 31.44/31.82
% 31.44/31.82 Starting Search:
% 31.44/31.82
% 31.44/31.82 Resimplifying inuse:
% 31.44/31.82 Done
% 31.44/31.82
% 31.44/31.82
% 31.44/31.82 Intermediate Status:
% 31.44/31.82 Generated: 21158
% 31.44/31.82 Kept: 2014
% 31.44/31.82 Inuse: 195
% 31.44/31.82 Deleted: 23
% 31.44/31.82 Deletedinuse: 10
% 31.44/31.82
% 31.44/31.82 Resimplifying inuse:
% 31.44/31.82 Done
% 31.44/31.82
% 31.44/31.82 Resimplifying inuse:
% 31.44/31.82 Done
% 31.44/31.82
% 31.44/31.82
% 31.44/31.82 Intermediate Status:
% 31.44/31.82 Generated: 70340
% 31.44/31.82 Kept: 4056
% 31.44/31.82 Inuse: 414
% 31.44/31.82 Deleted: 42
% 31.44/31.82 Deletedinuse: 10
% 31.44/31.82
% 31.44/31.82 Resimplifying inuse:
% 31.44/31.82 Done
% 31.44/31.82
% 31.44/31.82 Resimplifying inuse:
% 31.44/31.82 Done
% 31.44/31.82
% 31.44/31.82
% 31.44/31.82 Intermediate Status:
% 31.44/31.82 Generated: 150053
% 31.44/31.82 Kept: 6066
% 31.44/31.82 Inuse: 624
% 31.44/31.82 Deleted: 62
% 31.44/31.82 Deletedinuse: 10
% 31.44/31.82
% 31.44/31.82 Resimplifying inuse:
% 31.44/31.82 Done
% 31.44/31.82
% 31.44/31.82 Resimplifying inuse:
% 31.44/31.82 Done
% 31.44/31.82
% 31.44/31.82
% 31.44/31.82 Intermediate Status:
% 31.44/31.82 Generated: 212803
% 31.44/31.82 Kept: 8118
% 31.44/31.82 Inuse: 741
% 31.44/31.82 Deleted: 65
% 131.53/131.93 Deletedinuse: 10
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 277107
% 131.53/131.93 Kept: 10133
% 131.53/131.93 Inuse: 874
% 131.53/131.93 Deleted: 142
% 131.53/131.93 Deletedinuse: 80
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 378376
% 131.53/131.93 Kept: 12155
% 131.53/131.93 Inuse: 1042
% 131.53/131.93 Deleted: 168
% 131.53/131.93 Deletedinuse: 91
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 491634
% 131.53/131.93 Kept: 14162
% 131.53/131.93 Inuse: 1153
% 131.53/131.93 Deleted: 172
% 131.53/131.93 Deletedinuse: 91
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 698295
% 131.53/131.93 Kept: 16170
% 131.53/131.93 Inuse: 1348
% 131.53/131.93 Deleted: 221
% 131.53/131.93 Deletedinuse: 91
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 1204915
% 131.53/131.93 Kept: 18170
% 131.53/131.93 Inuse: 1789
% 131.53/131.93 Deleted: 236
% 131.53/131.93 Deletedinuse: 91
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying clauses:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 1848310
% 131.53/131.93 Kept: 20188
% 131.53/131.93 Inuse: 2183
% 131.53/131.93 Deleted: 1818
% 131.53/131.93 Deletedinuse: 91
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 2293411
% 131.53/131.93 Kept: 22266
% 131.53/131.93 Inuse: 2470
% 131.53/131.93 Deleted: 1818
% 131.53/131.93 Deletedinuse: 91
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 3378076
% 131.53/131.93 Kept: 24316
% 131.53/131.93 Inuse: 2858
% 131.53/131.93 Deleted: 1832
% 131.53/131.93 Deletedinuse: 93
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 3905286
% 131.53/131.93 Kept: 26319
% 131.53/131.93 Inuse: 3104
% 131.53/131.93 Deleted: 1832
% 131.53/131.93 Deletedinuse: 93
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 4141698
% 131.53/131.93 Kept: 28406
% 131.53/131.93 Inuse: 3236
% 131.53/131.93 Deleted: 1853
% 131.53/131.93 Deletedinuse: 109
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 4469905
% 131.53/131.93 Kept: 30410
% 131.53/131.93 Inuse: 3431
% 131.53/131.93 Deleted: 1870
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 5722360
% 131.53/131.93 Kept: 32496
% 131.53/131.93 Inuse: 3852
% 131.53/131.93 Deleted: 1879
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 5843779
% 131.53/131.93 Kept: 34877
% 131.53/131.93 Inuse: 3884
% 131.53/131.93 Deleted: 1881
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 5929114
% 131.53/131.93 Kept: 36944
% 131.53/131.93 Inuse: 3904
% 131.53/131.93 Deleted: 1883
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 6092409
% 131.53/131.93 Kept: 38977
% 131.53/131.93 Inuse: 3943
% 131.53/131.93 Deleted: 1884
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying clauses:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 6308321
% 131.53/131.93 Kept: 41042
% 131.53/131.93 Inuse: 4016
% 131.53/131.93 Deleted: 3257
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 6557276
% 131.53/131.93 Kept: 43291
% 131.53/131.93 Inuse: 4076
% 131.53/131.93 Deleted: 3257
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 6745556
% 131.53/131.93 Kept: 45314
% 131.53/131.93 Inuse: 4153
% 131.53/131.93 Deleted: 3271
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 6929169
% 131.53/131.93 Kept: 47442
% 131.53/131.93 Inuse: 4226
% 131.53/131.93 Deleted: 3271
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 7256259
% 131.53/131.93 Kept: 49464
% 131.53/131.93 Inuse: 4348
% 131.53/131.93 Deleted: 3271
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 7689977
% 131.53/131.93 Kept: 51482
% 131.53/131.93 Inuse: 4442
% 131.53/131.93 Deleted: 3271
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 8452335
% 131.53/131.93 Kept: 53493
% 131.53/131.93 Inuse: 4642
% 131.53/131.93 Deleted: 3276
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 9038876
% 131.53/131.93 Kept: 55507
% 131.53/131.93 Inuse: 4863
% 131.53/131.93 Deleted: 3276
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 9899241
% 131.53/131.93 Kept: 57511
% 131.53/131.93 Inuse: 5059
% 131.53/131.93 Deleted: 3276
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 10650611
% 131.53/131.93 Kept: 59518
% 131.53/131.93 Inuse: 5264
% 131.53/131.93 Deleted: 3276
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying clauses:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 11027387
% 131.53/131.93 Kept: 61538
% 131.53/131.93 Inuse: 5423
% 131.53/131.93 Deleted: 4144
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 12013344
% 131.53/131.93 Kept: 63541
% 131.53/131.93 Inuse: 5766
% 131.53/131.93 Deleted: 4145
% 131.53/131.93 Deletedinuse: 125
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 12982346
% 131.53/131.93 Kept: 65546
% 131.53/131.93 Inuse: 5959
% 131.53/131.93 Deleted: 4198
% 131.53/131.93 Deletedinuse: 174
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 14140849
% 131.53/131.93 Kept: 67558
% 131.53/131.93 Inuse: 6304
% 131.53/131.93 Deleted: 4219
% 131.53/131.93 Deletedinuse: 177
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 14801561
% 131.53/131.93 Kept: 69560
% 131.53/131.93 Inuse: 6552
% 131.53/131.93 Deleted: 4228
% 131.53/131.93 Deletedinuse: 177
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 15343467
% 131.53/131.93 Kept: 71574
% 131.53/131.93 Inuse: 6754
% 131.53/131.93 Deleted: 4296
% 131.53/131.93 Deletedinuse: 232
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 16293537
% 131.53/131.93 Kept: 73574
% 131.53/131.93 Inuse: 7051
% 131.53/131.93 Deleted: 4297
% 131.53/131.93 Deletedinuse: 232
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 18692916
% 131.53/131.93 Kept: 75578
% 131.53/131.93 Inuse: 7650
% 131.53/131.93 Deleted: 4307
% 131.53/131.93 Deletedinuse: 232
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 21026475
% 131.53/131.93 Kept: 77585
% 131.53/131.93 Inuse: 8052
% 131.53/131.93 Deleted: 4330
% 131.53/131.93 Deletedinuse: 232
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 24088176
% 131.53/131.93 Kept: 79586
% 131.53/131.93 Inuse: 8719
% 131.53/131.93 Deleted: 4383
% 131.53/131.93 Deletedinuse: 232
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying clauses:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 24971068
% 131.53/131.93 Kept: 81587
% 131.53/131.93 Inuse: 8941
% 131.53/131.93 Deleted: 8846
% 131.53/131.93 Deletedinuse: 304
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 26171743
% 131.53/131.93 Kept: 83587
% 131.53/131.93 Inuse: 9295
% 131.53/131.93 Deleted: 8846
% 131.53/131.93 Deletedinuse: 304
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 28547669
% 131.53/131.93 Kept: 85598
% 131.53/131.93 Inuse: 9910
% 131.53/131.93 Deleted: 8846
% 131.53/131.93 Deletedinuse: 304
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 32339825
% 131.53/131.93 Kept: 87598
% 131.53/131.93 Inuse: 10608
% 131.53/131.93 Deleted: 8872
% 131.53/131.93 Deletedinuse: 304
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 35614720
% 131.53/131.93 Kept: 89621
% 131.53/131.93 Inuse: 11100
% 131.53/131.93 Deleted: 9959
% 131.53/131.93 Deletedinuse: 1379
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93 Resimplifying inuse:
% 131.53/131.93 Done
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Intermediate Status:
% 131.53/131.93 Generated: 36063201
% 131.53/131.93 Kept: 91638
% 131.53/131.93 Inuse: 11205
% 131.53/131.93 Deleted: 11676
% 131.53/131.93 Deletedinuse: 3082
% 131.53/131.93
% 131.53/131.93
% 131.53/131.93 Bliksems!, er is een bewijs:
% 131.53/131.93 % SZS status Unsatisfiable
% 131.53/131.93 % SZS output start Refutation
% 131.53/131.93
% 131.53/131.93 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 131.53/131.93 , Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 131.53/131.93 X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 131.53/131.93 ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 131.53/131.93 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 7, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 131.53/131.93 ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 131.53/131.93 X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 131.53/131.93 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.93 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 131.53/131.93 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.93 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 15, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'( a
% 131.53/131.93 , c ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 16, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c ) )
% 131.53/131.93 ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 17, [ ~( =( b, a ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 18, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 131.53/131.93 , identity ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 19, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 131.53/131.93 identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 20, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 131.53/131.93 ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 131.53/131.93 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.93 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 131.53/131.93 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 38, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), X ),
% 131.53/131.93 'least_upper_bound'( Y, X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 43, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.93 X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 44, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 131.53/131.93 X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 50, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 131.53/131.93 X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 51, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.93 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'( Y, Z ) ),
% 131.53/131.93 'least_upper_bound'( Y, Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 53, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 131.53/131.93 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 56, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 131.53/131.93 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.93 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 62, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 131.53/131.93 X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 131.53/131.93 X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 65, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 131.53/131.93 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 131.53/131.93 'greatest_lower_bound'( Y, Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 66, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 131.53/131.93 X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 67, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.93 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ), Z ),
% 131.53/131.93 'least_upper_bound'( Y, Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 70, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 131.53/131.93 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.93 'greatest_lower_bound'( Y, Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 71, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.93 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), X ), Y ),
% 131.53/131.93 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 76, [ =( 'least_upper_bound'( 'least_upper_bound'( T, multiply( X,
% 131.53/131.93 Y ) ), multiply( X, Z ) ), 'least_upper_bound'( T, multiply( X,
% 131.53/131.93 'least_upper_bound'( Y, Z ) ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 77, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 131.53/131.93 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 78, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 131.53/131.93 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 131.53/131.93 ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 131.53/131.93 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 81, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 131.53/131.93 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 86, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 131.53/131.93 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 89, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X ),
% 131.53/131.93 Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 99, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 131.53/131.93 'least_upper_bound'( Z, X ), Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 100, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 131.53/131.93 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 101, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 131.53/131.93 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 102, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 131.53/131.93 'least_upper_bound'( identity, Y ), X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 103, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 131.53/131.93 'least_upper_bound'( Y, identity ), X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 106, [ =( multiply( inverse( identity ), X ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 115, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 131.53/131.93 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 116, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X )
% 131.53/131.93 , 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 117, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X )
% 131.53/131.93 , 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 118, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 131.53/131.93 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 119, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 131.53/131.93 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 178, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 131.53/131.93 ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.93 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 186, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 131.53/131.93 'least_upper_bound'( identity, Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 187, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 131.53/131.93 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 209, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 235, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y
% 131.53/131.93 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 238, [ =( inverse( identity ), identity ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 252, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 131.53/131.93 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 253, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 131.53/131.93 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 257, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 131.53/131.93 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 131.53/131.93 ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 259, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 131.53/131.93 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 131.53/131.93 ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 261, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z ),
% 131.53/131.93 inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) ) ]
% 131.53/131.93 )
% 131.53/131.93 .
% 131.53/131.93 clause( 262, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 131.53/131.93 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 131.53/131.93 )
% 131.53/131.93 .
% 131.53/131.93 clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 131.53/131.93 ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 131.53/131.93 X, Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 266, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 131.53/131.93 Y ), X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 274, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 131.53/131.93 inverse( X ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 275, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 131.53/131.93 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 131.53/131.93 ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 276, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 131.53/131.93 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 131.53/131.93 ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 277, [ =( multiply( X, 'least_upper_bound'( inverse( multiply( Y, X
% 131.53/131.93 ) ), Z ) ), 'least_upper_bound'( inverse( Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 278, [ =( multiply( X, 'least_upper_bound'( Z, inverse( multiply( Y
% 131.53/131.93 , X ) ) ) ), 'least_upper_bound'( multiply( X, Z ), inverse( Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 436, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.93 'greatest_lower_bound'( Y, X ), Z ), X ), 'least_upper_bound'( X, Z ) ) ]
% 131.53/131.93 )
% 131.53/131.93 .
% 131.53/131.93 clause( 475, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 131.53/131.93 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ), Y ),
% 131.53/131.93 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 515, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 131.53/131.93 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 532, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 131.53/131.93 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 550, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 131.53/131.93 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 567, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 131.53/131.93 'least_upper_bound'( X, Y ) ), identity ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 614, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.93 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 652, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 131.53/131.93 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 659, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 131.53/131.93 identity, Y ) ), X ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 661, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 131.53/131.93 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 668, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 131.53/131.93 Y, identity ) ), X ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 701, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.93 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 706, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.93 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 131.53/131.93 ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 713, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y,
% 131.53/131.93 identity ) ), identity ), inverse( 'greatest_lower_bound'( Y, identity )
% 131.53/131.93 ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 721, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 131.53/131.93 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( Y, X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 731, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.93 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 131.53/131.93 ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 753, [ =( 'least_upper_bound'( X, multiply( X, 'least_upper_bound'(
% 131.53/131.93 Y, identity ) ) ), multiply( X, 'least_upper_bound'( Y, identity ) ) ) ]
% 131.53/131.93 )
% 131.53/131.93 .
% 131.53/131.93 clause( 754, [ =( 'least_upper_bound'( multiply( X, 'least_upper_bound'( Y
% 131.53/131.93 , identity ) ), X ), multiply( X, 'least_upper_bound'( Y, identity ) ) )
% 131.53/131.93 ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 755, [ =( 'greatest_lower_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.93 Y, identity ) ), X ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 757, [ =( 'greatest_lower_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.93 identity, Y ) ), X ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 776, [ =( 'least_upper_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.93 identity, Y ) ), X ), multiply( X, 'least_upper_bound'( identity, Y ) ) )
% 131.53/131.93 ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 784, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 131.53/131.93 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.93 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 786, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X ) )
% 131.53/131.93 , 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 817, [ =( 'greatest_lower_bound'( T, 'least_upper_bound'(
% 131.53/131.93 'least_upper_bound'( X, Z ), Y ) ), 'greatest_lower_bound'(
% 131.53/131.93 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ), T ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 834, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X,
% 131.53/131.93 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ),
% 131.53/131.93 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 874, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( Y,
% 131.53/131.93 identity ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 936, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 131.53/131.93 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 971, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 131.53/131.93 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 973, [ =( 'least_upper_bound'( X, multiply( X, 'least_upper_bound'(
% 131.53/131.93 Y, Z ) ) ), multiply( X, 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.93 identity, Y ), Z ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1008, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 131.53/131.93 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1020, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1031, [ =( multiply( 'least_upper_bound'( multiply( X, inverse( Y )
% 131.53/131.93 ), Z ), Y ), 'least_upper_bound'( X, multiply( Z, Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1069, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 131.53/131.93 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1240, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 131.53/131.93 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1292, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 131.53/131.93 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1516, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 131.53/131.93 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1517, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 131.53/131.93 'least_upper_bound'( X, identity ), Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1518, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 131.53/131.93 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1546, [ =( multiply( Y, inverse( 'least_upper_bound'( Y, multiply(
% 131.53/131.93 X, Y ) ) ) ), inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1556, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 131.53/131.93 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1572, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 131.53/131.93 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1591, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 131.53/131.93 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1616, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 131.53/131.93 , inverse( Y ) ), 'least_upper_bound'( inverse( multiply( Y, X ) ),
% 131.53/131.93 inverse( Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1650, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 131.53/131.93 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1656, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 131.53/131.93 'least_upper_bound'( multiply( Y, inverse( X ) ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1660, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 131.53/131.93 identity ) ), identity ), identity ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1666, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.93 'least_upper_bound'( X, identity ) ) ), identity ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1682, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.93 'least_upper_bound'( 'least_upper_bound'( X, identity ), Y ) ) ),
% 131.53/131.93 identity ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1684, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X )
% 131.53/131.93 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1686, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply( X
% 131.53/131.93 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 131.53/131.93 )
% 131.53/131.93 .
% 131.53/131.93 clause( 1800, [ =( multiply( inverse( X ), 'least_upper_bound'( X, inverse(
% 131.53/131.93 Y ) ) ), 'least_upper_bound'( identity, inverse( multiply( Y, X ) ) ) ) ]
% 131.53/131.93 )
% 131.53/131.93 .
% 131.53/131.93 clause( 1807, [ =( multiply( inverse( multiply( X, Y ) ),
% 131.53/131.93 'least_upper_bound'( multiply( X, Y ), X ) ), 'least_upper_bound'(
% 131.53/131.93 identity, inverse( Y ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1808, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 131.53/131.93 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 131.53/131.93 ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1825, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.93 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1947, [ =( multiply( 'least_upper_bound'( multiply( inverse( X ), Y
% 131.53/131.93 ), identity ), inverse( 'least_upper_bound'( Y, X ) ) ), inverse( X ) )
% 131.53/131.93 ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1952, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 131.53/131.93 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 1977, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Z )
% 131.53/131.93 , 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ), identity ) ]
% 131.53/131.93 )
% 131.53/131.93 .
% 131.53/131.93 clause( 2314, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 131.53/131.93 inverse( Y ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( Y
% 131.53/131.93 , X ) ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 2506, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, Z )
% 131.53/131.93 , inverse( 'least_upper_bound'( 'least_upper_bound'( X, identity ), Y ) )
% 131.53/131.93 ), 'least_upper_bound'( identity, Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 2608, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.93 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( multiply(
% 131.53/131.93 'least_upper_bound'( identity, X ), X ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 2610, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 131.53/131.93 multiply( 'least_upper_bound'( identity, X ), X ) ) ), inverse( X ) ) ]
% 131.53/131.93 )
% 131.53/131.93 .
% 131.53/131.93 clause( 2615, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.93 X ), inverse( 'least_upper_bound'( identity, X ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 2618, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 131.53/131.93 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 131.53/131.93 ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 2643, [ =( multiply( Y, inverse( 'least_upper_bound'( multiply( X,
% 131.53/131.93 Y ), identity ) ) ), inverse( 'least_upper_bound'( X, inverse( Y ) ) ) )
% 131.53/131.93 ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 2741, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 131.53/131.93 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 2746, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 131.53/131.93 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 2751, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 131.53/131.93 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 3022, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity,
% 131.53/131.93 multiply( Y, X ) ) ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y
% 131.53/131.93 ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 3103, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X,
% 131.53/131.93 Y ), identity ) ), 'greatest_lower_bound'( X, inverse( Y ) ) ), inverse(
% 131.53/131.93 Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 3991, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 131.53/131.93 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 131.53/131.93 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 5104, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.93 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 5122, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.93 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 5275, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.93 inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 5297, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.93 identity, inverse( X ) ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8098, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ),
% 131.53/131.93 inverse( Y ) ), 'least_upper_bound'( identity, inverse( multiply( Y, X )
% 131.53/131.93 ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8287, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) ),
% 131.53/131.93 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8556, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 131.53/131.93 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 131.53/131.93 ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8557, [ =( multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.93 identity ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8590, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.93 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8591, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.93 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8634, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.93 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8683, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.93 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8724, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.93 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.93 ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8759, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.93 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 131.53/131.93 ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8760, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 131.53/131.93 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8789, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 131.53/131.93 , inverse( X ) ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8790, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.93 inverse( X ), Y ) ) ), X ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8834, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ),
% 131.53/131.93 inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), 'least_upper_bound'(
% 131.53/131.93 X, Z ) ) ] )
% 131.53/131.93 .
% 131.53/131.93 clause( 8838, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( Y
% 131.53/131.94 , inverse( X ) ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) )
% 131.53/131.94 ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 8876, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 10204, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 131.53/131.94 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 131.53/131.94 Y ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 23026, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 131.53/131.94 identity ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity )
% 131.53/131.94 ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 26934, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.94 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( multiply(
% 131.53/131.94 'least_upper_bound'( identity, X ), X ), identity ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 31873, [ =( inverse( 'least_upper_bound'( X, inverse(
% 131.53/131.94 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 131.53/131.94 identity, X ) ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 31875, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.94 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 31885, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.94 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 31913, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 131.53/131.94 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 31943, [ =( 'least_upper_bound'( inverse( multiply(
% 131.53/131.94 'least_upper_bound'( X, identity ), X ) ), identity ),
% 131.53/131.94 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 32109, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.94 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 131.53/131.94 identity ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 32111, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 131.53/131.94 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 131.53/131.94 ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 32150, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.94 X, inverse( X ) ) ), identity ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 32337, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 32808, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( Y, X ), inverse( Y ) ), identity ), identity ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 33467, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 33468, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 131.53/131.94 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 34107, [ =( 'least_upper_bound'( 'least_upper_bound'( identity,
% 131.53/131.94 inverse( 'greatest_lower_bound'( X, Y ) ) ), X ), 'least_upper_bound'(
% 131.53/131.94 inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 37816, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ), identity ), Y ), 'least_upper_bound'(
% 131.53/131.94 inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 62452, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.94 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( identity, inverse(
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 63399, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.94 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.94 'least_upper_bound'( X, Y ) ), identity ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 63405, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.94 'greatest_lower_bound'( Y, X ) ), identity ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 80474, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 131.53/131.94 , X ) ), X ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.94 ) ), X ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 80527, [ =( 'least_upper_bound'( X, inverse( 'greatest_lower_bound'(
% 131.53/131.94 X, Y ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y, X )
% 131.53/131.94 ), X ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 88842, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.94 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.94 'greatest_lower_bound'( identity, X ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 88871, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 131.53/131.94 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 88904, [ =( multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.94 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 88992, [ =( inverse( 'greatest_lower_bound'( inverse( Y ), X ) ),
% 131.53/131.94 'least_upper_bound'( Y, inverse( X ) ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 89044, [ =( inverse( multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.94 'greatest_lower_bound'( X, identity ) ) ), inverse( X ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 89069, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 131.53/131.94 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 89240, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.94 'least_upper_bound'( X, identity ) ), X ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 89256, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 131.53/131.94 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 89441, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 131.53/131.94 'greatest_lower_bound'( Y, inverse( X ) ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 89613, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 131.53/131.94 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 89951, [ =( multiply( 'least_upper_bound'( multiply( Y, inverse( X
% 131.53/131.94 ) ), identity ), 'greatest_lower_bound'( Y, X ) ), Y ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 90119, [ =( multiply( 'least_upper_bound'( multiply( Y, X ),
% 131.53/131.94 identity ), 'greatest_lower_bound'( Y, inverse( X ) ) ), Y ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 92039, [ =( b, a ) ] )
% 131.53/131.94 .
