TSTP Solution File: GRP187-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP187-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:36:00 EDT 2022
% Result : Unsatisfiable 34.76s 35.17s
% Output : Refutation 34.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP187-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Tue Jun 14 06:55:39 EDT 2022
% 0.14/0.36 % CPUTime :
% 27.58/28.00 *** allocated 10000 integers for termspace/termends
% 27.58/28.00 *** allocated 10000 integers for clauses
% 27.58/28.00 *** allocated 10000 integers for justifications
% 27.58/28.00 Bliksem 1.12
% 27.58/28.00
% 27.58/28.00
% 27.58/28.00 Automatic Strategy Selection
% 27.58/28.00
% 27.58/28.00 Clauses:
% 27.58/28.00 [
% 27.58/28.00 [ =( multiply( identity, X ), X ) ],
% 27.58/28.00 [ =( multiply( inverse( X ), X ), identity ) ],
% 27.58/28.00 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 27.58/28.00 ],
% 27.58/28.00 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 27.58/28.00 ,
% 27.58/28.00 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 27.58/28.00 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 27.58/28.00 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 27.58/28.00 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 27.58/28.00 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 27.58/28.00 [ =( 'least_upper_bound'( X, X ), X ) ],
% 27.58/28.00 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 27.58/28.00 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 27.58/28.00 ,
% 27.58/28.00 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 27.58/28.00 ,
% 27.58/28.00 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 27.58/28.00 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 27.58/28.00 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 27.58/28.00 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 27.58/28.00 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 27.58/28.00 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 27.58/28.00 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 27.58/28.00 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 27.58/28.00 [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse( a ) ),
% 27.58/28.00 'least_upper_bound'( b, inverse( b ) ) ), identity ) ],
% 27.58/28.00 [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 27.58/28.00 ] .
% 27.58/28.00
% 27.58/28.00
% 27.58/28.00 percentage equality = 1.000000, percentage horn = 1.000000
% 27.58/28.00 This is a pure equality problem
% 27.58/28.00
% 27.58/28.00
% 27.58/28.00
% 27.58/28.00 Options Used:
% 27.58/28.00
% 27.58/28.00 useres = 1
% 27.58/28.00 useparamod = 1
% 27.58/28.00 useeqrefl = 1
% 27.58/28.00 useeqfact = 1
% 27.58/28.00 usefactor = 1
% 27.58/28.00 usesimpsplitting = 0
% 27.58/28.00 usesimpdemod = 5
% 27.58/28.00 usesimpres = 3
% 27.58/28.00
% 27.58/28.00 resimpinuse = 1000
% 27.58/28.00 resimpclauses = 20000
% 27.58/28.00 substype = eqrewr
% 27.58/28.00 backwardsubs = 1
% 27.58/28.00 selectoldest = 5
% 27.58/28.00
% 27.58/28.00 litorderings [0] = split
% 27.58/28.00 litorderings [1] = extend the termordering, first sorting on arguments
% 27.58/28.00
% 27.58/28.00 termordering = kbo
% 27.58/28.00
% 27.58/28.00 litapriori = 0
% 27.58/28.00 termapriori = 1
% 27.58/28.00 litaposteriori = 0
% 27.58/28.00 termaposteriori = 0
% 27.58/28.00 demodaposteriori = 0
% 27.58/28.00 ordereqreflfact = 0
% 27.58/28.00
% 27.58/28.00 litselect = negord
% 27.58/28.00
% 27.58/28.00 maxweight = 15
% 27.58/28.00 maxdepth = 30000
% 27.58/28.00 maxlength = 115
% 27.58/28.00 maxnrvars = 195
% 27.58/28.00 excuselevel = 1
% 27.58/28.00 increasemaxweight = 1
% 27.58/28.00
% 27.58/28.00 maxselected = 10000000
% 27.58/28.00 maxnrclauses = 10000000
% 27.58/28.00
% 27.58/28.00 showgenerated = 0
% 27.58/28.00 showkept = 0
% 27.58/28.00 showselected = 0
% 27.58/28.00 showdeleted = 0
% 27.58/28.00 showresimp = 1
% 27.58/28.00 showstatus = 2000
% 27.58/28.00
% 27.58/28.00 prologoutput = 1
% 27.58/28.00 nrgoals = 5000000
% 27.58/28.00 totalproof = 1
% 27.58/28.00
% 27.58/28.00 Symbols occurring in the translation:
% 27.58/28.00
% 27.58/28.00 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 27.58/28.00 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 27.58/28.00 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 27.58/28.00 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.58/28.00 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.58/28.00 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 27.58/28.00 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 27.58/28.00 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 27.58/28.00 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 27.58/28.00 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 27.58/28.00 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 27.58/28.00 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 27.58/28.00
% 27.58/28.00
% 27.58/28.00 Starting Search:
% 27.58/28.00
% 27.58/28.00 Resimplifying inuse:
% 27.58/28.00 Done
% 27.58/28.00
% 27.58/28.00
% 27.58/28.00 Intermediate Status:
% 27.58/28.00 Generated: 26719
% 27.58/28.00 Kept: 2008
% 27.58/28.00 Inuse: 248
% 27.58/28.00 Deleted: 13
% 27.58/28.00 Deletedinuse: 8
% 27.58/28.00
% 27.58/28.00 Resimplifying inuse:
% 27.58/28.00 Done
% 27.58/28.00
% 27.58/28.00 Resimplifying inuse:
% 27.58/28.00 Done
% 27.58/28.00
% 27.58/28.00
% 27.58/28.00 Intermediate Status:
% 27.58/28.00 Generated: 65901
% 27.58/28.00 Kept: 4008
% 27.58/28.00 Inuse: 412
% 27.58/28.00 Deleted: 19
% 27.58/28.00 Deletedinuse: 8
% 27.58/28.00
% 27.58/28.00 Resimplifying inuse:
% 27.58/28.00 Done
% 27.58/28.00
% 27.58/28.00 Resimplifying inuse:
% 27.58/28.00 Done
% 27.58/28.00
% 27.58/28.00
% 27.58/28.00 Intermediate Status:
% 27.58/28.00 Generated: 121580
% 27.58/28.00 Kept: 6016
% 27.58/28.00 Inuse: 581
% 27.58/28.00 Deleted: 34
% 27.58/28.00 Deletedinuse: 8
% 27.58/28.00
% 27.58/28.00 Resimplifying inuse:
% 27.58/28.00 Done
% 27.58/28.00
% 27.58/28.00 Resimplifying inuse:
% 27.58/28.00 Done
% 27.58/28.00
% 27.58/28.00
% 27.58/28.00 Intermediate Status:
% 27.58/28.00 Generated: 193336
% 27.58/28.00 Kept: 8028
% 27.58/28.00 Inuse: 760
% 27.58/28.00 Deleted: 66
% 27.58/28.00 Deletedinuse: 8
% 27.58/28.00
% 27.58/28.00 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 244849
% 34.76/35.17 Kept: 10041
% 34.76/35.17 Inuse: 893
% 34.76/35.17 Deleted: 72
% 34.76/35.17 Deletedinuse: 8
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 328667
% 34.76/35.17 Kept: 12051
% 34.76/35.17 Inuse: 1077
% 34.76/35.17 Deleted: 78
% 34.76/35.17 Deletedinuse: 8
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 435108
% 34.76/35.17 Kept: 14057
% 34.76/35.17 Inuse: 1261
% 34.76/35.17 Deleted: 94
% 34.76/35.17 Deletedinuse: 8
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 553473
% 34.76/35.17 Kept: 16058
% 34.76/35.17 Inuse: 1459
% 34.76/35.17 Deleted: 96
% 34.76/35.17 Deletedinuse: 8
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 635284
% 34.76/35.17 Kept: 18066
% 34.76/35.17 Inuse: 1628
% 34.76/35.17 Deleted: 115
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying clauses:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 726436
% 34.76/35.17 Kept: 20105
% 34.76/35.17 Inuse: 1701
% 34.76/35.17 Deleted: 1221
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 787736
% 34.76/35.17 Kept: 22151
% 34.76/35.17 Inuse: 1745
% 34.76/35.17 Deleted: 1221
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 930297
% 34.76/35.17 Kept: 24192
% 34.76/35.17 Inuse: 1836
% 34.76/35.17 Deleted: 1221
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 1070084
% 34.76/35.17 Kept: 26210
% 34.76/35.17 Inuse: 1938
% 34.76/35.17 Deleted: 1222
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 1315986
% 34.76/35.17 Kept: 28230
% 34.76/35.17 Inuse: 2103
% 34.76/35.17 Deleted: 1222
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 1604342
% 34.76/35.17 Kept: 30231
% 34.76/35.17 Inuse: 2308
% 34.76/35.17 Deleted: 1232
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 1823043
% 34.76/35.17 Kept: 32233
% 34.76/35.17 Inuse: 2458
% 34.76/35.17 Deleted: 1236
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 2091346
% 34.76/35.17 Kept: 34235
% 34.76/35.17 Inuse: 2672
% 34.76/35.17 Deleted: 1236
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 2497405
% 34.76/35.17 Kept: 36308
% 34.76/35.17 Inuse: 2971
% 34.76/35.17 Deleted: 1250
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 2886454
% 34.76/35.17 Kept: 38320
% 34.76/35.17 Inuse: 3112
% 34.76/35.17 Deleted: 1250
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying clauses:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 3644441
% 34.76/35.17 Kept: 40326
% 34.76/35.17 Inuse: 3355
% 34.76/35.17 Deleted: 1957
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 4843351
% 34.76/35.17 Kept: 42332
% 34.76/35.17 Inuse: 3726
% 34.76/35.17 Deleted: 1957
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 5300291
% 34.76/35.17 Kept: 44359
% 34.76/35.17 Inuse: 3933
% 34.76/35.17 Deleted: 1958
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 5689965
% 34.76/35.17 Kept: 46376
% 34.76/35.17 Inuse: 4149
% 34.76/35.17 Deleted: 1958
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 6206224
% 34.76/35.17 Kept: 48404
% 34.76/35.17 Inuse: 4368
% 34.76/35.17 Deleted: 1958
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 6668482
% 34.76/35.17 Kept: 50407
% 34.76/35.17 Inuse: 4612
% 34.76/35.17 Deleted: 1958
% 34.76/35.17 Deletedinuse: 10
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 6795103
% 34.76/35.17 Kept: 52443
% 34.76/35.17 Inuse: 4684
% 34.76/35.17 Deleted: 2110
% 34.76/35.17 Deletedinuse: 156
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 6886453
% 34.76/35.17 Kept: 54483
% 34.76/35.17 Inuse: 4720
% 34.76/35.17 Deleted: 2213
% 34.76/35.17 Deletedinuse: 256
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 7158329
% 34.76/35.17 Kept: 56489
% 34.76/35.17 Inuse: 4817
% 34.76/35.17 Deleted: 2213
% 34.76/35.17 Deletedinuse: 256
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 7457387
% 34.76/35.17 Kept: 58494
% 34.76/35.17 Inuse: 4936
% 34.76/35.17 Deleted: 2236
% 34.76/35.17 Deletedinuse: 256
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying clauses:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 7666576
% 34.76/35.17 Kept: 60527
% 34.76/35.17 Inuse: 5051
% 34.76/35.17 Deleted: 6340
% 34.76/35.17 Deletedinuse: 256
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 7927759
% 34.76/35.17 Kept: 62534
% 34.76/35.17 Inuse: 5226
% 34.76/35.17 Deleted: 6402
% 34.76/35.17 Deletedinuse: 302
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Intermediate Status:
% 34.76/35.17 Generated: 8258431
% 34.76/35.17 Kept: 64545
% 34.76/35.17 Inuse: 5383
% 34.76/35.17 Deleted: 6440
% 34.76/35.17 Deletedinuse: 338
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17 Resimplifying inuse:
% 34.76/35.17 Done
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 Bliksems!, er is een bewijs:
% 34.76/35.17 % SZS status Unsatisfiable
% 34.76/35.17 % SZS output start Refutation
% 34.76/35.17
% 34.76/35.17 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 34.76/35.17 , Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 34.76/35.17 X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 34.76/35.17 ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 34.76/35.17 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 7, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 34.76/35.17 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 34.76/35.17 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 34.76/35.17 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 34.76/35.17 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 15, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse( a
% 34.76/35.17 ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 16, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 34.76/35.17 , identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 34.76/35.17 identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 34.76/35.17 ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 22, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ), X ), Y ),
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 24, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.76/35.17 'least_upper_bound'( X, Y ) ), X ), 'greatest_lower_bound'( Z, X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, Y ), X
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 29, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 34.76/35.17 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.76/35.17 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 34.76/35.17 'least_upper_bound'( Y, X ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 34.76/35.17 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 35, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 34.76/35.17 'least_upper_bound'( X, Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 37, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 38, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 34.76/35.17 'greatest_lower_bound'( Y, Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 43, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 34.76/35.17 'least_upper_bound'( Y, Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 47, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 54, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 60, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 34.76/35.17 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 61, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 34.76/35.17 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 62, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 34.76/35.17 'least_upper_bound'( Z, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 63, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 34.76/35.17 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 68, [ =( multiply( inverse( identity ), X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 69, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 34.76/35.17 multiply( Y, X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 71, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 34.76/35.17 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 72, [ =( 'greatest_lower_bound'( multiply( multiply( X, Y ), Z ),
% 34.76/35.17 multiply( X, T ) ), multiply( X, 'greatest_lower_bound'( multiply( Y, Z )
% 34.76/35.17 , T ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 74, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X ),
% 34.76/35.17 Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 75, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 34.76/35.17 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 34.76/35.17 )
% 34.76/35.17 .
% 34.76/35.17 clause( 77, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 34.76/35.17 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 81, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Z, X ), Y ), X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 88, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 96, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 34.76/35.17 )
% 34.76/35.17 .
% 34.76/35.17 clause( 100, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 107, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 34.76/35.17 'least_upper_bound'( Z, X ), Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 110, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 34.76/35.17 'least_upper_bound'( identity, Y ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 111, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 34.76/35.17 'least_upper_bound'( Y, identity ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 114, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 115, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 126, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.76/35.17 'least_upper_bound'( X, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 146, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 34.76/35.17 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 147, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X )
% 34.76/35.17 , 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 148, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X )
% 34.76/35.17 , 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 149, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 34.76/35.17 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 150, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 34.76/35.17 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 155, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 161, [ =( inverse( identity ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 164, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 169, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'( b
% 34.76/35.17 , inverse( b ) ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 172, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, b ),
% 34.76/35.17 inverse( b ) ), 'least_upper_bound'( b, inverse( b ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 177, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( a )
% 34.76/35.17 , a ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 186, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 34.76/35.17 'least_upper_bound'( identity, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 187, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 34.76/35.17 'least_upper_bound'( Y, identity ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 212, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.76/35.17 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ), X ),
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 225, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.76/35.17 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 227, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 229, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.76/35.17 a ) ), b ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 235, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 34.76/35.17 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 34.76/35.17 )
% 34.76/35.17 .
% 34.76/35.17 clause( 239, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) )
% 34.76/35.17 , 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 242, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 243, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 34.76/35.17 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 244, [ =( multiply( 'greatest_lower_bound'( Z, multiply( X, Y ) ),
% 34.76/35.17 inverse( Y ) ), 'greatest_lower_bound'( multiply( Z, inverse( Y ) ), X )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 248, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 249, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 34.76/35.17 X, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 250, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 34.76/35.17 Y ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 252, [ =( multiply( 'greatest_lower_bound'( Z, inverse( multiply( X
% 34.76/35.17 , Y ) ) ), X ), 'greatest_lower_bound'( multiply( Z, X ), inverse( Y ) )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 257, [ =( multiply( inverse( multiply( multiply( X, Y ), Z ) ), X )
% 34.76/35.17 , inverse( multiply( Y, Z ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 258, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 34.76/35.17 inverse( X ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 260, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 34.76/35.17 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 34.76/35.17 ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 270, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 34.76/35.17 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 276, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( a,
% 34.76/35.17 inverse( a ) ) ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 293, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( b, inverse( b ) ), X ), 'least_upper_bound'( a,
% 34.76/35.17 inverse( a ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 305, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( Y, X ), Z ), X ), 'greatest_lower_bound'( X, Z ) ) ]
% 34.76/35.17 )
% 34.76/35.17 .
% 34.76/35.17 clause( 309, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 313, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.76/35.17 , b ), a ), 'greatest_lower_bound'( b, a ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 319, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'( b
% 34.76/35.17 , a ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 329, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'( a
% 34.76/35.17 , b ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 334, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.76/35.17 , a ), b ), 'greatest_lower_bound'( a, b ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 336, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( identity, b ), X ), a ), 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( b, a ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 355, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( identity, a ), X ), b ), 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( a, b ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 412, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.76/35.17 , b ), inverse( a ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 434, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, b ), inverse( b ) ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 459, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 478, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.76/35.17 identity ), 'least_upper_bound'( 'least_upper_bound'( X, b ), inverse( b
% 34.76/35.17 ) ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 533, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 34.76/35.17 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 617, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 34.76/35.17 'least_upper_bound'( X, T ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 626, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 674, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 34.76/35.17 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 690, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 702, [ =( multiply( multiply( Z, 'greatest_lower_bound'( X, Y ) ),
% 34.76/35.17 inverse( 'greatest_lower_bound'( Y, X ) ) ), Z ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 758, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 34.76/35.17 'least_upper_bound'( X, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 773, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 34.76/35.17 'least_upper_bound'( X, Y ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 804, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y
% 34.76/35.17 ) ), T ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 836, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.76/35.17 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ),
% 34.76/35.17 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 838, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) )
% 34.76/35.17 , 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 879, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X ) )
% 34.76/35.17 , 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 888, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 34.76/35.17 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ),
% 34.76/35.17 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 890, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) )
% 34.76/35.17 , 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 933, [ =( multiply( inverse( 'least_upper_bound'(
% 34.76/35.17 'greatest_lower_bound'( Z, Y ), X ) ), 'least_upper_bound'(
% 34.76/35.17 'greatest_lower_bound'( Y, Z ), X ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 946, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) )
% 34.76/35.17 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 964, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.76/35.17 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1014, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 34.76/35.17 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1038, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1039, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 34.76/35.17 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1223, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), Z )
% 34.76/35.17 ), multiply( 'least_upper_bound'( multiply( X, Y ), X ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1224, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply( X
% 34.76/35.17 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 34.76/35.17 )
% 34.76/35.17 .
% 34.76/35.17 clause( 1256, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 34.76/35.17 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1309, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 34.76/35.17 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1383, [ =( multiply( inverse( X ), 'least_upper_bound'( X, identity
% 34.76/35.17 ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1677, [ =( multiply( inverse( X ), 'greatest_lower_bound'( multiply(
% 34.76/35.17 X, Y ), Z ) ), 'greatest_lower_bound'( Y, multiply( inverse( X ), Z ) ) )
% 34.76/35.17 ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1757, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 34.76/35.17 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1764, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 34.76/35.17 inverse( Y ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( Y
% 34.76/35.17 , X ) ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 1770, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) )
% 34.76/35.17 , 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2453, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 34.76/35.17 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2501, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2607, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b, inverse(
% 34.76/35.17 b ) ), a ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2616, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 34.76/35.17 'least_upper_bound'( b, inverse( b ) ) ), X ), 'least_upper_bound'( X,
% 34.76/35.17 'greatest_lower_bound'( identity, a ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2617, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'( b,
% 34.76/35.17 inverse( b ) ) ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2625, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.76/35.17 , a ), inverse( b ) ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2780, [ =( multiply( X, 'greatest_lower_bound'( X, identity ) ),
% 34.76/35.17 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2781, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 34.76/35.17 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2788, [ =( multiply( X, 'greatest_lower_bound'( identity, X ) ),
% 34.76/35.17 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 2849, [ =( 'greatest_lower_bound'( multiply( 'greatest_lower_bound'(
% 34.76/35.17 identity, Y ), X ), X ), multiply( 'greatest_lower_bound'( identity, Y )
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3242, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 34.76/35.17 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3414, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 34.76/35.17 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3616, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) )
% 34.76/35.17 , 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3619, [ =( 'greatest_lower_bound'( multiply( 'greatest_lower_bound'(
% 34.76/35.17 identity, X ), X ), identity ), multiply( 'greatest_lower_bound'( X,
% 34.76/35.17 identity ), 'greatest_lower_bound'( X, identity ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3635, [ =( multiply( multiply( 'greatest_lower_bound'( identity, X
% 34.76/35.17 ), X ), inverse( 'greatest_lower_bound'( identity, X ) ) ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3650, [ =( multiply( inverse( 'least_upper_bound'( X, identity ) )
% 34.76/35.17 , X ), inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3678, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 34.76/35.17 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3685, [ =( multiply( 'greatest_lower_bound'( inverse( X ), identity
% 34.76/35.17 ), inverse( 'greatest_lower_bound'( identity, X ) ) ), inverse( X ) ) ]
% 34.76/35.17 )
% 34.76/35.17 .