% 131.53/131.94 clause( 92053, [] )
% 131.53/131.94 .
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 % SZS output end Refutation
% 131.53/131.94 found a proof!
% 131.53/131.94
% 131.53/131.94 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 131.53/131.94
% 131.53/131.94 initialclauses(
% 131.53/131.94 [ clause( 92055, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , clause( 92056, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , clause( 92057, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 131.53/131.94 multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 92058, [ =( 'greatest_lower_bound'( X, Y ),
% 131.53/131.94 'greatest_lower_bound'( Y, X ) ) ] )
% 131.53/131.94 , clause( 92059, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 131.53/131.94 X ) ) ] )
% 131.53/131.94 , clause( 92060, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 131.53/131.94 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 92061, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 131.53/131.94 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , clause( 92062, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 131.53/131.94 , clause( 92063, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 131.53/131.94 , clause( 92064, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 131.53/131.94 ) ), X ) ] )
% 131.53/131.94 , clause( 92065, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 131.53/131.94 ) ), X ) ] )
% 131.53/131.94 , clause( 92066, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 92067, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 92068, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 92069, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 92070, [ =( 'greatest_lower_bound'( a, c ),
% 131.53/131.94 'greatest_lower_bound'( b, c ) ) ] )
% 131.53/131.94 , clause( 92071, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b,
% 131.53/131.94 c ) ) ] )
% 131.53/131.94 , clause( 92072, [ ~( =( a, b ) ) ] )
% 131.53/131.94 ] ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , clause( 92055, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , clause( 92056, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92078, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 131.53/131.94 , Y ), Z ) ) ] )
% 131.53/131.94 , clause( 92057, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 131.53/131.94 multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 131.53/131.94 , Z ) ) ] )
% 131.53/131.94 , clause( 92078, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 131.53/131.94 X, Y ), Z ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 131.53/131.94 X ) ) ] )
% 131.53/131.94 , clause( 92058, [ =( 'greatest_lower_bound'( X, Y ),
% 131.53/131.94 'greatest_lower_bound'( Y, X ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 131.53/131.94 ] )
% 131.53/131.94 , clause( 92059, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 131.53/131.94 X ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 131.53/131.94 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , clause( 92060, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 131.53/131.94 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , clause( 92061, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 131.53/131.94 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 7, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 131.53/131.94 , clause( 92062, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 131.53/131.94 ) ] )
% 131.53/131.94 , clause( 92064, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 131.53/131.94 ) ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 131.53/131.94 X ) ] )
% 131.53/131.94 , clause( 92065, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 131.53/131.94 ) ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92126, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 92066, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 131.53/131.94 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 92126, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 131.53/131.94 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92137, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 131.53/131.94 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 92067, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 92137, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 131.53/131.94 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92149, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , clause( 92068, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 131.53/131.94 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , clause( 92149, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 131.53/131.94 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92162, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 131.53/131.94 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , clause( 92069, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , clause( 92162, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 131.53/131.94 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92176, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'(
% 131.53/131.94 a, c ) ) ] )
% 131.53/131.94 , clause( 92070, [ =( 'greatest_lower_bound'( a, c ),
% 131.53/131.94 'greatest_lower_bound'( b, c ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 15, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'( a
% 131.53/131.94 , c ) ) ] )
% 131.53/131.94 , clause( 92176, [ =( 'greatest_lower_bound'( b, c ),
% 131.53/131.94 'greatest_lower_bound'( a, c ) ) ] )
% 131.53/131.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92191, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 92071, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b,
% 131.53/131.94 c ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 16, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c ) )
% 131.53/131.94 ] )
% 131.53/131.94 , clause( 92191, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a,
% 131.53/131.94 c ) ) ] )
% 131.53/131.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92207, [ ~( =( b, a ) ) ] )
% 131.53/131.94 , clause( 92072, [ ~( =( a, b ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 17, [ ~( =( b, a ) ) ] )
% 131.53/131.94 , clause( 92207, [ ~( =( b, a ) ) ] )
% 131.53/131.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92208, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 131.53/131.94 Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 131.53/131.94 ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92211, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 131.53/131.94 ), identity ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92208, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 131.53/131.94 multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 131.53/131.94 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 18, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 131.53/131.94 , identity ) ] )
% 131.53/131.94 , clause( 92211, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 131.53/131.94 , Y ), identity ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92217, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 131.53/131.94 Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 131.53/131.94 ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92222, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 131.53/131.94 , identity ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92217, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 131.53/131.94 multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 19, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 131.53/131.94 identity ) ) ] )
% 131.53/131.94 , clause( 92222, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 131.53/131.94 X, identity ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92227, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 131.53/131.94 Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 131.53/131.94 ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92232, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , 0, clause( 92227, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 131.53/131.94 multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, identity ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 20, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 131.53/131.94 ] )
% 131.53/131.94 , clause( 92232, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 131.53/131.94 Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92237, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.94 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 131.53/131.94 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92240, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.94 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 131.53/131.94 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , 0, clause( 92237, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 131.53/131.94 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 131.53/131.94 ] )
% 131.53/131.94 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z
% 131.53/131.94 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 131.53/131.94 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 131.53/131.94 , clause( 92240, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 131.53/131.94 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92254, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92257, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 131.53/131.94 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , 0, clause( 92254, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 131.53/131.94 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 131.53/131.94 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 131.53/131.94 , clause( 92257, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 131.53/131.94 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92271, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92276, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , 0, clause( 92271, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 131.53/131.94 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92289, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 131.53/131.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, clause( 92276, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 131.53/131.94 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 131.53/131.94 , clause( 92289, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 131.53/131.94 , 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92291, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92297, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 7, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 131.53/131.94 , 0, clause( 92291, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 131.53/131.94 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, Y ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 38, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), X ),
% 131.53/131.94 'least_upper_bound'( Y, X ) ) ] )
% 131.53/131.94 , clause( 92297, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y )
% 131.53/131.94 , 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92302, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92303, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , 0, clause( 92302, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 131.53/131.94 X, Y ) ) ) ] )
% 131.53/131.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 131.53/131.94 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92306, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 131.53/131.94 ), X ) ] )
% 131.53/131.94 , clause( 92303, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 131.53/131.94 ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 43, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.94 X ) ] )
% 131.53/131.94 , clause( 92306, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 131.53/131.94 X ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92307, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92308, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , 0, clause( 92307, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 131.53/131.94 X, Y ) ) ) ] )
% 131.53/131.94 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92311, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 131.53/131.94 ), X ) ] )
% 131.53/131.94 , clause( 92308, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 131.53/131.94 , X ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 44, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 131.53/131.94 X ) ] )
% 131.53/131.94 , clause( 92311, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 131.53/131.94 ) ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92312, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , clause( 43, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92313, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , 0, clause( 92312, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 131.53/131.94 , Y ), X ) ) ] )
% 131.53/131.94 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92316, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 131.53/131.94 ), X ) ] )
% 131.53/131.94 , clause( 92313, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 131.53/131.94 ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 50, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 131.53/131.94 X ) ] )
% 131.53/131.94 , clause( 92316, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 131.53/131.94 X ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92318, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 131.53/131.94 , Y ) ) ] )
% 131.53/131.94 , clause( 50, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92319, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, clause( 92318, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X
% 131.53/131.94 , Y ), Y ) ) ] )
% 131.53/131.94 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92320, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( Z, X ), Y ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92319, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 51, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( Y, Z ) ) ] )
% 131.53/131.94 , clause( 92320, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( Z, X ), Y ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92322, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.94 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 131.53/131.94 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92327, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 131.53/131.94 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 131.53/131.94 , clause( 50, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, clause( 92322, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 131.53/131.94 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 131.53/131.94 ] )
% 131.53/131.94 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 53, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 131.53/131.94 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 131.53/131.94 , clause( 92327, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 131.53/131.94 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92332, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 44, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92335, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 131.53/131.94 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 131.53/131.94 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, clause( 92332, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 131.53/131.94 Y, X ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92336, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.94 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92335, [ =( 'greatest_lower_bound'( X, Y ),
% 131.53/131.94 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 56, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 131.53/131.94 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92336, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 131.53/131.94 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92338, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92341, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( X, Y ), X ) ) ] )
% 131.53/131.94 , clause( 43, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, clause( 92338, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 131.53/131.94 X, Y ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92342, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92341, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( X, Y ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92342, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 131.53/131.94 , 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92343, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92344, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , 0, clause( 92343, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 131.53/131.94 X, Y ) ) ) ] )
% 131.53/131.94 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92347, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 131.53/131.94 ), X ) ] )
% 131.53/131.94 , clause( 92344, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 131.53/131.94 , X ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 62, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 131.53/131.94 X ) ] )
% 131.53/131.94 , clause( 92347, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 131.53/131.94 ) ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92348, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92349, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , 0, clause( 92348, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 131.53/131.94 X, Y ) ) ) ] )
% 131.53/131.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 131.53/131.94 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92352, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 131.53/131.94 ), X ) ] )
% 131.53/131.94 , clause( 92349, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 131.53/131.94 ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 131.53/131.94 X ) ] )
% 131.53/131.94 , clause( 92352, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 131.53/131.94 X ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92354, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 62, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92355, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 131.53/131.94 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 131.53/131.94 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 131.53/131.94 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, clause( 92354, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 131.53/131.94 Y, X ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92356, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 131.53/131.94 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92355, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 131.53/131.94 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 65, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 131.53/131.94 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 131.53/131.94 'greatest_lower_bound'( Y, Z ) ) ] )
% 131.53/131.94 , clause( 92356, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 131.53/131.94 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92357, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 62, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92358, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , 0, clause( 92357, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 131.53/131.94 Y, X ) ) ) ] )
% 131.53/131.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 131.53/131.94 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92361, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 131.53/131.94 ), X ) ] )
% 131.53/131.94 , clause( 92358, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 131.53/131.94 ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 66, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 131.53/131.94 X ) ] )
% 131.53/131.94 , clause( 92361, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 131.53/131.94 X ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92362, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.94 , Y ) ) ] )
% 131.53/131.94 , clause( 66, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92364, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y
% 131.53/131.94 ) ), X ), Y ) ) ] )
% 131.53/131.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, clause( 92362, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 131.53/131.94 , Y ), Y ) ) ] )
% 131.53/131.94 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( Z,
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92365, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ), X ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92364, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y
% 131.53/131.94 ) ), X ), Y ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 67, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ), Z ),
% 131.53/131.94 'least_upper_bound'( Y, Z ) ) ] )
% 131.53/131.94 , clause( 92365, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ), X ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92367, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.94 , Y ) ) ] )
% 131.53/131.94 , clause( 66, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92368, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 131.53/131.94 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, clause( 92367, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 131.53/131.94 , Y ), Y ) ) ] )
% 131.53/131.94 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92369, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 131.53/131.94 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92368, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 70, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 131.53/131.94 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( Y, Z ) ) ] )
% 131.53/131.94 , clause( 92369, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 131.53/131.94 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92370, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92372, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 131.53/131.94 , Z ), X ), Y ) ) ] )
% 131.53/131.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, clause( 92370, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 131.53/131.94 , Y ), X ) ) ] )
% 131.53/131.94 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'(
% 131.53/131.94 'least_upper_bound'( X, Y ), Z ) ), :=( Y, X ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92373, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), X ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92372, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 131.53/131.94 , Z ), X ), Y ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 71, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), X ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92373, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), X ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92375, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92379, [ =( 'least_upper_bound'( 'least_upper_bound'( X, multiply(
% 131.53/131.94 Y, Z ) ), multiply( Y, T ) ), 'least_upper_bound'( X, multiply( Y,
% 131.53/131.94 'least_upper_bound'( Z, T ) ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, clause( 92375, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 131.53/131.94 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 131.53/131.94 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z, multiply(
% 131.53/131.94 Y, T ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 76, [ =( 'least_upper_bound'( 'least_upper_bound'( T, multiply( X,
% 131.53/131.94 Y ) ), multiply( X, Z ) ), 'least_upper_bound'( T, multiply( X,
% 131.53/131.94 'least_upper_bound'( Y, Z ) ) ) ) ] )
% 131.53/131.94 , clause( 92379, [ =( 'least_upper_bound'( 'least_upper_bound'( X, multiply(
% 131.53/131.94 Y, Z ) ), multiply( Y, T ) ), 'least_upper_bound'( X, multiply( Y,
% 131.53/131.94 'least_upper_bound'( Z, T ) ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92382, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92384, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , 0, clause( 92382, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92386, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 131.53/131.94 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, clause( 92384, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 77, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 131.53/131.94 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 92386, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 131.53/131.94 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92388, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92389, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 131.53/131.94 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 131.53/131.94 ), Z ) ) ] )
% 131.53/131.94 , 0, clause( 92388, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z, T )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92391, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 131.53/131.94 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 92389, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 131.53/131.94 ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X,
% 131.53/131.94 T ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 78, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 131.53/131.94 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 92391, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z )
% 131.53/131.94 , multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 131.53/131.94 , T ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92394, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92396, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.94 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92394, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.94 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92399, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 131.53/131.94 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 92396, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 131.53/131.94 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 131.53/131.94 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 92399, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 131.53/131.94 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92402, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92405, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 131.53/131.94 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92402, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.94 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92408, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 131.53/131.94 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 131.53/131.94 , clause( 92405, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 131.53/131.94 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 81, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 131.53/131.94 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 131.53/131.94 , clause( 92408, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 131.53/131.94 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92409, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 131.53/131.94 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92411, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , 0, clause( 92409, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92413, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 131.53/131.94 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 131.53/131.94 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, clause( 92411, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 86, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 131.53/131.94 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 92413, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92415, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 131.53/131.94 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92417, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 131.53/131.94 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92415, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.94 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92420, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 131.53/131.94 ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 92417, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y
% 131.53/131.94 ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 89, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X ),
% 131.53/131.94 Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 92420, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 131.53/131.94 X ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92422, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92424, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , 0, clause( 92422, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92426, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 131.53/131.94 'least_upper_bound'( Y, X ), Z ) ) ] )
% 131.53/131.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, clause( 92424, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 131.53/131.94 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 99, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 131.53/131.94 'least_upper_bound'( Z, X ), Y ) ) ] )
% 131.53/131.94 , clause( 92426, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 131.53/131.94 'least_upper_bound'( Y, X ), Z ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92428, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92429, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 131.53/131.94 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92428, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.94 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 100, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 131.53/131.94 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 131.53/131.94 , clause( 92429, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X )
% 131.53/131.94 , 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92434, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92436, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92434, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 101, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 131.53/131.94 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 131.53/131.94 , clause( 92436, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y )
% 131.53/131.94 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92440, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92441, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 131.53/131.94 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , 0, clause( 92440, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 131.53/131.94 identity ), :=( Y, Y ), :=( Z, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92443, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 131.53/131.94 'least_upper_bound'( identity, X ), Y ) ) ] )
% 131.53/131.94 , clause( 92441, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 131.53/131.94 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 102, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 131.53/131.94 'least_upper_bound'( identity, Y ), X ) ) ] )
% 131.53/131.94 , clause( 92443, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 131.53/131.94 'least_upper_bound'( identity, X ), Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92446, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92448, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , 0, clause( 92446, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, Y ), :=( Z, identity )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92450, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 131.53/131.94 'least_upper_bound'( X, identity ), Y ) ) ] )
% 131.53/131.94 , clause( 92448, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 103, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 131.53/131.94 'least_upper_bound'( Y, identity ), X ) ) ] )
% 131.53/131.94 , clause( 92450, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 131.53/131.94 'least_upper_bound'( X, identity ), Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92452, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 20, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92455, [ =( multiply( inverse( identity ), X ), multiply( identity
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92452, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 131.53/131.94 ), Y ) ) ] )
% 131.53/131.94 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 131.53/131.94 inverse( identity ) ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92456, [ =( multiply( inverse( identity ), X ), X ) ] )
% 131.53/131.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , 0, clause( 92455, [ =( multiply( inverse( identity ), X ), multiply(
% 131.53/131.94 identity, X ) ) ] )
% 131.53/131.94 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 106, [ =( multiply( inverse( identity ), X ), X ) ] )
% 131.53/131.94 , clause( 92456, [ =( multiply( inverse( identity ), X ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92458, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 131.53/131.94 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92460, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , 0, clause( 92458, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92462, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 131.53/131.94 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 131.53/131.94 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 131.53/131.94 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, clause( 92460, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 131.53/131.94 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 115, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 131.53/131.94 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 131.53/131.94 , clause( 92462, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 131.53/131.94 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92464, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 131.53/131.94 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92465, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X
% 131.53/131.94 ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92464, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.94 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 116, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X )
% 131.53/131.94 , 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 131.53/131.94 , clause( 92465, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ),
% 131.53/131.94 X ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92470, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 131.53/131.94 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92472, [ =( multiply( 'greatest_lower_bound'( X, inverse( Y ) ), Y
% 131.53/131.94 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92470, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 117, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X )
% 131.53/131.94 , 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 131.53/131.94 , clause( 92472, [ =( multiply( 'greatest_lower_bound'( X, inverse( Y ) ),
% 131.53/131.94 Y ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92476, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 131.53/131.94 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92477, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 131.53/131.94 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , 0, clause( 92476, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 131.53/131.94 identity ), :=( Y, Y ), :=( Z, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92479, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 131.53/131.94 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 131.53/131.94 , clause( 92477, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 131.53/131.94 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 118, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 131.53/131.94 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 131.53/131.94 , clause( 92479, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 131.53/131.94 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92482, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 131.53/131.94 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92484, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , 0, clause( 92482, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, Y ), :=( Z, identity )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92486, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 131.53/131.94 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 131.53/131.94 , clause( 92484, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 131.53/131.94 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 119, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 131.53/131.94 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 131.53/131.94 , clause( 92486, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 131.53/131.94 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92488, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 131.53/131.94 Y ) ), Y ) ) ] )
% 131.53/131.94 , clause( 19, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 131.53/131.94 , identity ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92491, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 131.53/131.94 identity, X ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92488, [ =( multiply( X, identity ), multiply( multiply( X,
% 131.53/131.94 inverse( Y ) ), Y ) ) ] )
% 131.53/131.94 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 131.53/131.94 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92492, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 131.53/131.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , 0, clause( 92491, [ =( multiply( inverse( inverse( X ) ), identity ),
% 131.53/131.94 multiply( identity, X ) ) ] )
% 131.53/131.94 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 178, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 131.53/131.94 , clause( 92492, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 131.53/131.94 )
% 131.53/131.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92495, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 20, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92498, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 178, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 131.53/131.94 , 0, clause( 92495, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 131.53/131.94 ), Y ) ) ] )
% 131.53/131.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.94 inverse( X ) ) ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 131.53/131.94 ) ] )
% 131.53/131.94 , clause( 92498, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 131.53/131.94 Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92505, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 131.53/131.94 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92508, [ =( multiply( inverse( inverse( X ) ),
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 131.53/131.94 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 131.53/131.94 , clause( 178, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 131.53/131.94 , 0, clause( 92505, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.94 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92518, [ =( multiply( inverse( inverse( X ) ),
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 131.53/131.94 multiply( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92508, [ =( multiply( inverse( inverse( X ) ),
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 131.53/131.94 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 131.53/131.94 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92520, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 131.53/131.94 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92518, [ =( multiply( inverse( inverse( X ) ),
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 131.53/131.94 multiply( X, Y ) ) ) ] )
% 131.53/131.94 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 131.53/131.94 identity, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92521, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.94 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 131.53/131.94 , clause( 92520, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 131.53/131.94 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.94 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 131.53/131.94 , clause( 92521, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 131.53/131.94 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92523, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92526, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 131.53/131.94 identity, Y ) ), 'least_upper_bound'( X, multiply( inverse( inverse( X )
% 131.53/131.94 ), Y ) ) ) ] )
% 131.53/131.94 , clause( 178, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 131.53/131.94 , 0, clause( 92523, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.94 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92536, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 131.53/131.94 identity, Y ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92526, [ =( multiply( inverse( inverse( X ) ),
% 131.53/131.94 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply(
% 131.53/131.94 inverse( inverse( X ) ), Y ) ) ) ] )
% 131.53/131.94 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92538, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 131.53/131.94 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92536, [ =( multiply( inverse( inverse( X ) ),
% 131.53/131.94 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply( X
% 131.53/131.94 , Y ) ) ) ] )
% 131.53/131.94 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 131.53/131.94 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92539, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 131.53/131.94 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 131.53/131.94 , clause( 92538, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 131.53/131.94 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 186, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 131.53/131.94 'least_upper_bound'( identity, Y ) ) ) ] )
% 131.53/131.94 , clause( 92539, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.94 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92541, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92545, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 131.53/131.94 Y, identity ) ), 'least_upper_bound'( multiply( inverse( inverse( X ) ),
% 131.53/131.94 Y ), X ) ) ] )
% 131.53/131.94 , clause( 178, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 131.53/131.94 , 0, clause( 92541, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.94 inverse( inverse( X ) ) ), :=( Y, Y ), :=( Z, identity )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92547, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 131.53/131.94 Y, identity ) ), 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 131.53/131.94 , clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92545, [ =( multiply( inverse( inverse( X ) ),
% 131.53/131.94 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( multiply(
% 131.53/131.94 inverse( inverse( X ) ), Y ), X ) ) ] )
% 131.53/131.94 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92549, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 131.53/131.94 , clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92547, [ =( multiply( inverse( inverse( X ) ),
% 131.53/131.94 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( multiply( X, Y
% 131.53/131.94 ), X ) ) ] )
% 131.53/131.94 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y,
% 131.53/131.94 identity ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92550, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 131.53/131.94 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.94 , clause( 92549, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 187, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 131.53/131.94 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.94 , clause( 92550, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 131.53/131.94 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92551, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92554, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.94 , clause( 178, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 131.53/131.94 , 0, clause( 92551, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 131.53/131.94 ), Y ) ) ] )
% 131.53/131.94 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, identity )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.94 , clause( 92554, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92559, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92562, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, clause( 92559, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 131.53/131.94 ), Y ) ) ] )
% 131.53/131.94 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, inverse( X ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 209, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.94 , clause( 92562, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92565, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 131.53/131.94 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 131.53/131.94 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92567, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 131.53/131.94 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 131.53/131.94 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , 0, clause( 92565, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 131.53/131.94 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 131.53/131.94 ] )
% 131.53/131.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 235, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y
% 131.53/131.94 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 131.53/131.94 , clause( 92567, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 131.53/131.94 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92582, [ =( X, multiply( X, identity ) ) ] )
% 131.53/131.94 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92585, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 131.53/131.94 , clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92582, [ =( X, multiply( X, identity ) ) ] )
% 131.53/131.94 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 131.53/131.94 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92586, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.94 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.94 , 0, clause( 92585, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 131.53/131.94 ] )
% 131.53/131.94 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.94 , clause( 92586, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92588, [ =( X, multiply( X, identity ) ) ] )
% 131.53/131.94 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92590, [ =( inverse( identity ), identity ) ] )
% 131.53/131.94 , clause( 106, [ =( multiply( inverse( identity ), X ), X ) ] )
% 131.53/131.94 , 0, clause( 92588, [ =( X, multiply( X, identity ) ) ] )
% 131.53/131.94 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 131.53/131.94 inverse( identity ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 238, [ =( inverse( identity ), identity ) ] )
% 131.53/131.94 , clause( 92590, [ =( inverse( identity ), identity ) ] )
% 131.53/131.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92593, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 131.53/131.94 Y ) ), Y ) ) ] )
% 131.53/131.94 , clause( 19, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 131.53/131.94 , identity ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92595, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 131.53/131.94 inverse( Y ) ) ) ] )
% 131.53/131.94 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.94 , 0, clause( 92593, [ =( multiply( X, identity ), multiply( multiply( X,
% 131.53/131.94 inverse( Y ) ), Y ) ) ] )
% 131.53/131.94 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, inverse( Y ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92596, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.94 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.94 , 0, clause( 92595, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 131.53/131.94 ), inverse( Y ) ) ) ] )
% 131.53/131.94 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92597, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 131.53/131.94 , clause( 92596, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.94 , clause( 92597, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92599, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92601, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 131.53/131.94 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 131.53/131.94 , clause( 209, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.94 , 0, clause( 92599, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92604, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 131.53/131.94 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 131.53/131.94 , clause( 92601, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) )
% 131.53/131.94 , 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 252, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 131.53/131.94 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 131.53/131.94 , clause( 92604, [ =( 'least_upper_bound'( identity, multiply( Y, inverse(
% 131.53/131.94 X ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92607, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92610, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 131.53/131.94 , clause( 209, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.94 , 0, clause( 92607, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92613, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 131.53/131.94 identity ), multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.94 , clause( 92610, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) )
% 131.53/131.94 , 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 253, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 131.53/131.94 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 131.53/131.94 , clause( 92613, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 131.53/131.94 identity ), multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92615, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92617, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 131.53/131.94 , clause( 209, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.94 , 0, clause( 92615, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 257, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 131.53/131.94 , clause( 92617, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) )
% 131.53/131.94 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92621, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.94 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92626, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 131.53/131.94 identity, inverse( Y ) ) ) ] )
% 131.53/131.94 , clause( 18, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 131.53/131.94 ), identity ) ] )
% 131.53/131.94 , 0, clause( 92621, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92627, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.94 , 0, clause( 92626, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 131.53/131.94 multiply( identity, inverse( Y ) ) ) ] )
% 131.53/131.94 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 131.53/131.94 ) ] )
% 131.53/131.94 , clause( 92627, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 131.53/131.94 Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92630, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 131.53/131.94 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92631, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 131.53/131.94 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.94 , 0, clause( 92630, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.94 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 259, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 131.53/131.94 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 131.53/131.94 ) ] )
% 131.53/131.94 , clause( 92631, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 131.53/131.94 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92636, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92637, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z ),
% 131.53/131.94 inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.94 , 0, clause( 92636, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.94 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 261, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z ),
% 131.53/131.94 inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 92637, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z )
% 131.53/131.94 , inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) )
% 131.53/131.94 ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92642, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92644, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 131.53/131.94 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.94 , 0, clause( 92642, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 262, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 131.53/131.94 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 92644, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 131.53/131.94 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 131.53/131.94 ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92647, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92651, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 131.53/131.94 inverse( multiply( X, Y ) ) ) ) ] )
% 131.53/131.94 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92647, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 131.53/131.94 ), X ) ) ] )
% 131.53/131.94 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92652, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 181, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92651, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 131.53/131.94 inverse( multiply( X, Y ) ) ) ) ] )
% 131.53/131.94 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 131.53/131.94 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92653, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 92652, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 131.53/131.94 ) ] )
% 131.53/131.94 , clause( 92653, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 131.53/131.94 X ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92655, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.94 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92658, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 131.53/131.94 inverse( X ) ) ) ] )
% 131.53/131.94 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92655, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92659, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.94 multiply( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 92658, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 131.53/131.94 inverse( X ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 131.53/131.94 X, Y ) ) ) ] )
% 131.53/131.94 , clause( 92659, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.94 multiply( X, Y ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92661, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 131.53/131.94 Y ) ), Y ) ) ] )
% 131.53/131.94 , clause( 19, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 131.53/131.94 , identity ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92667, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 131.53/131.94 identity ), multiply( inverse( Y ), X ) ) ] )
% 131.53/131.94 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92661, [ =( multiply( X, identity ), multiply( multiply( X,
% 131.53/131.94 inverse( Y ) ), Y ) ) ] )
% 131.53/131.94 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, inverse( multiply( inverse( X ), Y ) ) ), :=( Y
% 131.53/131.94 , X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92668, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 131.53/131.94 inverse( Y ), X ) ) ] )
% 131.53/131.94 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.94 , 0, clause( 92667, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 131.53/131.94 identity ), multiply( inverse( Y ), X ) ) ] )
% 131.53/131.94 , 0, 1, substitution( 0, [ :=( X, inverse( multiply( inverse( X ), Y ) ) )] )
% 131.53/131.94 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 266, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 131.53/131.94 Y ), X ) ) ] )
% 131.53/131.94 , clause( 92668, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 131.53/131.94 inverse( Y ), X ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92671, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92676, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 131.53/131.94 inverse( multiply( X, identity ) ) ) ) ] )
% 131.53/131.94 , clause( 19, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 131.53/131.94 , identity ) ) ] )
% 131.53/131.94 , 0, clause( 92671, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.94 ) ) ) ) ] )
% 131.53/131.94 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.94 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92677, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 131.53/131.94 inverse( X ) ) ) ] )
% 131.53/131.94 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.94 , 0, clause( 92676, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 131.53/131.94 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 131.53/131.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 274, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 131.53/131.94 inverse( X ) ) ) ] )
% 131.53/131.94 , clause( 92677, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 131.53/131.94 inverse( X ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92680, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 131.53/131.94 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92681, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 131.53/131.94 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 131.53/131.94 ) ] )
% 131.53/131.94 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92680, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, inverse( multiply( Y, X ) ) ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 275, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 131.53/131.94 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 131.53/131.94 ) ] )
% 131.53/131.94 , clause( 92681, [ =( multiply( X, 'greatest_lower_bound'( inverse(
% 131.53/131.94 multiply( Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply(
% 131.53/131.94 X, Z ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92686, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 131.53/131.94 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92688, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 131.53/131.94 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 131.53/131.94 Z ) ) ) ] )
% 131.53/131.94 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92686, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Z, X ) ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 276, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 131.53/131.94 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 131.53/131.94 ] )
% 131.53/131.94 , clause( 92688, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 131.53/131.94 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 131.53/131.94 Z ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92692, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92693, [ =( multiply( X, 'least_upper_bound'( inverse( multiply( Y
% 131.53/131.94 , X ) ), Z ) ), 'least_upper_bound'( inverse( Y ), multiply( X, Z ) ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92692, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, inverse( multiply( Y, X ) ) ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 277, [ =( multiply( X, 'least_upper_bound'( inverse( multiply( Y, X
% 131.53/131.94 ) ), Z ) ), 'least_upper_bound'( inverse( Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 92693, [ =( multiply( X, 'least_upper_bound'( inverse( multiply(
% 131.53/131.94 Y, X ) ), Z ) ), 'least_upper_bound'( inverse( Y ), multiply( X, Z ) ) )
% 131.53/131.94 ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92698, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92700, [ =( multiply( X, 'least_upper_bound'( Y, inverse( multiply(
% 131.53/131.94 Z, X ) ) ) ), 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92698, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.94 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Z, X ) ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 278, [ =( multiply( X, 'least_upper_bound'( Z, inverse( multiply( Y
% 131.53/131.94 , X ) ) ) ), 'least_upper_bound'( multiply( X, Z ), inverse( Y ) ) ) ] )
% 131.53/131.94 , clause( 92700, [ =( multiply( X, 'least_upper_bound'( Y, inverse(
% 131.53/131.94 multiply( Z, X ) ) ) ), 'least_upper_bound'( multiply( X, Y ), inverse( Z
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92704, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92720, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( X, Y ), Z ), Y ), 'least_upper_bound'( Y, Z ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 62, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, clause( 92704, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 131.53/131.94 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.94 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.94 :=( X, Y ), :=( Y, 'greatest_lower_bound'( X, Y ) ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 436, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( Y, X ), Z ), X ), 'least_upper_bound'( X, Z ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , clause( 92720, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.94 'greatest_lower_bound'( X, Y ), Z ), Y ), 'least_upper_bound'( Y, Z ) ) ]
% 131.53/131.94 )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92725, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 131.53/131.94 ) ) ) ] )
% 131.53/131.94 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92726, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 131.53/131.94 ), Z ) ), Y ) ) ] )
% 131.53/131.94 , clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 131.53/131.94 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 131.53/131.94 , 0, clause( 92725, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 131.53/131.94 X, Y ) ) ) ] )
% 131.53/131.94 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'(
% 131.53/131.94 'least_upper_bound'( X, Y ), Z ) ), :=( Y, Y ), :=( Z, X )] ),
% 131.53/131.94 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92729, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 131.53/131.94 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92726, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 131.53/131.94 ), Z ) ), Y ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 475, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 131.53/131.94 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , clause( 92729, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 131.53/131.94 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ), Y ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92730, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92733, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 131.53/131.94 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 131.53/131.94 , clause( 115, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 131.53/131.94 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 131.53/131.94 , 0, clause( 92730, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.94 ) ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92736, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 131.53/131.94 'greatest_lower_bound'( Y, X ) ) ) ] )
% 131.53/131.94 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92733, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.94 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 131.53/131.94 ] )
% 131.53/131.94 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 131.53/131.94 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 515, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 92736, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 131.53/131.94 'greatest_lower_bound'( Y, X ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92737, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92738, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 131.53/131.94 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 515, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , 0, clause( 92737, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 131.53/131.94 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.94 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92741, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.94 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 131.53/131.94 , clause( 92738, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 131.53/131.94 Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 532, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 131.53/131.94 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 131.53/131.94 , clause( 92741, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.94 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92742, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92745, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 131.53/131.94 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 131.53/131.94 , clause( 99, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 131.53/131.94 'least_upper_bound'( Z, X ), Y ) ) ] )
% 131.53/131.94 , 0, clause( 92742, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.94 ) ) ) ) ] )
% 131.53/131.94 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 131.53/131.94 ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92748, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 131.53/131.94 'least_upper_bound'( Y, X ) ) ) ] )
% 131.53/131.94 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92745, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 131.53/131.94 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 131.53/131.94 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 131.53/131.94 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 550, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 92748, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 131.53/131.94 'least_upper_bound'( Y, X ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92749, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 131.53/131.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92750, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 131.53/131.94 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 550, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , 0, clause( 92749, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 131.53/131.94 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.94 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92753, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 131.53/131.94 'least_upper_bound'( Y, X ) ), identity ) ] )
% 131.53/131.94 , clause( 92750, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 131.53/131.94 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 567, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ), identity ) ] )
% 131.53/131.94 , clause( 92753, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 131.53/131.94 'least_upper_bound'( Y, X ) ), identity ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92754, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 131.53/131.94 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.94 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92755, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.94 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 131.53/131.94 , clause( 92754, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 131.53/131.94 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , 0, clause( 86, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.94 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 614, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.94 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 131.53/131.94 , clause( 92755, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 131.53/131.94 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92758, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 131.53/131.94 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.94 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92777, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( multiply(
% 131.53/131.94 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 131.53/131.94 , clause( 18, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 131.53/131.94 ), identity ) ] )
% 131.53/131.94 , 0, clause( 92758, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 131.53/131.94 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92779, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( inverse(
% 131.53/131.94 Y ), identity ) ) ] )
% 131.53/131.94 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92777, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 131.53/131.94 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 131.53/131.94 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 131.53/131.94 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92780, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 131.53/131.94 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.94 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.94 ) ) ] )
% 131.53/131.94 , 0, clause( 92779, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 131.53/131.94 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 131.53/131.94 inverse( Y ), identity ) ) ] )
% 131.53/131.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 652, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 131.53/131.94 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.94 , clause( 92780, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 131.53/131.94 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92785, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.94 , X ) ) ] )
% 131.53/131.94 , clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92786, [ =( X, 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 131.53/131.94 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.94 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 131.53/131.94 , 0, clause( 92785, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 131.53/131.94 , Y ), X ) ) ] )
% 131.53/131.94 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.94 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92787, [ =( 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 131.53/131.94 , clause( 92786, [ =( X, 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 659, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 131.53/131.94 identity, Y ) ), X ), X ) ] )
% 131.53/131.94 , clause( 92787, [ =( 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92789, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 131.53/131.94 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.94 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92791, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 131.53/131.94 multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.94 , clause( 44, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 131.53/131.94 , X ) ] )
% 131.53/131.94 , 0, clause( 92789, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 131.53/131.94 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.94 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 131.53/131.94 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92792, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 131.53/131.94 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.94 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.94 , 0, clause( 92791, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 131.53/131.94 , multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.94 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.94 :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92793, [ =( 'greatest_lower_bound'( X, multiply( X,
% 131.53/131.94 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.94 , clause( 92792, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 131.53/131.94 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 661, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 131.53/131.94 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 131.53/131.94 , clause( 92793, [ =( 'greatest_lower_bound'( X, multiply( X,
% 131.53/131.94 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92794, [ =( X, 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 131.53/131.94 , clause( 659, [ =( 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92795, [ =( X, 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 131.53/131.94 , clause( 86, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 131.53/131.94 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 131.53/131.94 , 0, clause( 92794, [ =( X, 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 131.53/131.94 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 131.53/131.94 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92798, [ =( 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 131.53/131.94 , clause( 92795, [ =( X, 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 subsumption(
% 131.53/131.94 clause( 668, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 131.53/131.94 Y, identity ) ), X ), X ) ] )
% 131.53/131.94 , clause( 92798, [ =( 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 131.53/131.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.94 )] ) ).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 eqswap(
% 131.53/131.94 clause( 92800, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.94 'least_upper_bound'( X, Y ), X ) ) ] )
% 131.53/131.94 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.94 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.94
% 131.53/131.94
% 131.53/131.94 paramod(
% 131.53/131.94 clause( 92802, [ =( 'least_upper_bound'( multiply( X,
% 131.53/131.94 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 131.53/131.94 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , clause( 668, [ =( 'least_upper_bound'( multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 131.53/131.95 , 0, clause( 92800, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, Y ), X ) ) ] )
% 131.53/131.95 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, multiply( X, 'greatest_lower_bound'( Y, identity ) ) ), :=( Y, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92803, [ =( X, 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , clause( 668, [ =( 'least_upper_bound'( multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 131.53/131.95 , 0, clause( 92802, [ =( 'least_upper_bound'( multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 131.53/131.95 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92805, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 92803, [ =( X, 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 701, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 92805, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92808, [ =( X, 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , clause( 701, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92809, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.95 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , clause( 532, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 131.53/131.95 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 131.53/131.95 , 0, clause( 92808, [ =( X, 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 131.53/131.95 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 131.53/131.95 ) ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92810, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.95 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 92809, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.95 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 706, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.95 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 92810, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.95 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92812, [ =( X, 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , clause( 701, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92814, [ =( multiply( inverse( multiply( X, 'greatest_lower_bound'(
% 131.53/131.95 Y, identity ) ) ), X ), 'least_upper_bound'( multiply( inverse( multiply(
% 131.53/131.95 X, 'greatest_lower_bound'( Y, identity ) ) ), X ), identity ) ) ] )
% 131.53/131.95 , clause( 18, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 131.53/131.95 ), identity ) ] )
% 131.53/131.95 , 0, clause( 92812, [ =( X, 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y,
% 131.53/131.95 identity ) )] ), substitution( 1, [ :=( X, multiply( inverse( multiply( X
% 131.53/131.95 , 'greatest_lower_bound'( Y, identity ) ) ), X ) ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92816, [ =( multiply( inverse( multiply( X, 'greatest_lower_bound'(
% 131.53/131.95 Y, identity ) ) ), X ), 'least_upper_bound'( inverse(
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ), identity ) ) ] )
% 131.53/131.95 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, clause( 92814, [ =( multiply( inverse( multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ), X ), 'least_upper_bound'(
% 131.53/131.95 multiply( inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) )
% 131.53/131.95 , X ), identity ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y,
% 131.53/131.95 identity ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92817, [ =( inverse( 'greatest_lower_bound'( Y, identity ) ),
% 131.53/131.95 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y, identity ) ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, clause( 92816, [ =( multiply( inverse( multiply( X,
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ) ), X ), 'least_upper_bound'(
% 131.53/131.95 inverse( 'greatest_lower_bound'( Y, identity ) ), identity ) ) ] )
% 131.53/131.95 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y,
% 131.53/131.95 identity ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92819, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 131.53/131.95 , identity ) ), identity ), inverse( 'greatest_lower_bound'( X, identity
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 92817, [ =( inverse( 'greatest_lower_bound'( Y, identity ) ),
% 131.53/131.95 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y, identity ) ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 713, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y,
% 131.53/131.95 identity ) ), identity ), inverse( 'greatest_lower_bound'( Y, identity )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 92819, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.95 X, identity ) ), identity ), inverse( 'greatest_lower_bound'( X, identity
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92822, [ =( 'least_upper_bound'( Y, Z ), 'greatest_lower_bound'(
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.95 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , clause( 51, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'( Y, Z ) ),
% 131.53/131.95 'least_upper_bound'( Y, Z ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92825, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 131.53/131.95 'least_upper_bound'( Y, X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.95 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.95 , 0, clause( 92822, [ =( 'least_upper_bound'( Y, Z ),
% 131.53/131.95 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 131.53/131.95 , Z ), 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92831, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 131.53/131.95 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.95 , clause( 92825, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 131.53/131.95 'least_upper_bound'( Y, X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 721, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 131.53/131.95 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( Y, X ) ) ] )
% 131.53/131.95 , clause( 92831, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 131.53/131.95 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92834, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , clause( 661, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 131.53/131.95 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92835, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.95 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , clause( 567, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 131.53/131.95 'least_upper_bound'( X, Y ) ), identity ) ] )
% 131.53/131.95 , 0, clause( 92834, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 131.53/131.95 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 131.53/131.95 , :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92836, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.95 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 92835, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.95 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 731, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.95 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 92836, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.95 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92838, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.95 , Y ) ) ] )
% 131.53/131.95 , clause( 66, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 131.53/131.95 , X ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92841, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 131.53/131.95 'least_upper_bound'( X, multiply( X, 'least_upper_bound'( Y, identity ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 661, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 131.53/131.95 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 131.53/131.95 , 0, clause( 92838, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 131.53/131.95 , Y ), Y ) ) ] )
% 131.53/131.95 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, multiply( X, 'least_upper_bound'( Y, identity ) ) )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92842, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) ), multiply( X, 'least_upper_bound'(
% 131.53/131.95 Y, identity ) ) ) ] )
% 131.53/131.95 , clause( 92841, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 131.53/131.95 'least_upper_bound'( X, multiply( X, 'least_upper_bound'( Y, identity ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 753, [ =( 'least_upper_bound'( X, multiply( X, 'least_upper_bound'(
% 131.53/131.95 Y, identity ) ) ), multiply( X, 'least_upper_bound'( Y, identity ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , clause( 92842, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) ), multiply( X, 'least_upper_bound'(
% 131.53/131.95 Y, identity ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92844, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 62, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 131.53/131.95 , X ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92845, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, 'least_upper_bound'( Y, identity ) ), X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 661, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 131.53/131.95 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 131.53/131.95 , 0, clause( 92844, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 131.53/131.95 Y, X ) ) ) ] )
% 131.53/131.95 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, multiply( X, 'least_upper_bound'( Y, identity ) ) ), :=( Y, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92846, [ =( 'least_upper_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.95 Y, identity ) ), X ), multiply( X, 'least_upper_bound'( Y, identity ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 92845, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, 'least_upper_bound'( Y, identity ) ), X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 754, [ =( 'least_upper_bound'( multiply( X, 'least_upper_bound'( Y
% 131.53/131.95 , identity ) ), X ), multiply( X, 'least_upper_bound'( Y, identity ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 92846, [ =( 'least_upper_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.95 Y, identity ) ), X ), multiply( X, 'least_upper_bound'( Y, identity ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92847, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , clause( 661, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 131.53/131.95 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92848, [ =( X, 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ), X ) ) ] )
% 131.53/131.95 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 131.53/131.95 , X ) ) ] )
% 131.53/131.95 , 0, clause( 92847, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) )] ), substitution( 1, [ :=( X, X )
% 131.53/131.95 , :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92851, [ =( 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ), X ), X ) ] )
% 131.53/131.95 , clause( 92848, [ =( X, 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 755, [ =( 'greatest_lower_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.95 Y, identity ) ), X ), X ) ] )
% 131.53/131.95 , clause( 92851, [ =( 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ), X ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92852, [ =( X, 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ), X ) ) ] )
% 131.53/131.95 , clause( 755, [ =( 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ), X ), X ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92853, [ =( X, 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( identity, Y ) ), X ) ) ] )
% 131.53/131.95 , clause( 77, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 131.53/131.95 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 92852, [ =( X, 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ), X ) ) ] )
% 131.53/131.95 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92856, [ =( 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( identity, Y ) ), X ), X ) ] )
% 131.53/131.95 , clause( 92853, [ =( X, 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( identity, Y ) ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 757, [ =( 'greatest_lower_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.95 identity, Y ) ), X ), X ) ] )
% 131.53/131.95 , clause( 92856, [ =( 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( identity, Y ) ), X ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92858, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 131.53/131.95 , X ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92861, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, 'least_upper_bound'( identity, Y ) ), X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 757, [ =( 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( identity, Y ) ), X ), X ) ] )
% 131.53/131.95 , 0, clause( 92858, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 131.53/131.95 X, Y ) ) ) ] )