% 34.76/35.17 clause( 3778, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'( a
% 34.76/35.17 , inverse( b ) ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3787, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( a
% 34.76/35.17 , inverse( b ) ), X ), X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3793, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.76/35.17 inverse( b ), a ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 3827, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 34.76/35.17 inverse( b ), a ) ), X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4037, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 34.76/35.17 multiply( b, a ) ), b ), b ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4053, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( multiply(
% 34.76/35.17 b, a ), identity ) ), b ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4099, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( multiply(
% 34.76/35.17 b, a ), identity ), b ), 'greatest_lower_bound'( multiply( b, a ),
% 34.76/35.17 identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4304, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'( b
% 34.76/35.17 , inverse( a ) ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4321, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.76/35.17 inverse( a ), b ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4340, [ =( 'least_upper_bound'( X, multiply( 'greatest_lower_bound'(
% 34.76/35.17 inverse( a ), b ), X ) ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4341, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 34.76/35.17 inverse( a ), b ) ), X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4579, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 34.76/35.17 multiply( a, b ) ), a ), a ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4592, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'( identity
% 34.76/35.17 , multiply( a, b ) ) ), a ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4596, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'( multiply(
% 34.76/35.17 a, b ), identity ) ), a ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4600, [ =( 'least_upper_bound'( 'least_upper_bound'( X, a ),
% 34.76/35.17 'greatest_lower_bound'( identity, multiply( a, b ) ) ),
% 34.76/35.17 'least_upper_bound'( a, X ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4671, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( multiply(
% 34.76/35.17 a, b ), identity ), a ), 'greatest_lower_bound'( multiply( a, b ),
% 34.76/35.17 identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4864, [ =( 'least_upper_bound'( 'least_upper_bound'( b, identity )
% 34.76/35.17 , inverse( b ) ), 'least_upper_bound'( b, inverse( b ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 4885, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b, inverse(
% 34.76/35.17 b ) ), 'least_upper_bound'( b, identity ) ), 'least_upper_bound'( b,
% 34.76/35.17 identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 5244, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'( identity
% 34.76/35.17 , multiply( b, a ) ) ), a ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 5267, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply( b
% 34.76/35.17 , a ), identity ), a ), a ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 5303, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply( a
% 34.76/35.17 , b ), identity ), b ), b ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 6307, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( a
% 34.76/35.17 ), a ), 'least_upper_bound'( inverse( b ), b ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 6483, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( b
% 34.76/35.17 ), b ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a ) )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 7175, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.76/35.17 , b ), multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ),
% 34.76/35.17 identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 7177, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.76/35.17 , a ), multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ),
% 34.76/35.17 identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 9137, [ =( inverse( multiply( multiply( Y, inverse(
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ), X ) ), 'greatest_lower_bound'(
% 34.76/35.17 inverse( Y ), inverse( X ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 15998, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 34.76/35.17 identity, inverse( X ) ) ), inverse( 'least_upper_bound'( X, identity ) )
% 34.76/35.17 ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 16005, [ =( 'greatest_lower_bound'( X, inverse(
% 34.76/35.17 'greatest_lower_bound'( identity, X ) ) ), 'greatest_lower_bound'( X,
% 34.76/35.17 identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 16014, [ =( 'greatest_lower_bound'( X, inverse(
% 34.76/35.17 'greatest_lower_bound'( X, identity ) ) ), 'greatest_lower_bound'( X,
% 34.76/35.17 identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 16034, [ =( 'greatest_lower_bound'( Y, inverse(
% 34.76/35.17 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), identity ) ) ),
% 34.76/35.17 'greatest_lower_bound'( Y, identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 16387, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 identity, inverse( a ) ), inverse( b ) ), 'greatest_lower_bound'( inverse(
% 34.76/35.17 a ), inverse( b ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 16416, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.76/35.17 identity ), 'least_upper_bound'( a, inverse( a ) ) ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 16449, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.76/35.17 identity ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 16633, [ =( 'greatest_lower_bound'( multiply( a,
% 34.76/35.17 'least_upper_bound'( b, identity ) ), identity ), 'greatest_lower_bound'(
% 34.76/35.17 a, identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 16634, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 34.76/35.17 b, identity ), a ), identity ), 'greatest_lower_bound'( a, identity ) ) ]
% 34.76/35.17 )
% 34.76/35.17 .
% 34.76/35.17 clause( 16645, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 34.76/35.17 multiply( a, b ) ), identity ), 'greatest_lower_bound'( a, identity ) ) ]
% 34.76/35.17 )
% 34.76/35.17 .
% 34.76/35.17 clause( 16685, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 34.76/35.17 b, a ), a ), identity ), 'greatest_lower_bound'( a, identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 16699, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.76/35.17 multiply( b, a ), a ) ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 26042, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.76/35.17 'greatest_lower_bound'( a, identity ) ) ), 'greatest_lower_bound'(
% 34.76/35.17 multiply( a, b ), identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 26054, [ =( 'greatest_lower_bound'( Y, inverse(
% 34.76/35.17 'greatest_lower_bound'( identity, 'least_upper_bound'( Y, X ) ) ) ),
% 34.76/35.17 'greatest_lower_bound'( Y, identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 26056, [ =( 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.76/35.17 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'(
% 34.76/35.17 multiply( b, a ), identity ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 46894, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a )
% 34.76/35.17 , multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ), identity
% 34.76/35.17 ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 46926, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b )
% 34.76/35.17 , multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ), identity
% 34.76/35.17 ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 46947, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b )
% 34.76/35.17 , multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ), identity
% 34.76/35.17 ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 47062, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a )
% 34.76/35.17 , multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ), identity
% 34.76/35.17 ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 47072, [ =( 'greatest_lower_bound'( multiply(
% 34.76/35.17 'greatest_lower_bound'( b, a ), inverse( a ) ), b ),
% 34.76/35.17 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 49519, [ =( multiply( inverse( 'least_upper_bound'( X, identity ) )
% 34.76/35.17 , 'least_upper_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 50422, [ =( 'greatest_lower_bound'( identity, inverse( multiply( a
% 34.76/35.17 , b ) ) ), 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 50597, [ =( 'greatest_lower_bound'( multiply( b, inverse( a ) ),
% 34.76/35.17 identity ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 50598, [ =( 'greatest_lower_bound'( identity, multiply( inverse( b
% 34.76/35.17 ), a ) ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 50636, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse( a
% 34.76/35.17 ), inverse( b ) ), identity ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 50643, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse( b
% 34.76/35.17 ), inverse( a ) ), identity ), identity ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 50670, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 34.76/35.17 inverse( b ), inverse( a ) ), X ), X ), X ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 50756, [ =( 'greatest_lower_bound'( multiply( b, a ), identity ),
% 34.76/35.17 'greatest_lower_bound'( b, a ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 50793, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse( a )
% 34.76/35.17 ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 50904, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse(
% 34.76/35.17 'greatest_lower_bound'( inverse( multiply( b, a ) ), identity ) ) ),
% 34.76/35.17 multiply( b, a ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 50946, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.76/35.17 multiply( b, a ) ), multiply( b, a ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 51125, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.76/35.17 'greatest_lower_bound'( b, a ) ), a ), a ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 51173, [ =( 'least_upper_bound'( a, multiply( inverse( b ),
% 34.76/35.17 'greatest_lower_bound'( b, a ) ) ), a ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 51248, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.76/35.17 multiply( inverse( b ), a ), identity ) ), a ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 51364, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 34.76/35.17 identity ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 51561, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.76/35.17 inverse( a ), b ), identity ), b ), b ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 51683, [ =( 'least_upper_bound'( multiply( inverse( a ),
% 34.76/35.17 'greatest_lower_bound'( b, a ) ), b ), b ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 51877, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.76/35.17 multiply( a, b ) ), multiply( a, b ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 51989, [ =( 'greatest_lower_bound'( multiply( a, b ), identity ),
% 34.76/35.17 'greatest_lower_bound'( b, a ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 52111, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse( b )
% 34.76/35.17 ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 52135, [ =( 'greatest_lower_bound'( multiply( a, inverse( b ) ),
% 34.76/35.17 identity ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 52278, [ =( multiply( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.76/35.17 inverse( 'greatest_lower_bound'( b, inverse( a ) ) ) ), multiply( a,
% 34.76/35.17 inverse( b ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 60123, [ =( 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.76/35.17 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'( b, a )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 60127, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.76/35.17 'greatest_lower_bound'( a, identity ) ) ), 'greatest_lower_bound'( b, a )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 61849, [ =( 'greatest_lower_bound'( b, inverse( multiply(
% 34.76/35.17 'greatest_lower_bound'( identity, a ), a ) ) ), 'greatest_lower_bound'( b
% 34.76/35.17 , inverse( a ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 62029, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.76/35.17 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'( b, a )
% 34.76/35.17 ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 66006, [ =( multiply( inverse( a ), 'greatest_lower_bound'( b, a )
% 34.76/35.17 ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 66041, [ =( 'greatest_lower_bound'( identity, multiply( inverse( a
% 34.76/35.17 ), b ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 66084, [ =( multiply( a, inverse( b ) ), multiply( inverse( b ), a
% 34.76/35.17 ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 66170, [ =( multiply( multiply( inverse( b ), a ), b ), a ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 66217, [ =( inverse( multiply( a, b ) ), inverse( multiply( b, a )
% 34.76/35.17 ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 66288, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 34.76/35.17 .
% 34.76/35.17 clause( 66301, [] )
% 34.76/35.17 .
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 % SZS output end Refutation
% 34.76/35.17 found a proof!
% 34.76/35.17
% 34.76/35.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 34.76/35.17
% 34.76/35.17 initialclauses(
% 34.76/35.17 [ clause( 66303, [ =( multiply( identity, X ), X ) ] )
% 34.76/35.17 , clause( 66304, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.76/35.17 , clause( 66305, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 34.76/35.17 multiply( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 66306, [ =( 'greatest_lower_bound'( X, Y ),
% 34.76/35.17 'greatest_lower_bound'( Y, X ) ) ] )
% 34.76/35.17 , clause( 66307, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 34.76/35.17 X ) ) ] )
% 34.76/35.17 , clause( 66308, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 34.76/35.17 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , clause( 66309, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 34.76/35.17 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , clause( 66310, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 34.76/35.17 , clause( 66311, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 34.76/35.17 , clause( 66312, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 34.76/35.17 ) ), X ) ] )
% 34.76/35.17 , clause( 66313, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 34.76/35.17 ) ), X ) ] )
% 34.76/35.17 , clause( 66314, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 66315, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 66316, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 66317, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 66318, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 34.76/35.17 inverse( a ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.76/35.17 , clause( 66319, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 34.76/35.17 ] ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.76/35.17 , clause( 66303, [ =( multiply( identity, X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.76/35.17 , clause( 66304, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66325, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 34.76/35.17 , Y ), Z ) ) ] )
% 34.76/35.17 , clause( 66305, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 34.76/35.17 multiply( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 34.76/35.17 , Z ) ) ] )
% 34.76/35.17 , clause( 66325, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 34.76/35.17 X, Y ), Z ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 34.76/35.17 X ) ) ] )
% 34.76/35.17 , clause( 66306, [ =( 'greatest_lower_bound'( X, Y ),
% 34.76/35.17 'greatest_lower_bound'( Y, X ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 34.76/35.17 ] )
% 34.76/35.17 , clause( 66307, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 34.76/35.17 X ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 34.76/35.17 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , clause( 66308, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 34.76/35.17 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , clause( 66309, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 34.76/35.17 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 7, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 34.76/35.17 , clause( 66310, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 34.76/35.17 , clause( 66311, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 34.76/35.17 ) ] )
% 34.76/35.17 , clause( 66312, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 34.76/35.17 ) ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 , clause( 66313, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 34.76/35.17 ) ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66380, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 34.76/35.17 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 66314, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 34.76/35.17 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 66380, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 34.76/35.17 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66391, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 34.76/35.17 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 66315, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 34.76/35.17 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 66391, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 34.76/35.17 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66403, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 34.76/35.17 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , clause( 66316, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 34.76/35.17 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , clause( 66403, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 34.76/35.17 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66416, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 34.76/35.17 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , clause( 66317, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 34.76/35.17 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , clause( 66416, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 34.76/35.17 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 15, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse( a
% 34.76/35.17 ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.76/35.17 , clause( 66318, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 34.76/35.17 inverse( a ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.76/35.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 16, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 34.76/35.17 , clause( 66319, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 34.76/35.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66446, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 34.76/35.17 Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.76/35.17 ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66449, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 34.76/35.17 ), identity ) ] )
% 34.76/35.17 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.76/35.17 , 0, clause( 66446, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 34.76/35.17 multiply( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 34.76/35.17 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 34.76/35.17 , identity ) ] )
% 34.76/35.17 , clause( 66449, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 34.76/35.17 , Y ), identity ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66455, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 34.76/35.17 Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.76/35.17 ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66460, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 34.76/35.17 , identity ) ) ] )
% 34.76/35.17 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.76/35.17 , 0, clause( 66455, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 34.76/35.17 multiply( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.76/35.17 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 34.76/35.17 identity ) ) ] )
% 34.76/35.17 , clause( 66460, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 34.76/35.17 X, identity ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66465, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 34.76/35.17 Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.76/35.17 ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66470, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 34.76/35.17 ) ) ] )
% 34.76/35.17 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.76/35.17 , 0, clause( 66465, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 34.76/35.17 multiply( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.76/35.17 :=( Y, identity ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 34.76/35.17 ] )
% 34.76/35.17 , clause( 66470, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 34.76/35.17 Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66475, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66476, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , 0, clause( 66475, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.76/35.17 X, Y ) ) ) ] )
% 34.76/35.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 34.76/35.17 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66479, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 34.76/35.17 ), X ) ] )
% 34.76/35.17 , clause( 66476, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 34.76/35.17 ), X ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 , clause( 66479, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 34.76/35.17 X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66480, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66481, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.76/35.17 ) ] )
% 34.76/35.17 , 0, clause( 66480, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.76/35.17 X, Y ) ) ) ] )
% 34.76/35.17 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.76/35.17 :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66484, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 34.76/35.17 ), X ) ] )
% 34.76/35.17 , clause( 66481, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 34.76/35.17 , X ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 , clause( 66484, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 34.76/35.17 ) ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66485, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66486, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.76/35.17 ) ] )
% 34.76/35.17 , 0, clause( 66485, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 34.76/35.17 , Y ), X ) ) ] )
% 34.76/35.17 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.76/35.17 :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66489, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 34.76/35.17 ), X ) ] )
% 34.76/35.17 , clause( 66486, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 34.76/35.17 ), X ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 22, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 , clause( 66489, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 34.76/35.17 X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66490, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66493, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ), X ), Y ),
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, clause( 66490, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 34.76/35.17 ] )
% 34.76/35.17 , 0, 10, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y
% 34.76/35.17 , Z )] ), substitution( 1, [ :=( X, 'least_upper_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ) ), :=( Y, X ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ), X ), Y ),
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 66493, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ), X ), Y ),
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66499, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66504, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 34.76/35.17 'least_upper_bound'( Y, Z ) ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, clause( 66499, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 34.76/35.17 ] )
% 34.76/35.17 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 34.76/35.17 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 24, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.76/35.17 'least_upper_bound'( X, Y ) ), X ), 'greatest_lower_bound'( Z, X ) ) ] )
% 34.76/35.17 , clause( 66504, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 34.76/35.17 'least_upper_bound'( Y, Z ) ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66508, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66511, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 34.76/35.17 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , 0, clause( 66508, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 34.76/35.17 ] )
% 34.76/35.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z
% 34.76/35.17 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 34.76/35.17 , clause( 66511, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 34.76/35.17 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66525, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66530, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 34.76/35.17 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , 0, clause( 66525, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 34.76/35.17 ] )
% 34.76/35.17 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 34.76/35.17 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66543, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Z ), Y ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66530, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Z, Y ) ) )
% 34.76/35.17 ] )
% 34.76/35.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, Y ), X
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 34.76/35.17 , clause( 66543, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 34.76/35.17 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Z ), Y ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66545, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66551, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 34.76/35.17 , 0, clause( 66545, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 34.76/35.17 ] )
% 34.76/35.17 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.76/35.17 :=( Y, Y ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 29, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 34.76/35.17 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 34.76/35.17 , clause( 66551, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 34.76/35.17 ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66557, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66562, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 34.76/35.17 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 34.76/35.17 , clause( 22, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, clause( 66557, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 34.76/35.17 ] )
% 34.76/35.17 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 34.76/35.17 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.76/35.17 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 34.76/35.17 , clause( 66562, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 34.76/35.17 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66567, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66570, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, clause( 66567, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 34.76/35.17 ] )
% 34.76/35.17 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 34.76/35.17 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Z, Y ) )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 34.76/35.17 'least_upper_bound'( Y, X ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 34.76/35.17 , clause( 66570, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 34.76/35.17 ), 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66575, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66578, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 34.76/35.17 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, clause( 66575, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.76/35.17 Y, X ) ) ) ] )
% 34.76/35.17 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.76/35.17 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66579, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 66578, [ =( 'greatest_lower_bound'( X, Y ),
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 34.76/35.17 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 66579, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 34.76/35.17 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66581, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66582, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66581, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 X, Y ) ) ) ] )
% 34.76/35.17 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66583, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 34.76/35.17 , clause( 66582, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 35, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 34.76/35.17 , clause( 66583, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66585, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66588, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), X ) ) ] )
% 34.76/35.17 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, clause( 66585, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 X, Y ) ) ) ] )
% 34.76/35.17 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.76/35.17 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66589, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 34.76/35.17 'least_upper_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 66588, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), X ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 34.76/35.17 'least_upper_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 66589, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 34.76/35.17 , 'least_upper_bound'( X, Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66590, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66591, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , 0, clause( 66590, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 X, Y ) ) ) ] )
% 34.76/35.17 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.76/35.17 :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66594, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 34.76/35.17 ), X ) ] )
% 34.76/35.17 , clause( 66591, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 34.76/35.17 , X ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 37, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 , clause( 66594, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 34.76/35.17 ) ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66595, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66596, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.76/35.17 ) ] )
% 34.76/35.17 , 0, clause( 66595, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 X, Y ) ) ) ] )
% 34.76/35.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 34.76/35.17 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66599, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 34.76/35.17 ), X ) ] )
% 34.76/35.17 , clause( 66596, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 34.76/35.17 ), X ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 38, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 , clause( 66599, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 34.76/35.17 X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66601, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 37, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66602, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66601, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 Y, X ) ) ) ] )
% 34.76/35.17 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 34.76/35.17 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66603, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 66602, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 34.76/35.17 'greatest_lower_bound'( Y, Z ) ) ] )
% 34.76/35.17 , clause( 66603, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66604, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 37, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66605, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.76/35.17 ) ] )
% 34.76/35.17 , 0, clause( 66604, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.76/35.17 Y, X ) ) ) ] )
% 34.76/35.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 34.76/35.17 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66608, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 34.76/35.17 ), X ) ] )
% 34.76/35.17 , clause( 66605, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 34.76/35.17 ), X ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 34.76/35.17 X ) ] )
% 34.76/35.17 , clause( 66608, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 34.76/35.17 X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66610, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66611, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 34.76/35.17 , X ), Y ) ) ) ] )
% 34.76/35.17 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66610, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.76/35.17 Y, X ) ) ) ] )
% 34.76/35.17 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 34.76/35.17 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66612, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 34.76/35.17 'least_upper_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 66611, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 34.76/35.17 , X ), Y ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 43, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 34.76/35.17 'least_upper_bound'( Y, Z ) ) ] )