% 131.53/131.95 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, multiply( X, 'least_upper_bound'( identity, Y ) ) ), :=( Y, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92862, [ =( 'least_upper_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.95 identity, Y ) ), X ), multiply( X, 'least_upper_bound'( identity, Y ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 92861, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, 'least_upper_bound'( identity, Y ) ), X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 776, [ =( 'least_upper_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.95 identity, Y ) ), X ), multiply( X, 'least_upper_bound'( identity, Y ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 92862, [ =( 'least_upper_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.95 identity, Y ) ), X ), multiply( X, 'least_upper_bound'( identity, Y ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92865, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 131.53/131.95 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 131.53/131.95 , clause( 721, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 131.53/131.95 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( Y, X ) ) ] )
% 131.53/131.95 , 0, clause( 235, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X
% 131.53/131.95 ), Y ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, 'least_upper_bound'( Y, Z ) ), :=( Y, 'least_upper_bound'( Z, Y )
% 131.53/131.95 ), :=( Z, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 784, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 131.53/131.95 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.95 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 131.53/131.95 , clause( 92865, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 131.53/131.95 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 131.53/131.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92867, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.95 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 131.53/131.95 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92870, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 131.53/131.95 'greatest_lower_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.95 , clause( 721, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 131.53/131.95 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( Y, X ) ) ] )
% 131.53/131.95 , 0, clause( 92867, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 131.53/131.95 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z,
% 131.53/131.95 'least_upper_bound'( Z, Y ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92871, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ), X
% 131.53/131.95 ), 'greatest_lower_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.95 , clause( 784, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 131.53/131.95 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.95 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 131.53/131.95 , 0, clause( 92870, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 131.53/131.95 , 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 131.53/131.95 'greatest_lower_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.95 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92872, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X )
% 131.53/131.95 ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.95 , clause( 92871, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 131.53/131.95 X ), 'greatest_lower_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 786, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X ) )
% 131.53/131.95 , 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.95 , clause( 92872, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X
% 131.53/131.95 ) ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92873, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X
% 131.53/131.95 ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , clause( 786, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X )
% 131.53/131.95 ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92876, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ), T ), 'greatest_lower_bound'( T,
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 131.53/131.95 , clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 131.53/131.95 , 0, clause( 92873, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y
% 131.53/131.95 ), X ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.95 substitution( 1, [ :=( X, T ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=(
% 131.53/131.95 Z, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92879, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, Y ), Z ), T ), 'greatest_lower_bound'( T,
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 131.53/131.95 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.95 , 0, clause( 92876, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ), T ), 'greatest_lower_bound'( T,
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92880, [ =( 'greatest_lower_bound'( T, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( Y, X ), Z ) ), 'greatest_lower_bound'(
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ), T ) ) ] )
% 131.53/131.95 , clause( 92879, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, Y ), Z ), T ), 'greatest_lower_bound'( T,
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 817, [ =( 'greatest_lower_bound'( T, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, Z ), Y ) ), 'greatest_lower_bound'(
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ), T ) ) ] )
% 131.53/131.95 , clause( 92880, [ =( 'greatest_lower_bound'( T, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( Y, X ), Z ) ), 'greatest_lower_bound'(
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ), T ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 131.53/131.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92882, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 131.53/131.95 , X ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92885, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z )
% 131.53/131.95 ), 'least_upper_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 131.53/131.95 Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 131.53/131.95 , clause( 53, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 131.53/131.95 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 131.53/131.95 , 0, clause( 92882, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 131.53/131.95 X, Y ) ) ) ] )
% 131.53/131.95 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 131.53/131.95 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 131.53/131.95 Y, Z ) ) ), :=( Y, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92886, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ),
% 131.53/131.95 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , clause( 92885, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 131.53/131.95 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 131.53/131.95 Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 834, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ),
% 131.53/131.95 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , clause( 92886, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ),
% 131.53/131.95 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92888, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 131.53/131.95 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , clause( 614, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.95 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92907, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'( multiply(
% 131.53/131.95 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 131.53/131.95 , clause( 18, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 131.53/131.95 ), identity ) ] )
% 131.53/131.95 , 0, clause( 92888, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 131.53/131.95 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92909, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 131.53/131.95 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'( inverse(
% 131.53/131.95 Y ), identity ) ) ] )
% 131.53/131.95 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, clause( 92907, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 131.53/131.95 ), 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'(
% 131.53/131.95 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 131.53/131.95 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92910, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( Y,
% 131.53/131.95 identity ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.95 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, clause( 92909, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 131.53/131.95 ), 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'(
% 131.53/131.95 inverse( Y ), identity ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 874, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( Y,
% 131.53/131.95 identity ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.95 , clause( 92910, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( Y,
% 131.53/131.95 identity ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92914, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 131.53/131.95 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , clause( 186, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 131.53/131.95 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92915, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 131.53/131.95 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.95 , clause( 92914, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 131.53/131.95 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 77, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 131.53/131.95 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 131.53/131.95 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 936, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.95 , clause( 92915, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 131.53/131.95 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92918, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 131.53/131.95 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , clause( 186, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 131.53/131.95 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92937, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 131.53/131.95 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 131.53/131.95 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 131.53/131.95 , clause( 18, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 131.53/131.95 ), identity ) ] )
% 131.53/131.95 , 0, clause( 92918, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 131.53/131.95 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92939, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 131.53/131.95 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, clause( 92937, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 131.53/131.95 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 131.53/131.95 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 131.53/131.95 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92940, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 131.53/131.95 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.95 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, clause( 92939, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 131.53/131.95 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y
% 131.53/131.95 ), identity ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 971, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 131.53/131.95 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.95 , clause( 92940, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity
% 131.53/131.95 , Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92944, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 131.53/131.95 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , clause( 186, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 131.53/131.95 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92945, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.95 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 131.53/131.95 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92948, [ =( multiply( X, 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 identity, Y ), Z ) ), 'least_upper_bound'( 'least_upper_bound'( X,
% 131.53/131.95 multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 131.53/131.95 , clause( 92944, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 131.53/131.95 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 92945, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 131.53/131.95 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, 'least_upper_bound'( identity, Y ) ), :=( Z, Z )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92950, [ =( multiply( X, 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 identity, Y ), Z ) ), 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ) ) ) ] )
% 131.53/131.95 , clause( 76, [ =( 'least_upper_bound'( 'least_upper_bound'( T, multiply( X
% 131.53/131.95 , Y ) ), multiply( X, Z ) ), 'least_upper_bound'( T, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ) ) ) ] )
% 131.53/131.95 , 0, clause( 92948, [ =( multiply( X, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( identity, Y ), Z ) ), 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 131.53/131.95 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 131.53/131.95 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92951, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ) ), multiply( X, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( identity, Y ), Z ) ) ) ] )
% 131.53/131.95 , clause( 92950, [ =( multiply( X, 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 identity, Y ), Z ) ), 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 973, [ =( 'least_upper_bound'( X, multiply( X, 'least_upper_bound'(
% 131.53/131.95 Y, Z ) ) ), multiply( X, 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 identity, Y ), Z ) ) ) ] )
% 131.53/131.95 , clause( 92951, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.95 'least_upper_bound'( Y, Z ) ) ), multiply( X, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( identity, Y ), Z ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92952, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 131.53/131.95 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , clause( 936, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 131.53/131.95 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92953, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92954, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 131.53/131.95 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , clause( 92952, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 131.53/131.95 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 92953, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92955, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 131.53/131.95 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 92954, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y )
% 131.53/131.95 ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1008, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 131.53/131.95 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 92955, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 131.53/131.95 , inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92958, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 131.53/131.95 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.95 , 0, clause( 19, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply(
% 131.53/131.95 Y, identity ) ) ] )
% 131.53/131.95 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 131.53/131.95 :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1020, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 131.53/131.95 , clause( 92958, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92961, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.95 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 131.53/131.95 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92962, [ =( multiply( 'least_upper_bound'( multiply( X, inverse( Y
% 131.53/131.95 ) ), Z ), Y ), 'least_upper_bound'( X, multiply( Z, Y ) ) ) ] )
% 131.53/131.95 , clause( 1020, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 131.53/131.95 , 0, clause( 92961, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1031, [ =( multiply( 'least_upper_bound'( multiply( X, inverse( Y )
% 131.53/131.95 ), Z ), Y ), 'least_upper_bound'( X, multiply( Z, Y ) ) ) ] )
% 131.53/131.95 , clause( 92962, [ =( multiply( 'least_upper_bound'( multiply( X, inverse(
% 131.53/131.95 Y ) ), Z ), Y ), 'least_upper_bound'( X, multiply( Z, Y ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92967, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.95 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 131.53/131.95 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 131.53/131.95 , clause( 65, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 131.53/131.95 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 131.53/131.95 'greatest_lower_bound'( Y, Z ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92970, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.95 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 131.53/131.95 , clause( 56, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 131.53/131.95 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.95 , 0, clause( 92967, [ =( 'greatest_lower_bound'( X, Y ),
% 131.53/131.95 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 131.53/131.95 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 131.53/131.95 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92976, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 131.53/131.95 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.95 , clause( 92970, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.95 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1069, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 131.53/131.95 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 131.53/131.95 , clause( 92976, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 131.53/131.95 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92979, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 131.53/131.95 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 131.53/131.95 , clause( 187, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 131.53/131.95 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.95 , 0, clause( 550, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 131.53/131.95 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1240, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 131.53/131.95 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 131.53/131.95 , clause( 92979, [ =( inverse( multiply( X, 'least_upper_bound'( Y,
% 131.53/131.95 identity ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92982, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 131.53/131.95 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , clause( 118, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 131.53/131.95 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 92986, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.95 , clause( 209, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.95 , 0, clause( 92982, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 131.53/131.95 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.95 inverse( X ) ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1292, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 131.53/131.95 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.95 , clause( 92986, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 92989, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 131.53/131.95 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , clause( 102, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 131.53/131.95 'least_upper_bound'( identity, Y ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93010, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.95 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.95 , clause( 936, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 131.53/131.95 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.95 , 0, clause( 92989, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 131.53/131.95 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93012, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.95 , clause( 93010, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.95 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1516, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.95 , clause( 93012, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93014, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 131.53/131.95 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , clause( 102, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 131.53/131.95 'least_upper_bound'( identity, Y ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93027, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 131.53/131.95 identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply( identity,
% 131.53/131.95 X ), Y ) ) ) ] )
% 131.53/131.95 , clause( 936, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 131.53/131.95 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.95 , 0, clause( 93014, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 131.53/131.95 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 131.53/131.95 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93030, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 131.53/131.95 identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.95 , 0, clause( 93027, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 131.53/131.95 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply(
% 131.53/131.95 identity, X ), Y ) ) ) ] )
% 131.53/131.95 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.95 :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93032, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 131.53/131.95 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.95 , 0, clause( 93030, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 131.53/131.95 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93033, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 131.53/131.95 'least_upper_bound'( X, identity ), Y ) ) ] )
% 131.53/131.95 , clause( 93032, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 131.53/131.95 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1517, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 131.53/131.95 'least_upper_bound'( X, identity ), Y ) ) ] )
% 131.53/131.95 , clause( 93033, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 131.53/131.95 'least_upper_bound'( X, identity ), Y ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93034, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 131.53/131.95 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , clause( 102, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 131.53/131.95 'least_upper_bound'( identity, Y ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93055, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.95 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.95 , clause( 186, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 131.53/131.95 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93034, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 131.53/131.95 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93057, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.95 , clause( 93055, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.95 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1518, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.95 , clause( 93057, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93058, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 131.53/131.95 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , clause( 102, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 131.53/131.95 'least_upper_bound'( identity, Y ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93059, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93061, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 131.53/131.95 Y, inverse( 'least_upper_bound'( Y, multiply( X, Y ) ) ) ) ) ] )
% 131.53/131.95 , clause( 93058, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 131.53/131.95 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , 0, clause( 93059, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, Y ), :=( Y, 'least_upper_bound'( identity, X ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93063, [ =( multiply( Y, inverse( 'least_upper_bound'( Y, multiply(
% 131.53/131.95 X, Y ) ) ) ), inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.95 , clause( 93061, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.95 multiply( Y, inverse( 'least_upper_bound'( Y, multiply( X, Y ) ) ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1546, [ =( multiply( Y, inverse( 'least_upper_bound'( Y, multiply(
% 131.53/131.95 X, Y ) ) ) ), inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.95 , clause( 93063, [ =( multiply( Y, inverse( 'least_upper_bound'( Y,
% 131.53/131.95 multiply( X, Y ) ) ) ), inverse( 'least_upper_bound'( identity, X ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93064, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 131.53/131.95 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , clause( 102, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 131.53/131.95 'least_upper_bound'( identity, Y ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93066, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.95 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 131.53/131.95 ) ] )
% 131.53/131.95 , 0, clause( 93064, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 131.53/131.95 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 131.53/131.95 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1556, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 131.53/131.95 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 131.53/131.95 , clause( 93066, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93074, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ),
% 131.53/131.95 X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 131.53/131.95 , clause( 1517, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 131.53/131.95 'least_upper_bound'( X, identity ), Y ) ) ] )
% 131.53/131.95 , 0, clause( 550, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 131.53/131.95 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1572, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 131.53/131.95 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 131.53/131.95 , clause( 93074, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 131.53/131.95 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93077, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 131.53/131.95 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , clause( 1517, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 131.53/131.95 'least_upper_bound'( X, identity ), Y ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93081, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 131.53/131.95 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.95 , clause( 209, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.95 , 0, clause( 93077, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 131.53/131.95 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.95 inverse( X ) ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1591, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 131.53/131.95 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.95 , clause( 93081, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 131.53/131.95 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93085, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 131.53/131.95 'least_upper_bound'( identity, X ), Y ) ) ] )
% 131.53/131.95 , clause( 1556, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 131.53/131.95 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93088, [ =( 'least_upper_bound'( inverse( multiply( Y, X ) ),
% 131.53/131.95 inverse( Y ) ), multiply( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.95 inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.95 multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93085, [ =( 'least_upper_bound'( multiply( X, Y ), Y ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), Y ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, inverse( X ) ), :=( Y, inverse( Y ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93089, [ =( multiply( 'least_upper_bound'( identity, inverse( Y ) )
% 131.53/131.95 , inverse( X ) ), 'least_upper_bound'( inverse( multiply( X, Y ) ),
% 131.53/131.95 inverse( X ) ) ) ] )
% 131.53/131.95 , clause( 93088, [ =( 'least_upper_bound'( inverse( multiply( Y, X ) ),
% 131.53/131.95 inverse( Y ) ), multiply( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.95 inverse( Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1616, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 131.53/131.95 , inverse( Y ) ), 'least_upper_bound'( inverse( multiply( Y, X ) ),
% 131.53/131.95 inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 93089, [ =( multiply( 'least_upper_bound'( identity, inverse( Y )
% 131.53/131.95 ), inverse( X ) ), 'least_upper_bound'( inverse( multiply( X, Y ) ),
% 131.53/131.95 inverse( X ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93090, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.95 , clause( 103, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 131.53/131.95 'least_upper_bound'( Y, identity ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93091, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93092, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 131.53/131.95 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.95 , clause( 93090, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.95 , 0, clause( 93091, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 131.53/131.95 ), X ) ) ] )
% 131.53/131.95 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93093, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 131.53/131.95 ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 131.53/131.95 , clause( 93092, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 131.53/131.95 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1650, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 131.53/131.95 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 131.53/131.95 , clause( 93093, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 131.53/131.95 X ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93095, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 131.53/131.95 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 131.53/131.95 , clause( 1591, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 131.53/131.95 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93102, [ =( 'least_upper_bound'( inverse( multiply( X, inverse( Y )
% 131.53/131.95 ) ), identity ), multiply( 'least_upper_bound'( multiply( X, inverse( Y
% 131.53/131.95 ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 131.53/131.95 , clause( 274, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 131.53/131.95 inverse( X ) ) ) ] )
% 131.53/131.95 , 0, clause( 93095, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 131.53/131.95 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 131.53/131.95 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, multiply( X, inverse( Y ) ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93103, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 131.53/131.95 identity ), multiply( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 131.53/131.95 identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 131.53/131.95 , clause( 274, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 131.53/131.95 inverse( X ) ) ) ] )
% 131.53/131.95 , 0, clause( 93102, [ =( 'least_upper_bound'( inverse( multiply( X, inverse(
% 131.53/131.95 Y ) ) ), identity ), multiply( 'least_upper_bound'( multiply( X, inverse(
% 131.53/131.95 Y ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93108, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 131.53/131.95 identity ), multiply( multiply( 'least_upper_bound'( multiply( Y, inverse(
% 131.53/131.95 X ) ), identity ), X ), inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 131.53/131.95 ), Z ) ) ] )
% 131.53/131.95 , 0, clause( 93103, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 131.53/131.95 identity ), multiply( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 131.53/131.95 identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 131.53/131.95 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( Y, inverse(
% 131.53/131.95 X ) ), identity ) ), :=( Y, X ), :=( Z, inverse( Y ) )] ), substitution(
% 131.53/131.95 1, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93109, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 131.53/131.95 identity ), multiply( 'least_upper_bound'( Y, multiply( identity, X ) ),
% 131.53/131.95 inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 1031, [ =( multiply( 'least_upper_bound'( multiply( X, inverse( Y
% 131.53/131.95 ) ), Z ), Y ), 'least_upper_bound'( X, multiply( Z, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93108, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 131.53/131.95 identity ), multiply( multiply( 'least_upper_bound'( multiply( Y, inverse(
% 131.53/131.95 X ) ), identity ), X ), inverse( Y ) ) ) ] )
% 131.53/131.95 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93110, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 131.53/131.95 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.95 , 0, clause( 93109, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 131.53/131.95 identity ), multiply( 'least_upper_bound'( Y, multiply( identity, X ) ),
% 131.53/131.95 inverse( Y ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.95 :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93111, [ =( multiply( 'least_upper_bound'( Y, X ), inverse( Y ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 131.53/131.95 , clause( 93110, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 131.53/131.95 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1656, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 131.53/131.95 'least_upper_bound'( multiply( Y, inverse( X ) ), identity ) ) ] )
% 131.53/131.95 , clause( 93111, [ =( multiply( 'least_upper_bound'( Y, X ), inverse( Y ) )
% 131.53/131.95 , 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93113, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 131.53/131.95 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 131.53/131.95 , clause( 1591, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 131.53/131.95 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93115, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 131.53/131.95 identity ) ), identity ), multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.95 inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 131.53/131.95 , clause( 38, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), X ),
% 131.53/131.95 'least_upper_bound'( Y, X ) ) ] )
% 131.53/131.95 , 0, clause( 93113, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 131.53/131.95 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 131.53/131.95 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 131.53/131.95 1, [ :=( X, 'least_upper_bound'( X, identity ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93116, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 131.53/131.95 identity ) ), identity ), identity ) ] )
% 131.53/131.95 , clause( 209, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.95 , 0, clause( 93115, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.95 X, identity ) ), identity ), multiply( 'least_upper_bound'( X, identity )
% 131.53/131.95 , inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 131.53/131.95 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1660, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 131.53/131.95 identity ) ), identity ), identity ) ] )
% 131.53/131.95 , clause( 93116, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 131.53/131.95 , identity ) ), identity ), identity ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93119, [ =( 'least_upper_bound'( Y, Z ), 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 131.53/131.95 ) ), Y ), Z ) ) ] )
% 131.53/131.95 , clause( 67, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ), Z ),
% 131.53/131.95 'least_upper_bound'( Y, Z ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93123, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 131.53/131.95 identity ) ), identity ), 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 'greatest_lower_bound'( Y, identity ), inverse( 'least_upper_bound'( X,
% 131.53/131.95 identity ) ) ), identity ) ) ] )
% 131.53/131.95 , clause( 1660, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 131.53/131.95 identity ) ), identity ), identity ) ] )
% 131.53/131.95 , 0, clause( 93119, [ =( 'least_upper_bound'( Y, Z ), 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 131.53/131.95 ) ), Y ), Z ) ) ] )
% 131.53/131.95 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 131.53/131.95 :=( Y, inverse( 'least_upper_bound'( X, identity ) ) ), :=( Z, identity )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93124, [ =( identity, 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 'greatest_lower_bound'( Y, identity ), inverse( 'least_upper_bound'( X,
% 131.53/131.95 identity ) ) ), identity ) ) ] )
% 131.53/131.95 , clause( 1660, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 131.53/131.95 identity ) ), identity ), identity ) ] )
% 131.53/131.95 , 0, clause( 93123, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.95 X, identity ) ), identity ), 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 'greatest_lower_bound'( Y, identity ), inverse( 'least_upper_bound'( X,
% 131.53/131.95 identity ) ) ), identity ) ) ] )
% 131.53/131.95 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.95 :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93127, [ =( identity, 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , clause( 436, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 'greatest_lower_bound'( Y, X ), Z ), X ), 'least_upper_bound'( X, Z ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , 0, clause( 93124, [ =( identity, 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 'greatest_lower_bound'( Y, identity ), inverse( 'least_upper_bound'( X,
% 131.53/131.95 identity ) ) ), identity ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, inverse(
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) )] ), substitution( 1, [ :=( X, Y )
% 131.53/131.95 , :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93128, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( X, identity ) ) ), identity ) ] )
% 131.53/131.95 , clause( 93127, [ =( identity, 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1666, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( X, identity ) ) ), identity ) ] )
% 131.53/131.95 , clause( 93128, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( X, identity ) ) ), identity ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93129, [ =( identity, 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( X, identity ) ) ) ) ] )
% 131.53/131.95 , clause( 1666, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( X, identity ) ) ), identity ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93130, [ =( identity, 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, identity ), Y ) ) ) ) ] )
% 131.53/131.95 , clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 131.53/131.95 , 0, clause( 93129, [ =( identity, 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( X, identity ) ) ) ) ] )
% 131.53/131.95 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, Y ), :=( Z, X )] ),
% 131.53/131.95 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93133, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, identity ), Y ) ) ),
% 131.53/131.95 identity ) ] )
% 131.53/131.95 , clause( 93130, [ =( identity, 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, identity ), Y ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1682, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, identity ), Y ) ) ),
% 131.53/131.95 identity ) ] )
% 131.53/131.95 , clause( 93133, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, identity ), Y ) ) ),
% 131.53/131.95 identity ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93135, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 131.53/131.95 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 78, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 131.53/131.95 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93139, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 131.53/131.95 ), Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ), multiply( X
% 131.53/131.95 , Z ) ) ) ] )
% 131.53/131.95 , clause( 209, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 131.53/131.95 , 0, clause( 93135, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 131.53/131.95 , T ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 131.53/131.95 X, T ) ) ) ] )
% 131.53/131.95 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.95 :=( Y, inverse( X ) ), :=( Z, Y ), :=( T, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93141, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 131.53/131.95 ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 131.53/131.95 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.95 , 0, clause( 93139, [ =( multiply( X, 'least_upper_bound'( multiply(
% 131.53/131.95 inverse( X ), Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ),
% 131.53/131.95 multiply( X, Z ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.95 :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1684, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X )
% 131.53/131.95 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 131.53/131.95 , clause( 93141, [ =( multiply( X, 'least_upper_bound'( multiply( inverse(
% 131.53/131.95 X ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93144, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 131.53/131.95 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 78, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 131.53/131.95 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93148, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 131.53/131.95 X, Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ), multiply(
% 131.53/131.95 inverse( X ), Z ) ) ) ] )
% 131.53/131.95 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 131.53/131.95 , 0, clause( 93144, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 131.53/131.95 , T ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 131.53/131.95 X, T ) ) ) ] )
% 131.53/131.95 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.95 inverse( X ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93150, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 131.53/131.95 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.95 , 0, clause( 93148, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 131.53/131.95 multiply( X, Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ),
% 131.53/131.95 multiply( inverse( X ), Z ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.95 :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1686, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply( X
% 131.53/131.95 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , clause( 93150, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 131.53/131.95 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.53/131.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93153, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.95 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 131.53/131.95 , clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 131.53/131.95 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93156, [ =( multiply( inverse( X ), 'least_upper_bound'( X, inverse(
% 131.53/131.95 Y ) ) ), 'least_upper_bound'( identity, inverse( multiply( Y, X ) ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.95 multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93153, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 131.53/131.95 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1800, [ =( multiply( inverse( X ), 'least_upper_bound'( X, inverse(
% 131.53/131.95 Y ) ) ), 'least_upper_bound'( identity, inverse( multiply( Y, X ) ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , clause( 93156, [ =( multiply( inverse( X ), 'least_upper_bound'( X,
% 131.53/131.95 inverse( Y ) ) ), 'least_upper_bound'( identity, inverse( multiply( Y, X
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93159, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.95 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 131.53/131.95 , clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 131.53/131.95 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93162, [ =( multiply( inverse( multiply( X, Y ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), X ) ), 'least_upper_bound'(
% 131.53/131.95 identity, inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, clause( 93159, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 131.53/131.95 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 131.53/131.95 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1807, [ =( multiply( inverse( multiply( X, Y ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), X ) ), 'least_upper_bound'(
% 131.53/131.95 identity, inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 93162, [ =( multiply( inverse( multiply( X, Y ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), X ) ), 'least_upper_bound'(
% 131.53/131.95 identity, inverse( Y ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93164, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.95 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 131.53/131.95 , clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 131.53/131.95 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93165, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93166, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 131.53/131.95 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 93164, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 131.53/131.95 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93165, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93167, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 131.53/131.95 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 93166, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 131.53/131.95 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1808, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 131.53/131.95 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 93167, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 131.53/131.95 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93168, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.95 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 131.53/131.95 , clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 131.53/131.95 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93170, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.95 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.95 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 131.53/131.95 ) ] )
% 131.53/131.95 , 0, clause( 93168, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 131.53/131.95 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 131.53/131.95 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, multiply( inverse( X )
% 131.53/131.95 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1825, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 131.53/131.95 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.95 , clause( 93170, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 131.53/131.95 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93177, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 131.53/131.95 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.95 , clause( 81, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 131.53/131.95 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93178, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93179, [ =( inverse( X ), multiply( 'least_upper_bound'( multiply(
% 131.53/131.95 inverse( X ), Y ), identity ), inverse( 'least_upper_bound'( Y, X ) ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 93177, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 131.53/131.95 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.95 , 0, clause( 93178, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( Y, X ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93180, [ =( multiply( 'least_upper_bound'( multiply( inverse( X ),
% 131.53/131.95 Y ), identity ), inverse( 'least_upper_bound'( Y, X ) ) ), inverse( X ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 93179, [ =( inverse( X ), multiply( 'least_upper_bound'( multiply(
% 131.53/131.95 inverse( X ), Y ), identity ), inverse( 'least_upper_bound'( Y, X ) ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1947, [ =( multiply( 'least_upper_bound'( multiply( inverse( X ), Y
% 131.53/131.95 ), identity ), inverse( 'least_upper_bound'( Y, X ) ) ), inverse( X ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 93180, [ =( multiply( 'least_upper_bound'( multiply( inverse( X )
% 131.53/131.95 , Y ), identity ), inverse( 'least_upper_bound'( Y, X ) ) ), inverse( X )
% 131.53/131.95 ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93182, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 44, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 131.53/131.95 , X ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93183, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 131.53/131.95 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 131.53/131.95 , clause( 81, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 131.53/131.95 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 131.53/131.95 , 0, clause( 93182, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 131.53/131.95 Y, X ) ) ) ] )
% 131.53/131.95 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93184, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 131.53/131.95 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 131.53/131.95 , clause( 93183, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 131.53/131.95 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1952, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 131.53/131.95 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 131.53/131.95 , clause( 93184, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 131.53/131.95 X ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93185, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 131.53/131.95 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 131.53/131.95 , clause( 1952, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 131.53/131.95 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93186, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 131.53/131.95 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 131.53/131.95 , 0, clause( 93185, [ =( identity, 'greatest_lower_bound'( identity,
% 131.53/131.95 multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 131.53/131.95 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93189, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 131.53/131.95 ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ), identity )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 93186, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 131.53/131.95 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 1977, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Z )
% 131.53/131.95 , 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ), identity ) ]
% 131.53/131.95 )
% 131.53/131.95 , clause( 93189, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 131.53/131.95 X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ), identity
% 131.53/131.95 ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 131.53/131.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93191, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 131.53/131.95 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , clause( 89, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 131.53/131.95 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93194, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 131.53/131.95 inverse( Y ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( Y
% 131.53/131.95 , X ) ) ) ) ] )
% 131.53/131.95 , clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.95 multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93191, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X
% 131.53/131.95 , Y ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 2314, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 131.53/131.95 inverse( Y ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( Y
% 131.53/131.95 , X ) ) ) ) ] )
% 131.53/131.95 , clause( 93194, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 131.53/131.95 inverse( Y ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( Y
% 131.53/131.95 , X ) ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93205, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 131.53/131.95 , inverse( 'least_upper_bound'( 'least_upper_bound'( Y, identity ), Z ) )
% 131.53/131.95 ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.95 , clause( 1682, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, identity ), Y ) ) ),
% 131.53/131.95 identity ) ] )
% 131.53/131.95 , 0, clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X )
% 131.53/131.95 , 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 131.53/131.95 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 131.53/131.95 :=( X, inverse( 'least_upper_bound'( 'least_upper_bound'( Y, identity ),
% 131.53/131.95 Z ) ) ), :=( Y, X ), :=( Z, identity )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 2506, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, Z )
% 131.53/131.95 , inverse( 'least_upper_bound'( 'least_upper_bound'( X, identity ), Y ) )
% 131.53/131.95 ), 'least_upper_bound'( identity, Z ) ) ] )
% 131.53/131.95 , clause( 93205, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X
% 131.53/131.95 ), inverse( 'least_upper_bound'( 'least_upper_bound'( Y, identity ), Z )
% 131.53/131.95 ) ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 131.53/131.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93206, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.95 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.95 , clause( 1516, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93207, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.95 , clause( 103, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 131.53/131.95 'least_upper_bound'( Y, identity ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93217, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, identity ), identity ) ), 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, identity ), identity ) ) ) ] )
% 131.53/131.95 , clause( 93207, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.95 , 0, clause( 93206, [ =( multiply( 'least_upper_bound'( identity, X ), X )
% 131.53/131.95 , multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, identity ), identity ) )] ), substitution( 1, [
% 131.53/131.95 :=( X, 'least_upper_bound'( X, identity ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93219, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, identity ), identity ) ),
% 131.53/131.95 'least_upper_bound'( X, identity ) ), identity ) ) ] )
% 131.53/131.95 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.95 , 0, clause( 93217, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, identity ), identity ) ), 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, identity ), identity ) ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, multiply( X, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, identity ), identity ) ) ), :=( Y,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), :=( Z, identity )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93224, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 multiply( X, 'least_upper_bound'( 'least_upper_bound'( X, identity ),
% 131.53/131.95 identity ) ), X ), identity ), identity ) ) ] )
% 131.53/131.95 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.95 , 0, clause( 93219, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, identity ), identity ) ),
% 131.53/131.95 'least_upper_bound'( X, identity ) ), identity ) ) ] )
% 131.53/131.95 , 0, 11, substitution( 0, [ :=( X, multiply( X, 'least_upper_bound'(
% 131.53/131.95 'least_upper_bound'( X, identity ), identity ) ) ), :=( Y, X ), :=( Z,
% 131.53/131.95 identity )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93227, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 multiply( X, 'least_upper_bound'( X, identity ) ), X ), identity ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , clause( 38, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), X ),
% 131.53/131.95 'least_upper_bound'( Y, X ) ) ] )
% 131.53/131.95 , 0, clause( 93224, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 multiply( X, 'least_upper_bound'( 'least_upper_bound'( X, identity ),
% 131.53/131.95 identity ) ), X ), identity ), identity ) ) ] )
% 131.53/131.95 , 0, 15, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93229, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), identity ), identity ) ) ] )
% 131.53/131.95 , clause( 754, [ =( 'least_upper_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.95 Y, identity ) ), X ), multiply( X, 'least_upper_bound'( Y, identity ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , 0, clause( 93227, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 multiply( X, 'least_upper_bound'( X, identity ) ), X ), identity ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93230, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( multiply( X, 'least_upper_bound'( X, identity )
% 131.53/131.95 ), identity ) ) ] )
% 131.53/131.95 , clause( 38, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), X ),
% 131.53/131.95 'least_upper_bound'( Y, X ) ) ] )
% 131.53/131.95 , 0, clause( 93229, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), identity ), identity ) ) ] )
% 131.53/131.95 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, multiply( X,
% 131.53/131.95 'least_upper_bound'( X, identity ) ) )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93231, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), X
% 131.53/131.95 ), identity ) ) ] )
% 131.53/131.95 , clause( 1516, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.95 , 0, clause( 93230, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( multiply( X, 'least_upper_bound'( X, identity )
% 131.53/131.95 ), identity ) ) ] )
% 131.53/131.95 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93232, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 identity, X ), identity ), 'least_upper_bound'( X, identity ) ),
% 131.53/131.95 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.95 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.95 , 0, clause( 93231, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 131.53/131.95 ), 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), X
% 131.53/131.95 ), identity ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, identity )] )
% 131.53/131.95 , substitution( 1, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93233, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( multiply(
% 131.53/131.95 'least_upper_bound'( identity, X ), X ), identity ) ) ] )
% 131.53/131.95 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.95 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.95 , 0, clause( 93232, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 identity, X ), identity ), 'least_upper_bound'( X, identity ) ),
% 131.53/131.95 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.95 identity ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 131.53/131.95 1, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 2608, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( multiply(
% 131.53/131.95 'least_upper_bound'( identity, X ), X ), identity ) ) ] )
% 131.53/131.95 , clause( 93233, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.95 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( multiply(
% 131.53/131.95 'least_upper_bound'( identity, X ), X ), identity ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93236, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93237, [ =( inverse( X ), multiply( 'least_upper_bound'( X,
% 131.53/131.95 identity ), inverse( multiply( 'least_upper_bound'( identity, X ), X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 1516, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.95 , 0, clause( 93236, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.95 'least_upper_bound'( X, identity ) ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93238, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ), inverse( X ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , clause( 93237, [ =( inverse( X ), multiply( 'least_upper_bound'( X,
% 131.53/131.95 identity ), inverse( multiply( 'least_upper_bound'( identity, X ), X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 2610, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ), inverse( X ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , clause( 93238, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ), inverse( X ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93240, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93241, [ =( X, multiply( multiply( 'least_upper_bound'( identity, X
% 131.53/131.95 ), X ), inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 131.53/131.95 , clause( 1518, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 131.53/131.95 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.95 , 0, clause( 93240, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.95 :=( Y, 'least_upper_bound'( identity, X ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93242, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 131.53/131.95 , X ), inverse( 'least_upper_bound'( identity, X ) ) ), X ) ] )
% 131.53/131.95 , clause( 93241, [ =( X, multiply( multiply( 'least_upper_bound'( identity
% 131.53/131.95 , X ), X ), inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 2615, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.95 X ), inverse( 'least_upper_bound'( identity, X ) ) ), X ) ] )
% 131.53/131.95 , clause( 93242, [ =( multiply( multiply( 'least_upper_bound'( identity, X
% 131.53/131.95 ), X ), inverse( 'least_upper_bound'( identity, X ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93244, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93247, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 131.53/131.95 multiply( X, inverse( 'least_upper_bound'( identity, multiply( Y, X ) ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 100, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 131.53/131.95 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , 0, clause( 93244, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, 'least_upper_bound'( inverse( X ), Y ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93248, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 131.53/131.95 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , clause( 93247, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 131.53/131.95 multiply( X, inverse( 'least_upper_bound'( identity, multiply( Y, X ) ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 2618, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 131.53/131.95 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , clause( 93248, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 131.53/131.95 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93250, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93253, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 131.53/131.95 multiply( Y, inverse( 'least_upper_bound'( multiply( X, Y ), identity ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 101, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 131.53/131.95 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 131.53/131.95 , 0, clause( 93250, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, Y ), :=( Y, 'least_upper_bound'( X, inverse( Y ) ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93254, [ =( multiply( Y, inverse( 'least_upper_bound'( multiply( X
% 131.53/131.95 , Y ), identity ) ) ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , clause( 93253, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 131.53/131.95 multiply( Y, inverse( 'least_upper_bound'( multiply( X, Y ), identity ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 2643, [ =( multiply( Y, inverse( 'least_upper_bound'( multiply( X,
% 131.53/131.95 Y ), identity ) ) ), inverse( 'least_upper_bound'( X, inverse( Y ) ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 93254, [ =( multiply( Y, inverse( 'least_upper_bound'( multiply(
% 131.53/131.95 X, Y ), identity ) ) ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93256, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93258, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 131.53/131.95 identity, X ), inverse( 'least_upper_bound'( inverse( X ), identity ) ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , clause( 971, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 131.53/131.95 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.95 , 0, clause( 93256, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93259, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.95 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.95 , 0, clause( 93258, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.95 'least_upper_bound'( identity, X ), inverse( 'least_upper_bound'( inverse(
% 131.53/131.95 X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93260, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 131.53/131.95 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 93259, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.95 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 2741, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 131.53/131.95 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 93260, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 131.53/131.95 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93262, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93264, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.95 'greatest_lower_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 874, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( Y,
% 131.53/131.95 identity ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.95 , 0, clause( 93262, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, 'greatest_lower_bound'( X, identity ) ), :=( Y, inverse( X ) )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93265, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.95 , 0, clause( 93264, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.95 'greatest_lower_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93266, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 93265, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 2746, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 93266, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93268, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93270, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.95 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 652, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 131.53/131.95 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.95 , 0, clause( 93268, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93271, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.95 , 0, clause( 93270, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.95 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93272, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 93271, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 2751, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 93272, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93274, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 264, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93277, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 131.53/131.95 multiply( X, inverse( 'greatest_lower_bound'( identity, multiply( Y, X )
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , clause( 116, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X
% 131.53/131.95 ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 131.53/131.95 , 0, clause( 93274, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, 'greatest_lower_bound'( inverse( X ), Y ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93278, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity
% 131.53/131.95 , multiply( Y, X ) ) ) ), inverse( 'greatest_lower_bound'( inverse( X ),
% 131.53/131.95 Y ) ) ) ] )
% 131.53/131.95 , clause( 93277, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 131.53/131.95 , multiply( X, inverse( 'greatest_lower_bound'( identity, multiply( Y, X
% 131.53/131.95 ) ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 3022, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity,
% 131.53/131.95 multiply( Y, X ) ) ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 93278, [ =( multiply( X, inverse( 'greatest_lower_bound'(
% 131.53/131.95 identity, multiply( Y, X ) ) ) ), inverse( 'greatest_lower_bound'(
% 131.53/131.95 inverse( X ), Y ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93280, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93283, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 131.53/131.95 multiply( Y, X ), identity ) ), 'greatest_lower_bound'( Y, inverse( X ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 117, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X
% 131.53/131.95 ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 131.53/131.95 , 0, clause( 93280, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 131.53/131.95 ), X ) ) ] )
% 131.53/131.95 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, 'greatest_lower_bound'( Y, inverse( X ) ) ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93284, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( Y
% 131.53/131.95 , X ), identity ) ), 'greatest_lower_bound'( Y, inverse( X ) ) ), inverse(
% 131.53/131.95 X ) ) ] )
% 131.53/131.95 , clause( 93283, [ =( inverse( X ), multiply( inverse(
% 131.53/131.95 'greatest_lower_bound'( multiply( Y, X ), identity ) ),
% 131.53/131.95 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 3103, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X,
% 131.53/131.95 Y ), identity ) ), 'greatest_lower_bound'( X, inverse( Y ) ) ), inverse(
% 131.53/131.95 Y ) ) ] )
% 131.53/131.95 , clause( 93284, [ =( multiply( inverse( 'greatest_lower_bound'( multiply(
% 131.53/131.95 Y, X ), identity ) ), 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 131.53/131.95 inverse( X ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93286, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 131.53/131.95 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 131.53/131.95 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , clause( 70, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 131.53/131.95 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 131.53/131.95 'greatest_lower_bound'( Y, Z ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93289, [ =( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.95 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.95 , clause( 731, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.95 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, clause( 93286, [ =( 'greatest_lower_bound'( Y, Z ),
% 131.53/131.95 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 131.53/131.95 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 131.53/131.95 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.95 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93294, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 131.53/131.95 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 131.53/131.95 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 131.53/131.95 , clause( 93289, [ =( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.95 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 3991, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 131.53/131.95 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 131.53/131.95 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 131.53/131.95 , clause( 93294, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 131.53/131.95 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 131.53/131.95 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93296, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 131.53/131.95 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.95 , clause( 119, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 131.53/131.95 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93301, [ =( multiply( 'greatest_lower_bound'(
% 131.53/131.95 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 131.53/131.95 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 131.53/131.95 , identity ) ) ) ) ] )
% 131.53/131.95 , clause( 2751, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , 0, clause( 93296, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 131.53/131.95 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.95 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.95 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93302, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 131.53/131.95 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 131.53/131.95 , identity ) ) ) ) ] )
% 131.53/131.95 , clause( 56, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 131.53/131.95 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 131.53/131.95 , 0, clause( 93301, [ =( multiply( 'greatest_lower_bound'(
% 131.53/131.95 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 131.53/131.95 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 131.53/131.95 , identity ) ) ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 131.53/131.95 1, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93303, [ =( X, 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 2751, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , 0, clause( 93302, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.95 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 131.53/131.95 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 131.53/131.95 , identity ) ) ) ) ] )
% 131.53/131.95 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93304, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 93303, [ =( X, 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 5104, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 93304, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93305, [ =( X, 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 5104, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93306, [ =( X, 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 131.53/131.95 , clause( 515, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 131.53/131.95 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93305, [ =( X, 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93312, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , clause( 93306, [ =( X, 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 5122, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , clause( 93312, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93316, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.95 , clause( 103, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 131.53/131.95 'least_upper_bound'( Y, identity ), X ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93321, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 131.53/131.95 identity ) ) ), 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 2741, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 131.53/131.95 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , 0, clause( 93316, [ =( multiply( 'least_upper_bound'( X, identity ), Y )
% 131.53/131.95 , 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 131.53/131.95 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.95 'least_upper_bound'( identity, X ) ), :=( Y, inverse( 'least_upper_bound'(
% 131.53/131.95 inverse( X ), identity ) ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93322, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 131.53/131.95 'least_upper_bound'( inverse( X ), identity ) ) ), 'least_upper_bound'( X
% 131.53/131.95 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.95 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.95 , 0, clause( 93321, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.95 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 131.53/131.95 identity ) ) ), 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 131.53/131.95 1, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93323, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 2741, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 131.53/131.95 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , 0, clause( 93322, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.95 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ),
% 131.53/131.95 'least_upper_bound'( X, inverse( 'least_upper_bound'( inverse( X ),
% 131.53/131.95 identity ) ) ) ) ] )
% 131.53/131.95 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93324, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 93323, [ =( X, 'least_upper_bound'( X, inverse(
% 131.53/131.95 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 5275, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , clause( 93324, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93325, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , clause( 5275, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93326, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 identity, inverse( X ) ) ) ) ) ] )
% 131.53/131.95 , clause( 550, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 131.53/131.95 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93325, [ =( X, 'least_upper_bound'( X, inverse(
% 131.53/131.95 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.95 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93332, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 identity, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , clause( 93326, [ =( X, 'least_upper_bound'( X, inverse(
% 131.53/131.95 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 5297, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 identity, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , clause( 93332, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.95 identity, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93335, [ =( multiply( 'least_upper_bound'( Y, X ), inverse( Y ) ),
% 131.53/131.95 'least_upper_bound'( identity, multiply( X, inverse( Y ) ) ) ) ] )
% 131.53/131.95 , clause( 252, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 131.53/131.95 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93339, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 131.53/131.95 inverse( X ) ), multiply( inverse( Y ), 'least_upper_bound'( Y, inverse(
% 131.53/131.95 X ) ) ) ) ] )
% 131.53/131.95 , clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 131.53/131.95 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93335, [ =( multiply( 'least_upper_bound'( Y, X ), inverse( Y
% 131.53/131.95 ) ), 'least_upper_bound'( identity, multiply( X, inverse( Y ) ) ) ) ] )
% 131.53/131.95 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 131.53/131.95 substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93340, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 131.53/131.95 inverse( X ) ), 'least_upper_bound'( identity, inverse( multiply( X, Y )
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 1800, [ =( multiply( inverse( X ), 'least_upper_bound'( X,
% 131.53/131.95 inverse( Y ) ) ), 'least_upper_bound'( identity, inverse( multiply( Y, X
% 131.53/131.95 ) ) ) ) ] )
% 131.53/131.95 , 0, clause( 93339, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 131.53/131.95 inverse( X ) ), multiply( inverse( Y ), 'least_upper_bound'( Y, inverse(
% 131.53/131.95 X ) ) ) ) ] )
% 131.53/131.95 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 8098, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ),
% 131.53/131.95 inverse( Y ) ), 'least_upper_bound'( identity, inverse( multiply( Y, X )
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , clause( 93340, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 131.53/131.95 inverse( X ) ), 'least_upper_bound'( identity, inverse( multiply( X, Y )
% 131.53/131.95 ) ) ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93343, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 131.53/131.95 , clause( 253, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 131.53/131.95 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93344, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) ),
% 131.53/131.95 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 131.53/131.95 , clause( 16, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c )
% 131.53/131.95 ) ] )
% 131.53/131.95 , 0, clause( 93343, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y
% 131.53/131.95 ) ), 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 131.53/131.95 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c )] )
% 131.53/131.95 ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 8287, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) ),
% 131.53/131.95 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 131.53/131.95 , clause( 93344, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) )
% 131.53/131.95 , 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 131.53/131.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93347, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 258, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93350, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 131.53/131.95 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 257, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 131.53/131.95 , 0, clause( 93347, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 131.53/131.95 ), X ) ) ] )
% 131.53/131.95 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, Y ), :=( Y, 'least_upper_bound'( X, inverse( Y ) ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93351, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 131.53/131.95 ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , clause( 93350, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 131.53/131.95 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 8556, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 131.53/131.95 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 93351, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 131.53/131.95 X ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93353, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93356, [ =( X, multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.95 identity ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ) ) ] )
% 131.53/131.95 , clause( 257, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 131.53/131.95 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 131.53/131.95 , 0, clause( 93353, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 131.53/131.95 )
% 131.53/131.95 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, 'least_upper_bound'( Y, inverse( X ) ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93357, [ =( multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.95 identity ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , clause( 93356, [ =( X, multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.95 identity ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 8557, [ =( multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.95 identity ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , clause( 93357, [ =( multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.95 identity ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93359, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 131.53/131.95 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 259, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 131.53/131.95 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93364, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 131.53/131.95 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 5122, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , 0, clause( 93359, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 131.53/131.95 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 131.53/131.95 Y ) ) ) ] )
% 131.53/131.95 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 131.53/131.95 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'greatest_lower_bound'(
% 131.53/131.95 identity, inverse( multiply( X, Y ) ) ) ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93365, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 131.53/131.95 inverse( Y ) ) ), X ) ] )
% 131.53/131.95 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.95 , 0, clause( 93364, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 131.53/131.95 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.95 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93366, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 131.53/131.95 ) ] )
% 131.53/131.95 , clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.95 multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93365, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 131.53/131.95 inverse( Y ) ) ), X ) ] )
% 131.53/131.95 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'(
% 131.53/131.95 identity, inverse( multiply( X, Y ) ) ) )] ), substitution( 1, [ :=( X, X
% 131.53/131.95 ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93367, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 276, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse(
% 131.53/131.95 multiply( Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse(
% 131.53/131.95 Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93366, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 131.53/131.95 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 131.53/131.95 ) ] )
% 131.53/131.95 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 131.53/131.95 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93368, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.95 , 0, clause( 93367, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 131.53/131.95 ] )
% 131.53/131.95 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.95 :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 subsumption(
% 131.53/131.95 clause( 8590, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , clause( 93368, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.95 )] ) ).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 eqswap(
% 131.53/131.95 clause( 93371, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 131.53/131.95 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , clause( 259, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 131.53/131.95 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 131.53/131.95 ) ) ] )
% 131.53/131.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93376, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 131.53/131.95 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.95 , clause( 5104, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.95 , 0, clause( 93371, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 131.53/131.95 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 131.53/131.95 Y ) ) ) ] )
% 131.53/131.95 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 131.53/131.95 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'greatest_lower_bound'(
% 131.53/131.95 inverse( multiply( X, Y ) ), identity ) ) )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93377, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 131.53/131.95 inverse( Y ) ) ), X ) ] )
% 131.53/131.95 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.95 , 0, clause( 93376, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 131.53/131.95 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.95 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.95 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93378, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 131.53/131.95 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ) ) ), X
% 131.53/131.95 ) ] )
% 131.53/131.95 , clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.95 multiply( X, Y ) ) ) ] )
% 131.53/131.95 , 0, clause( 93377, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 131.53/131.95 inverse( Y ) ) ), X ) ] )
% 131.53/131.95 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'(
% 131.53/131.95 inverse( multiply( X, Y ) ), identity ) )] ), substitution( 1, [ :=( X, X
% 131.53/131.95 ), :=( Y, Y )] )).