% 34.76/35.17 , clause( 66612, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 34.76/35.17 'least_upper_bound'( X, Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66614, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66615, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66614, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 34.76/35.17 , Y ), X ) ) ] )
% 34.76/35.17 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66616, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 , clause( 66615, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 , clause( 66616, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66617, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.76/35.17 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66620, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 34.76/35.17 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.76/35.17 ) ] )
% 34.76/35.17 , 0, clause( 66617, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 34.76/35.17 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 34.76/35.17 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 47, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 34.76/35.17 , clause( 66620, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 34.76/35.17 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66635, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , clause( 38, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66636, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66635, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), X ) ) ] )
% 34.76/35.17 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66637, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 , clause( 66636, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 54, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 , clause( 66637, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66639, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 34.76/35.17 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66640, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 34.76/35.17 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.76/35.17 ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66639, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z, T )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66642, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 34.76/35.17 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 66640, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 34.76/35.17 ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X,
% 34.76/35.17 T ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 60, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 34.76/35.17 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 66642, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z )
% 34.76/35.17 , multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 34.76/35.17 , T ) ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66645, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 34.76/35.17 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66647, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 34.76/35.17 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 34.76/35.17 ) ) ) ] )
% 34.76/35.17 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.76/35.17 ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66645, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( Z, T ) )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66649, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 34.76/35.17 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 34.76/35.17 , T ) ) ) ) ] )
% 34.76/35.17 , clause( 66647, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T )
% 34.76/35.17 ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ),
% 34.76/35.17 T ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 61, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 34.76/35.17 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 34.76/35.17 ) ] )
% 34.76/35.17 , clause( 66649, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 34.76/35.17 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 34.76/35.17 , T ) ) ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66650, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 34.76/35.17 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66652, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.76/35.17 ) ] )
% 34.76/35.17 , 0, clause( 66650, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 34.76/35.17 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66654, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 34.76/35.17 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 34.76/35.17 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 34.76/35.17 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, clause( 66652, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 62, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 34.76/35.17 'least_upper_bound'( Z, Y ) ) ) ] )
% 34.76/35.17 , clause( 66654, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 34.76/35.17 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66656, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 34.76/35.17 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66658, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 34.76/35.17 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 34.76/35.17 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.76/35.17 , 0, clause( 66656, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 34.76/35.17 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66661, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 34.76/35.17 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 34.76/35.17 , clause( 66658, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 34.76/35.17 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 63, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 34.76/35.17 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 34.76/35.17 , clause( 66661, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 34.76/35.17 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66664, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 34.76/35.17 ) ) ] )
% 34.76/35.17 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 34.76/35.17 ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66667, [ =( multiply( inverse( identity ), X ), multiply( identity
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.76/35.17 , 0, clause( 66664, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 34.76/35.17 ), Y ) ) ] )
% 34.76/35.17 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 34.76/35.17 inverse( identity ) ), :=( Y, X )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66668, [ =( multiply( inverse( identity ), X ), X ) ] )
% 34.76/35.17 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.76/35.17 , 0, clause( 66667, [ =( multiply( inverse( identity ), X ), multiply(
% 34.76/35.17 identity, X ) ) ] )
% 34.76/35.17 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 68, [ =( multiply( inverse( identity ), X ), X ) ] )
% 34.76/35.17 , clause( 66668, [ =( multiply( inverse( identity ), X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66671, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 34.76/35.17 Y, Z ) ) ) ] )
% 34.76/35.17 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.76/35.17 ), Z ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66676, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 34.76/35.17 multiply( X, Y ) ) ] )
% 34.76/35.17 , clause( 68, [ =( multiply( inverse( identity ), X ), X ) ] )
% 34.76/35.17 , 0, clause( 66671, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 34.76/35.17 multiply( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.76/35.17 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 69, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 34.76/35.17 multiply( Y, X ) ) ] )
% 34.76/35.17 , clause( 66676, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 34.76/35.17 multiply( X, Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66681, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 34.76/35.17 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66683, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , 0, clause( 66681, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 34.76/35.17 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66685, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 34.76/35.17 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 34.76/35.17 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 34.76/35.17 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, clause( 66683, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 71, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 34.76/35.17 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 34.76/35.17 , clause( 66685, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66687, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 34.76/35.17 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66688, [ =( multiply( X, 'greatest_lower_bound'( multiply( Y, Z ),
% 34.76/35.17 T ) ), 'greatest_lower_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 34.76/35.17 X, T ) ) ) ] )
% 34.76/35.17 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.76/35.17 ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66687, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z, T )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66690, [ =( 'greatest_lower_bound'( multiply( multiply( X, Y ), Z )
% 34.76/35.17 , multiply( X, T ) ), multiply( X, 'greatest_lower_bound'( multiply( Y, Z
% 34.76/35.17 ), T ) ) ) ] )
% 34.76/35.17 , clause( 66688, [ =( multiply( X, 'greatest_lower_bound'( multiply( Y, Z )
% 34.76/35.17 , T ) ), 'greatest_lower_bound'( multiply( multiply( X, Y ), Z ),
% 34.76/35.17 multiply( X, T ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 72, [ =( 'greatest_lower_bound'( multiply( multiply( X, Y ), Z ),
% 34.76/35.17 multiply( X, T ) ), multiply( X, 'greatest_lower_bound'( multiply( Y, Z )
% 34.76/35.17 , T ) ) ) ] )
% 34.76/35.17 , clause( 66690, [ =( 'greatest_lower_bound'( multiply( multiply( X, Y ), Z
% 34.76/35.17 ), multiply( X, T ) ), multiply( X, 'greatest_lower_bound'( multiply( Y
% 34.76/35.17 , Z ), T ) ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66693, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 34.76/35.17 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66695, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 34.76/35.17 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.76/35.17 , 0, clause( 66693, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 34.76/35.17 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66698, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 34.76/35.17 ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , clause( 66695, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y
% 34.76/35.17 ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 74, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X ),
% 34.76/35.17 Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.76/35.17 , clause( 66698, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 34.76/35.17 X ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66701, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 34.76/35.17 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66704, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 34.76/35.17 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.76/35.17 , 0, clause( 66701, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.76/35.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.76/35.17 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 34.76/35.17 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66707, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 34.76/35.17 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , clause( 66704, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X
% 34.76/35.17 ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 75, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 34.76/35.17 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , clause( 66707, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 34.76/35.17 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.76/35.17 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66708, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , clause( 54, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66710, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 34.76/35.17 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66708, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), T ) ), :=( Y, X
% 34.76/35.17 ), :=( Z, Y )] ), substitution( 1, [ :=( X, 'least_upper_bound'( X, Y )
% 34.76/35.17 ), :=( Y, Z ), :=( Z, T )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66711, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 34.76/35.17 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 66710, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 77, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 34.76/35.17 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 34.76/35.17 , clause( 66711, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 34.76/35.17 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66712, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , clause( 54, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66714, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Z,
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 34.76/35.17 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , 0, clause( 66712, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 34.76/35.17 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66720, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Y, X ), Z ), X ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66714, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Z
% 34.76/35.17 , 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 34.76/35.17 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66721, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Y, X ), Z ), X ), X ) ] )
% 34.76/35.17 , clause( 66720, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Y, X ), Z ), X ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 81, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Z, X ), Y ), X ), X ) ] )
% 34.76/35.17 , clause( 66721, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Y, X ), Z ), X ), X ) ] )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66723, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 34.76/35.17 , X ) ) ] )
% 34.76/35.17 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66728, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( Y, 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.76/35.17 , clause( 81, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Z, X ), Y ), X ), X ) ] )
% 34.76/35.17 , 0, clause( 66723, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 34.76/35.17 , Y ), X ) ) ] )
% 34.76/35.17 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 34.76/35.17 substitution( 1, [ :=( X, 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 X, Y ), Z ) ), :=( Y, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66729, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ), Z ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66728, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( Y, 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.76/35.17 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'( X, Y
% 34.76/35.17 ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 34.76/35.17 )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66731, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Y, X ), Y ), Z ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66729, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ), Z ) ) ] )
% 34.76/35.17 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66732, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.76/35.17 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.76/35.17 , clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.76/35.17 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.76/35.17 , 0, clause( 66731, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.76/35.17 , Y ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( Y, X ), Y ), Z ) ) ] )
% 34.76/35.17 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.76/35.17 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 88, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , clause( 66732, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 34.76/35.17 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66734, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66737, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( Y, Z ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.76/35.17 , clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 34.76/35.17 , X ) ] )
% 34.76/35.17 , 0, clause( 66734, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.76/35.17 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66738, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.76/35.17 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ), X ), Y ) ) ] )
% 34.76/35.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.76/35.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66737, [ =( 'greatest_lower_bound'( X, Y ),
% 34.76/35.17 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 34.76/35.17 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.76/35.17 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( Y, Z ) ), :=( Y, X )
% 34.76/35.17 , :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 34.76/35.17 ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66739, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , clause( 66738, [ =( 'greatest_lower_bound'( X, Y ),
% 34.76/35.17 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z
% 34.76/35.17 ), X ), Y ) ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 subsumption(
% 34.76/35.17 clause( 96, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , clause( 66739, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.76/35.17 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 34.76/35.17 )
% 34.76/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.76/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.76/35.17 clause( 66740, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 34.76/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66742, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z,
% 34.76/35.17 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 34.76/35.17 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.76/35.17 ) ] )
% 34.76/35.17 , 0, clause( 66740, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 34.76/35.17 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 34.76/35.17 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 paramod(
% 34.76/35.17 clause( 66748, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.76/35.17 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 34.76/35.17 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.76/35.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.76/35.17 , 0, clause( 66742, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z
% 34.76/35.17 , 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 34.76/35.17 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 34.76/35.17 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.76/35.17
% 34.76/35.17
% 34.76/35.17 eqswap(
% 34.80/35.17 clause( 66749, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.17 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 34.80/35.17 , clause( 66748, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.17 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 34.80/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.17
% 34.80/35.17
% 34.80/35.17 subsumption(
% 34.80/35.17 clause( 100, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.17 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 34.80/35.17 , clause( 66749, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.17 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 34.80/35.17 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.80/35.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.17
% 34.80/35.17
% 34.80/35.17 eqswap(
% 34.80/35.17 clause( 66750, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 34.80/35.17 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.17 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 34.80/35.17 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.17
% 34.80/35.17
% 34.80/35.17 paramod(
% 34.80/35.17 clause( 66752, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.80/35.18 ) ] )
% 34.80/35.18 , 0, clause( 66750, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66754, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 34.80/35.18 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 34.80/35.18 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 66752, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 34.80/35.18 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 107, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 34.80/35.18 'least_upper_bound'( Z, X ), Y ) ) ] )
% 34.80/35.18 , clause( 66754, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 34.80/35.18 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66756, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 34.80/35.18 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66757, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 34.80/35.18 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.18 , 0, clause( 66756, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 34.80/35.18 identity ), :=( Y, Y ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66759, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 34.80/35.18 'least_upper_bound'( identity, X ), Y ) ) ] )
% 34.80/35.18 , clause( 66757, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 34.80/35.18 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 110, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 34.80/35.18 'least_upper_bound'( identity, Y ), X ) ) ] )
% 34.80/35.18 , clause( 66759, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 34.80/35.18 'least_upper_bound'( identity, X ), Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66762, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 34.80/35.18 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66764, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.18 , 0, clause( 66762, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, Y ), :=( Z, identity )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66766, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 34.80/35.18 'least_upper_bound'( X, identity ), Y ) ) ] )
% 34.80/35.18 , clause( 66764, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 111, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 34.80/35.18 'least_upper_bound'( Y, identity ), X ) ) ] )
% 34.80/35.18 , clause( 66766, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 34.80/35.18 'least_upper_bound'( X, identity ), Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66768, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 34.80/35.18 , clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66770, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), Z ), Y ), 'greatest_lower_bound'( Y,
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.18 , clause( 100, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 34.80/35.18 , 0, clause( 66768, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 34.80/35.18 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 34.80/35.18 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 34.80/35.18 ), Z ) ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66771, [ =( Y, 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.18 , clause( 100, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 34.80/35.18 , 0, clause( 66770, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), Z ), Y ), 'greatest_lower_bound'( Y,
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 34.80/35.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66773, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 34.80/35.18 , clause( 66771, [ =( Y, 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 114, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 34.80/35.18 , clause( 66773, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66776, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 34.80/35.18 , X ) ) ] )
% 34.80/35.18 , clause( 38, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 34.80/35.18 , X ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66781, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.80/35.18 'least_upper_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 34.80/35.18 , Z ) ) ) ] )
% 34.80/35.18 , clause( 100, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 34.80/35.18 , 0, clause( 66776, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 34.80/35.18 , Y ), X ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 34.80/35.18 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 34.80/35.18 ), Z ) ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66782, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( Y, 'least_upper_bound'( X, Y )
% 34.80/35.18 ), Z ) ) ] )
% 34.80/35.18 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 66781, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 34.80/35.18 Z ), 'least_upper_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( X
% 34.80/35.18 , Y ), Z ) ) ) ] )
% 34.80/35.18 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, 'least_upper_bound'( X, Y ) )
% 34.80/35.18 , :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66784, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Y
% 34.80/35.18 ), Z ) ) ] )
% 34.80/35.18 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 66782, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 34.80/35.18 Z ), 'least_upper_bound'( 'least_upper_bound'( Y, 'least_upper_bound'( X
% 34.80/35.18 , Y ) ), Z ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 34.80/35.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66785, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 34.80/35.18 'least_upper_bound'( X, Y ) ) ] )
% 34.80/35.18 , 0, clause( 66784, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 34.80/35.18 Z ), 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X
% 34.80/35.18 ), Y ), Z ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 115, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 66785, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 34.80/35.18 , 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66787, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 34.80/35.18 , clause( 114, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66791, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( X, Z ) ) ) ] )
% 34.80/35.18 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 34.80/35.18 , X ) ] )
% 34.80/35.18 , 0, clause( 66787, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 34.80/35.18 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66793, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.80/35.18 , 'least_upper_bound'( X, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , clause( 66791, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'least_upper_bound'( X, Z ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 126, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'least_upper_bound'( X, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , clause( 66793, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 34.80/35.18 ), 'least_upper_bound'( X, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66794, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66796, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.80/35.18 , X ) ) ] )
% 34.80/35.18 , 0, clause( 66794, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66798, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 34.80/35.18 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 66796, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 34.80/35.18 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 146, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 34.80/35.18 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 34.80/35.18 , clause( 66798, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 34.80/35.18 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66800, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66801, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X
% 34.80/35.18 ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, clause( 66800, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 34.80/35.18 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 147, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X )
% 34.80/35.18 , 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 34.80/35.18 , clause( 66801, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ),
% 34.80/35.18 X ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66806, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66808, [ =( multiply( 'greatest_lower_bound'( X, inverse( Y ) ), Y
% 34.80/35.18 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, clause( 66806, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 148, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X )
% 34.80/35.18 , 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 34.80/35.18 , clause( 66808, [ =( multiply( 'greatest_lower_bound'( X, inverse( Y ) ),
% 34.80/35.18 Y ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66812, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66813, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 34.80/35.18 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.18 , 0, clause( 66812, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 34.80/35.18 identity ), :=( Y, Y ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66815, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 34.80/35.18 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 34.80/35.18 , clause( 66813, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 34.80/35.18 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 149, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 34.80/35.18 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 34.80/35.18 , clause( 66815, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 34.80/35.18 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66818, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66820, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.18 , 0, clause( 66818, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, Y ), :=( Z, identity )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66822, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 34.80/35.18 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 34.80/35.18 , clause( 66820, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 34.80/35.18 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 150, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 34.80/35.18 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 34.80/35.18 , clause( 66822, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 34.80/35.18 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66824, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 34.80/35.18 identity ) ), Y ) ) ] )
% 34.80/35.18 , clause( 69, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 34.80/35.18 multiply( Y, X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66827, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 34.80/35.18 identity, X ) ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, clause( 66824, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 34.80/35.18 identity ) ), Y ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 34.80/35.18 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66828, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 34.80/35.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.18 , 0, clause( 66827, [ =( multiply( inverse( inverse( identity ) ), X ),
% 34.80/35.18 multiply( identity, X ) ) ] )
% 34.80/35.18 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 155, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 34.80/35.18 , clause( 66828, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 34.80/35.18 )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66830, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 34.80/35.18 , clause( 155, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66832, [ =( inverse( identity ), identity ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, clause( 66830, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 34.80/35.18 ] )
% 34.80/35.18 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 34.80/35.18 , [ :=( X, inverse( identity ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 161, [ =( inverse( identity ), identity ) ] )
% 34.80/35.18 , clause( 66832, [ =( inverse( identity ), identity ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66835, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 34.80/35.18 Y ) ), Y ) ) ] )
% 34.80/35.18 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 34.80/35.18 , identity ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66838, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 34.80/35.18 identity, X ) ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, clause( 66835, [ =( multiply( X, identity ), multiply( multiply( X,
% 34.80/35.18 inverse( Y ) ), Y ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 34.80/35.18 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66839, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 34.80/35.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.18 , 0, clause( 66838, [ =( multiply( inverse( inverse( X ) ), identity ),
% 34.80/35.18 multiply( identity, X ) ) ] )
% 34.80/35.18 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 164, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 34.80/35.18 , clause( 66839, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 34.80/35.18 )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66842, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Y ) ) ] )
% 34.80/35.18 , clause( 29, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.18 X ), 'greatest_lower_bound'( Y, X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66844, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.18 a ) ), 'least_upper_bound'( b, inverse( b ) ) ), 'greatest_lower_bound'(
% 34.80/35.18 identity, 'least_upper_bound'( b, inverse( b ) ) ) ) ] )
% 34.80/35.18 , clause( 15, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.18 a ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 66842, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Y ) ) ] )
% 34.80/35.18 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.18 'least_upper_bound'( a, inverse( a ) ) ), :=( Y, 'least_upper_bound'( b,
% 34.80/35.18 inverse( b ) ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66845, [ =( identity, 'greatest_lower_bound'( identity,
% 34.80/35.18 'least_upper_bound'( b, inverse( b ) ) ) ) ] )
% 34.80/35.18 , clause( 15, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.18 a ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 66844, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 34.80/35.18 inverse( a ) ), 'least_upper_bound'( b, inverse( b ) ) ),
% 34.80/35.18 'greatest_lower_bound'( identity, 'least_upper_bound'( b, inverse( b ) )
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66847, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.18 b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , clause( 66845, [ =( identity, 'greatest_lower_bound'( identity,
% 34.80/35.18 'least_upper_bound'( b, inverse( b ) ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 169, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'( b
% 34.80/35.18 , inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , clause( 66847, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.18 b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66850, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 34.80/35.18 , Y ) ) ] )
% 34.80/35.18 , clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 34.80/35.18 , X ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66852, [ =( 'least_upper_bound'( b, inverse( b ) ),
% 34.80/35.18 'least_upper_bound'( identity, 'least_upper_bound'( b, inverse( b ) ) ) )
% 34.80/35.18 ] )
% 34.80/35.18 , clause( 15, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.18 a ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 66850, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 34.80/35.18 , Y ), Y ) ) ] )
% 34.80/35.18 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.18 'least_upper_bound'( a, inverse( a ) ) ), :=( Y, 'least_upper_bound'( b,
% 34.80/35.18 inverse( b ) ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66853, [ =( 'least_upper_bound'( b, inverse( b ) ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( identity, b ), inverse( b ) ) )
% 34.80/35.18 ] )
% 34.80/35.18 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 66852, [ =( 'least_upper_bound'( b, inverse( b ) ),
% 34.80/35.18 'least_upper_bound'( identity, 'least_upper_bound'( b, inverse( b ) ) ) )
% 34.80/35.18 ] )
% 34.80/35.18 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, b ), :=( Z, inverse( b
% 34.80/35.18 ) )] ), substitution( 1, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66854, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, b )
% 34.80/35.18 , inverse( b ) ), 'least_upper_bound'( b, inverse( b ) ) ) ] )
% 34.80/35.18 , clause( 66853, [ =( 'least_upper_bound'( b, inverse( b ) ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( identity, b ), inverse( b ) ) )
% 34.80/35.18 ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 172, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, b ),
% 34.80/35.18 inverse( b ) ), 'least_upper_bound'( b, inverse( b ) ) ) ] )
% 34.80/35.18 , clause( 66854, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, b
% 34.80/35.18 ), inverse( b ) ), 'least_upper_bound'( b, inverse( b ) ) ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66855, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 a, inverse( a ) ), 'least_upper_bound'( b, inverse( b ) ) ) ) ] )
% 34.80/35.18 , clause( 15, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.18 a ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66856, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 inverse( a ), a ), 'least_upper_bound'( b, inverse( b ) ) ) ) ] )
% 34.80/35.18 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.80/35.18 ) ] )
% 34.80/35.18 , 0, clause( 66855, [ =( identity, 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( a, inverse( a ) ), 'least_upper_bound'( b, inverse(
% 34.80/35.18 b ) ) ) ) ] )
% 34.80/35.18 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, inverse( a ) )] ),
% 34.80/35.18 substitution( 1, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66860, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( a
% 34.80/35.18 ), a ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , clause( 66856, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 inverse( a ), a ), 'least_upper_bound'( b, inverse( b ) ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 177, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( a )
% 34.80/35.18 , a ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , clause( 66860, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 34.80/35.18 a ), a ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66865, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 34.80/35.18 ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66868, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 164, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 34.80/35.18 , 0, clause( 66865, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 34.80/35.18 ), Y ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 34.80/35.18 inverse( X ) ) ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 34.80/35.18 ) ] )
% 34.80/35.18 , clause( 66868, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 34.80/35.18 Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66875, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.80/35.18 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 34.80/35.18 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66878, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 34.80/35.18 identity, Y ) ), 'least_upper_bound'( X, multiply( inverse( inverse( X )
% 34.80/35.18 ), Y ) ) ) ] )
% 34.80/35.18 , clause( 164, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 34.80/35.18 , 0, clause( 66875, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.80/35.18 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 34.80/35.18 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66888, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 34.80/35.18 identity, Y ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 66878, [ =( multiply( inverse( inverse( X ) ),
% 34.80/35.18 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply(
% 34.80/35.18 inverse( inverse( X ) ), Y ) ) ) ] )
% 34.80/35.18 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66890, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.80/35.18 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 66888, [ =( multiply( inverse( inverse( X ) ),
% 34.80/35.18 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply( X
% 34.80/35.18 , Y ) ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 34.80/35.18 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66891, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 34.80/35.18 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 34.80/35.18 , clause( 66890, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.80/35.18 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 186, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 34.80/35.18 'least_upper_bound'( identity, Y ) ) ) ] )
% 34.80/35.18 , clause( 66891, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.18 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66893, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.80/35.18 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 34.80/35.18 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66897, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 34.80/35.18 Y, identity ) ), 'least_upper_bound'( multiply( inverse( inverse( X ) ),
% 34.80/35.18 Y ), X ) ) ] )
% 34.80/35.18 , clause( 164, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 34.80/35.18 , 0, clause( 66893, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.80/35.18 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 34.80/35.18 inverse( inverse( X ) ) ), :=( Y, Y ), :=( Z, identity )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66899, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 34.80/35.18 Y, identity ) ), 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.80/35.18 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 66897, [ =( multiply( inverse( inverse( X ) ),
% 34.80/35.18 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( multiply(
% 34.80/35.18 inverse( inverse( X ) ), Y ), X ) ) ] )
% 34.80/35.18 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66901, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.80/35.18 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 66899, [ =( multiply( inverse( inverse( X ) ),
% 34.80/35.18 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( multiply( X, Y
% 34.80/35.18 ), X ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y,
% 34.80/35.18 identity ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66902, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 34.80/35.18 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 34.80/35.18 , clause( 66901, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 34.80/35.18 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 187, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 34.80/35.18 'least_upper_bound'( Y, identity ) ) ) ] )
% 34.80/35.18 , clause( 66902, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 34.80/35.18 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66903, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 34.80/35.18 ), Z ), X ), Y ) ) ] )
% 34.80/35.18 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ), X ), Y ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66907, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 Y, 'greatest_lower_bound'( 'least_upper_bound'( 'greatest_lower_bound'( X
% 34.80/35.18 , Y ), Z ), X ) ) ) ] )
% 34.80/35.18 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.80/35.18 , X ) ) ] )
% 34.80/35.18 , 0, clause( 66903, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ), X ), Y ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ), X ) ), :=( Y, Y
% 34.80/35.18 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66935, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 34.80/35.18 , Y ), Z ) ), X ) ) ] )
% 34.80/35.18 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.80/35.18 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 66907, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( Y, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ), X ) ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ) ), :=( Z, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66936, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ), X ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , clause( 66935, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ) ), X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 212, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ), X ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , clause( 66936, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ), X ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66937, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66940, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , clause( 164, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 34.80/35.18 , 0, clause( 66937, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 34.80/35.18 ), Y ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, identity )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , clause( 66940, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66945, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66948, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, clause( 66945, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 34.80/35.18 ), Y ) ) ] )
% 34.80/35.18 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, inverse( X ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 34.80/35.18 , clause( 66948, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66951, [ =( X, multiply( X, identity ) ) ] )
% 34.80/35.18 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66954, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 34.80/35.18 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 66951, [ =( X, multiply( X, identity ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 34.80/35.18 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66955, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.18 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , 0, clause( 66954, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 34.80/35.18 ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.18 , clause( 66955, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66958, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.80/35.18 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 34.80/35.18 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66959, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 34.80/35.18 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , 0, clause( 66958, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, identity ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66961, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.18 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 34.80/35.18 , clause( 66959, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 34.80/35.18 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 225, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.18 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 34.80/35.18 , clause( 66961, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 34.80/35.18 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66964, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 34.80/35.18 Y ) ), Y ) ) ] )
% 34.80/35.18 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 34.80/35.18 , identity ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66966, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 34.80/35.18 inverse( Y ) ) ) ] )
% 34.80/35.18 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.18 , 0, clause( 66964, [ =( multiply( X, identity ), multiply( multiply( X,
% 34.80/35.18 inverse( Y ) ), Y ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, inverse( Y ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66967, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 34.80/35.18 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , 0, clause( 66966, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 34.80/35.18 ), inverse( Y ) ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66968, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 34.80/35.18 , clause( 66967, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 227, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 34.80/35.18 , clause( 66968, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66970, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ) ) ] )
% 34.80/35.18 , clause( 24, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.80/35.18 'least_upper_bound'( X, Y ) ), X ), 'greatest_lower_bound'( Z, X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66972, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.18 a ) ), b ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.80/35.18 , clause( 15, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.18 a ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 66970, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 34.80/35.18 , Z ) ), Y ) ) ] )
% 34.80/35.18 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.18 'least_upper_bound'( a, inverse( a ) ) ), :=( Y, b ), :=( Z, inverse( b )
% 34.80/35.18 )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 229, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.18 a ) ), b ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.80/35.18 , clause( 66972, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 34.80/35.18 inverse( a ) ), b ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66976, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66979, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y )
% 34.80/35.18 ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 66976, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66982, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 34.80/35.18 identity ), multiply( 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 66979, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y
% 34.80/35.18 ) ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 235, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 34.80/35.18 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 66982, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 34.80/35.18 identity ), multiply( 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66984, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.80/35.18 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 34.80/35.18 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66986, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) )
% 34.80/35.18 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 34.80/35.18 , clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 66984, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.80/35.18 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 239, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) )
% 34.80/35.18 , 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 34.80/35.18 , clause( 66986, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X )
% 34.80/35.18 ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66990, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 34.80/35.18 , clause( 227, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66995, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 34.80/35.18 identity, inverse( Y ) ) ) ] )
% 34.80/35.18 , clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 34.80/35.18 ), identity ) ] )
% 34.80/35.18 , 0, clause( 66990, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 66996, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.18 , 0, clause( 66995, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 34.80/35.18 multiply( identity, inverse( Y ) ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 242, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 34.80/35.18 ) ] )
% 34.80/35.18 , clause( 66996, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 34.80/35.18 Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 66999, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67000, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 34.80/35.18 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 227, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 34.80/35.18 , 0, clause( 66999, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 243, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 34.80/35.18 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 34.80/35.18 ) ] )
% 34.80/35.18 , clause( 67000, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 34.80/35.18 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 34.80/35.18 ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67005, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67007, [ =( multiply( 'greatest_lower_bound'( X, multiply( Y, Z ) )
% 34.80/35.18 , inverse( Z ) ), 'greatest_lower_bound'( multiply( X, inverse( Z ) ), Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 227, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 34.80/35.18 , 0, clause( 67005, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 244, [ =( multiply( 'greatest_lower_bound'( Z, multiply( X, Y ) ),
% 34.80/35.18 inverse( Y ) ), 'greatest_lower_bound'( multiply( Z, inverse( Y ) ), X )
% 34.80/35.18 ) ] )
% 34.80/35.18 , clause( 67007, [ =( multiply( 'greatest_lower_bound'( X, multiply( Y, Z )
% 34.80/35.18 ), inverse( Z ) ), 'greatest_lower_bound'( multiply( X, inverse( Z ) ),
% 34.80/35.18 Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67010, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 242, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67014, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 34.80/35.18 inverse( multiply( X, Y ) ) ) ) ] )
% 34.80/35.18 , clause( 242, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 67010, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 34.80/35.18 ), X ) ) ] )
% 34.80/35.18 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67015, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 185, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 67014, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 34.80/35.18 inverse( multiply( X, Y ) ) ) ) ] )
% 34.80/35.18 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 34.80/35.18 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67016, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 67015, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 34.80/35.18 ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 248, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 34.80/35.18 ) ] )
% 34.80/35.18 , clause( 67016, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 34.80/35.18 X ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67018, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 34.80/35.18 , clause( 227, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67021, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 34.80/35.18 inverse( X ) ) ) ] )
% 34.80/35.18 , clause( 242, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 67018, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67022, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 34.80/35.18 multiply( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 67021, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 34.80/35.18 inverse( X ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 249, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 34.80/35.18 X, Y ) ) ) ] )
% 34.80/35.18 , clause( 67022, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 34.80/35.18 multiply( X, Y ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67024, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 34.80/35.18 Y ) ), Y ) ) ] )
% 34.80/35.18 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 34.80/35.18 , identity ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67030, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 34.80/35.18 identity ), multiply( inverse( Y ), X ) ) ] )
% 34.80/35.18 , clause( 242, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 67024, [ =( multiply( X, identity ), multiply( multiply( X,
% 34.80/35.18 inverse( Y ) ), Y ) ) ] )
% 34.80/35.18 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 34.80/35.18 substitution( 1, [ :=( X, inverse( multiply( inverse( X ), Y ) ) ), :=( Y
% 34.80/35.18 , X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67031, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 34.80/35.18 inverse( Y ), X ) ) ] )
% 34.80/35.18 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , 0, clause( 67030, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 34.80/35.18 identity ), multiply( inverse( Y ), X ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, inverse( multiply( inverse( X ), Y ) ) )] )
% 34.80/35.18 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 250, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 34.80/35.18 Y ), X ) ) ] )
% 34.80/35.18 , clause( 67031, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 34.80/35.18 inverse( Y ), X ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67034, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67036, [ =( multiply( 'greatest_lower_bound'( X, inverse( multiply(
% 34.80/35.18 Y, Z ) ) ), Y ), 'greatest_lower_bound'( multiply( X, Y ), inverse( Z ) )
% 34.80/35.18 ) ] )
% 34.80/35.18 , clause( 242, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 67034, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Y, Z ) ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 252, [ =( multiply( 'greatest_lower_bound'( Z, inverse( multiply( X
% 34.80/35.18 , Y ) ) ), X ), 'greatest_lower_bound'( multiply( Z, X ), inverse( Y ) )
% 34.80/35.18 ) ] )
% 34.80/35.18 , clause( 67036, [ =( multiply( 'greatest_lower_bound'( X, inverse(
% 34.80/35.18 multiply( Y, Z ) ) ), Y ), 'greatest_lower_bound'( multiply( X, Y ),
% 34.80/35.18 inverse( Z ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67040, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 242, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67048, [ =( inverse( multiply( X, Y ) ), multiply( inverse(
% 34.80/35.18 multiply( multiply( Z, X ), Y ) ), Z ) ) ] )
% 34.80/35.18 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.80/35.18 ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 67040, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 34.80/35.18 ), X ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 34.80/35.18 substitution( 1, [ :=( X, Z ), :=( Y, multiply( X, Y ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67050, [ =( multiply( inverse( multiply( multiply( Z, X ), Y ) ), Z
% 34.80/35.18 ), inverse( multiply( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 67048, [ =( inverse( multiply( X, Y ) ), multiply( inverse(
% 34.80/35.18 multiply( multiply( Z, X ), Y ) ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 257, [ =( multiply( inverse( multiply( multiply( X, Y ), Z ) ), X )
% 34.80/35.18 , inverse( multiply( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 67050, [ =( multiply( inverse( multiply( multiply( Z, X ), Y ) )
% 34.80/35.18 , Z ), inverse( multiply( X, Y ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67052, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 248, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67057, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 34.80/35.18 inverse( multiply( X, identity ) ) ) ) ] )
% 34.80/35.18 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 34.80/35.18 , identity ) ) ] )
% 34.80/35.18 , 0, clause( 67052, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 34.80/35.18 ) ) ) ) ] )
% 34.80/35.18 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67058, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 34.80/35.18 inverse( X ) ) ) ] )
% 34.80/35.18 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , 0, clause( 67057, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 34.80/35.18 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 34.80/35.18 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 258, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 34.80/35.18 inverse( X ) ) ) ] )
% 34.80/35.18 , clause( 67058, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 34.80/35.18 inverse( X ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67061, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.80/35.18 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 34.80/35.18 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67063, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 34.80/35.18 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 34.80/35.18 Z ) ) ) ] )
% 34.80/35.18 , clause( 248, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 67061, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 34.80/35.18 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Z, X ) ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 260, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 34.80/35.18 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 34.80/35.18 ] )
% 34.80/35.18 , clause( 67063, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 34.80/35.18 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 34.80/35.18 Z ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67067, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 34.80/35.18 inverse( Y ) ) ) ] )
% 34.80/35.18 , clause( 249, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 34.80/35.18 multiply( X, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67073, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) ),
% 34.80/35.18 multiply( inverse( Z ), multiply( Y, inverse( X ) ) ) ) ] )
% 34.80/35.18 , clause( 258, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 34.80/35.18 inverse( X ) ) ) ] )
% 34.80/35.18 , 0, clause( 67067, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 34.80/35.18 ), inverse( Y ) ) ) ] )
% 34.80/35.18 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, Z ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67074, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) ),
% 34.80/35.18 multiply( multiply( inverse( Z ), Y ), inverse( X ) ) ) ] )
% 34.80/35.18 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.80/35.18 ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 67073, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z
% 34.80/35.18 ) ), multiply( inverse( Z ), multiply( Y, inverse( X ) ) ) ) ] )
% 34.80/35.18 , 0, 8, substitution( 0, [ :=( X, inverse( Z ) ), :=( Y, Y ), :=( Z,
% 34.80/35.18 inverse( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67075, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 34.80/35.18 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 34.80/35.18 , clause( 67074, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) )
% 34.80/35.18 , multiply( multiply( inverse( Z ), Y ), inverse( X ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 270, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 34.80/35.18 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 34.80/35.18 , clause( 67075, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) )
% 34.80/35.18 , inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67076, [ =( 'greatest_lower_bound'( identity, b ),
% 34.80/35.18 'greatest_lower_bound'( 'least_upper_bound'( a, inverse( a ) ), b ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 229, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.18 a ) ), b ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67078, [ =( 'greatest_lower_bound'( identity, b ),
% 34.80/35.18 'greatest_lower_bound'( b, 'least_upper_bound'( a, inverse( a ) ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.80/35.18 , X ) ) ] )
% 34.80/35.18 , 0, clause( 67076, [ =( 'greatest_lower_bound'( identity, b ),
% 34.80/35.18 'greatest_lower_bound'( 'least_upper_bound'( a, inverse( a ) ), b ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( a, inverse( a ) ) )
% 34.80/35.18 , :=( Y, b )] ), substitution( 1, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67084, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( a,
% 34.80/35.18 inverse( a ) ) ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.80/35.18 , clause( 67078, [ =( 'greatest_lower_bound'( identity, b ),
% 34.80/35.18 'greatest_lower_bound'( b, 'least_upper_bound'( a, inverse( a ) ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 276, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( a,
% 34.80/35.18 inverse( a ) ) ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.80/35.18 , clause( 67084, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( a,
% 34.80/35.18 inverse( a ) ) ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67086, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 34.80/35.18 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67088, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( b, inverse( b ) ), X ), 'least_upper_bound'( a,
% 34.80/35.18 inverse( a ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 34.80/35.18 , clause( 15, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.18 a ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 67086, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 34.80/35.18 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 34.80/35.18 ] )
% 34.80/35.18 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.18 'least_upper_bound'( a, inverse( a ) ) ), :=( Y, 'least_upper_bound'( b,
% 34.80/35.18 inverse( b ) ) ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 293, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( b, inverse( b ) ), X ), 'least_upper_bound'( a,
% 34.80/35.18 inverse( a ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 34.80/35.18 , clause( 67088, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( b, inverse( b ) ), X ), 'least_upper_bound'( a,
% 34.80/35.18 inverse( a ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67092, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 34.80/35.18 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67108, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), Z ), Y ), 'greatest_lower_bound'( Y, Z ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 34.80/35.18 , X ) ] )
% 34.80/35.18 , 0, clause( 67092, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 34.80/35.18 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 34.80/35.18 ] )
% 34.80/35.18 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, Y ), :=( Y, 'least_upper_bound'( X, Y ) ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 305, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( Y, X ), Z ), X ), 'greatest_lower_bound'( X, Z ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 67108, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), Z ), Y ), 'greatest_lower_bound'( Y, Z ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67113, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 34.80/35.18 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67115, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 34.80/35.18 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 34.80/35.18 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.80/35.18 , X ) ) ] )
% 34.80/35.18 , 0, clause( 67113, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 34.80/35.18 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 34.80/35.18 ] )
% 34.80/35.18 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 309, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y
% 34.80/35.18 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , clause( 67115, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 34.80/35.18 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67131, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ) ) ] )
% 34.80/35.18 , clause( 24, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.80/35.18 'least_upper_bound'( X, Y ) ), X ), 'greatest_lower_bound'( Z, X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67133, [ =( 'greatest_lower_bound'( b, a ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( identity, b ), a ) ) ] )
% 34.80/35.18 , clause( 276, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( a,
% 34.80/35.18 inverse( a ) ) ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.80/35.18 , 0, clause( 67131, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 34.80/35.18 , Z ) ), Y ) ) ] )
% 34.80/35.18 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a ),