% 131.53/131.95
% 131.53/131.95
% 131.53/131.95 paramod(
% 131.53/131.95 clause( 93379, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.95 'greatest_lower_bound'( inverse( X ), multiply( Y, identity ) ) ) ), X )
% 131.53/131.95 ] )
% 131.53/131.95 , clause( 275, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 131.53/131.95 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 131.53/131.95 ) ] )
% 131.53/131.95 , 0, clause( 93378, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 131.53/131.95 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ) ) ), X
% 131.53/131.95 ) ] )
% 131.53/131.95 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93380, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 131.53/131.96 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.96 , 0, clause( 93379, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), multiply( Y, identity ) ) ) ), X )
% 131.53/131.96 ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8591, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 131.53/131.96 , clause( 93380, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93383, [ =( X, 'greatest_lower_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 131.53/131.96 , clause( 8590, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93384, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 131.53/131.96 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93383, [ =( X, 'greatest_lower_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.96 X ) ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93385, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , clause( 93384, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 131.53/131.96 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8634, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , clause( 93385, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93387, [ =( X, 'greatest_lower_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 131.53/131.96 , clause( 8591, [ =( 'greatest_lower_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93388, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93387, [ =( X, 'greatest_lower_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.96 X ) ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93389, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , clause( 93388, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8683, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , clause( 93389, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93391, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.96 , Y ) ) ] )
% 131.53/131.96 , clause( 66, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 131.53/131.96 , X ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93392, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.96 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , clause( 8683, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , 0, clause( 93391, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 131.53/131.96 , Y ), Y ) ) ] )
% 131.53/131.96 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, inverse( X ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93393, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , clause( 93392, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.96 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8724, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , clause( 93393, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93395, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 131.53/131.96 , Y ) ) ] )
% 131.53/131.96 , clause( 66, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 131.53/131.96 , X ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93396, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.96 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , clause( 8634, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , 0, clause( 93395, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 131.53/131.96 , Y ), Y ) ) ] )
% 131.53/131.96 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, inverse( Y ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93397, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , clause( 93396, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.96 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8759, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , clause( 93397, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93399, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , clause( 62, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 131.53/131.96 , X ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93400, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.96 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 131.53/131.96 Y ) ) ) ] )
% 131.53/131.96 , clause( 8634, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , 0, clause( 93399, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 131.53/131.96 Y, X ) ) ) ] )
% 131.53/131.96 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93401, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 131.53/131.96 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.96 , clause( 93400, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 131.53/131.96 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 131.53/131.96 Y ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8760, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 131.53/131.96 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 131.53/131.96 , clause( 93401, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93403, [ =( 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ),
% 131.53/131.96 multiply( 'least_upper_bound'( multiply( X, Y ), Z ), inverse( Y ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , clause( 261, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z ),
% 131.53/131.96 inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93408, [ =( 'least_upper_bound'( X, multiply( inverse(
% 131.53/131.96 'least_upper_bound'( identity, inverse( multiply( X, Y ) ) ) ), inverse(
% 131.53/131.96 Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.96 , clause( 5297, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 identity, inverse( X ) ) ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93403, [ =( 'least_upper_bound'( X, multiply( Z, inverse( Y )
% 131.53/131.96 ) ), multiply( 'least_upper_bound'( multiply( X, Y ), Z ), inverse( Y )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 131.53/131.96 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'least_upper_bound'( identity
% 131.53/131.96 , inverse( multiply( X, Y ) ) ) ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93409, [ =( 'least_upper_bound'( X, multiply( inverse(
% 131.53/131.96 'least_upper_bound'( identity, inverse( multiply( X, Y ) ) ) ), inverse(
% 131.53/131.96 Y ) ) ), X ) ] )
% 131.53/131.96 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.96 , 0, clause( 93408, [ =( 'least_upper_bound'( X, multiply( inverse(
% 131.53/131.96 'least_upper_bound'( identity, inverse( multiply( X, Y ) ) ) ), inverse(
% 131.53/131.96 Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.96 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93410, [ =( 'least_upper_bound'( X, inverse( multiply( Y,
% 131.53/131.96 'least_upper_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X ) ]
% 131.53/131.96 )
% 131.53/131.96 , clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.96 multiply( X, Y ) ) ) ] )
% 131.53/131.96 , 0, clause( 93409, [ =( 'least_upper_bound'( X, multiply( inverse(
% 131.53/131.96 'least_upper_bound'( identity, inverse( multiply( X, Y ) ) ) ), inverse(
% 131.53/131.96 Y ) ) ), X ) ] )
% 131.53/131.96 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'least_upper_bound'( identity
% 131.53/131.96 , inverse( multiply( X, Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=(
% 131.53/131.96 Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93411, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 multiply( Y, identity ), inverse( X ) ) ) ), X ) ] )
% 131.53/131.96 , clause( 278, [ =( multiply( X, 'least_upper_bound'( Z, inverse( multiply(
% 131.53/131.96 Y, X ) ) ) ), 'least_upper_bound'( multiply( X, Z ), inverse( Y ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, clause( 93410, [ =( 'least_upper_bound'( X, inverse( multiply( Y,
% 131.53/131.96 'least_upper_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93412, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 131.53/131.96 , inverse( X ) ) ) ), X ) ] )
% 131.53/131.96 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.96 , 0, clause( 93411, [ =( 'least_upper_bound'( X, inverse(
% 131.53/131.96 'least_upper_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8789, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 131.53/131.96 , inverse( X ) ) ) ), X ) ] )
% 131.53/131.96 , clause( 93412, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93415, [ =( 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ),
% 131.53/131.96 multiply( 'least_upper_bound'( multiply( X, Y ), Z ), inverse( Y ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , clause( 261, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z ),
% 131.53/131.96 inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93420, [ =( 'least_upper_bound'( X, multiply( inverse(
% 131.53/131.96 'least_upper_bound'( inverse( multiply( X, Y ) ), identity ) ), inverse(
% 131.53/131.96 Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.96 , clause( 5275, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93415, [ =( 'least_upper_bound'( X, multiply( Z, inverse( Y )
% 131.53/131.96 ) ), multiply( 'least_upper_bound'( multiply( X, Y ), Z ), inverse( Y )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 131.53/131.96 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'least_upper_bound'( inverse(
% 131.53/131.96 multiply( X, Y ) ), identity ) ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93421, [ =( 'least_upper_bound'( X, multiply( inverse(
% 131.53/131.96 'least_upper_bound'( inverse( multiply( X, Y ) ), identity ) ), inverse(
% 131.53/131.96 Y ) ) ), X ) ] )
% 131.53/131.96 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.96 , 0, clause( 93420, [ =( 'least_upper_bound'( X, multiply( inverse(
% 131.53/131.96 'least_upper_bound'( inverse( multiply( X, Y ) ), identity ) ), inverse(
% 131.53/131.96 Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 131.53/131.96 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93422, [ =( 'least_upper_bound'( X, inverse( multiply( Y,
% 131.53/131.96 'least_upper_bound'( inverse( multiply( X, Y ) ), identity ) ) ) ), X ) ]
% 131.53/131.96 )
% 131.53/131.96 , clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.96 multiply( X, Y ) ) ) ] )
% 131.53/131.96 , 0, clause( 93421, [ =( 'least_upper_bound'( X, multiply( inverse(
% 131.53/131.96 'least_upper_bound'( inverse( multiply( X, Y ) ), identity ) ), inverse(
% 131.53/131.96 Y ) ) ), X ) ] )
% 131.53/131.96 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'least_upper_bound'( inverse(
% 131.53/131.96 multiply( X, Y ) ), identity ) )] ), substitution( 1, [ :=( X, X ), :=( Y
% 131.53/131.96 , Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93423, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 inverse( X ), multiply( Y, identity ) ) ) ), X ) ] )
% 131.53/131.96 , clause( 277, [ =( multiply( X, 'least_upper_bound'( inverse( multiply( Y
% 131.53/131.96 , X ) ), Z ) ), 'least_upper_bound'( inverse( Y ), multiply( X, Z ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, clause( 93422, [ =( 'least_upper_bound'( X, inverse( multiply( Y,
% 131.53/131.96 'least_upper_bound'( inverse( multiply( X, Y ) ), identity ) ) ) ), X ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93424, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 inverse( X ), Y ) ) ), X ) ] )
% 131.53/131.96 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.96 , 0, clause( 93423, [ =( 'least_upper_bound'( X, inverse(
% 131.53/131.96 'least_upper_bound'( inverse( X ), multiply( Y, identity ) ) ) ), X ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8790, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 inverse( X ), Y ) ) ), X ) ] )
% 131.53/131.96 , clause( 93424, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 inverse( X ), Y ) ) ), X ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93427, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.96 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93453, [ =( 'least_upper_bound'( X, Z ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( Z, X ), inverse( 'least_upper_bound'( Y, inverse( X
% 131.53/131.96 ) ) ) ) ) ] )
% 131.53/131.96 , clause( 8789, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93427, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 131.53/131.96 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, Z ), :=( Y, X ), :=( Z, inverse( 'least_upper_bound'( Y, inverse(
% 131.53/131.96 X ) ) ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93457, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 131.53/131.96 inverse( 'least_upper_bound'( Z, inverse( X ) ) ) ), 'least_upper_bound'(
% 131.53/131.96 X, Y ) ) ] )
% 131.53/131.96 , clause( 93453, [ =( 'least_upper_bound'( X, Z ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( Z, X ), inverse( 'least_upper_bound'( Y, inverse( X
% 131.53/131.96 ) ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8834, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ),
% 131.53/131.96 inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), 'least_upper_bound'(
% 131.53/131.96 X, Z ) ) ] )
% 131.53/131.96 , clause( 93457, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 131.53/131.96 inverse( 'least_upper_bound'( Z, inverse( X ) ) ) ), 'least_upper_bound'(
% 131.53/131.96 X, Y ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 131.53/131.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93461, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , clause( 44, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 131.53/131.96 , X ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93462, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 131.53/131.96 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 131.53/131.96 , Y ) ) ] )
% 131.53/131.96 , clause( 8789, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93461, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 131.53/131.96 Y, X ) ) ) ] )
% 131.53/131.96 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93463, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 131.53/131.96 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , clause( 93462, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 131.53/131.96 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 131.53/131.96 , Y ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8838, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( Y
% 131.53/131.96 , inverse( X ) ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , clause( 93463, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93465, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 inverse( X ), Y ) ) ) ) ] )
% 131.53/131.96 , clause( 8790, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 inverse( X ), Y ) ) ), X ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93466, [ =( inverse( X ), 'least_upper_bound'( inverse( X ),
% 131.53/131.96 inverse( 'least_upper_bound'( X, Y ) ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93465, [ =( X, 'least_upper_bound'( X, inverse(
% 131.53/131.96 'least_upper_bound'( inverse( X ), Y ) ) ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 131.53/131.96 X ) ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93467, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , clause( 93466, [ =( inverse( X ), 'least_upper_bound'( inverse( X ),
% 131.53/131.96 inverse( 'least_upper_bound'( X, Y ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 8876, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , clause( 93467, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93469, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 131.53/131.96 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.96 , clause( 1008, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 131.53/131.96 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93472, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 131.53/131.96 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 131.53/131.96 identity ) ) ) ) ] )
% 131.53/131.96 , clause( 239, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 131.53/131.96 , 0, clause( 93469, [ =( X, multiply( 'least_upper_bound'( X, multiply( X,
% 131.53/131.96 Y ) ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93473, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 131.53/131.96 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 131.53/131.96 Y ) ) ] )
% 131.53/131.96 , clause( 93472, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 131.53/131.96 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 131.53/131.96 identity ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 10204, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 131.53/131.96 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 131.53/131.96 Y ) ) ] )
% 131.53/131.96 , clause( 93473, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X )
% 131.53/131.96 , inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X
% 131.53/131.96 , Y ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93474, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 131.53/131.96 identity ), multiply( 'least_upper_bound'( a, c ), inverse( c ) ) ) ] )
% 131.53/131.96 , clause( 8287, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) )
% 131.53/131.96 , 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93475, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ),
% 131.53/131.96 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 131.53/131.96 , clause( 253, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 131.53/131.96 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93476, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 131.53/131.96 identity ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity )
% 131.53/131.96 ) ] )
% 131.53/131.96 , clause( 93475, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) )
% 131.53/131.96 , 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 131.53/131.96 , 0, clause( 93474, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 131.53/131.96 identity ), multiply( 'least_upper_bound'( a, c ), inverse( c ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 23026, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 131.53/131.96 identity ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity )
% 131.53/131.96 ) ] )
% 131.53/131.96 , clause( 93476, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 131.53/131.96 identity ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity )
% 131.53/131.96 ) ] )
% 131.53/131.96 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93478, [ =( multiply( X, 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.96 identity, Y ), Z ) ), 'least_upper_bound'( X, multiply( X,
% 131.53/131.96 'least_upper_bound'( Y, Z ) ) ) ) ] )
% 131.53/131.96 , clause( 973, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.96 'least_upper_bound'( Y, Z ) ) ), multiply( X, 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( identity, Y ), Z ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93479, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.96 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.96 , clause( 1516, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 131.53/131.96 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93485, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity, X )
% 131.53/131.96 ), 'least_upper_bound'( 'least_upper_bound'( identity, X ), multiply(
% 131.53/131.96 'least_upper_bound'( identity, X ), 'least_upper_bound'( X, identity ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , clause( 93478, [ =( multiply( X, 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.96 identity, Y ), Z ) ), 'least_upper_bound'( X, multiply( X,
% 131.53/131.96 'least_upper_bound'( Y, Z ) ) ) ) ] )
% 131.53/131.96 , 0, clause( 93479, [ =( multiply( 'least_upper_bound'( identity, X ), X )
% 131.53/131.96 , multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.96 , 0, 10, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X,
% 131.53/131.96 'least_upper_bound'( identity, X ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93486, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity, X )
% 131.53/131.96 ), multiply( 'least_upper_bound'( identity, X ), 'least_upper_bound'( X
% 131.53/131.96 , identity ) ) ) ] )
% 131.53/131.96 , clause( 753, [ =( 'least_upper_bound'( X, multiply( X,
% 131.53/131.96 'least_upper_bound'( Y, identity ) ) ), multiply( X, 'least_upper_bound'(
% 131.53/131.96 Y, identity ) ) ) ] )
% 131.53/131.96 , 0, clause( 93485, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity, X )
% 131.53/131.96 ), 'least_upper_bound'( 'least_upper_bound'( identity, X ), multiply(
% 131.53/131.96 'least_upper_bound'( identity, X ), 'least_upper_bound'( X, identity ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , 0, 10, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93487, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity, X )
% 131.53/131.96 ), 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), X
% 131.53/131.96 ), identity ) ) ] )
% 131.53/131.96 , clause( 2608, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( multiply(
% 131.53/131.96 'least_upper_bound'( identity, X ), X ), identity ) ) ] )
% 131.53/131.96 , 0, clause( 93486, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity, X )
% 131.53/131.96 ), multiply( 'least_upper_bound'( identity, X ), 'least_upper_bound'( X
% 131.53/131.96 , identity ) ) ) ] )
% 131.53/131.96 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93488, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.96 identity, identity ), X ), 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.96 , 0, clause( 93487, [ =( multiply( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity, X )
% 131.53/131.96 ), 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), X
% 131.53/131.96 ), identity ) ) ] )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, identity ), :=( Z, X )] )
% 131.53/131.96 , substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93489, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( multiply(
% 131.53/131.96 'least_upper_bound'( identity, X ), X ), identity ) ) ] )
% 131.53/131.96 , clause( 7, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 131.53/131.96 , 0, clause( 93488, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.96 identity, identity ), X ), 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 131.53/131.96 X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 26934, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( multiply(
% 131.53/131.96 'least_upper_bound'( identity, X ), X ), identity ) ) ] )
% 131.53/131.96 , clause( 93489, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( multiply(
% 131.53/131.96 'least_upper_bound'( identity, X ), X ), identity ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93492, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 131.53/131.96 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.96 , clause( 1650, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 131.53/131.96 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93499, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 131.53/131.96 inverse( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( identity, X ) ) ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( identity, X ), identity ) ) ) ] )
% 131.53/131.96 , clause( 776, [ =( 'least_upper_bound'( multiply( X, 'least_upper_bound'(
% 131.53/131.96 identity, Y ) ), X ), multiply( X, 'least_upper_bound'( identity, Y ) ) )
% 131.53/131.96 ] )
% 131.53/131.96 , 0, clause( 93492, [ =( inverse( Y ), multiply( inverse(
% 131.53/131.96 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 131.53/131.96 identity ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 :=( Y, X )] ), substitution( 1, [ :=( X, 'least_upper_bound'( identity, X
% 131.53/131.96 ) ), :=( Y, 'least_upper_bound'( identity, X ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93501, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 131.53/131.96 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 131.53/131.96 ), X ), identity ) ), 'least_upper_bound'( 'least_upper_bound'( identity
% 131.53/131.96 , X ), identity ) ) ) ] )
% 131.53/131.96 , clause( 26934, [ =( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( multiply(
% 131.53/131.96 'least_upper_bound'( identity, X ), X ), identity ) ) ] )
% 131.53/131.96 , 0, clause( 93499, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 multiply( inverse( multiply( 'least_upper_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( identity, X ) ) ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( identity, X ), identity ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93502, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 131.53/131.96 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 131.53/131.96 ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.96 , 0, clause( 93501, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 131.53/131.96 identity, X ), X ), identity ) ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( identity, X ), identity ) ) ) ] )
% 131.53/131.96 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93503, [ =( inverse( 'least_upper_bound'( identity, X ) ), inverse(
% 131.53/131.96 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )
% 131.53/131.96 ) ] )
% 131.53/131.96 , clause( 8556, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 131.53/131.96 ), identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 131.53/131.96 ) ] )
% 131.53/131.96 , 0, clause( 93502, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 131.53/131.96 identity, X ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) )
% 131.53/131.96 ] )
% 131.53/131.96 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93504, [ =( inverse( 'least_upper_bound'( X, inverse(
% 131.53/131.96 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ) ) ] )
% 131.53/131.96 , clause( 93503, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 inverse( 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity,
% 131.53/131.96 X ) ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 31873, [ =( inverse( 'least_upper_bound'( X, inverse(
% 131.53/131.96 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ) ) ] )
% 131.53/131.96 , clause( 93504, [ =( inverse( 'least_upper_bound'( X, inverse(
% 131.53/131.96 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93506, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 131.53/131.96 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.96 , clause( 1650, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 131.53/131.96 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93511, [ =( inverse( inverse( 'least_upper_bound'( identity, X ) )
% 131.53/131.96 ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 131.53/131.96 'least_upper_bound'( identity, X ) ) ) ), 'least_upper_bound'( multiply(
% 131.53/131.96 'least_upper_bound'( identity, X ), X ), identity ) ) ) ] )
% 131.53/131.96 , clause( 2615, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 131.53/131.96 , X ), inverse( 'least_upper_bound'( identity, X ) ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93506, [ =( inverse( Y ), multiply( inverse(
% 131.53/131.96 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 131.53/131.96 identity ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.96 multiply( 'least_upper_bound'( identity, X ), X ) ), :=( Y, inverse(
% 131.53/131.96 'least_upper_bound'( identity, X ) ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93512, [ =( inverse( inverse( 'least_upper_bound'( identity, X ) )
% 131.53/131.96 ), multiply( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.96 identity ) ) ) ] )
% 131.53/131.96 , clause( 31873, [ =( inverse( 'least_upper_bound'( X, inverse(
% 131.53/131.96 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ) ) ] )
% 131.53/131.96 , 0, clause( 93511, [ =( inverse( inverse( 'least_upper_bound'( identity, X
% 131.53/131.96 ) ) ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 131.53/131.96 'least_upper_bound'( identity, X ) ) ) ), 'least_upper_bound'( multiply(
% 131.53/131.96 'least_upper_bound'( identity, X ), X ), identity ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93513, [ =( inverse( inverse( 'least_upper_bound'( identity, X ) )
% 131.53/131.96 ), 'least_upper_bound'( X, multiply( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), identity ) ) ) ] )
% 131.53/131.96 , clause( 1686, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 131.53/131.96 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, clause( 93512, [ =( inverse( inverse( 'least_upper_bound'( identity, X
% 131.53/131.96 ) ) ), multiply( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), X ),
% 131.53/131.96 identity ) ) ) ] )
% 131.53/131.96 , 0, 6, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93514, [ =( inverse( inverse( 'least_upper_bound'( identity, X ) )
% 131.53/131.96 ), 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.96 , 0, clause( 93513, [ =( inverse( inverse( 'least_upper_bound'( identity, X
% 131.53/131.96 ) ) ), 'least_upper_bound'( X, multiply( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), identity ) ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, inverse( 'least_upper_bound'( identity, X
% 131.53/131.96 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93515, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 131.53/131.96 X, inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93514, [ =( inverse( inverse( 'least_upper_bound'( identity, X
% 131.53/131.96 ) ) ), 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93516, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , clause( 93515, [ =( 'least_upper_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )
% 131.53/131.96 ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 31875, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , clause( 93516, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93518, [ =( 'least_upper_bound'( Y, X ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, Y ), inverse( 'least_upper_bound'( Z, inverse( Y
% 131.53/131.96 ) ) ) ) ) ] )
% 131.53/131.96 , clause( 8834, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ),
% 131.53/131.96 inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), 'least_upper_bound'(
% 131.53/131.96 X, Z ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93523, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), X ), 'least_upper_bound'( 'least_upper_bound'( identity
% 131.53/131.96 , X ), inverse( 'least_upper_bound'( Y, inverse( inverse(
% 131.53/131.96 'least_upper_bound'( identity, X ) ) ) ) ) ) ) ] )
% 131.53/131.96 , clause( 31875, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , 0, clause( 93518, [ =( 'least_upper_bound'( Y, X ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, Y ), inverse( 'least_upper_bound'( Z, inverse( Y
% 131.53/131.96 ) ) ) ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, inverse( 'least_upper_bound'( identity, X ) ) ), :=( Z, Y )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93525, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), X ), 'least_upper_bound'( 'least_upper_bound'( identity
% 131.53/131.96 , X ), inverse( 'least_upper_bound'( Y, 'least_upper_bound'( identity, X
% 131.53/131.96 ) ) ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93523, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), X ), 'least_upper_bound'( 'least_upper_bound'( identity
% 131.53/131.96 , X ), inverse( 'least_upper_bound'( Y, inverse( inverse(
% 131.53/131.96 'least_upper_bound'( identity, X ) ) ) ) ) ) ) ] )
% 131.53/131.96 , 0, 14, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] )
% 131.53/131.96 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93526, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), X ), 'least_upper_bound'( 'least_upper_bound'( identity
% 131.53/131.96 , X ), inverse( 'least_upper_bound'( 'least_upper_bound'( Y, identity ),
% 131.53/131.96 X ) ) ) ) ] )
% 131.53/131.96 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.96 , 0, clause( 93525, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), X ), 'least_upper_bound'( 'least_upper_bound'( identity
% 131.53/131.96 , X ), inverse( 'least_upper_bound'( Y, 'least_upper_bound'( identity, X
% 131.53/131.96 ) ) ) ) ) ] )
% 131.53/131.96 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, identity ), :=( Z, X )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93527, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , clause( 2506, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, Z
% 131.53/131.96 ), inverse( 'least_upper_bound'( 'least_upper_bound'( X, identity ), Y )
% 131.53/131.96 ) ), 'least_upper_bound'( identity, Z ) ) ] )
% 131.53/131.96 , 0, clause( 93526, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), X ), 'least_upper_bound'( 'least_upper_bound'( identity
% 131.53/131.96 , X ), inverse( 'least_upper_bound'( 'least_upper_bound'( Y, identity ),
% 131.53/131.96 X ) ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 31885, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , clause( 93527, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93529, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ),
% 131.53/131.96 inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.96 , clause( 1240, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 131.53/131.96 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93530, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 131.53/131.96 , clause( 31885, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93533, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 131.53/131.96 ), 'least_upper_bound'( inverse( multiply( identity, 'least_upper_bound'(
% 131.53/131.96 X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 93529, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) )
% 131.53/131.96 , inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 131.53/131.96 , 0, clause( 93530, [ =( 'least_upper_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 131.53/131.96 ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 131.53/131.96 1, [ :=( X, multiply( identity, X ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93536, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 131.53/131.96 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 131.53/131.96 multiply( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.96 , 0, clause( 93533, [ =( 'least_upper_bound'( identity, multiply( identity