% 34.80/35.18 :=( Z, inverse( a ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67135, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 identity, b ), a ), 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.18 , clause( 67133, [ =( 'greatest_lower_bound'( b, a ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( identity, b ), a ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 313, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.80/35.18 , b ), a ), 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.18 , clause( 67135, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 identity, b ), a ), 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67137, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.18 , clause( 35, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67138, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.18 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.18 , clause( 313, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 identity, b ), a ), 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.18 , 0, clause( 67137, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 34.80/35.18 , b ), :=( Z, a )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67140, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.18 b, a ) ), identity ) ] )
% 34.80/35.18 , clause( 67138, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.18 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 319, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'( b
% 34.80/35.18 , a ) ), identity ) ] )
% 34.80/35.18 , clause( 67140, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.18 b, a ) ), identity ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67142, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.18 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.18 , clause( 319, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.18 b, a ) ), identity ) ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67143, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.18 'greatest_lower_bound'( a, b ) ) ) ] )
% 34.80/35.18 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.80/35.18 , X ) ) ] )
% 34.80/35.18 , 0, clause( 67142, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.18 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67146, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.18 a, b ) ), identity ) ] )
% 34.80/35.18 , clause( 67143, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.18 'greatest_lower_bound'( a, b ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 329, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'( a
% 34.80/35.18 , b ) ), identity ) ] )
% 34.80/35.18 , clause( 67146, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.18 a, b ) ), identity ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67148, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 34.80/35.18 , Y ) ) ] )
% 34.80/35.18 , clause( 22, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 34.80/35.18 , X ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67150, [ =( 'greatest_lower_bound'( a, b ), 'greatest_lower_bound'(
% 34.80/35.18 identity, 'greatest_lower_bound'( a, b ) ) ) ] )
% 34.80/35.18 , clause( 329, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.18 a, b ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 67148, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X
% 34.80/35.18 , Y ), Y ) ) ] )
% 34.80/35.18 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 34.80/35.18 , 'greatest_lower_bound'( a, b ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67151, [ =( 'greatest_lower_bound'( a, b ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( identity, a ), b ) ) ] )
% 34.80/35.18 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.80/35.18 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 67150, [ =( 'greatest_lower_bound'( a, b ),
% 34.80/35.18 'greatest_lower_bound'( identity, 'greatest_lower_bound'( a, b ) ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, a ), :=( Z, b )] ),
% 34.80/35.18 substitution( 1, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67152, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 identity, a ), b ), 'greatest_lower_bound'( a, b ) ) ] )
% 34.80/35.18 , clause( 67151, [ =( 'greatest_lower_bound'( a, b ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( identity, a ), b ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 334, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.80/35.18 , a ), b ), 'greatest_lower_bound'( a, b ) ) ] )
% 34.80/35.18 , clause( 67152, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 identity, a ), b ), 'greatest_lower_bound'( a, b ) ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67161, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( identity, b ), X ), a ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( b, a ), X ) ) ] )
% 34.80/35.18 , clause( 313, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 identity, b ), a ), 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.18 , 0, clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, Y
% 34.80/35.18 ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, X ),
% 34.80/35.18 :=( Z, 'greatest_lower_bound'( identity, b ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 336, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( identity, b ), X ), a ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( b, a ), X ) ) ] )
% 34.80/35.18 , clause( 67161, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( identity, b ), X ), a ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( b, a ), X ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67170, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( identity, a ), X ), b ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( a, b ), X ) ) ] )
% 34.80/35.18 , clause( 334, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 identity, a ), b ), 'greatest_lower_bound'( a, b ) ) ] )
% 34.80/35.18 , 0, clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, Y
% 34.80/35.18 ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, X ),
% 34.80/35.18 :=( Z, 'greatest_lower_bound'( identity, a ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 355, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( identity, a ), X ), b ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( a, b ), X ) ) ] )
% 34.80/35.18 , clause( 67170, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( identity, a ), X ), b ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( a, b ), X ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67172, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 34.80/35.18 , clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.80/35.18 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67174, [ =( 'greatest_lower_bound'( b, inverse( a ) ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( identity, b ), inverse( a
% 34.80/35.18 ) ) ) ] )
% 34.80/35.18 , clause( 276, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( a,
% 34.80/35.18 inverse( a ) ) ), 'greatest_lower_bound'( identity, b ) ) ] )
% 34.80/35.18 , 0, clause( 67172, [ =( 'greatest_lower_bound'( X, Z ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 34.80/35.18 , Z ) ), Z ) ) ] )
% 34.80/35.18 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a ),
% 34.80/35.18 :=( Z, inverse( a ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67176, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 identity, b ), inverse( a ) ), 'greatest_lower_bound'( b, inverse( a ) )
% 34.80/35.18 ) ] )
% 34.80/35.18 , clause( 67174, [ =( 'greatest_lower_bound'( b, inverse( a ) ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( identity, b ), inverse( a
% 34.80/35.18 ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 412, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.80/35.18 , b ), inverse( a ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.18 , clause( 67176, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 identity, b ), inverse( a ) ), 'greatest_lower_bound'( b, inverse( a ) )
% 34.80/35.18 ) ] )
% 34.80/35.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67178, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 34.80/35.18 'least_upper_bound'( Y, X ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67181, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.18 b, inverse( b ) ) ), 'greatest_lower_bound'( identity,
% 34.80/35.18 'least_upper_bound'( X, 'least_upper_bound'( b, inverse( b ) ) ) ) ) ] )
% 34.80/35.18 , clause( 169, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.18 b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 67178, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'least_upper_bound'( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 34.80/35.18 , 'least_upper_bound'( b, inverse( b ) ) ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67182, [ =( identity, 'greatest_lower_bound'( identity,
% 34.80/35.18 'least_upper_bound'( X, 'least_upper_bound'( b, inverse( b ) ) ) ) ) ] )
% 34.80/35.18 , clause( 169, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.18 b, inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 67181, [ =( 'greatest_lower_bound'( identity,
% 34.80/35.18 'least_upper_bound'( b, inverse( b ) ) ), 'greatest_lower_bound'(
% 34.80/35.18 identity, 'least_upper_bound'( X, 'least_upper_bound'( b, inverse( b ) )
% 34.80/35.18 ) ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67185, [ =( identity, 'greatest_lower_bound'( identity,
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, b ), inverse( b ) ) ) ) ] )
% 34.80/35.18 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 67182, [ =( identity, 'greatest_lower_bound'( identity,
% 34.80/35.18 'least_upper_bound'( X, 'least_upper_bound'( b, inverse( b ) ) ) ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, b ), :=( Z, inverse( b ) )] )
% 34.80/35.18 , substitution( 1, [ :=( X, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67186, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, b ), inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , clause( 67185, [ =( identity, 'greatest_lower_bound'( identity,
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, b ), inverse( b ) ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 434, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, b ), inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , clause( 67186, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, b ), inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67188, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 34.80/35.18 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 34.80/35.18 'greatest_lower_bound'( Y, Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67191, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , 0, clause( 67188, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 34.80/35.18 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67197, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , clause( 67191, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 459, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 34.80/35.18 , clause( 67197, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67200, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 34.80/35.18 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67201, [ =( 'greatest_lower_bound'( identity, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( Y, identity ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, b ), inverse( b ) ) ) ) ] )
% 34.80/35.18 , clause( 434, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, b ), inverse( b ) ) ), identity ) ] )
% 34.80/35.18 , 0, clause( 67200, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 34.80/35.18 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 34.80/35.18 ] )
% 34.80/35.18 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 34.80/35.18 :=( Y, identity ), :=( Z, 'least_upper_bound'( 'least_upper_bound'( X, b
% 34.80/35.18 ), inverse( b ) ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67203, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 34.80/35.18 identity ), 'least_upper_bound'( 'least_upper_bound'( Y, b ), inverse( b
% 34.80/35.18 ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 34.80/35.18 , clause( 67201, [ =( 'greatest_lower_bound'( identity, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( Y, identity ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, b ), inverse( b ) ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 478, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.80/35.18 identity ), 'least_upper_bound'( 'least_upper_bound'( X, b ), inverse( b
% 34.80/35.18 ) ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 34.80/35.18 , clause( 67203, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 34.80/35.18 identity ), 'least_upper_bound'( 'least_upper_bound'( Y, b ), inverse( b
% 34.80/35.18 ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67206, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 34.80/35.18 , X ), Y ) ) ) ] )
% 34.80/35.18 , clause( 43, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 34.80/35.18 'least_upper_bound'( Y, Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67209, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , clause( 36, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 34.80/35.18 'least_upper_bound'( X, Y ) ) ] )
% 34.80/35.18 , 0, clause( 67206, [ =( 'least_upper_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( Z, X ), Y ) ) ) ] )
% 34.80/35.18 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67215, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 34.80/35.18 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 34.80/35.18 , clause( 67209, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 533, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 34.80/35.18 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 34.80/35.18 , clause( 67215, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 34.80/35.18 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67218, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 47, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67234, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 34.80/35.18 'least_upper_bound'( X, T ) ) ] )
% 34.80/35.18 , clause( 35, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 34.80/35.18 , 0, clause( 67218, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 34.80/35.18 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ) ), :=( Z, T )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 617, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 34.80/35.18 'least_upper_bound'( X, T ) ) ] )
% 34.80/35.18 , clause( 67234, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 34.80/35.18 'least_upper_bound'( X, T ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67239, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 47, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67241, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 34.80/35.18 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.80/35.18 ) ] )
% 34.80/35.18 , 0, clause( 67239, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 34.80/35.18 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 626, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , clause( 67241, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z )
% 34.80/35.18 , 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67256, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 34.80/35.18 ), Z ), X ), Y ) ) ] )
% 34.80/35.18 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ), X ), Y ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67259, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( Y, X ), 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.18 , clause( 309, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X )
% 34.80/35.18 , Y ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 67256, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ), X ), Y ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) )] ),
% 34.80/35.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67272, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 34.80/35.18 , 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , clause( 67259, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 674, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , clause( 67272, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 34.80/35.18 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67273, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 248, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67276, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 34.80/35.18 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 34.80/35.18 , clause( 146, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 34.80/35.18 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 34.80/35.18 , 0, clause( 67273, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 34.80/35.18 ) ) ) ) ] )
% 34.80/35.18 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.80/35.18 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67279, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 34.80/35.18 'greatest_lower_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , clause( 248, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 67276, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 34.80/35.18 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 34.80/35.18 ] )
% 34.80/35.18 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 34.80/35.18 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 690, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 67279, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 34.80/35.18 'greatest_lower_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67280, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 34.80/35.18 , clause( 227, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67281, [ =( X, multiply( multiply( X, 'greatest_lower_bound'( Y, Z
% 34.80/35.18 ) ), inverse( 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 34.80/35.18 , clause( 690, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , 0, clause( 67280, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67284, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y, Z ) )
% 34.80/35.18 , inverse( 'greatest_lower_bound'( Z, Y ) ) ), X ) ] )
% 34.80/35.18 , clause( 67281, [ =( X, multiply( multiply( X, 'greatest_lower_bound'( Y,
% 34.80/35.18 Z ) ), inverse( 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 702, [ =( multiply( multiply( Z, 'greatest_lower_bound'( X, Y ) ),
% 34.80/35.18 inverse( 'greatest_lower_bound'( Y, X ) ) ), Z ) ] )
% 34.80/35.18 , clause( 67284, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y, Z )
% 34.80/35.18 ), inverse( 'greatest_lower_bound'( Z, Y ) ) ), X ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67285, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 248, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67288, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 34.80/35.18 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 34.80/35.18 , clause( 107, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 34.80/35.18 'least_upper_bound'( Z, X ), Y ) ) ] )
% 34.80/35.18 , 0, clause( 67285, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 34.80/35.18 ) ) ) ) ] )
% 34.80/35.18 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 34.80/35.18 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67291, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 34.80/35.18 'least_upper_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , clause( 248, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 67288, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 34.80/35.18 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 34.80/35.18 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 34.80/35.18 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 758, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 34.80/35.18 'least_upper_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 67291, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 34.80/35.18 'least_upper_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67292, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67293, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 34.80/35.18 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 758, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 34.80/35.18 'least_upper_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , 0, clause( 67292, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 34.80/35.18 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67296, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 34.80/35.18 'least_upper_bound'( Y, X ) ), identity ) ] )
% 34.80/35.18 , clause( 67293, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 34.80/35.18 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 773, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 34.80/35.18 'least_upper_bound'( X, Y ) ), identity ) ] )
% 34.80/35.18 , clause( 67296, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 34.80/35.18 'least_upper_bound'( Y, X ) ), identity ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67297, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 34.80/35.18 , clause( 114, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67298, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 'greatest_lower_bound'( Y, X ), 'least_upper_bound'( 'least_upper_bound'(
% 34.80/35.18 Z, 'greatest_lower_bound'( X, Y ) ), T ) ) ) ] )
% 34.80/35.18 , clause( 88, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.18 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 67297, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.80/35.18 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y
% 34.80/35.18 ) ), T ) )] ), substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y )
% 34.80/35.18 ), :=( Y, Z ), :=( Z, T )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67301, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 34.80/35.18 , 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X
% 34.80/35.18 , Y ) ), T ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , clause( 67298, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.18 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y
% 34.80/35.18 ) ), T ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 804, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y
% 34.80/35.18 ) ), T ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , clause( 67301, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 34.80/35.18 ), 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'(
% 34.80/35.18 X, Y ) ), T ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67304, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 34.80/35.18 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 34.80/35.18 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X ) ) ] )
% 34.80/35.18 , clause( 533, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 34.80/35.18 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 34.80/35.18 , 0, clause( 309, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X
% 34.80/35.18 ), Y ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 34.80/35.18 :=( X, 'least_upper_bound'( Y, Z ) ), :=( Y, 'least_upper_bound'( Z, Y )
% 34.80/35.18 ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 836, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.80/35.18 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ),
% 34.80/35.18 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 67304, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 34.80/35.18 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 34.80/35.18 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67306, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.80/35.18 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.80/35.18 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67309, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 34.80/35.18 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 34.80/35.18 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 533, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 34.80/35.18 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 34.80/35.18 , 0, clause( 67306, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.80/35.18 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 34.80/35.18 ] )
% 34.80/35.18 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z,
% 34.80/35.18 'least_upper_bound'( Z, Y ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67310, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X
% 34.80/35.18 ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 836, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.80/35.18 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ),
% 34.80/35.18 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 67309, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 34.80/35.18 , 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 34.80/35.18 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 34.80/35.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67311, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X )
% 34.80/35.18 ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 67310, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ),
% 34.80/35.18 X ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 838, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) )
% 34.80/35.18 , 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , clause( 67311, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X
% 34.80/35.18 ) ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67312, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X
% 34.80/35.18 ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 838, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y )
% 34.80/35.18 ), 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67313, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X )
% 34.80/35.18 ), 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 67312, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ),
% 34.80/35.18 X ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.18 Y, X ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 34.80/35.18 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 879, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X ) )
% 34.80/35.18 , 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 67313, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X
% 34.80/35.18 ) ), 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67316, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 34.80/35.18 'greatest_lower_bound'( Y, Z ) ), 'greatest_lower_bound'( Z, Y ) ),
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X ) ) ] )
% 34.80/35.18 , clause( 459, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 34.80/35.18 , 0, clause( 626, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y
% 34.80/35.18 ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 34.80/35.18 :=( X, 'greatest_lower_bound'( Y, Z ) ), :=( Y, 'greatest_lower_bound'( Z
% 34.80/35.18 , Y ) ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 888, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 34.80/35.18 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ),
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 67316, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 34.80/35.18 'greatest_lower_bound'( Y, Z ) ), 'greatest_lower_bound'( Z, Y ) ),
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67318, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 34.80/35.18 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 34.80/35.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67321, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 34.80/35.18 'greatest_lower_bound'( Y, Z ) ), 'greatest_lower_bound'( Z, Y ) ),
% 34.80/35.18 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 459, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.18 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 34.80/35.18 , 0, clause( 67318, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 34.80/35.18 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) ), :=( Z,
% 34.80/35.18 'greatest_lower_bound'( Z, Y ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67322, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X
% 34.80/35.18 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 888, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 34.80/35.18 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ),
% 34.80/35.18 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 67321, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 34.80/35.18 'greatest_lower_bound'( Y, Z ) ), 'greatest_lower_bound'( Z, Y ) ),
% 34.80/35.18 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 34.80/35.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67323, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 34.80/35.18 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , clause( 67322, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ),
% 34.80/35.18 X ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 890, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) )
% 34.80/35.18 , 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , clause( 67323, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X
% 34.80/35.18 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67325, [ =( identity, multiply( inverse( 'least_upper_bound'( X, Y
% 34.80/35.18 ) ), 'least_upper_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , clause( 773, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 34.80/35.18 'least_upper_bound'( X, Y ) ), identity ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67330, [ =( identity, multiply( inverse( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( Z, Y ), X ) ), 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( Y, Z ), X ) ) ) ] )
% 34.80/35.18 , clause( 890, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y )
% 34.80/35.18 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 67325, [ =( identity, multiply( inverse( 'least_upper_bound'(
% 34.80/35.18 X, Y ) ), 'least_upper_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 34.80/35.18 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67331, [ =( multiply( inverse( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ) ), 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( Y, X ), Z ) ), identity ) ] )
% 34.80/35.18 , clause( 67330, [ =( identity, multiply( inverse( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( Z, Y ), X ) ), 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( Y, Z ), X ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 933, [ =( multiply( inverse( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( Z, Y ), X ) ), 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( Y, Z ), X ) ), identity ) ] )
% 34.80/35.18 , clause( 67331, [ =( multiply( inverse( 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( X, Y ), Z ) ), 'least_upper_bound'(
% 34.80/35.18 'greatest_lower_bound'( Y, X ), Z ) ), identity ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67332, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X
% 34.80/35.18 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , clause( 890, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y )
% 34.80/35.18 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67333, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 34.80/35.18 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 67332, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ),
% 34.80/35.18 X ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.18 , 0, clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 34.80/35.18 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 946, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) )
% 34.80/35.18 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 67333, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X
% 34.80/35.18 ) ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67334, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 34.80/35.18 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 225, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.18 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67335, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.18 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 34.80/35.18 , clause( 67334, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 34.80/35.18 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , 0, clause( 71, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.80/35.18 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 964, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.18 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 34.80/35.18 , clause( 67335, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 34.80/35.18 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67338, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 34.80/35.18 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 225, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.18 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67357, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 34.80/35.18 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( multiply(
% 34.80/35.18 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 34.80/35.18 , clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 34.80/35.18 ), identity ) ] )
% 34.80/35.18 , 0, clause( 67338, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 34.80/35.18 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67359, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 34.80/35.18 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( inverse(
% 34.80/35.18 Y ), identity ) ) ] )
% 34.80/35.18 , clause( 242, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 67357, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 34.80/35.18 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 34.80/35.18 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 34.80/35.18 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67360, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 34.80/35.18 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 34.80/35.18 , clause( 242, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , 0, clause( 67359, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 34.80/35.18 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 34.80/35.18 inverse( Y ), identity ) ) ] )
% 34.80/35.18 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1014, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 34.80/35.18 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 34.80/35.18 , clause( 67360, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 34.80/35.18 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67366, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 34.80/35.18 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , 0, clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply(
% 34.80/35.18 Y, identity ) ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 34.80/35.18 :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1038, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 34.80/35.18 , clause( 67366, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67369, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 34.80/35.18 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67370, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 34.80/35.18 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 1038, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 34.80/35.18 , 0, clause( 67369, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 34.80/35.18 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1039, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 34.80/35.18 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 34.80/35.18 , clause( 67370, [ =( multiply( 'greatest_lower_bound'( multiply( X,
% 34.80/35.18 inverse( Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) )
% 34.80/35.18 ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67374, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 34.80/35.18 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 34.80/35.18 ) ) ) ] )
% 34.80/35.18 , clause( 60, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 34.80/35.18 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 34.80/35.18 ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67377, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), Z )
% 34.80/35.18 ), multiply( 'least_upper_bound'( multiply( X, Y ), X ), Z ) ) ] )
% 34.80/35.18 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 34.80/35.18 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.18 , 0, clause( 67374, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 34.80/35.18 , T ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 34.80/35.18 X, T ) ) ) ] )
% 34.80/35.18 , 0, 8, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, X ), :=( Z, Z
% 34.80/35.18 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1223, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), Z )
% 34.80/35.18 ), multiply( 'least_upper_bound'( multiply( X, Y ), X ), Z ) ) ] )
% 34.80/35.18 , clause( 67377, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), Z
% 34.80/35.18 ) ), multiply( 'least_upper_bound'( multiply( X, Y ), X ), Z ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67381, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 34.80/35.18 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 34.80/35.18 ) ) ) ] )
% 34.80/35.18 , clause( 60, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 34.80/35.18 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 34.80/35.18 ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67385, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 34.80/35.18 X, Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ), multiply(
% 34.80/35.18 inverse( X ), Z ) ) ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, clause( 67381, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 34.80/35.18 , T ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 34.80/35.18 X, T ) ) ) ] )
% 34.80/35.18 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 34.80/35.18 inverse( X ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67387, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 34.80/35.18 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.18 , 0, clause( 67385, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 34.80/35.18 multiply( X, Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ),
% 34.80/35.18 multiply( inverse( X ), Z ) ) ) ] )
% 34.80/35.18 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1224, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply( X
% 34.80/35.18 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 67387, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 34.80/35.18 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67390, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 34.80/35.18 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 34.80/35.18 ) ) ) ] )
% 34.80/35.18 , clause( 61, [ =( 'least_upper_bound'( multiply( X, T ), multiply(
% 34.80/35.18 multiply( X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y
% 34.80/35.18 , Z ) ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67395, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 34.80/35.18 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 34.80/35.18 multiply( identity, Z ) ) ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, clause( 67390, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z,
% 34.80/35.18 T ) ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z
% 34.80/35.18 ), T ) ) ) ] )
% 34.80/35.18 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 34.80/35.18 inverse( X ) ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67396, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 34.80/35.18 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.18 , 0, clause( 67395, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 34.80/35.18 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 34.80/35.18 multiply( identity, Z ) ) ) ] )
% 34.80/35.18 , 0, 14, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1256, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 34.80/35.18 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 34.80/35.18 , clause( 67396, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 34.80/35.18 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 34.80/35.18 ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67399, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 34.80/35.18 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , clause( 964, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.18 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67403, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 34.80/35.18 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, clause( 67399, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 34.80/35.18 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.18 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 34.80/35.18 inverse( X ) ), :=( Y, X )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1309, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 34.80/35.18 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 34.80/35.18 , clause( 67403, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 34.80/35.18 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67407, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 34.80/35.18 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 34.80/35.18 , clause( 63, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 34.80/35.18 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67408, [ =( multiply( inverse( X ), 'least_upper_bound'( X,
% 34.80/35.18 identity ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 34.80/35.18 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.18 , 0, clause( 67407, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 34.80/35.18 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 34.80/35.18 , 0, 9, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, identity )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1383, [ =( multiply( inverse( X ), 'least_upper_bound'( X, identity
% 34.80/35.18 ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 34.80/35.18 , clause( 67408, [ =( multiply( inverse( X ), 'least_upper_bound'( X,
% 34.80/35.18 identity ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67411, [ =( multiply( X, 'greatest_lower_bound'( multiply( Y, Z ),
% 34.80/35.18 T ) ), 'greatest_lower_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 34.80/35.18 X, T ) ) ) ] )
% 34.80/35.18 , clause( 72, [ =( 'greatest_lower_bound'( multiply( multiply( X, Y ), Z )
% 34.80/35.18 , multiply( X, T ) ), multiply( X, 'greatest_lower_bound'( multiply( Y, Z
% 34.80/35.18 ), T ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 34.80/35.18 ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67415, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 34.80/35.18 multiply( X, Y ), Z ) ), 'greatest_lower_bound'( multiply( identity, Y )
% 34.80/35.18 , multiply( inverse( X ), Z ) ) ) ] )
% 34.80/35.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.18 , 0, clause( 67411, [ =( multiply( X, 'greatest_lower_bound'( multiply( Y,
% 34.80/35.18 Z ), T ) ), 'greatest_lower_bound'( multiply( multiply( X, Y ), Z ),
% 34.80/35.18 multiply( X, T ) ) ) ] )
% 34.80/35.18 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 34.80/35.18 inverse( X ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67417, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 34.80/35.18 multiply( X, Y ), Z ) ), 'greatest_lower_bound'( Y, multiply( inverse( X
% 34.80/35.18 ), Z ) ) ) ] )
% 34.80/35.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.18 , 0, clause( 67415, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 34.80/35.18 multiply( X, Y ), Z ) ), 'greatest_lower_bound'( multiply( identity, Y )
% 34.80/35.18 , multiply( inverse( X ), Z ) ) ) ] )
% 34.80/35.18 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.18 :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1677, [ =( multiply( inverse( X ), 'greatest_lower_bound'( multiply(
% 34.80/35.18 X, Y ), Z ) ), 'greatest_lower_bound'( Y, multiply( inverse( X ), Z ) ) )
% 34.80/35.18 ] )
% 34.80/35.18 , clause( 67417, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 34.80/35.18 multiply( X, Y ), Z ) ), 'greatest_lower_bound'( Y, multiply( inverse( X
% 34.80/35.18 ), Z ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.80/35.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67419, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 34.80/35.18 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 74, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 34.80/35.18 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67420, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 34.80/35.18 ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 67419, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y
% 34.80/35.18 ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , 0, clause( 71, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 34.80/35.18 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 34.80/35.18 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.18 :=( X, inverse( X ) ), :=( Y, X ), :=( Z, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1757, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 34.80/35.18 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 34.80/35.18 , clause( 67420, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 34.80/35.18 X ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67423, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 34.80/35.18 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 74, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 34.80/35.18 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67426, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 34.80/35.18 inverse( Y ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( Y
% 34.80/35.18 , X ) ) ) ) ] )
% 34.80/35.18 , clause( 249, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 34.80/35.18 multiply( X, Y ) ) ) ] )
% 34.80/35.18 , 0, clause( 67423, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X
% 34.80/35.18 , Y ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) )
% 34.80/35.18 ) ] )
% 34.80/35.18 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.18 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 subsumption(
% 34.80/35.18 clause( 1764, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 34.80/35.18 inverse( Y ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( Y
% 34.80/35.18 , X ) ) ) ) ] )
% 34.80/35.18 , clause( 67426, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 34.80/35.18 inverse( Y ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( Y
% 34.80/35.18 , X ) ) ) ) ] )
% 34.80/35.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.18 )] ) ).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 eqswap(
% 34.80/35.18 clause( 67428, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 34.80/35.18 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 74, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 34.80/35.18 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.18
% 34.80/35.18
% 34.80/35.18 paramod(
% 34.80/35.18 clause( 67430, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 34.80/35.18 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 34.80/35.18 )
% 34.80/35.18 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 34.80/35.18 , X ) ) ] )
% 34.80/35.18 , 0, clause( 67428, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X
% 34.80/35.18 , Y ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) )
% 34.80/35.18 ) ] )
% 34.80/35.18 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, multiply( inverse( X )
% 34.80/35.18 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 1770, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) )
% 34.80/35.19 , 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 34.80/35.19 , clause( 67430, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y
% 34.80/35.19 ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.19 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67437, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.80/35.19 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.19 , clause( 186, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 34.80/35.19 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67438, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 34.80/35.19 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 34.80/35.19 , clause( 67437, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.80/35.19 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.19 , 0, clause( 62, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 34.80/35.19 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 34.80/35.19 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.19 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 2453, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 34.80/35.19 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 34.80/35.19 , clause( 67438, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.19 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.19 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67440, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.80/35.19 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.19 , clause( 186, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 34.80/35.19 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67442, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.80/35.19 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.80/35.19 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.80/35.19 ) ] )
% 34.80/35.19 , 0, clause( 67440, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 34.80/35.19 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.19 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 34.80/35.19 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 2501, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.80/35.19 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.80/35.19 , clause( 67442, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.80/35.19 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.19 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67450, [ =( 'greatest_lower_bound'( Z, X ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 34.80/35.19 , clause( 96, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67452, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b, inverse(
% 34.80/35.19 b ) ), a ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , clause( 15, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a, inverse(
% 34.80/35.19 a ) ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.19 , 0, clause( 67450, [ =( 'greatest_lower_bound'( Z, X ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 34.80/35.19 ), Z ), X ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y,
% 34.80/35.19 inverse( a ) ), :=( Z, 'least_upper_bound'( b, inverse( b ) ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 2607, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b, inverse(
% 34.80/35.19 b ) ), a ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , clause( 67452, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ), a ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67456, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X
% 34.80/35.19 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.19 , clause( 890, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y )
% 34.80/35.19 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67458, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 34.80/35.19 'least_upper_bound'( b, inverse( b ) ) ), X ), 'least_upper_bound'( X,
% 34.80/35.19 'greatest_lower_bound'( identity, a ) ) ) ] )
% 34.80/35.19 , clause( 2607, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ), a ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , 0, clause( 67456, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y
% 34.80/35.19 ), X ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.19 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 34.80/35.19 'least_upper_bound'( b, inverse( b ) ) ), :=( Z, a )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 2616, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 34.80/35.19 'least_upper_bound'( b, inverse( b ) ) ), X ), 'least_upper_bound'( X,
% 34.80/35.19 'greatest_lower_bound'( identity, a ) ) ) ] )
% 34.80/35.19 , clause( 67458, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 34.80/35.19 'least_upper_bound'( b, inverse( b ) ) ), X ), 'least_upper_bound'( X,
% 34.80/35.19 'greatest_lower_bound'( identity, a ) ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67462, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 34.80/35.19 , clause( 459, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.19 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67467, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ) ), 'least_upper_bound'( 'greatest_lower_bound'( a,
% 34.80/35.19 'least_upper_bound'( b, inverse( b ) ) ), 'greatest_lower_bound'(
% 34.80/35.19 identity, a ) ) ) ] )
% 34.80/35.19 , clause( 2607, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ), a ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , 0, clause( 67462, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.19 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.19 'greatest_lower_bound'( Y, X ) ) ) ] )
% 34.80/35.19 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y,
% 34.80/35.19 'least_upper_bound'( b, inverse( b ) ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67469, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ) ), 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 34.80/35.19 a ), 'greatest_lower_bound'( identity, a ) ) ) ] )
% 34.80/35.19 , clause( 2616, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 34.80/35.19 'least_upper_bound'( b, inverse( b ) ) ), X ), 'least_upper_bound'( X,
% 34.80/35.19 'greatest_lower_bound'( identity, a ) ) ) ] )
% 34.80/35.19 , 0, clause( 67467, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'( b
% 34.80/35.19 , inverse( b ) ) ), 'least_upper_bound'( 'greatest_lower_bound'( a,
% 34.80/35.19 'least_upper_bound'( b, inverse( b ) ) ), 'greatest_lower_bound'(
% 34.80/35.19 identity, a ) ) ) ] )
% 34.80/35.19 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, a ) )] )
% 34.80/35.19 , substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67470, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ) ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , clause( 7, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 34.80/35.19 , 0, clause( 67469, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'( b
% 34.80/35.19 , inverse( b ) ) ), 'least_upper_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , a ), 'greatest_lower_bound'( identity, a ) ) ) ] )
% 34.80/35.19 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, a ) )] )
% 34.80/35.19 , substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 2617, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ) ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , clause( 67470, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ) ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67473, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 34.80/35.19 , clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.80/35.19 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67475, [ =( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( identity, a ), inverse( b
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , clause( 2617, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ) ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , 0, clause( 67473, [ =( 'greatest_lower_bound'( X, Z ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 34.80/35.19 , Z ) ), Z ) ) ] )
% 34.80/35.19 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ),
% 34.80/35.19 :=( Z, inverse( b ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67477, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, a ), inverse( b ) ), 'greatest_lower_bound'( a, inverse( b ) )
% 34.80/35.19 ) ] )
% 34.80/35.19 , clause( 67475, [ =( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( identity, a ), inverse( b
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 2625, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , a ), inverse( b ) ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.19 , clause( 67477, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, a ), inverse( b ) ), 'greatest_lower_bound'( a, inverse( b ) )
% 34.80/35.19 ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67478, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 34.80/35.19 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , clause( 149, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67499, [ =( multiply( 'greatest_lower_bound'( identity, X ), X ),
% 34.80/35.19 multiply( X, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 34.80/35.19 , clause( 964, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.19 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 34.80/35.19 , 0, clause( 67478, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 34.80/35.19 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.19 :=( X, X ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67501, [ =( multiply( X, 'greatest_lower_bound'( X, identity ) ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.80/35.19 , clause( 67499, [ =( multiply( 'greatest_lower_bound'( identity, X ), X )
% 34.80/35.19 , multiply( X, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 2780, [ =( multiply( X, 'greatest_lower_bound'( X, identity ) ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.80/35.19 , clause( 67501, [ =( multiply( X, 'greatest_lower_bound'( X, identity ) )
% 34.80/35.19 , multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67503, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 34.80/35.19 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , clause( 149, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67516, [ =( multiply( multiply( identity, 'greatest_lower_bound'( X
% 34.80/35.19 , identity ) ), Y ), 'greatest_lower_bound'( Y, multiply( multiply(
% 34.80/35.19 identity, X ), Y ) ) ) ] )
% 34.80/35.19 , clause( 964, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.19 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 34.80/35.19 , 0, clause( 67503, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 34.80/35.19 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 34.80/35.19 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67519, [ =( multiply( multiply( identity, 'greatest_lower_bound'( X
% 34.80/35.19 , identity ) ), Y ), 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 34.80/35.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.19 , 0, clause( 67516, [ =( multiply( multiply( identity,
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ), Y ), 'greatest_lower_bound'( Y,
% 34.80/35.19 multiply( multiply( identity, X ), Y ) ) ) ] )
% 34.80/35.19 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.19 :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67521, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 34.80/35.19 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 34.80/35.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.19 , 0, clause( 67519, [ =( multiply( multiply( identity,
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ), Y ), 'greatest_lower_bound'( Y,
% 34.80/35.19 multiply( X, Y ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) )] )
% 34.80/35.19 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67522, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 34.80/35.19 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 34.80/35.19 , clause( 67521, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 34.80/35.19 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 2781, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 34.80/35.19 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 34.80/35.19 , clause( 67522, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.19 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67523, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 34.80/35.19 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , clause( 149, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67544, [ =( multiply( 'greatest_lower_bound'( identity, X ), X ),
% 34.80/35.19 multiply( X, 'greatest_lower_bound'( identity, X ) ) ) ] )
% 34.80/35.19 , clause( 225, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.19 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 34.80/35.19 , 0, clause( 67523, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 34.80/35.19 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.19 :=( X, X ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67546, [ =( multiply( X, 'greatest_lower_bound'( identity, X ) ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.80/35.19 , clause( 67544, [ =( multiply( 'greatest_lower_bound'( identity, X ), X )
% 34.80/35.19 , multiply( X, 'greatest_lower_bound'( identity, X ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 2788, [ =( multiply( X, 'greatest_lower_bound'( identity, X ) ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.80/35.19 , clause( 67546, [ =( multiply( X, 'greatest_lower_bound'( identity, X ) )
% 34.80/35.19 , multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67548, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 34.80/35.19 , clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.19 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67550, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ),
% 34.80/35.19 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( identity, Y ),
% 34.80/35.19 X ), X ) ) ] )
% 34.80/35.19 , clause( 149, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 34.80/35.19 , 0, clause( 67548, [ =( 'greatest_lower_bound'( X, Y ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 34.80/35.19 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.19 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67551, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 34.80/35.19 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( identity, Y ),
% 34.80/35.19 X ), X ) ) ] )
% 34.80/35.19 , clause( 149, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 34.80/35.19 , 0, clause( 67550, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ),
% 34.80/35.19 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( identity, Y ),
% 34.80/35.19 X ), X ) ) ] )
% 34.80/35.19 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.19 :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67553, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), Y ), Y ), multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 34.80/35.19 , clause( 67551, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X )
% 34.80/35.19 , 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( identity, Y )
% 34.80/35.19 , X ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 2849, [ =( 'greatest_lower_bound'( multiply( 'greatest_lower_bound'(
% 34.80/35.19 identity, Y ), X ), X ), multiply( 'greatest_lower_bound'( identity, Y )
% 34.80/35.19 , X ) ) ] )
% 34.80/35.19 , clause( 67553, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), Y ), Y ), multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.19 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67556, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X ),
% 34.80/35.19 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , clause( 2781, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67560, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 34.80/35.19 , clause( 223, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 34.80/35.19 , 0, clause( 67556, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X
% 34.80/35.19 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 34.80/35.19 inverse( X ) ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3242, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 34.80/35.19 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 34.80/35.19 , clause( 67560, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67563, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 34.80/35.19 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , clause( 110, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 34.80/35.19 'least_upper_bound'( identity, Y ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67565, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 34.80/35.19 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.19 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 34.80/35.19 ) ] )
% 34.80/35.19 , 0, clause( 67563, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 34.80/35.19 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 34.80/35.19 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3414, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 34.80/35.19 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 34.80/35.19 , clause( 67565, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 34.80/35.19 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.19 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67573, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( X, identity ), inverse( X ) ) ) ] )
% 34.80/35.19 , clause( 3242, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67580, [ =( 'greatest_lower_bound'( inverse( multiply( X, inverse(
% 34.80/35.19 Y ) ) ), identity ), multiply( 'greatest_lower_bound'( multiply( X,
% 34.80/35.19 inverse( Y ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 34.80/35.19 , clause( 258, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 34.80/35.19 inverse( X ) ) ) ] )
% 34.80/35.19 , 0, clause( 67573, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( X, identity ), inverse( X ) ) ) ] )
% 34.80/35.19 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.19 :=( X, multiply( X, inverse( Y ) ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67581, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 34.80/35.19 identity ), multiply( 'greatest_lower_bound'( multiply( X, inverse( Y ) )
% 34.80/35.19 , identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 34.80/35.19 , clause( 258, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 34.80/35.19 inverse( X ) ) ) ] )
% 34.80/35.19 , 0, clause( 67580, [ =( 'greatest_lower_bound'( inverse( multiply( X,
% 34.80/35.19 inverse( Y ) ) ), identity ), multiply( 'greatest_lower_bound'( multiply(
% 34.80/35.19 X, inverse( Y ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 34.80/35.19 :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67586, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 34.80/35.19 identity ), multiply( multiply( 'greatest_lower_bound'( multiply( Y,
% 34.80/35.19 inverse( X ) ), identity ), X ), inverse( Y ) ) ) ] )
% 34.80/35.19 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.80/35.19 ), Z ) ) ] )
% 34.80/35.19 , 0, clause( 67581, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X )
% 34.80/35.19 ), identity ), multiply( 'greatest_lower_bound'( multiply( X, inverse( Y
% 34.80/35.19 ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 34.80/35.19 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( multiply( Y,
% 34.80/35.19 inverse( X ) ), identity ) ), :=( Y, X ), :=( Z, inverse( Y ) )] ),
% 34.80/35.19 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67587, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 34.80/35.19 identity ), multiply( 'greatest_lower_bound'( Y, multiply( identity, X )
% 34.80/35.19 ), inverse( Y ) ) ) ] )
% 34.80/35.19 , clause( 1039, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 34.80/35.19 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 34.80/35.19 , 0, clause( 67586, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y )
% 34.80/35.19 ), identity ), multiply( multiply( 'greatest_lower_bound'( multiply( Y,
% 34.80/35.19 inverse( X ) ), identity ), X ), inverse( Y ) ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 34.80/35.19 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67588, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 34.80/35.19 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( Y ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.19 , 0, clause( 67587, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y )
% 34.80/35.19 ), identity ), multiply( 'greatest_lower_bound'( Y, multiply( identity,
% 34.80/35.19 X ) ), inverse( Y ) ) ) ] )
% 34.80/35.19 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.19 :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67589, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y )
% 34.80/35.19 ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 67588, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 34.80/35.19 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( Y ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3616, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) )
% 34.80/35.19 , 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ] )
% 34.80/35.19 , clause( 67589, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y
% 34.80/35.19 ) ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.19 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67591, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 34.80/35.19 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.19 , clause( 150, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 34.80/35.19 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67603, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ), 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), X ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ) ] )