% 131.53/131.96 , X ) ), 'least_upper_bound'( inverse( multiply( identity,
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93542, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 131.53/131.96 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.96 , 0, clause( 93536, [ =( 'least_upper_bound'( identity, multiply( identity
% 131.53/131.96 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 131.53/131.96 ), multiply( identity, X ) ) ) ] )
% 131.53/131.96 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93543, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'least_upper_bound'( X, identity ) ), X ) ) ] )
% 131.53/131.96 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.96 , 0, clause( 93542, [ =( 'least_upper_bound'( identity, multiply( identity
% 131.53/131.96 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 131.53/131.96 ), X ) ) ] )
% 131.53/131.96 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93545, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 131.53/131.96 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , clause( 93543, [ =( 'least_upper_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X ) )
% 131.53/131.96 ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 31913, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 131.53/131.96 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , clause( 93545, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 131.53/131.96 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93548, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 131.53/131.96 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.96 , clause( 81, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 131.53/131.96 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93552, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 131.53/131.96 X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 131.53/131.96 , clause( 31913, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 131.53/131.96 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 131.53/131.96 , 0, clause( 93548, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X
% 131.53/131.96 ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.96 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, inverse( 'least_upper_bound'( X, identity ) ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93553, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 131.53/131.96 X ) ), 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X,
% 131.53/131.96 identity ), X ) ), identity ) ) ] )
% 131.53/131.96 , clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.96 multiply( X, Y ) ) ) ] )
% 131.53/131.96 , 0, clause( 93552, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) ),
% 131.53/131.96 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93554, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 131.53/131.96 ), X ) ), identity ) ) ] )
% 131.53/131.96 , clause( 971, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 131.53/131.96 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 131.53/131.96 , 0, clause( 93553, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), 'least_upper_bound'( inverse( multiply(
% 131.53/131.96 'least_upper_bound'( X, identity ), X ) ), identity ) ) ] )
% 131.53/131.96 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93555, [ =( 'least_upper_bound'( inverse( multiply(
% 131.53/131.96 'least_upper_bound'( X, identity ), X ) ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.96 , clause( 93554, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 131.53/131.96 ), X ) ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 31943, [ =( 'least_upper_bound'( inverse( multiply(
% 131.53/131.96 'least_upper_bound'( X, identity ), X ) ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.96 , clause( 93555, [ =( 'least_upper_bound'( inverse( multiply(
% 131.53/131.96 'least_upper_bound'( X, identity ), X ) ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93557, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 131.53/131.96 ), X ) ), identity ) ) ] )
% 131.53/131.96 , clause( 31943, [ =( 'least_upper_bound'( inverse( multiply(
% 131.53/131.96 'least_upper_bound'( X, identity ), X ) ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93565, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 131.53/131.96 ), identity ) ) ] )
% 131.53/131.96 , clause( 1572, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 131.53/131.96 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 131.53/131.96 , 0, clause( 93557, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 131.53/131.96 ), X ) ), identity ) ) ] )
% 131.53/131.96 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93569, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , clause( 93565, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 131.53/131.96 ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 32109, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , clause( 93569, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93571, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 131.53/131.96 ), X ) ), identity ) ) ] )
% 131.53/131.96 , clause( 31943, [ =( 'least_upper_bound'( inverse( multiply(
% 131.53/131.96 'least_upper_bound'( X, identity ), X ) ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93577, [ =( 'least_upper_bound'( inverse( inverse(
% 131.53/131.96 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 131.53/131.96 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , clause( 32109, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , 0, clause( 93571, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 131.53/131.96 ), X ) ), identity ) ) ] )
% 131.53/131.96 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.96 inverse( 'least_upper_bound'( multiply( X, X ), X ) ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93578, [ =( 'least_upper_bound'( inverse( inverse(
% 131.53/131.96 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 131.53/131.96 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 131.53/131.96 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 131.53/131.96 ) ] )
% 131.53/131.96 , clause( 274, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 131.53/131.96 inverse( X ) ) ) ] )
% 131.53/131.96 , 0, clause( 93577, [ =( 'least_upper_bound'( inverse( inverse(
% 131.53/131.96 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 131.53/131.96 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 131.53/131.96 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , 0, 11, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( X ),
% 131.53/131.96 identity ) ), :=( Y, 'least_upper_bound'( multiply( X, X ), X ) )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93579, [ =( 'least_upper_bound'( inverse( inverse(
% 131.53/131.96 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 131.53/131.96 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 131.53/131.96 , clause( 10204, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X )
% 131.53/131.96 , inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X
% 131.53/131.96 , Y ) ) ] )
% 131.53/131.96 , 0, clause( 93578, [ =( 'least_upper_bound'( inverse( inverse(
% 131.53/131.96 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 131.53/131.96 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 131.53/131.96 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 131.53/131.96 ) ] )
% 131.53/131.96 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93580, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 131.53/131.96 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 131.53/131.96 ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93579, [ =( 'least_upper_bound'( inverse( inverse(
% 131.53/131.96 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 131.53/131.96 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( X, X ), X
% 131.53/131.96 ) )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 32111, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 131.53/131.96 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 131.53/131.96 ] )
% 131.53/131.96 , clause( 93580, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 131.53/131.96 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 131.53/131.96 ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93583, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 131.53/131.96 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 131.53/131.96 ] )
% 131.53/131.96 , clause( 1977, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Z
% 131.53/131.96 ), 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ), identity )
% 131.53/131.96 ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93586, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 131.53/131.96 inverse( X ), 'least_upper_bound'( multiply( X, X ), identity ) ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , clause( 32111, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 131.53/131.96 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 131.53/131.96 ) ] )
% 131.53/131.96 , 0, clause( 93583, [ =( identity, 'greatest_lower_bound'( identity,
% 131.53/131.96 multiply( inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X )
% 131.53/131.96 , Z ) ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, multiply( X, X ) ), :=( Z, identity )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93588, [ =( identity, 'greatest_lower_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, multiply( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.96 , clause( 1686, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 131.53/131.96 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, clause( 93586, [ =( identity, 'greatest_lower_bound'( identity,
% 131.53/131.96 multiply( inverse( X ), 'least_upper_bound'( multiply( X, X ), identity )
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, identity )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93589, [ =( identity, 'greatest_lower_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 131.53/131.96 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.96 , 0, clause( 93588, [ =( identity, 'greatest_lower_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, multiply( inverse( X ), identity ) ) ) ) ] )
% 131.53/131.96 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 131.53/131.96 :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93590, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.96 X, inverse( X ) ) ), identity ) ] )
% 131.53/131.96 , clause( 93589, [ =( identity, 'greatest_lower_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 32150, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.96 X, inverse( X ) ) ), identity ) ] )
% 131.53/131.96 , clause( 93590, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.96 X, inverse( X ) ) ), identity ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93592, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z )
% 131.53/131.96 ), 'least_upper_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 131.53/131.96 Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 131.53/131.96 , clause( 834, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X,
% 131.53/131.96 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ),
% 131.53/131.96 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93597, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.96 X, 'least_upper_bound'( Y, inverse( Y ) ) ) ), 'least_upper_bound'(
% 131.53/131.96 'greatest_lower_bound'( identity, 'least_upper_bound'( X,
% 131.53/131.96 'least_upper_bound'( Y, inverse( Y ) ) ) ), identity ) ) ] )
% 131.53/131.96 , clause( 32150, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.96 X, inverse( X ) ) ), identity ) ] )
% 131.53/131.96 , 0, clause( 93592, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 131.53/131.96 , Z ) ), 'least_upper_bound'( 'greatest_lower_bound'( X,
% 131.53/131.96 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 131.53/131.96 , 0, 18, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 131.53/131.96 identity ), :=( Y, X ), :=( Z, 'least_upper_bound'( Y, inverse( Y ) ) )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93599, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.96 X, 'least_upper_bound'( Y, inverse( Y ) ) ) ), identity ) ] )
% 131.53/131.96 , clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 131.53/131.96 , X ) ] )
% 131.53/131.96 , 0, clause( 93597, [ =( 'greatest_lower_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ),
% 131.53/131.96 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, identity ), :=( Y, 'least_upper_bound'( X
% 131.53/131.96 , 'least_upper_bound'( Y, inverse( Y ) ) ) )] ), substitution( 1, [ :=( X
% 131.53/131.96 , X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93600, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 131.53/131.96 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.96 , 0, clause( 93599, [ =( 'greatest_lower_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ),
% 131.53/131.96 identity ) ] )
% 131.53/131.96 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 131.53/131.96 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 32337, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 131.53/131.96 , clause( 93600, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93602, [ =( identity, 'greatest_lower_bound'( identity,
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 131.53/131.96 , clause( 32337, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93604, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( Y, X ), inverse( Y ) ), identity ) ) ] )
% 131.53/131.96 , clause( 817, [ =( 'greatest_lower_bound'( T, 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, Z ), Y ) ), 'greatest_lower_bound'(
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ), T ) ) ] )
% 131.53/131.96 , 0, clause( 93602, [ =( identity, 'greatest_lower_bound'( identity,
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, Y ),
% 131.53/131.96 :=( T, identity )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93605, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 131.53/131.96 , clause( 93604, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( Y, X ), inverse( Y ) ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 32808, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( Y, X ), inverse( Y ) ), identity ), identity ) ] )
% 131.53/131.96 , clause( 93605, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93607, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 131.53/131.96 , clause( 32808, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( Y, X ), inverse( Y ) ), identity ), identity ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93612, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), inverse( inverse( X ) ) ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , clause( 8724, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , 0, clause( 93607, [ =( identity, 'greatest_lower_bound'(
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, inverse( X ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93613, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), X ), identity ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93612, [ =( identity, 'greatest_lower_bound'(
% 131.53/131.96 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 131.53/131.96 inverse( X ) ) ), identity ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93614, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 131.53/131.96 , clause( 93613, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), X ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 33467, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 131.53/131.96 , clause( 93614, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93616, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 131.53/131.96 , clause( 32808, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( Y, X ), inverse( Y ) ), identity ), identity ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93621, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( Y, X ) ), inverse( inverse( X ) ) ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , clause( 8759, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , 0, clause( 93616, [ =( identity, 'greatest_lower_bound'(
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, inverse( X ) ), :=( Y, inverse( 'greatest_lower_bound'( Y, X ) ) )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93622, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), Y ), identity ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93621, [ =( identity, 'greatest_lower_bound'(
% 131.53/131.96 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 131.53/131.96 inverse( X ) ) ), identity ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 131.53/131.96 :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93623, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), Y ), identity ), identity ) ] )
% 131.53/131.96 , clause( 93622, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), Y ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 33468, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 131.53/131.96 , clause( 93623, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), Y ), identity ), identity ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93625, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 131.53/131.96 , Z ), X ), Y ) ) ] )
% 131.53/131.96 , clause( 71, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.96 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), X ), Y ),
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93626, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 131.53/131.96 , Y ) ), X ), 'least_upper_bound'( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), X ) ) ] )
% 131.53/131.96 , clause( 33467, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 131.53/131.96 , 0, clause( 93625, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 131.53/131.96 , Z ), X ), Y ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, X ), :=( Z,
% 131.53/131.96 identity )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93627, [ =( 'least_upper_bound'( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ) ), X ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 131.53/131.96 , clause( 93626, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 X, Y ) ), X ), 'least_upper_bound'( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ) ), X ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 34107, [ =( 'least_upper_bound'( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ) ), X ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 131.53/131.96 , clause( 93627, [ =( 'least_upper_bound'( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ) ), X ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93629, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 131.53/131.96 ), Z ) ), Y ) ) ] )
% 131.53/131.96 , clause( 475, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 131.53/131.96 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ), Y ),
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93630, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 131.53/131.96 , Y ) ), Y ), 'least_upper_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), identity ), Y ) ) ] )
% 131.53/131.96 , clause( 33468, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 131.53/131.96 , 0, clause( 93629, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 131.53/131.96 ), Z ) ), Y ) ) ] )
% 131.53/131.96 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, Y ), :=( Z,
% 131.53/131.96 identity )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93631, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), identity ), Y ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ] )
% 131.53/131.96 , clause( 93630, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 X, Y ) ), Y ), 'least_upper_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), identity ), Y ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 37816, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), identity ), Y ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ] )
% 131.53/131.96 , clause( 93631, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), identity ), Y ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93633, [ =( 'least_upper_bound'( identity, inverse( Y ) ), multiply(
% 131.53/131.96 inverse( multiply( X, Y ) ), 'least_upper_bound'( multiply( X, Y ), X ) )
% 131.53/131.96 ) ] )
% 131.53/131.96 , clause( 1807, [ =( multiply( inverse( multiply( X, Y ) ),
% 131.53/131.96 'least_upper_bound'( multiply( X, Y ), X ) ), 'least_upper_bound'(
% 131.53/131.96 identity, inverse( Y ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93641, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), multiply( inverse( multiply( inverse( X
% 131.53/131.96 ), 'least_upper_bound'( X, Y ) ) ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( multiply( inverse( X ), Y ), identity ), inverse( X
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , clause( 1825, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 131.53/131.96 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.96 , 0, clause( 93633, [ =( 'least_upper_bound'( identity, inverse( Y ) ),
% 131.53/131.96 multiply( inverse( multiply( X, Y ) ), 'least_upper_bound'( multiply( X,
% 131.53/131.96 Y ), X ) ) ) ] )
% 131.53/131.96 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93642, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), multiply( inverse( 'least_upper_bound'(
% 131.53/131.96 multiply( inverse( X ), Y ), identity ) ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( multiply( inverse( X ), Y ), identity ), inverse( X
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , clause( 1825, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 131.53/131.96 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 131.53/131.96 , 0, clause( 93641, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), multiply( inverse( multiply( inverse( X
% 131.53/131.96 ), 'least_upper_bound'( X, Y ) ) ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( multiply( inverse( X ), Y ), identity ), inverse( X
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93644, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 multiply( X, 'least_upper_bound'( multiply( inverse( X ), Y ), identity )
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , clause( 1800, [ =( multiply( inverse( X ), 'least_upper_bound'( X,
% 131.53/131.96 inverse( Y ) ) ), 'least_upper_bound'( identity, inverse( multiply( Y, X
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , 0, clause( 93642, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), multiply( inverse( 'least_upper_bound'(
% 131.53/131.96 multiply( inverse( X ), Y ), identity ) ), 'least_upper_bound'(
% 131.53/131.96 'least_upper_bound'( multiply( inverse( X ), Y ), identity ), inverse( X
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( inverse( X
% 131.53/131.96 ), Y ), identity ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=(
% 131.53/131.96 Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93645, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, multiply( X, identity ) ) ) ) ) ] )
% 131.53/131.96 , clause( 1684, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 131.53/131.96 ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 131.53/131.96 , 0, clause( 93644, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 multiply( X, 'least_upper_bound'( multiply( inverse( X ), Y ), identity )
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93646, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.96 , 0, clause( 93645, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, multiply( X, identity ) ) ) ) ) ] )
% 131.53/131.96 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 62452, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ) ) ] )
% 131.53/131.96 , clause( 93646, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93647, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 131.53/131.96 identity ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 131.53/131.96 , clause( 1656, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) )
% 131.53/131.96 , 'least_upper_bound'( multiply( Y, inverse( X ) ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93652, [ =( 'least_upper_bound'( multiply( inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ), inverse( identity ) ), identity ),
% 131.53/131.96 multiply( 'least_upper_bound'( identity, inverse( 'least_upper_bound'( Y
% 131.53/131.96 , X ) ) ), inverse( identity ) ) ) ] )
% 131.53/131.96 , clause( 62452, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ) ) ] )
% 131.53/131.96 , 0, clause( 93647, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 131.53/131.96 identity ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 131.53/131.96 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, identity ), :=( Y, inverse( 'least_upper_bound'( X, Y ) ) )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93654, [ =( 'least_upper_bound'( multiply( inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ), inverse( identity ) ), identity ),
% 131.53/131.96 'least_upper_bound'( identity, inverse( multiply( identity,
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ) ) ) ] )
% 131.53/131.96 , clause( 8098, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ),
% 131.53/131.96 inverse( Y ) ), 'least_upper_bound'( identity, inverse( multiply( Y, X )
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , 0, clause( 93652, [ =( 'least_upper_bound'( multiply( inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ), inverse( identity ) ), identity ),
% 131.53/131.96 multiply( 'least_upper_bound'( identity, inverse( 'least_upper_bound'( Y
% 131.53/131.96 , X ) ) ), inverse( identity ) ) ) ] )
% 131.53/131.96 , 0, 10, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y,
% 131.53/131.96 identity )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93655, [ =( 'least_upper_bound'( multiply( inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ), inverse( identity ) ), identity ),
% 131.53/131.96 'least_upper_bound'( identity, inverse( 'least_upper_bound'( Y, X ) ) ) )
% 131.53/131.96 ] )
% 131.53/131.96 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.96 , 0, clause( 93654, [ =( 'least_upper_bound'( multiply( inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ), inverse( identity ) ), identity ),
% 131.53/131.96 'least_upper_bound'( identity, inverse( multiply( identity,
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ) ) ) ] )
% 131.53/131.96 , 0, 13, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93656, [ =( 'least_upper_bound'( inverse( multiply( identity,
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), identity ), 'least_upper_bound'(
% 131.53/131.96 identity, inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.96 multiply( X, Y ) ) ) ] )
% 131.53/131.96 , 0, clause( 93655, [ =( 'least_upper_bound'( multiply( inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ), inverse( identity ) ), identity ),
% 131.53/131.96 'least_upper_bound'( identity, inverse( 'least_upper_bound'( Y, X ) ) ) )
% 131.53/131.96 ] )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, 'least_upper_bound'( X
% 131.53/131.96 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93657, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 131.53/131.96 ) ), identity ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.96 , 0, clause( 93656, [ =( 'least_upper_bound'( inverse( multiply( identity,
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), identity ), 'least_upper_bound'(
% 131.53/131.96 identity, inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93658, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ), identity ) ) ] )
% 131.53/131.96 , clause( 93657, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 131.53/131.96 , Y ) ), identity ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 63399, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ), identity ) ) ] )
% 131.53/131.96 , clause( 93658, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ), identity ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93660, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 131.53/131.96 ) ), identity ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ) ) ] )
% 131.53/131.96 , clause( 63399, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93663, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ),
% 131.53/131.96 identity ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , clause( 1069, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 131.53/131.96 , 0, clause( 93660, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 Y, X ) ), identity ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ) ) ] )
% 131.53/131.96 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y, 'greatest_lower_bound'( X
% 131.53/131.96 , Y ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93665, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 131.53/131.96 , Y ) ), identity ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , clause( 1069, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 131.53/131.96 , 0, clause( 93663, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ),
% 131.53/131.96 identity ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93666, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), identity ) ) ] )
% 131.53/131.96 , clause( 93665, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 X, Y ) ), identity ), 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 63405, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ), identity ) ) ] )
% 131.53/131.96 , clause( 93666, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), identity ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93670, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ), identity ), X ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 131.53/131.96 , clause( 63405, [ =( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ), identity ) ) ] )
% 131.53/131.96 , 0, clause( 34107, [ =( 'least_upper_bound'( 'least_upper_bound'( identity
% 131.53/131.96 , inverse( 'greatest_lower_bound'( X, Y ) ) ), X ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93671, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 131.53/131.96 , Y ) ), Y ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y, X
% 131.53/131.96 ) ), Y ) ) ] )
% 131.53/131.96 , clause( 37816, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ), identity ), Y ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ] )
% 131.53/131.96 , 0, clause( 93670, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ), identity ), X ), 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 131.53/131.96 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 80474, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 131.53/131.96 , X ) ), X ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ), X ) ) ] )
% 131.53/131.96 , clause( 93671, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 X, Y ) ), Y ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y, X
% 131.53/131.96 ) ), Y ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93673, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 131.53/131.96 , X ) ), Y ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ), Y ) ) ] )
% 131.53/131.96 , clause( 80474, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 Y, X ) ), X ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ), X ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93675, [ =( 'least_upper_bound'( X, inverse( 'greatest_lower_bound'(
% 131.53/131.96 X, Y ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y, X )
% 131.53/131.96 ), X ) ) ] )
% 131.53/131.96 , clause( 93673, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 Y, X ) ), Y ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y
% 131.53/131.96 ) ), Y ) ) ] )
% 131.53/131.96 , 0, clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 80527, [ =( 'least_upper_bound'( X, inverse( 'greatest_lower_bound'(
% 131.53/131.96 X, Y ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y, X )
% 131.53/131.96 ), X ) ) ] )
% 131.53/131.96 , clause( 93675, [ =( 'least_upper_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ), X ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93677, [ =( 'greatest_lower_bound'( identity, Y ),
% 131.53/131.96 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 131.53/131.96 , clause( 3991, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 131.53/131.96 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 131.53/131.96 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93678, [ =( 'greatest_lower_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 131.53/131.96 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 8838, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 Y, inverse( X ) ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , 0, clause( 93677, [ =( 'greatest_lower_bound'( identity, Y ),
% 131.53/131.96 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 131.53/131.96 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 131.53/131.96 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93679, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ] )
% 131.53/131.96 , clause( 93678, [ =( 'greatest_lower_bound'( identity, X ),
% 131.53/131.96 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 131.53/131.96 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 88842, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ] )
% 131.53/131.96 , clause( 93679, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93681, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 131.53/131.96 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 131.53/131.96 ] )
% 131.53/131.96 , clause( 1808, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 131.53/131.96 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93688, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 131.53/131.96 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 131.53/131.96 , clause( 88842, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ] )
% 131.53/131.96 , 0, clause( 93681, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 131.53/131.96 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 131.53/131.96 , Y ) ) ) ) ] )
% 131.53/131.96 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.96 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 131.53/131.96 'greatest_lower_bound'( identity, X ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93689, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 131.53/131.96 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 131.53/131.96 , clause( 262, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 131.53/131.96 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, clause( 93688, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 131.53/131.96 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 131.53/131.96 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 131.53/131.96 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93690, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 X ) ) ) ) ) ) ] )