% 34.80/35.19 , clause( 2780, [ =( multiply( X, 'greatest_lower_bound'( X, identity ) ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.80/35.19 , 0, clause( 67591, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 34.80/35.19 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.19 :=( Y, 'greatest_lower_bound'( X, identity ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67604, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( identity, X ),
% 34.80/35.19 X ), X ), identity ) ) ] )
% 34.80/35.19 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.80/35.19 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.19 , 0, clause( 67603, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ), 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), X ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'(
% 34.80/35.19 identity, X ), X ) ), :=( Y, X ), :=( Z, identity )] ), substitution( 1
% 34.80/35.19 , [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67605, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ), 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), X ), identity ) ) ] )
% 34.80/35.19 , clause( 2849, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, Y ), X ), X ), multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 34.80/35.19 , 0, clause( 67604, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( identity, X ),
% 34.80/35.19 X ), X ), identity ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.19 :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67606, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), X ), identity ), multiply(
% 34.80/35.19 'greatest_lower_bound'( X, identity ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ) ] )
% 34.80/35.19 , clause( 67605, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ), 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), X ), identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3619, [ =( 'greatest_lower_bound'( multiply( 'greatest_lower_bound'(
% 34.80/35.19 identity, X ), X ), identity ), multiply( 'greatest_lower_bound'( X,
% 34.80/35.19 identity ), 'greatest_lower_bound'( X, identity ) ) ) ] )
% 34.80/35.19 , clause( 67606, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), X ), identity ), multiply(
% 34.80/35.19 'greatest_lower_bound'( X, identity ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67608, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 34.80/35.19 , clause( 227, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67609, [ =( X, multiply( multiply( 'greatest_lower_bound'( identity
% 34.80/35.19 , X ), X ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 34.80/35.19 , clause( 2788, [ =( multiply( X, 'greatest_lower_bound'( identity, X ) ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.80/35.19 , 0, clause( 67608, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.19 :=( Y, 'greatest_lower_bound'( identity, X ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67610, [ =( multiply( multiply( 'greatest_lower_bound'( identity, X
% 34.80/35.19 ), X ), inverse( 'greatest_lower_bound'( identity, X ) ) ), X ) ] )
% 34.80/35.19 , clause( 67609, [ =( X, multiply( multiply( 'greatest_lower_bound'(
% 34.80/35.19 identity, X ), X ), inverse( 'greatest_lower_bound'( identity, X ) ) ) )
% 34.80/35.19 ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3635, [ =( multiply( multiply( 'greatest_lower_bound'( identity, X
% 34.80/35.19 ), X ), inverse( 'greatest_lower_bound'( identity, X ) ) ), X ) ] )
% 34.80/35.19 , clause( 67610, [ =( multiply( multiply( 'greatest_lower_bound'( identity
% 34.80/35.19 , X ), X ), inverse( 'greatest_lower_bound'( identity, X ) ) ), X ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67612, [ =( multiply( inverse( Y ), X ), inverse( multiply( inverse(
% 34.80/35.19 X ), Y ) ) ) ] )
% 34.80/35.19 , clause( 250, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 34.80/35.19 inverse( Y ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67620, [ =( multiply( inverse( 'least_upper_bound'( X, identity ) )
% 34.80/35.19 , X ), inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 34.80/35.19 , clause( 1383, [ =( multiply( inverse( X ), 'least_upper_bound'( X,
% 34.80/35.19 identity ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 34.80/35.19 , 0, clause( 67612, [ =( multiply( inverse( Y ), X ), inverse( multiply(
% 34.80/35.19 inverse( X ), Y ) ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.19 :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3650, [ =( multiply( inverse( 'least_upper_bound'( X, identity ) )
% 34.80/35.19 , X ), inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 34.80/35.19 , clause( 67620, [ =( multiply( inverse( 'least_upper_bound'( X, identity )
% 34.80/35.19 ), X ), inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67624, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 248, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67626, [ =( inverse( inverse( X ) ), multiply(
% 34.80/35.19 'greatest_lower_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 34.80/35.19 inverse( X ), identity ) ) ) ) ] )
% 34.80/35.19 , clause( 1309, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 34.80/35.19 , 0, clause( 67624, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 34.80/35.19 ) ) ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ), :=( Y, inverse( X ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67627, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 34.80/35.19 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.19 , 0, clause( 67626, [ =( inverse( inverse( X ) ), multiply(
% 34.80/35.19 'greatest_lower_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 34.80/35.19 inverse( X ), identity ) ) ) ) ] )
% 34.80/35.19 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67628, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 34.80/35.19 , clause( 67627, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3678, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 34.80/35.19 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 34.80/35.19 , clause( 67628, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67630, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 34.80/35.19 , clause( 227, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67631, [ =( inverse( X ), multiply( 'greatest_lower_bound'( inverse(
% 34.80/35.19 X ), identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 1014, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 34.80/35.19 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 34.80/35.19 , 0, clause( 67630, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.19 :=( X, inverse( X ) ), :=( Y, 'greatest_lower_bound'( identity, X ) )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67632, [ =( multiply( 'greatest_lower_bound'( inverse( X ),
% 34.80/35.19 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 34.80/35.19 X ) ) ] )
% 34.80/35.19 , clause( 67631, [ =( inverse( X ), multiply( 'greatest_lower_bound'(
% 34.80/35.19 inverse( X ), identity ), inverse( 'greatest_lower_bound'( identity, X )
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3685, [ =( multiply( 'greatest_lower_bound'( inverse( X ), identity
% 34.80/35.19 ), inverse( 'greatest_lower_bound'( identity, X ) ) ), inverse( X ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 67632, [ =( multiply( 'greatest_lower_bound'( inverse( X ),
% 34.80/35.19 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 34.80/35.19 X ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67634, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.19 , clause( 35, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67635, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( a, inverse( b ) ) ) ) ] )
% 34.80/35.19 , clause( 2625, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, a ), inverse( b ) ), 'greatest_lower_bound'( a, inverse( b ) )
% 34.80/35.19 ) ] )
% 34.80/35.19 , 0, clause( 67634, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.19 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 34.80/35.19 , a ), :=( Z, inverse( b ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67637, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 a, inverse( b ) ) ), identity ) ] )
% 34.80/35.19 , clause( 67635, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( a, inverse( b ) ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3778, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'( a
% 34.80/35.19 , inverse( b ) ) ), identity ) ] )
% 34.80/35.19 , clause( 67637, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 a, inverse( b ) ) ), identity ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67640, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 34.80/35.19 'least_upper_bound'( identity, X ), Y ) ) ] )
% 34.80/35.19 , clause( 3414, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 34.80/35.19 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67642, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 34.80/35.19 a, inverse( b ) ), X ), X ), multiply( identity, X ) ) ] )
% 34.80/35.19 , clause( 3778, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 a, inverse( b ) ) ), identity ) ] )
% 34.80/35.19 , 0, clause( 67640, [ =( 'least_upper_bound'( multiply( X, Y ), Y ),
% 34.80/35.19 multiply( 'least_upper_bound'( identity, X ), Y ) ) ] )
% 34.80/35.19 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.19 'greatest_lower_bound'( a, inverse( b ) ) ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67643, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 34.80/35.19 a, inverse( b ) ), X ), X ), X ) ] )
% 34.80/35.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.19 , 0, clause( 67642, [ =( 'least_upper_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( a, inverse( b ) ), X ), X ), multiply( identity,
% 34.80/35.19 X ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3787, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( a
% 34.80/35.19 , inverse( b ) ), X ), X ), X ) ] )
% 34.80/35.19 , clause( 67643, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 34.80/35.19 a, inverse( b ) ), X ), X ), X ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67645, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( a, inverse( b ) ) ) ) ] )
% 34.80/35.19 , clause( 3778, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 a, inverse( b ) ) ), identity ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67646, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( inverse( b ), a ) ) ) ] )
% 34.80/35.19 , clause( 946, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 34.80/35.19 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.19 , 0, clause( 67645, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( a, inverse( b ) ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, inverse( b ) ), :=( Y, a ), :=( Z,
% 34.80/35.19 identity )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67649, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 inverse( b ), a ) ), identity ) ] )
% 34.80/35.19 , clause( 67646, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( inverse( b ), a ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3793, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 inverse( b ), a ) ), identity ) ] )
% 34.80/35.19 , clause( 67649, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 inverse( b ), a ) ), identity ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67651, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 34.80/35.19 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 34.80/35.19 , clause( 2501, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.80/35.19 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67653, [ =( 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( b ), a ) ), X ), multiply( X, identity )
% 34.80/35.19 ) ] )
% 34.80/35.19 , clause( 3793, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 inverse( b ), a ) ), identity ) ] )
% 34.80/35.19 , 0, clause( 67651, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 34.80/35.19 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 34.80/35.19 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 34.80/35.19 'greatest_lower_bound'( inverse( b ), a ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67654, [ =( 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( b ), a ) ), X ), X ) ] )
% 34.80/35.19 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.19 , 0, clause( 67653, [ =( 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( b ), a ) ), X ), multiply( X, identity )
% 34.80/35.19 ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 3827, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 34.80/35.19 inverse( b ), a ) ), X ), X ) ] )
% 34.80/35.19 , clause( 67654, [ =( 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( b ), a ) ), X ), X ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67656, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 34.80/35.19 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 74, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 34.80/35.19 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67657, [ =( X, 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( b ), a ) ), X ) ) ] )
% 34.80/35.19 , clause( 3827, [ =( 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( b ), a ) ), X ), X ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67659, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( inverse( inverse( b ) ), a )
% 34.80/35.19 ), inverse( inverse( b ) ) ) ) ] )
% 34.80/35.19 , clause( 67656, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y
% 34.80/35.19 ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, clause( 67657, [ =( X, 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( b ), a ) ), X ) ) ] )
% 34.80/35.19 , 0, 5, substitution( 0, [ :=( X, inverse( b ) ), :=( Y, a )] ),
% 34.80/35.19 substitution( 1, [ :=( X, inverse( inverse( b ) ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67662, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( inverse( inverse( b ) ), a )
% 34.80/35.19 ), b ) ) ] )
% 34.80/35.19 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.19 , 0, clause( 67659, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( inverse( inverse( b ) ), a )
% 34.80/35.19 ), inverse( inverse( b ) ) ) ) ] )
% 34.80/35.19 , 0, 12, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67664, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( b, a ) ), b ) ) ] )
% 34.80/35.19 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.19 , 0, clause( 67662, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( inverse( inverse( b ) ), a )
% 34.80/35.19 ), b ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67665, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ), b ) ) ] )
% 34.80/35.19 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.19 , 0, clause( 67664, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( b, a ) ), b ) ) ] )
% 34.80/35.19 , 0, 1, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67671, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 34.80/35.19 multiply( b, a ) ), b ), b ) ] )
% 34.80/35.19 , clause( 67665, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ), b ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4037, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 34.80/35.19 multiply( b, a ) ), b ), b ) ] )
% 34.80/35.19 , clause( 67671, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , multiply( b, a ) ), b ), b ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67674, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ), b ) ) ] )
% 34.80/35.19 , clause( 4037, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , multiply( b, a ) ), b ), b ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67675, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X
% 34.80/35.19 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.19 , clause( 890, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y )
% 34.80/35.19 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67676, [ =( b, 'least_upper_bound'( b, 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ) ) ) ] )
% 34.80/35.19 , clause( 67675, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ),
% 34.80/35.19 X ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.19 , 0, clause( 67674, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ), b ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, b ), :=( Y, multiply( b, a ) ), :=( Z,
% 34.80/35.19 identity )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67677, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ) ), b ) ] )
% 34.80/35.19 , clause( 67676, [ =( b, 'least_upper_bound'( b, 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4053, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( multiply(
% 34.80/35.19 b, a ), identity ) ), b ) ] )
% 34.80/35.19 , clause( 67677, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ) ), b ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67679, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 34.80/35.19 , X ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67680, [ =( 'greatest_lower_bound'( multiply( b, a ), identity ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( multiply( b, a ),
% 34.80/35.19 identity ), b ) ) ] )
% 34.80/35.19 , clause( 4053, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ) ), b ) ] )
% 34.80/35.19 , 0, clause( 67679, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.80/35.19 Y, X ) ) ) ] )
% 34.80/35.19 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.19 'greatest_lower_bound'( multiply( b, a ), identity ) ), :=( Y, b )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67681, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ), b ), 'greatest_lower_bound'( multiply( b, a
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , clause( 67680, [ =( 'greatest_lower_bound'( multiply( b, a ), identity )
% 34.80/35.19 , 'greatest_lower_bound'( 'greatest_lower_bound'( multiply( b, a ),
% 34.80/35.19 identity ), b ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4099, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.19 b, a ), identity ), b ), 'greatest_lower_bound'( multiply( b, a ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67681, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ), b ), 'greatest_lower_bound'( multiply( b, a
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67683, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.19 , clause( 35, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67684, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( b, inverse( a ) ) ) ) ] )
% 34.80/35.19 , clause( 412, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, b ), inverse( a ) ), 'greatest_lower_bound'( b, inverse( a ) )
% 34.80/35.19 ) ] )
% 34.80/35.19 , 0, clause( 67683, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 34.80/35.19 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 34.80/35.19 , b ), :=( Z, inverse( a ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67686, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 b, inverse( a ) ) ), identity ) ] )
% 34.80/35.19 , clause( 67684, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( b, inverse( a ) ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4304, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'( b
% 34.80/35.19 , inverse( a ) ) ), identity ) ] )
% 34.80/35.19 , clause( 67686, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 b, inverse( a ) ) ), identity ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67688, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( b, inverse( a ) ) ) ) ] )
% 34.80/35.19 , clause( 4304, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 b, inverse( a ) ) ), identity ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67689, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) ) ) ] )
% 34.80/35.19 , clause( 946, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 34.80/35.19 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.19 , 0, clause( 67688, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( b, inverse( a ) ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, b ), :=( Z,
% 34.80/35.19 identity )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67692, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 inverse( a ), b ) ), identity ) ] )
% 34.80/35.19 , clause( 67689, [ =( identity, 'least_upper_bound'( identity,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4321, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 inverse( a ), b ) ), identity ) ] )
% 34.80/35.19 , clause( 67692, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 inverse( a ), b ) ), identity ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67694, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 34.80/35.19 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , clause( 110, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 34.80/35.19 'least_upper_bound'( identity, Y ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67696, [ =( multiply( identity, X ), 'least_upper_bound'( X,
% 34.80/35.19 multiply( 'greatest_lower_bound'( inverse( a ), b ), X ) ) ) ] )
% 34.80/35.19 , clause( 4321, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 inverse( a ), b ) ), identity ) ] )
% 34.80/35.19 , 0, clause( 67694, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 34.80/35.19 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67697, [ =( X, 'least_upper_bound'( X, multiply(
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ), X ) ) ) ] )
% 34.80/35.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.19 , 0, clause( 67696, [ =( multiply( identity, X ), 'least_upper_bound'( X,
% 34.80/35.19 multiply( 'greatest_lower_bound'( inverse( a ), b ), X ) ) ) ] )
% 34.80/35.19 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67698, [ =( 'least_upper_bound'( X, multiply(
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ), X ) ), X ) ] )
% 34.80/35.19 , clause( 67697, [ =( X, 'least_upper_bound'( X, multiply(
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ), X ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4340, [ =( 'least_upper_bound'( X, multiply( 'greatest_lower_bound'(
% 34.80/35.19 inverse( a ), b ), X ) ), X ) ] )
% 34.80/35.19 , clause( 67698, [ =( 'least_upper_bound'( X, multiply(
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ), X ) ), X ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67700, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 34.80/35.19 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 34.80/35.19 , clause( 2501, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 34.80/35.19 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67702, [ =( 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) ), X ), multiply( X, identity )
% 34.80/35.19 ) ] )
% 34.80/35.19 , clause( 4321, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 34.80/35.19 inverse( a ), b ) ), identity ) ] )
% 34.80/35.19 , 0, clause( 67700, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 34.80/35.19 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 34.80/35.19 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67703, [ =( 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) ), X ), X ) ] )
% 34.80/35.19 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.19 , 0, clause( 67702, [ =( 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) ), X ), multiply( X, identity )
% 34.80/35.19 ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4341, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 34.80/35.19 inverse( a ), b ) ), X ), X ) ] )
% 34.80/35.19 , clause( 67703, [ =( 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) ), X ), X ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67705, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 34.80/35.19 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 74, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 34.80/35.19 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67706, [ =( X, 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) ), X ) ) ] )
% 34.80/35.19 , clause( 4341, [ =( 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) ), X ), X ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67708, [ =( inverse( inverse( a ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( inverse( inverse( a ) ), b )
% 34.80/35.19 ), inverse( inverse( a ) ) ) ) ] )
% 34.80/35.19 , clause( 67705, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y
% 34.80/35.19 ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, clause( 67706, [ =( X, 'least_upper_bound'( multiply( X,
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ) ), X ) ) ] )
% 34.80/35.19 , 0, 5, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, b )] ),
% 34.80/35.19 substitution( 1, [ :=( X, inverse( inverse( a ) ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67711, [ =( inverse( inverse( a ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( inverse( inverse( a ) ), b )
% 34.80/35.19 ), a ) ) ] )
% 34.80/35.19 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.19 , 0, clause( 67708, [ =( inverse( inverse( a ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( inverse( inverse( a ) ), b )
% 34.80/35.19 ), inverse( inverse( a ) ) ) ) ] )
% 34.80/35.19 , 0, 12, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67713, [ =( inverse( inverse( a ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ), a ) ) ] )
% 34.80/35.19 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.19 , 0, clause( 67711, [ =( inverse( inverse( a ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( inverse( inverse( a ) ), b )
% 34.80/35.19 ), a ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67714, [ =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( a, b ) ), a ) ) ] )
% 34.80/35.19 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.19 , 0, clause( 67713, [ =( inverse( inverse( a ) ), 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ), a ) ) ] )
% 34.80/35.19 , 0, 1, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67720, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 34.80/35.19 multiply( a, b ) ), a ), a ) ] )
% 34.80/35.19 , clause( 67714, [ =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( a, b ) ), a ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4579, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 34.80/35.19 multiply( a, b ) ), a ), a ) ] )
% 34.80/35.19 , clause( 67720, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , multiply( a, b ) ), a ), a ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67724, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 34.80/35.19 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 34.80/35.19 , clause( 77, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 34.80/35.19 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67727, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 34.80/35.19 multiply( a, b ) ), a ), 'least_upper_bound'( 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( a, X ), Y ),
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ) ), a ) ) ] )
% 34.80/35.19 , clause( 4579, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , multiply( a, b ) ), a ), a ) ] )
% 34.80/35.19 , 0, clause( 67724, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 34.80/35.19 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 34.80/35.19 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ) ), :=( Y, a ), :=( Z
% 34.80/35.19 , X ), :=( T, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67728, [ =( a, 'least_upper_bound'( 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( a, X ), Y ),
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ) ), a ) ) ] )
% 34.80/35.19 , clause( 4579, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , multiply( a, b ) ), a ), a ) ] )
% 34.80/35.19 , 0, clause( 67727, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( a, b ) ), a ), 'least_upper_bound'(
% 34.80/35.19 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( a, X
% 34.80/35.19 ), Y ), 'greatest_lower_bound'( identity, multiply( a, b ) ) ), a ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67731, [ =( a, 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( a, b ) ) ) ) ] )
% 34.80/35.19 , clause( 617, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 34.80/35.19 'least_upper_bound'( X, T ) ) ] )
% 34.80/35.19 , 0, clause( 67728, [ =( a, 'least_upper_bound'( 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( a, X ), Y ),
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ) ), a ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T,
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ) )] ), substitution(
% 34.80/35.19 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67732, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( a, b ) ) ), a ) ] )
% 34.80/35.19 , clause( 67731, [ =( a, 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( a, b ) ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4592, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'( identity
% 34.80/35.19 , multiply( a, b ) ) ), a ) ] )
% 34.80/35.19 , clause( 67732, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( a, b ) ) ), a ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67733, [ =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( a, b ) ), a ) ) ] )
% 34.80/35.19 , clause( 4579, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , multiply( a, b ) ), a ), a ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67734, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X
% 34.80/35.19 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.19 , clause( 890, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y )
% 34.80/35.19 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67735, [ =( a, 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ) ) ) ] )
% 34.80/35.19 , clause( 67734, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ),
% 34.80/35.19 X ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 34.80/35.19 , 0, clause( 67733, [ =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( a, b ) ), a ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, multiply( a, b ) ), :=( Z,
% 34.80/35.19 identity )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67736, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ) ), a ) ] )
% 34.80/35.19 , clause( 67735, [ =( a, 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4596, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'( multiply(
% 34.80/35.19 a, b ), identity ) ), a ) ] )
% 34.80/35.19 , clause( 67736, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ) ), a ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67739, [ =( 'least_upper_bound'( 'least_upper_bound'( X, a ),
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ) ),
% 34.80/35.19 'least_upper_bound'( a, X ) ) ] )
% 34.80/35.19 , clause( 4579, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , multiply( a, b ) ), a ), a ) ] )
% 34.80/35.19 , 0, clause( 626, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y
% 34.80/35.19 ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.80/35.19 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y,
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ) ), :=( Z, X )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4600, [ =( 'least_upper_bound'( 'least_upper_bound'( X, a ),
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ) ),
% 34.80/35.19 'least_upper_bound'( a, X ) ) ] )
% 34.80/35.19 , clause( 67739, [ =( 'least_upper_bound'( 'least_upper_bound'( X, a ),
% 34.80/35.19 'greatest_lower_bound'( identity, multiply( a, b ) ) ),
% 34.80/35.19 'least_upper_bound'( a, X ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67741, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 34.80/35.19 , X ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67742, [ =( 'greatest_lower_bound'( multiply( a, b ), identity ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( multiply( a, b ),
% 34.80/35.19 identity ), a ) ) ] )
% 34.80/35.19 , clause( 4596, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ) ), a ) ] )
% 34.80/35.19 , 0, clause( 67741, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.80/35.19 Y, X ) ) ) ] )
% 34.80/35.19 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.19 'greatest_lower_bound'( multiply( a, b ), identity ) ), :=( Y, a )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67743, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ), a ), 'greatest_lower_bound'( multiply( a, b
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , clause( 67742, [ =( 'greatest_lower_bound'( multiply( a, b ), identity )
% 34.80/35.19 , 'greatest_lower_bound'( 'greatest_lower_bound'( multiply( a, b ),
% 34.80/35.19 identity ), a ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4671, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.19 a, b ), identity ), a ), 'greatest_lower_bound'( multiply( a, b ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67743, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ), a ), 'greatest_lower_bound'( multiply( a, b
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67744, [ =( 'least_upper_bound'( b, inverse( b ) ),
% 34.80/35.19 'least_upper_bound'( 'least_upper_bound'( identity, b ), inverse( b ) ) )
% 34.80/35.19 ] )
% 34.80/35.19 , clause( 172, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, b )
% 34.80/35.19 , inverse( b ) ), 'least_upper_bound'( b, inverse( b ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67745, [ =( 'least_upper_bound'( b, inverse( b ) ),
% 34.80/35.19 'least_upper_bound'( 'least_upper_bound'( b, identity ), inverse( b ) ) )
% 34.80/35.19 ] )
% 34.80/35.19 , clause( 115, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 34.80/35.19 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 34.80/35.19 , 0, clause( 67744, [ =( 'least_upper_bound'( b, inverse( b ) ),
% 34.80/35.19 'least_upper_bound'( 'least_upper_bound'( identity, b ), inverse( b ) ) )
% 34.80/35.19 ] )
% 34.80/35.19 , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, identity ), :=( Z, inverse( b
% 34.80/35.19 ) )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67748, [ =( 'least_upper_bound'( 'least_upper_bound'( b, identity )
% 34.80/35.19 , inverse( b ) ), 'least_upper_bound'( b, inverse( b ) ) ) ] )
% 34.80/35.19 , clause( 67745, [ =( 'least_upper_bound'( b, inverse( b ) ),
% 34.80/35.19 'least_upper_bound'( 'least_upper_bound'( b, identity ), inverse( b ) ) )
% 34.80/35.19 ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4864, [ =( 'least_upper_bound'( 'least_upper_bound'( b, identity )
% 34.80/35.19 , inverse( b ) ), 'least_upper_bound'( b, inverse( b ) ) ) ] )
% 34.80/35.19 , clause( 67748, [ =( 'least_upper_bound'( 'least_upper_bound'( b, identity
% 34.80/35.19 ), inverse( b ) ), 'least_upper_bound'( b, inverse( b ) ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67750, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 34.80/35.19 , X ) ) ] )