% 131.53/131.96 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 131.53/131.96 , 0, clause( 93689, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 131.53/131.96 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 131.53/131.96 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93692, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93690, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 131.53/131.96 X ) ) ) ) ) ) ] )
% 131.53/131.96 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 131.53/131.96 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93693, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.96 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93692, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 131.53/131.96 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 131.53/131.96 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93698, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 131.53/131.96 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.96 , 0, clause( 93693, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.96 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 131.53/131.96 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 131.53/131.96 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 131.53/131.96 , [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93699, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.96 inverse( X ) ) ) ] )
% 131.53/131.96 , clause( 706, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , 0, clause( 93698, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 131.53/131.96 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93700, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 8760, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 131.53/131.96 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, clause( 93699, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.96 inverse( X ) ) ) ] )
% 131.53/131.96 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 131.53/131.96 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 88871, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 93700, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93703, [ =( inverse( X ), multiply( 'least_upper_bound'( X,
% 131.53/131.96 identity ), inverse( multiply( 'least_upper_bound'( identity, X ), X ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , clause( 2610, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 131.53/131.96 multiply( 'least_upper_bound'( identity, X ), X ) ) ), inverse( X ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93708, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 131.53/131.96 inverse( X ), identity ), inverse( multiply( inverse(
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ), inverse( X ) ) ) ) ) ] )
% 131.53/131.96 , clause( 88871, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , 0, clause( 93703, [ =( inverse( X ), multiply( 'least_upper_bound'( X,
% 131.53/131.96 identity ), inverse( multiply( 'least_upper_bound'( identity, X ), X ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.96 inverse( X ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93709, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 131.53/131.96 inverse( X ), identity ), multiply( inverse( inverse( X ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 131.53/131.96 , clause( 266, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 131.53/131.96 inverse( Y ), X ) ) ] )
% 131.53/131.96 , 0, clause( 93708, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.96 'least_upper_bound'( inverse( X ), identity ), inverse( multiply( inverse(
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ), inverse( X ) ) ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) ),
% 131.53/131.96 :=( Y, inverse( X ) )] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93710, [ =( inverse( inverse( X ) ), multiply( multiply(
% 131.53/131.96 'least_upper_bound'( inverse( X ), identity ), inverse( inverse( X ) ) )
% 131.53/131.96 , 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 131.53/131.96 ), Z ) ) ] )
% 131.53/131.96 , 0, clause( 93709, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.96 'least_upper_bound'( inverse( X ), identity ), multiply( inverse( inverse(
% 131.53/131.96 X ) ), 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 131.53/131.96 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( X ),
% 131.53/131.96 identity ) ), :=( Y, inverse( inverse( X ) ) ), :=( Z,
% 131.53/131.96 'greatest_lower_bound'( identity, X ) )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93711, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 131.53/131.96 inverse( inverse( X ) ), identity ), 'greatest_lower_bound'( identity, X
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , clause( 1591, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 131.53/131.96 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.96 , 0, clause( 93710, [ =( inverse( inverse( X ) ), multiply( multiply(
% 131.53/131.96 'least_upper_bound'( inverse( X ), identity ), inverse( inverse( X ) ) )
% 131.53/131.96 , 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 131.53/131.96 :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93713, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 131.53/131.96 X, identity ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93711, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.96 'least_upper_bound'( inverse( inverse( X ) ), identity ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93714, [ =( X, multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93713, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.96 'least_upper_bound'( X, identity ), 'greatest_lower_bound'( identity, X )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93716, [ =( multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 131.53/131.96 , clause( 93714, [ =( X, multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 88904, [ =( multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 131.53/131.96 , clause( 93716, [ =( multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93719, [ =( 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ),
% 131.53/131.96 multiply( X, 'least_upper_bound'( Y, inverse( multiply( Z, X ) ) ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , clause( 278, [ =( multiply( X, 'least_upper_bound'( Z, inverse( multiply(
% 131.53/131.96 Y, X ) ) ) ), 'least_upper_bound'( multiply( X, Z ), inverse( Y ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93722, [ =( 'least_upper_bound'( multiply( X, identity ), inverse(
% 131.53/131.96 Y ) ), multiply( X, inverse( 'greatest_lower_bound'( identity, multiply(
% 131.53/131.96 Y, X ) ) ) ) ) ] )
% 131.53/131.96 , clause( 88871, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , 0, clause( 93719, [ =( 'least_upper_bound'( multiply( X, Y ), inverse( Z
% 131.53/131.96 ) ), multiply( X, 'least_upper_bound'( Y, inverse( multiply( Z, X ) ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93723, [ =( 'least_upper_bound'( multiply( X, identity ), inverse(
% 131.53/131.96 Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 131.53/131.96 , clause( 3022, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity
% 131.53/131.96 , multiply( Y, X ) ) ) ), inverse( 'greatest_lower_bound'( inverse( X ),
% 131.53/131.96 Y ) ) ) ] )
% 131.53/131.96 , 0, clause( 93722, [ =( 'least_upper_bound'( multiply( X, identity ),
% 131.53/131.96 inverse( Y ) ), multiply( X, inverse( 'greatest_lower_bound'( identity,
% 131.53/131.96 multiply( Y, X ) ) ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93724, [ =( 'least_upper_bound'( X, inverse( Y ) ), inverse(
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 131.53/131.96 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.96 , 0, clause( 93723, [ =( 'least_upper_bound'( multiply( X, identity ),
% 131.53/131.96 inverse( Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93725, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 131.53/131.96 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 131.53/131.96 , clause( 93724, [ =( 'least_upper_bound'( X, inverse( Y ) ), inverse(
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 88992, [ =( inverse( 'greatest_lower_bound'( inverse( Y ), X ) ),
% 131.53/131.96 'least_upper_bound'( Y, inverse( X ) ) ) ] )
% 131.53/131.96 , clause( 93725, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 131.53/131.96 , 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93727, [ =( 'least_upper_bound'( inverse( multiply( Y, X ) ),
% 131.53/131.96 inverse( Y ) ), multiply( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 inverse( Y ) ) ) ] )
% 131.53/131.96 , clause( 1616, [ =( multiply( 'least_upper_bound'( identity, inverse( X )
% 131.53/131.96 ), inverse( Y ) ), 'least_upper_bound'( inverse( multiply( Y, X ) ),
% 131.53/131.96 inverse( Y ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93732, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( 'least_upper_bound'(
% 131.53/131.96 identity, inverse( 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ) ) ] )
% 131.53/131.96 , clause( 88904, [ =( multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93727, [ =( 'least_upper_bound'( inverse( multiply( Y, X ) ),
% 131.53/131.96 inverse( Y ) ), multiply( 'least_upper_bound'( identity, inverse( X ) ),
% 131.53/131.96 inverse( Y ) ) ) ] )
% 131.53/131.96 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ), :=( Y, 'least_upper_bound'( X,
% 131.53/131.96 identity ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93733, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, identity ) ), identity ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ) ) ] )
% 131.53/131.96 , clause( 80527, [ =( 'least_upper_bound'( X, inverse(
% 131.53/131.96 'greatest_lower_bound'( X, Y ) ) ), 'least_upper_bound'( inverse(
% 131.53/131.96 'greatest_lower_bound'( Y, X ) ), X ) ) ] )
% 131.53/131.96 , 0, clause( 93732, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( 'least_upper_bound'(
% 131.53/131.96 identity, inverse( 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 131.53/131.96 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93734, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, identity ) ), inverse( 'least_upper_bound'( X
% 131.53/131.96 , identity ) ) ) ) ] )
% 131.53/131.96 , clause( 713, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 131.53/131.96 , identity ) ), identity ), inverse( 'greatest_lower_bound'( Y, identity
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , 0, clause( 93733, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( 'least_upper_bound'(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, identity ) ), identity ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93735, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), inverse( multiply(
% 131.53/131.96 'least_upper_bound'( X, identity ), 'greatest_lower_bound'( X, identity )
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , clause( 265, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 131.53/131.96 multiply( X, Y ) ) ) ] )
% 131.53/131.96 , 0, clause( 93734, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( inverse(
% 131.53/131.96 'greatest_lower_bound'( X, identity ) ), inverse( 'least_upper_bound'( X
% 131.53/131.96 , identity ) ) ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) ),
% 131.53/131.96 :=( Y, 'greatest_lower_bound'( X, identity ) )] ), substitution( 1, [
% 131.53/131.96 :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93736, [ =( inverse( X ), inverse( multiply( 'least_upper_bound'( X
% 131.53/131.96 , identity ), 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 131.53/131.96 , clause( 8876, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , 0, clause( 93735, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), inverse( multiply(
% 131.53/131.96 'least_upper_bound'( X, identity ), 'greatest_lower_bound'( X, identity )
% 131.53/131.96 ) ) ) ] )
% 131.53/131.96 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 131.53/131.96 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93737, [ =( inverse( multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.96 'greatest_lower_bound'( X, identity ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , clause( 93736, [ =( inverse( X ), inverse( multiply( 'least_upper_bound'(
% 131.53/131.96 X, identity ), 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 89044, [ =( inverse( multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.96 'greatest_lower_bound'( X, identity ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , clause( 93737, [ =( inverse( multiply( 'least_upper_bound'( X, identity )
% 131.53/131.96 , 'greatest_lower_bound'( X, identity ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93739, [ =( inverse( 'least_upper_bound'( identity, Y ) ), multiply(
% 131.53/131.96 X, inverse( 'least_upper_bound'( X, multiply( Y, X ) ) ) ) ) ] )
% 131.53/131.96 , clause( 1546, [ =( multiply( Y, inverse( 'least_upper_bound'( Y, multiply(
% 131.53/131.96 X, Y ) ) ) ), inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93744, [ =( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ), inverse( 'least_upper_bound'( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ), X ) ) ) ) ] )
% 131.53/131.96 , clause( 88904, [ =( multiply( 'least_upper_bound'( X, identity ),
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93739, [ =( inverse( 'least_upper_bound'( identity, Y ) ),
% 131.53/131.96 multiply( X, inverse( 'least_upper_bound'( X, multiply( Y, X ) ) ) ) ) ]
% 131.53/131.96 )
% 131.53/131.96 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.96 'greatest_lower_bound'( identity, X ) ), :=( Y, 'least_upper_bound'( X,
% 131.53/131.96 identity ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93745, [ =( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ), inverse( X ) ) ) ] )
% 131.53/131.96 , clause( 66, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 131.53/131.96 , X ) ] )
% 131.53/131.96 , 0, clause( 93744, [ =( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ), inverse( 'least_upper_bound'( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ), X ) ) ) ) ] )
% 131.53/131.96 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93746, [ =( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 131.53/131.96 X ), identity ) ) ] )
% 131.53/131.96 , clause( 1292, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 131.53/131.96 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.96 , 0, clause( 93745, [ =( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), multiply( 'greatest_lower_bound'(
% 131.53/131.96 identity, X ), inverse( X ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93747, [ =( inverse( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.96 identity, X ), identity ) ), 'greatest_lower_bound'( inverse( X ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 131.53/131.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 131.53/131.96 , 0, clause( 93746, [ =( inverse( 'least_upper_bound'( identity,
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 131.53/131.96 X ), identity ) ) ] )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, identity )] )
% 131.53/131.96 , substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93748, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.96 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 131.53/131.96 'least_upper_bound'( X, Y ) ) ] )
% 131.53/131.96 , 0, clause( 93747, [ =( inverse( 'least_upper_bound'( 'least_upper_bound'(
% 131.53/131.96 identity, X ), identity ) ), 'greatest_lower_bound'( inverse( X ),
% 131.53/131.96 identity ) ) ] )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 131.53/131.96 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93749, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 131.53/131.96 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 93748, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 89069, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 131.53/131.96 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , clause( 93749, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 131.53/131.96 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93753, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.96 'least_upper_bound'( X, inverse( identity ) ) ), X ) ] )
% 131.53/131.96 , clause( 88992, [ =( inverse( 'greatest_lower_bound'( inverse( Y ), X ) )
% 131.53/131.96 , 'least_upper_bound'( Y, inverse( X ) ) ) ] )
% 131.53/131.96 , 0, clause( 2746, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.96 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 131.53/131.96 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 131.53/131.96 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93754, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.96 'least_upper_bound'( X, identity ) ), X ) ] )
% 131.53/131.96 , clause( 238, [ =( inverse( identity ), identity ) ] )
% 131.53/131.96 , 0, clause( 93753, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.96 'least_upper_bound'( X, inverse( identity ) ) ), X ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 89240, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.96 'least_upper_bound'( X, identity ) ), X ) ] )
% 131.53/131.96 , clause( 93754, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.96 'least_upper_bound'( X, identity ) ), X ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93757, [ =( inverse( Y ), multiply( inverse( 'greatest_lower_bound'(
% 131.53/131.96 multiply( X, Y ), identity ) ), 'greatest_lower_bound'( X, inverse( Y ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , clause( 3103, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X
% 131.53/131.96 , Y ), identity ) ), 'greatest_lower_bound'( X, inverse( Y ) ) ), inverse(
% 131.53/131.96 Y ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93760, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 131.53/131.96 inverse( 'greatest_lower_bound'( X, identity ) ), 'greatest_lower_bound'(
% 131.53/131.96 'greatest_lower_bound'( X, identity ), inverse( 'least_upper_bound'( X,
% 131.53/131.96 identity ) ) ) ) ) ] )
% 131.53/131.96 , clause( 89240, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 131.53/131.96 'least_upper_bound'( X, identity ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93757, [ =( inverse( Y ), multiply( inverse(
% 131.53/131.96 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 131.53/131.96 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 131.53/131.96 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 131.53/131.96 'greatest_lower_bound'( X, identity ) ), :=( Y, 'least_upper_bound'( X,
% 131.53/131.96 identity ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93761, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, inverse( multiply( 'least_upper_bound'(
% 131.53/131.96 X, identity ), 'greatest_lower_bound'( X, identity ) ) ) ) ) ] )
% 131.53/131.96 , clause( 2314, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 131.53/131.96 inverse( Y ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( Y
% 131.53/131.96 , X ) ) ) ) ] )
% 131.53/131.96 , 0, clause( 93760, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 131.53/131.96 multiply( inverse( 'greatest_lower_bound'( X, identity ) ),
% 131.53/131.96 'greatest_lower_bound'( 'greatest_lower_bound'( X, identity ), inverse(
% 131.53/131.96 'least_upper_bound'( X, identity ) ) ) ) ) ] )
% 131.53/131.96 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) ),
% 131.53/131.96 :=( Y, 'least_upper_bound'( X, identity ) )] ), substitution( 1, [ :=( X
% 131.53/131.96 , X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93762, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 131.53/131.96 , clause( 89044, [ =( inverse( multiply( 'least_upper_bound'( X, identity )
% 131.53/131.96 , 'greatest_lower_bound'( X, identity ) ) ), inverse( X ) ) ] )
% 131.53/131.96 , 0, clause( 93761, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, inverse( multiply( 'least_upper_bound'(
% 131.53/131.96 X, identity ), 'greatest_lower_bound'( X, identity ) ) ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93763, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 131.53/131.96 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.96 , clause( 93762, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 131.53/131.96 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 89256, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 131.53/131.96 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.96 , clause( 93763, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 131.53/131.96 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93765, [ =( 'greatest_lower_bound'( multiply( X, Y ), inverse( Z )
% 131.53/131.96 ), multiply( X, 'greatest_lower_bound'( Y, inverse( multiply( Z, X ) ) )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , clause( 276, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse(
% 131.53/131.96 multiply( Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse(
% 131.53/131.96 Y ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93768, [ =( 'greatest_lower_bound'( multiply( X, identity ),
% 131.53/131.96 inverse( Y ) ), multiply( X, inverse( 'least_upper_bound'( multiply( Y, X
% 131.53/131.96 ), identity ) ) ) ) ] )
% 131.53/131.96 , clause( 89256, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 131.53/131.96 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 131.53/131.96 , 0, clause( 93765, [ =( 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 131.53/131.96 Z ) ), multiply( X, 'greatest_lower_bound'( Y, inverse( multiply( Z, X )
% 131.53/131.96 ) ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93769, [ =( 'greatest_lower_bound'( multiply( X, identity ),
% 131.53/131.96 inverse( Y ) ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ) ] )
% 131.53/131.96 , clause( 2643, [ =( multiply( Y, inverse( 'least_upper_bound'( multiply( X
% 131.53/131.96 , Y ), identity ) ) ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 131.53/131.96 ) ] )
% 131.53/131.96 , 0, clause( 93768, [ =( 'greatest_lower_bound'( multiply( X, identity ),
% 131.53/131.96 inverse( Y ) ), multiply( X, inverse( 'least_upper_bound'( multiply( Y, X
% 131.53/131.96 ), identity ) ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93770, [ =( 'greatest_lower_bound'( X, inverse( Y ) ), inverse(
% 131.53/131.96 'least_upper_bound'( Y, inverse( X ) ) ) ) ] )
% 131.53/131.96 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.96 , 0, clause( 93769, [ =( 'greatest_lower_bound'( multiply( X, identity ),
% 131.53/131.96 inverse( Y ) ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ) ] )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93771, [ =( inverse( 'least_upper_bound'( Y, inverse( X ) ) ),
% 131.53/131.96 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 131.53/131.96 , clause( 93770, [ =( 'greatest_lower_bound'( X, inverse( Y ) ), inverse(
% 131.53/131.96 'least_upper_bound'( Y, inverse( X ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 89441, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 131.53/131.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ] )
% 131.53/131.96 , clause( 93771, [ =( inverse( 'least_upper_bound'( Y, inverse( X ) ) ),
% 131.53/131.96 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93773, [ =( 'greatest_lower_bound'( inverse( Y ), multiply( X, Z )
% 131.53/131.96 ), multiply( X, 'greatest_lower_bound'( inverse( multiply( Y, X ) ), Z )
% 131.53/131.96 ) ) ] )
% 131.53/131.96 , clause( 275, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 131.53/131.96 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 131.53/131.96 ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93776, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y,
% 131.53/131.96 identity ) ), multiply( Y, inverse( 'least_upper_bound'( identity,
% 131.53/131.96 multiply( X, Y ) ) ) ) ) ] )
% 131.53/131.96 , clause( 89069, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 131.53/131.96 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 131.53/131.96 , 0, clause( 93773, [ =( 'greatest_lower_bound'( inverse( Y ), multiply( X
% 131.53/131.96 , Z ) ), multiply( X, 'greatest_lower_bound'( inverse( multiply( Y, X ) )
% 131.53/131.96 , Z ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 131.53/131.96 :=( X, Y ), :=( Y, X ), :=( Z, identity )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93777, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y,
% 131.53/131.96 identity ) ), inverse( 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 131.53/131.96 , clause( 2618, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 131.53/131.96 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 131.53/131.96 ) ] )
% 131.53/131.96 , 0, clause( 93776, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y
% 131.53/131.96 , identity ) ), multiply( Y, inverse( 'least_upper_bound'( identity,
% 131.53/131.96 multiply( X, Y ) ) ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93778, [ =( 'greatest_lower_bound'( inverse( X ), Y ), inverse(
% 131.53/131.96 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 131.53/131.96 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 131.53/131.96 , 0, clause( 93777, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y
% 131.53/131.96 , identity ) ), inverse( 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 131.53/131.96 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93779, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 131.53/131.96 , clause( 93778, [ =( 'greatest_lower_bound'( inverse( X ), Y ), inverse(
% 131.53/131.96 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 89613, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 131.53/131.96 , clause( 93779, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93781, [ =( X, multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.96 identity ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ) ) ] )
% 131.53/131.96 , clause( 8557, [ =( multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.96 identity ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93783, [ =( X, multiply( 'least_upper_bound'( multiply( X, inverse(
% 131.53/131.96 Y ) ), identity ), 'greatest_lower_bound'( inverse( inverse( X ) ), Y ) )
% 131.53/131.96 ) ] )
% 131.53/131.96 , clause( 89613, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 131.53/131.96 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 131.53/131.96 , 0, clause( 93781, [ =( X, multiply( 'least_upper_bound'( multiply( X, Y )
% 131.53/131.96 , identity ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 131.53/131.96 substitution( 1, [ :=( X, X ), :=( Y, inverse( Y ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93785, [ =( X, multiply( 'least_upper_bound'( multiply( X, inverse(
% 131.53/131.96 Y ) ), identity ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93783, [ =( X, multiply( 'least_upper_bound'( multiply( X,
% 131.53/131.96 inverse( Y ) ), identity ), 'greatest_lower_bound'( inverse( inverse( X )
% 131.53/131.96 ), Y ) ) ) ] )
% 131.53/131.96 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93786, [ =( multiply( 'least_upper_bound'( multiply( X, inverse( Y
% 131.53/131.96 ) ), identity ), 'greatest_lower_bound'( X, Y ) ), X ) ] )
% 131.53/131.96 , clause( 93785, [ =( X, multiply( 'least_upper_bound'( multiply( X,
% 131.53/131.96 inverse( Y ) ), identity ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 89951, [ =( multiply( 'least_upper_bound'( multiply( Y, inverse( X
% 131.53/131.96 ) ), identity ), 'greatest_lower_bound'( Y, X ) ), Y ) ] )
% 131.53/131.96 , clause( 93786, [ =( multiply( 'least_upper_bound'( multiply( X, inverse(
% 131.53/131.96 Y ) ), identity ), 'greatest_lower_bound'( X, Y ) ), X ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93788, [ =( inverse( X ), multiply( 'least_upper_bound'( multiply(
% 131.53/131.96 inverse( X ), Y ), identity ), inverse( 'least_upper_bound'( Y, X ) ) ) )
% 131.53/131.96 ] )
% 131.53/131.96 , clause( 1947, [ =( multiply( 'least_upper_bound'( multiply( inverse( X )
% 131.53/131.96 , Y ), identity ), inverse( 'least_upper_bound'( Y, X ) ) ), inverse( X )
% 131.53/131.96 ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93792, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 131.53/131.96 multiply( inverse( inverse( X ) ), Y ), identity ),
% 131.53/131.96 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 131.53/131.96 , clause( 89441, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 131.53/131.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ] )
% 131.53/131.96 , 0, clause( 93788, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 131.53/131.96 multiply( inverse( X ), Y ), identity ), inverse( 'least_upper_bound'( Y
% 131.53/131.96 , X ) ) ) ) ] )
% 131.53/131.96 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 131.53/131.96 :=( X, inverse( X ) ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93795, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 131.53/131.96 multiply( X, Y ), identity ), 'greatest_lower_bound'( X, inverse( Y ) ) )
% 131.53/131.96 ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93792, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.96 'least_upper_bound'( multiply( inverse( inverse( X ) ), Y ), identity ),
% 131.53/131.96 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 131.53/131.96 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93796, [ =( X, multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.96 identity ), 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93795, [ =( inverse( inverse( X ) ), multiply(
% 131.53/131.96 'least_upper_bound'( multiply( X, Y ), identity ), 'greatest_lower_bound'(
% 131.53/131.96 X, inverse( Y ) ) ) ) ] )
% 131.53/131.96 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 131.53/131.96 :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93798, [ =( multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.96 identity ), 'greatest_lower_bound'( X, inverse( Y ) ) ), X ) ] )
% 131.53/131.96 , clause( 93796, [ =( X, multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.96 identity ), 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 90119, [ =( multiply( 'least_upper_bound'( multiply( Y, X ),
% 131.53/131.96 identity ), 'greatest_lower_bound'( Y, inverse( X ) ) ), Y ) ] )
% 131.53/131.96 , clause( 93798, [ =( multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.96 identity ), 'greatest_lower_bound'( X, inverse( Y ) ) ), X ) ] )
% 131.53/131.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 131.53/131.96 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 eqswap(
% 131.53/131.96 clause( 93801, [ =( X, multiply( 'least_upper_bound'( multiply( X, Y ),
% 131.53/131.96 identity ), 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 131.53/131.96 , clause( 90119, [ =( multiply( 'least_upper_bound'( multiply( Y, X ),
% 131.53/131.96 identity ), 'greatest_lower_bound'( Y, inverse( X ) ) ), Y ) ] )
% 131.53/131.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93805, [ =( b, multiply( 'least_upper_bound'( multiply( a, inverse(
% 131.53/131.96 c ) ), identity ), 'greatest_lower_bound'( b, inverse( inverse( c ) ) ) )
% 131.53/131.96 ) ] )
% 131.53/131.96 , clause( 23026, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 131.53/131.96 identity ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity )
% 131.53/131.96 ) ] )
% 131.53/131.96 , 0, clause( 93801, [ =( X, multiply( 'least_upper_bound'( multiply( X, Y )
% 131.53/131.96 , identity ), 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 131.53/131.96 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 131.53/131.96 inverse( c ) )] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93806, [ =( b, multiply( 'least_upper_bound'( multiply( a, inverse(
% 131.53/131.96 c ) ), identity ), 'greatest_lower_bound'( b, c ) ) ) ] )
% 131.53/131.96 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 131.53/131.96 , 0, clause( 93805, [ =( b, multiply( 'least_upper_bound'( multiply( a,
% 131.53/131.96 inverse( c ) ), identity ), 'greatest_lower_bound'( b, inverse( inverse(
% 131.53/131.96 c ) ) ) ) ) ] )
% 131.53/131.96 , 0, 11, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93807, [ =( b, multiply( 'least_upper_bound'( multiply( a, inverse(
% 131.53/131.96 c ) ), identity ), 'greatest_lower_bound'( a, c ) ) ) ] )
% 131.53/131.96 , clause( 15, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'(
% 131.53/131.96 a, c ) ) ] )
% 131.53/131.96 , 0, clause( 93806, [ =( b, multiply( 'least_upper_bound'( multiply( a,
% 131.53/131.96 inverse( c ) ), identity ), 'greatest_lower_bound'( b, c ) ) ) ] )
% 131.53/131.96 , 0, 9, substitution( 0, [] ), substitution( 1, [] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 paramod(
% 131.53/131.96 clause( 93808, [ =( b, a ) ] )
% 131.53/131.96 , clause( 89951, [ =( multiply( 'least_upper_bound'( multiply( Y, inverse(
% 131.53/131.96 X ) ), identity ), 'greatest_lower_bound'( Y, X ) ), Y ) ] )
% 131.53/131.96 , 0, clause( 93807, [ =( b, multiply( 'least_upper_bound'( multiply( a,
% 131.53/131.96 inverse( c ) ), identity ), 'greatest_lower_bound'( a, c ) ) ) ] )
% 131.53/131.96 , 0, 2, substitution( 0, [ :=( X, c ), :=( Y, a )] ), substitution( 1, [] )
% 131.53/131.96 ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 92039, [ =( b, a ) ] )
% 131.53/131.96 , clause( 93808, [ =( b, a ) ] )
% 131.53/131.96 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 resolution(
% 131.53/131.96 clause( 93812, [] )
% 131.53/131.96 , clause( 17, [ ~( =( b, a ) ) ] )
% 131.53/131.96 , 0, clause( 92039, [ =( b, a ) ] )
% 131.53/131.96 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 subsumption(
% 131.53/131.96 clause( 92053, [] )
% 131.53/131.96 , clause( 93812, [] )
% 131.53/131.96 , substitution( 0, [] ), permutation( 0, [] ) ).
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 end.
% 131.53/131.96
% 131.53/131.96 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 131.53/131.96
% 131.53/131.96 Memory use:
% 131.53/131.96
% 131.53/131.96 space for terms: 1325875
% 131.53/131.96 space for clauses: 9532746
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 clauses generated: 36367470
% 131.53/131.96 clauses kept: 92054
% 131.53/131.96 clauses selected: 11270
% 131.53/131.96 clauses deleted: 11694
% 131.53/131.96 clauses inuse deleted: 3082
% 131.53/131.96
% 131.53/131.96 subsentry: 1992894
% 131.53/131.96 literals s-matched: 1987945
% 131.53/131.96 literals matched: 1987431
% 131.53/131.96 full subsumption: 0
% 131.53/131.96
% 131.53/131.96 checksum: 207910977
% 131.53/131.96
% 131.53/131.96
% 131.53/131.96 Bliksem ended
%------------------------------------------------------------------------------