% 34.80/35.19 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 34.80/35.19 , X ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67751, [ =( 'least_upper_bound'( b, identity ),
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( b, inverse( b ) ),
% 34.80/35.19 'least_upper_bound'( b, identity ) ) ) ] )
% 34.80/35.19 , clause( 4864, [ =( 'least_upper_bound'( 'least_upper_bound'( b, identity
% 34.80/35.19 ), inverse( b ) ), 'least_upper_bound'( b, inverse( b ) ) ) ] )
% 34.80/35.19 , 0, clause( 67750, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 34.80/35.19 , Y ), X ) ) ] )
% 34.80/35.19 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), :=( Y, inverse( b ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67752, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b, inverse(
% 34.80/35.19 b ) ), 'least_upper_bound'( b, identity ) ), 'least_upper_bound'( b,
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67751, [ =( 'least_upper_bound'( b, identity ),
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( b, inverse( b ) ),
% 34.80/35.19 'least_upper_bound'( b, identity ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 4885, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b, inverse(
% 34.80/35.19 b ) ), 'least_upper_bound'( b, identity ) ), 'least_upper_bound'( b,
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67752, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ), 'least_upper_bound'( b, identity ) ), 'least_upper_bound'(
% 34.80/35.19 b, identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67754, [ =( X, 'least_upper_bound'( X, multiply(
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ), X ) ) ) ] )
% 34.80/35.19 , clause( 4340, [ =( 'least_upper_bound'( X, multiply(
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ), X ) ), X ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67755, [ =( a, 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ) ) ) ] )
% 34.80/35.19 , clause( 147, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X
% 34.80/35.19 ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 34.80/35.19 , 0, clause( 67754, [ =( X, 'least_upper_bound'( X, multiply(
% 34.80/35.19 'greatest_lower_bound'( inverse( a ), b ), X ) ) ) ] )
% 34.80/35.19 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [
% 34.80/35.19 :=( X, a )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67756, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ) ), a ) ] )
% 34.80/35.19 , clause( 67755, [ =( a, 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 5244, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'( identity
% 34.80/35.19 , multiply( b, a ) ) ), a ) ] )
% 34.80/35.19 , clause( 67756, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ) ), a ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67757, [ =( a, 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ) ) ) ] )
% 34.80/35.19 , clause( 5244, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ) ), a ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67759, [ =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ), a ) ) ] )
% 34.80/35.19 , clause( 890, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y )
% 34.80/35.19 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 34.80/35.19 , 0, clause( 67757, [ =( a, 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.19 identity, multiply( b, a ) ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply( b, a ) ),
% 34.80/35.19 :=( Z, a )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67760, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.19 b, a ), identity ), a ), a ) ] )
% 34.80/35.19 , clause( 67759, [ =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ), a ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 5267, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply( b
% 34.80/35.19 , a ), identity ), a ), a ) ] )
% 34.80/35.19 , clause( 67760, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.19 b, a ), identity ), a ), a ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67762, [ =( X, 'least_upper_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( a, inverse( b ) ), X ), X ) ) ] )
% 34.80/35.19 , clause( 3787, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 34.80/35.19 a, inverse( b ) ), X ), X ), X ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67763, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ), b ) ) ] )
% 34.80/35.19 , clause( 148, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X
% 34.80/35.19 ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 34.80/35.19 , 0, clause( 67762, [ =( X, 'least_upper_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( a, inverse( b ) ), X ), X ) ) ] )
% 34.80/35.19 , 0, 3, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [
% 34.80/35.19 :=( X, b )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67764, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.19 a, b ), identity ), b ), b ) ] )
% 34.80/35.19 , clause( 67763, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ), b ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 5303, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply( a
% 34.80/35.19 , b ), identity ), b ), b ) ] )
% 34.80/35.19 , clause( 67764, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.19 a, b ), identity ), b ), b ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67765, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.19 inverse( a ), a ), 'least_upper_bound'( b, inverse( b ) ) ) ) ] )
% 34.80/35.19 , clause( 177, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( a
% 34.80/35.19 ), a ), 'least_upper_bound'( b, inverse( b ) ) ), identity ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67766, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.19 inverse( a ), a ), 'least_upper_bound'( inverse( b ), b ) ) ) ] )
% 34.80/35.19 , clause( 879, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X )
% 34.80/35.19 ), 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ) ] )
% 34.80/35.19 , 0, clause( 67765, [ =( identity, 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( inverse( a ), a ), 'least_upper_bound'( b, inverse(
% 34.80/35.19 b ) ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, inverse( b ) ), :=( Y, b ), :=( Z,
% 34.80/35.19 'least_upper_bound'( inverse( a ), a ) )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67769, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( a
% 34.80/35.19 ), a ), 'least_upper_bound'( inverse( b ), b ) ), identity ) ] )
% 34.80/35.19 , clause( 67766, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.19 inverse( a ), a ), 'least_upper_bound'( inverse( b ), b ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 6307, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( a
% 34.80/35.19 ), a ), 'least_upper_bound'( inverse( b ), b ) ), identity ) ] )
% 34.80/35.19 , clause( 67769, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 34.80/35.19 a ), a ), 'least_upper_bound'( inverse( b ), b ) ), identity ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67771, [ =( 'greatest_lower_bound'( Z, X ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 34.80/35.19 , clause( 96, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67773, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( b
% 34.80/35.19 ), b ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a ) )
% 34.80/35.19 ) ] )
% 34.80/35.19 , clause( 6307, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 34.80/35.19 a ), a ), 'least_upper_bound'( inverse( b ), b ) ), identity ) ] )
% 34.80/35.19 , 0, clause( 67771, [ =( 'greatest_lower_bound'( Z, X ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 34.80/35.19 ), Z ), X ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( a ) ),
% 34.80/35.19 :=( Y, a ), :=( Z, 'least_upper_bound'( inverse( b ), b ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 6483, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( b
% 34.80/35.19 ), b ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a ) )
% 34.80/35.19 ) ] )
% 34.80/35.19 , clause( 67773, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 34.80/35.19 b ), b ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a )
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67777, [ =( 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, 'least_upper_bound'( 'greatest_lower_bound'( Y
% 34.80/35.19 , X ), Z ) ), Y ) ) ] )
% 34.80/35.19 , clause( 212, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.80/35.19 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ), X ),
% 34.80/35.19 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67778, [ =( 'greatest_lower_bound'( multiply( a, b ), identity ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( identity, b ), multiply(
% 34.80/35.19 a, b ) ) ) ] )
% 34.80/35.19 , clause( 5303, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.19 a, b ), identity ), b ), b ) ] )
% 34.80/35.19 , 0, clause( 67777, [ =( 'greatest_lower_bound'( Y, X ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( Y, X ), Z ) ), Y ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 34.80/35.19 , multiply( a, b ) ), :=( Z, b )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67779, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, b ), multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , clause( 67778, [ =( 'greatest_lower_bound'( multiply( a, b ), identity )
% 34.80/35.19 , 'greatest_lower_bound'( 'greatest_lower_bound'( identity, b ), multiply(
% 34.80/35.19 a, b ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 7175, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , b ), multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67779, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, b ), multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67781, [ =( 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, 'least_upper_bound'( 'greatest_lower_bound'( Y
% 34.80/35.19 , X ), Z ) ), Y ) ) ] )
% 34.80/35.19 , clause( 212, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.80/35.19 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ), X ),
% 34.80/35.19 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67782, [ =( 'greatest_lower_bound'( multiply( b, a ), identity ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( identity, a ), multiply(
% 34.80/35.19 b, a ) ) ) ] )
% 34.80/35.19 , clause( 5267, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.19 b, a ), identity ), a ), a ) ] )
% 34.80/35.19 , 0, clause( 67781, [ =( 'greatest_lower_bound'( Y, X ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 34.80/35.19 'greatest_lower_bound'( Y, X ), Z ) ), Y ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 34.80/35.19 , multiply( b, a ) ), :=( Z, a )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67783, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, a ), multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , clause( 67782, [ =( 'greatest_lower_bound'( multiply( b, a ), identity )
% 34.80/35.19 , 'greatest_lower_bound'( 'greatest_lower_bound'( identity, a ), multiply(
% 34.80/35.19 b, a ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 7177, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.80/35.19 , a ), multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67783, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, a ), multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67785, [ =( 'greatest_lower_bound'( multiply( X, inverse( Z ) ), Y
% 34.80/35.19 ), multiply( 'greatest_lower_bound'( X, multiply( Y, Z ) ), inverse( Z )
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 244, [ =( multiply( 'greatest_lower_bound'( Z, multiply( X, Y ) )
% 34.80/35.19 , inverse( Y ) ), 'greatest_lower_bound'( multiply( Z, inverse( Y ) ), X
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67790, [ =( 'greatest_lower_bound'( multiply( identity, inverse( X
% 34.80/35.19 ) ), inverse( Y ) ), multiply( multiply( inverse( Y ),
% 34.80/35.19 'greatest_lower_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 34.80/35.19 , clause( 74, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 34.80/35.19 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.19 , 0, clause( 67785, [ =( 'greatest_lower_bound'( multiply( X, inverse( Z )
% 34.80/35.19 ), Y ), multiply( 'greatest_lower_bound'( X, multiply( Y, Z ) ), inverse(
% 34.80/35.19 Z ) ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 34.80/35.19 :=( X, identity ), :=( Y, inverse( Y ) ), :=( Z, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67791, [ =( 'greatest_lower_bound'( multiply( identity, inverse( X
% 34.80/35.19 ) ), inverse( Y ) ), inverse( multiply( multiply( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( Y, X ) ) ), Y ) ) ) ] )
% 34.80/35.19 , clause( 270, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 34.80/35.19 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 34.80/35.19 , 0, clause( 67790, [ =( 'greatest_lower_bound'( multiply( identity,
% 34.80/35.19 inverse( X ) ), inverse( Y ) ), multiply( multiply( inverse( Y ),
% 34.80/35.19 'greatest_lower_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 34.80/35.19 ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67792, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 34.80/35.19 inverse( multiply( multiply( X, inverse( 'greatest_lower_bound'( Y, X ) )
% 34.80/35.19 ), Y ) ) ) ] )
% 34.80/35.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.19 , 0, clause( 67791, [ =( 'greatest_lower_bound'( multiply( identity,
% 34.80/35.19 inverse( X ) ), inverse( Y ) ), inverse( multiply( multiply( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( Y, X ) ) ), Y ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 34.80/35.19 :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67793, [ =( inverse( multiply( multiply( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( Y, X ) ) ), Y ) ), 'greatest_lower_bound'(
% 34.80/35.19 inverse( X ), inverse( Y ) ) ) ] )
% 34.80/35.19 , clause( 67792, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) )
% 34.80/35.19 , inverse( multiply( multiply( X, inverse( 'greatest_lower_bound'( Y, X )
% 34.80/35.19 ) ), Y ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 9137, [ =( inverse( multiply( multiply( Y, inverse(
% 34.80/35.19 'greatest_lower_bound'( X, Y ) ) ), X ) ), 'greatest_lower_bound'(
% 34.80/35.19 inverse( Y ), inverse( X ) ) ) ] )
% 34.80/35.19 , clause( 67793, [ =( inverse( multiply( multiply( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( Y, X ) ) ), Y ) ), 'greatest_lower_bound'(
% 34.80/35.19 inverse( X ), inverse( Y ) ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.19 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67795, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 34.80/35.19 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.80/35.19 , clause( 187, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 34.80/35.19 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67800, [ =( multiply( inverse( 'least_upper_bound'( X, identity ) )
% 34.80/35.19 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 34.80/35.19 'least_upper_bound'( identity, inverse( X ) ) ), inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ) ) ) ] )
% 34.80/35.19 , clause( 3650, [ =( multiply( inverse( 'least_upper_bound'( X, identity )
% 34.80/35.19 ), X ), inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 34.80/35.19 , 0, clause( 67795, [ =( multiply( X, 'least_upper_bound'( Y, identity ) )
% 34.80/35.19 , 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 34.80/35.19 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 34.80/35.19 inverse( 'least_upper_bound'( X, identity ) ) ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67801, [ =( identity, 'least_upper_bound'( inverse(
% 34.80/35.19 'least_upper_bound'( identity, inverse( X ) ) ), inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ) ) ) ] )
% 34.80/35.19 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.19 , 0, clause( 67800, [ =( multiply( inverse( 'least_upper_bound'( X,
% 34.80/35.19 identity ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 34.80/35.19 inverse( 'least_upper_bound'( identity, inverse( X ) ) ), inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ) ) ) ] )
% 34.80/35.19 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 34.80/35.19 substitution( 1, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67802, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 34.80/35.19 identity, inverse( X ) ) ), inverse( 'least_upper_bound'( X, identity ) )
% 34.80/35.19 ), identity ) ] )
% 34.80/35.19 , clause( 67801, [ =( identity, 'least_upper_bound'( inverse(
% 34.80/35.19 'least_upper_bound'( identity, inverse( X ) ) ), inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 15998, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 34.80/35.19 identity, inverse( X ) ) ), inverse( 'least_upper_bound'( X, identity ) )
% 34.80/35.19 ), identity ) ] )
% 34.80/35.19 , clause( 67802, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 34.80/35.19 identity, inverse( X ) ) ), inverse( 'least_upper_bound'( X, identity ) )
% 34.80/35.19 ), identity ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67804, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 34.80/35.19 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.19 , clause( 150, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 34.80/35.19 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67809, [ =( multiply( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), X ), identity ), inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, X ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 34.80/35.19 , clause( 3635, [ =( multiply( multiply( 'greatest_lower_bound'( identity,
% 34.80/35.19 X ), X ), inverse( 'greatest_lower_bound'( identity, X ) ) ), X ) ] )
% 34.80/35.19 , 0, clause( 67804, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 34.80/35.19 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.19 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 34.80/35.19 multiply( 'greatest_lower_bound'( identity, X ), X ) ), :=( Y, inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, X ) ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67810, [ =( multiply( multiply( 'greatest_lower_bound'( X, identity
% 34.80/35.19 ), 'greatest_lower_bound'( X, identity ) ), inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, X ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 34.80/35.19 , clause( 3619, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), X ), identity ), multiply(
% 34.80/35.19 'greatest_lower_bound'( X, identity ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ) ] )
% 34.80/35.19 , 0, clause( 67809, [ =( multiply( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( identity, X ), X ), identity ), inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, X ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67811, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( identity, X )
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , clause( 702, [ =( multiply( multiply( Z, 'greatest_lower_bound'( X, Y ) )
% 34.80/35.19 , inverse( 'greatest_lower_bound'( Y, X ) ) ), Z ) ] )
% 34.80/35.19 , 0, clause( 67810, [ =( multiply( multiply( 'greatest_lower_bound'( X,
% 34.80/35.19 identity ), 'greatest_lower_bound'( X, identity ) ), inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, X ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 34.80/35.19 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z,
% 34.80/35.19 'greatest_lower_bound'( X, identity ) )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67812, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, X ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67811, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( identity, X )
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16005, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, X ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67812, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, X ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67814, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( identity, X )
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , clause( 16005, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, X ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67817, [ =( 'greatest_lower_bound'( multiply( X, identity ),
% 34.80/35.19 identity ), 'greatest_lower_bound'( multiply( X, identity ), inverse(
% 34.80/35.19 multiply( 'greatest_lower_bound'( X, identity ), identity ) ) ) ) ] )
% 34.80/35.19 , clause( 2781, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 34.80/35.19 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 34.80/35.19 , 0, clause( 67814, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( identity, X )
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 34.80/35.19 substitution( 1, [ :=( X, multiply( X, identity ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67820, [ =( 'greatest_lower_bound'( multiply( X, identity ),
% 34.80/35.19 identity ), 'greatest_lower_bound'( multiply( X, identity ), inverse(
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 34.80/35.19 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.19 , 0, clause( 67817, [ =( 'greatest_lower_bound'( multiply( X, identity ),
% 34.80/35.19 identity ), 'greatest_lower_bound'( multiply( X, identity ), inverse(
% 34.80/35.19 multiply( 'greatest_lower_bound'( X, identity ), identity ) ) ) ) ] )
% 34.80/35.19 , 0, 11, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) )] )
% 34.80/35.19 , substitution( 1, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67826, [ =( 'greatest_lower_bound'( multiply( X, identity ),
% 34.80/35.19 identity ), 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( X
% 34.80/35.19 , identity ) ) ) ) ] )
% 34.80/35.19 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.19 , 0, clause( 67820, [ =( 'greatest_lower_bound'( multiply( X, identity ),
% 34.80/35.19 identity ), 'greatest_lower_bound'( multiply( X, identity ), inverse(
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 34.80/35.19 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67827, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( X, identity )
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.19 , 0, clause( 67826, [ =( 'greatest_lower_bound'( multiply( X, identity ),
% 34.80/35.19 identity ), 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( X
% 34.80/35.19 , identity ) ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67829, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67827, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( X, identity )
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16014, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67829, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67832, [ =( 'greatest_lower_bound'( Y, Z ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), Y ) ) ] )
% 34.80/35.19 , clause( 305, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( Y, X ), Z ), X ), 'greatest_lower_bound'( X, Z ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67842, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), identity ) ) ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 34.80/35.19 ), identity ), X ) ) ] )
% 34.80/35.19 , clause( 16014, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ) ), 'greatest_lower_bound'( X,
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , 0, clause( 67832, [ =( 'greatest_lower_bound'( Y, Z ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 34.80/35.19 ), Z ), Y ) ) ] )
% 34.80/35.19 , 0, 10, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) )] ),
% 34.80/35.19 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, inverse(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), identity ) ) )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67843, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), identity ) ) ),
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ) ] )
% 34.80/35.19 , clause( 305, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( Y, X ), Z ), X ), 'greatest_lower_bound'( X, Z ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, clause( 67842, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), identity ) ) ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 34.80/35.19 ), identity ), X ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 34.80/35.19 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16034, [ =( 'greatest_lower_bound'( Y, inverse(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), identity ) ) ),
% 34.80/35.19 'greatest_lower_bound'( Y, identity ) ) ] )
% 34.80/35.19 , clause( 67843, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), identity ) ) ),
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.19 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67846, [ =( 'greatest_lower_bound'( Z, X ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 34.80/35.19 , clause( 96, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67848, [ =( 'greatest_lower_bound'( inverse( a ), inverse( b ) ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( identity, inverse( a ) )
% 34.80/35.19 , inverse( b ) ) ) ] )
% 34.80/35.19 , clause( 6483, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 34.80/35.19 b ), b ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a )
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , 0, clause( 67846, [ =( 'greatest_lower_bound'( Z, X ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 34.80/35.19 ), Z ), X ) ) ] )
% 34.80/35.19 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 34.80/35.19 :=( Y, b ), :=( Z, inverse( a ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67850, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, inverse( a ) ), inverse( b ) ), 'greatest_lower_bound'( inverse(
% 34.80/35.19 a ), inverse( b ) ) ) ] )
% 34.80/35.19 , clause( 67848, [ =( 'greatest_lower_bound'( inverse( a ), inverse( b ) )
% 34.80/35.19 , 'greatest_lower_bound'( 'greatest_lower_bound'( identity, inverse( a )
% 34.80/35.19 ), inverse( b ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16387, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, inverse( a ) ), inverse( b ) ), 'greatest_lower_bound'( inverse(
% 34.80/35.19 a ), inverse( b ) ) ) ] )
% 34.80/35.19 , clause( 67850, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, inverse( a ) ), inverse( b ) ), 'greatest_lower_bound'( inverse(
% 34.80/35.19 a ), inverse( b ) ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67852, [ =( 'greatest_lower_bound'( identity, X ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ), X ), 'least_upper_bound'( a, inverse( a ) ) ) ) ] )
% 34.80/35.19 , clause( 293, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( b, inverse( b ) ), X ), 'least_upper_bound'( a,
% 34.80/35.19 inverse( a ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67854, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.19 b, identity ) ), 'greatest_lower_bound'( 'least_upper_bound'( b, identity
% 34.80/35.19 ), 'least_upper_bound'( a, inverse( a ) ) ) ) ] )
% 34.80/35.19 , clause( 4885, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ), 'least_upper_bound'( b, identity ) ), 'least_upper_bound'(
% 34.80/35.19 b, identity ) ) ] )
% 34.80/35.19 , 0, clause( 67852, [ =( 'greatest_lower_bound'( identity, X ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 inverse( b ) ), X ), 'least_upper_bound'( a, inverse( a ) ) ) ) ] )
% 34.80/35.19 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.19 'least_upper_bound'( b, identity ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67855, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.19 b, identity ), 'least_upper_bound'( a, inverse( a ) ) ) ) ] )
% 34.80/35.19 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 34.80/35.19 , X ) ] )
% 34.80/35.19 , 0, clause( 67854, [ =( 'greatest_lower_bound'( identity,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( b, identity ), 'least_upper_bound'( a, inverse( a )
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , 0, 1, substitution( 0, [ :=( X, identity ), :=( Y, b )] ), substitution(
% 34.80/35.19 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67856, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 identity ), 'least_upper_bound'( a, inverse( a ) ) ), identity ) ] )
% 34.80/35.19 , clause( 67855, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 34.80/35.19 b, identity ), 'least_upper_bound'( a, inverse( a ) ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16416, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 identity ), 'least_upper_bound'( a, inverse( a ) ) ), identity ) ] )
% 34.80/35.19 , clause( 67856, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 identity ), 'least_upper_bound'( a, inverse( a ) ) ), identity ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67858, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 34.80/35.19 , clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 34.80/35.19 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67860, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 identity ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , clause( 16416, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 identity ), 'least_upper_bound'( a, inverse( a ) ) ), identity ) ] )
% 34.80/35.19 , 0, clause( 67858, [ =( 'greatest_lower_bound'( X, Z ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 34.80/35.19 , Z ) ), Z ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), :=( Y, a ), :=( Z, inverse( a ) )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16449, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 identity ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , clause( 67860, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 identity ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67864, [ =( 'greatest_lower_bound'( multiply( X, Y ), identity ),
% 34.80/35.19 multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ] )
% 34.80/35.19 , clause( 239, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) )
% 34.80/35.19 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67867, [ =( 'greatest_lower_bound'( multiply( a,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), identity ), multiply( a,
% 34.80/35.19 'greatest_lower_bound'( identity, inverse( a ) ) ) ) ] )
% 34.80/35.19 , clause( 16449, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 identity ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , 0, clause( 67864, [ =( 'greatest_lower_bound'( multiply( X, Y ), identity
% 34.80/35.19 ), multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ] )
% 34.80/35.19 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y,
% 34.80/35.19 'least_upper_bound'( b, identity ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67868, [ =( 'greatest_lower_bound'( multiply( a,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), identity ), 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, identity ), identity ) ) ] )
% 34.80/35.19 , clause( 239, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) )
% 34.80/35.19 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 34.80/35.19 , 0, clause( 67867, [ =( 'greatest_lower_bound'( multiply( a,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), identity ), multiply( a,
% 34.80/35.19 'greatest_lower_bound'( identity, inverse( a ) ) ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 34.80/35.19 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67869, [ =( 'greatest_lower_bound'( multiply( a,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), identity ), 'greatest_lower_bound'(
% 34.80/35.19 a, identity ) ) ] )
% 34.80/35.19 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.19 , 0, clause( 67868, [ =( 'greatest_lower_bound'( multiply( a,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), identity ), 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, identity ), identity ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16633, [ =( 'greatest_lower_bound'( multiply( a,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), identity ), 'greatest_lower_bound'(
% 34.80/35.19 a, identity ) ) ] )
% 34.80/35.19 , clause( 67869, [ =( 'greatest_lower_bound'( multiply( a,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), identity ), 'greatest_lower_bound'(
% 34.80/35.19 a, identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67872, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y )
% 34.80/35.19 ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 235, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 34.80/35.19 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67876, [ =( multiply( 'greatest_lower_bound'( identity, inverse( a
% 34.80/35.19 ) ), inverse( inverse( a ) ) ), 'greatest_lower_bound'( multiply(
% 34.80/35.19 'least_upper_bound'( b, identity ), inverse( inverse( a ) ) ), identity )
% 34.80/35.19 ) ] )
% 34.80/35.19 , clause( 16449, [ =( 'greatest_lower_bound'( 'least_upper_bound'( b,
% 34.80/35.19 identity ), inverse( a ) ), 'greatest_lower_bound'( identity, inverse( a
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , 0, clause( 67872, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 34.80/35.19 Y ) ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) )
% 34.80/35.19 ] )
% 34.80/35.19 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), :=( Y, inverse( a ) )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67878, [ =( multiply( 'greatest_lower_bound'( identity, inverse( a
% 34.80/35.19 ) ), inverse( inverse( a ) ) ), 'greatest_lower_bound'( multiply(
% 34.80/35.19 'least_upper_bound'( b, identity ), a ), identity ) ) ] )
% 34.80/35.19 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.19 , 0, clause( 67876, [ =( multiply( 'greatest_lower_bound'( identity,
% 34.80/35.19 inverse( a ) ), inverse( inverse( a ) ) ), 'greatest_lower_bound'(
% 34.80/35.19 multiply( 'least_upper_bound'( b, identity ), inverse( inverse( a ) ) ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , 0, 14, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67879, [ =( multiply( 'greatest_lower_bound'( identity, inverse( a
% 34.80/35.19 ) ), a ), 'greatest_lower_bound'( multiply( 'least_upper_bound'( b,
% 34.80/35.19 identity ), a ), identity ) ) ] )
% 34.80/35.19 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.19 , 0, clause( 67878, [ =( multiply( 'greatest_lower_bound'( identity,
% 34.80/35.19 inverse( a ) ), inverse( inverse( a ) ) ), 'greatest_lower_bound'(
% 34.80/35.19 multiply( 'least_upper_bound'( b, identity ), a ), identity ) ) ] )
% 34.80/35.19 , 0, 6, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67880, [ =( 'greatest_lower_bound'( multiply( identity, a ),
% 34.80/35.19 identity ), 'greatest_lower_bound'( multiply( 'least_upper_bound'( b,
% 34.80/35.19 identity ), a ), identity ) ) ] )
% 34.80/35.19 , clause( 148, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X
% 34.80/35.19 ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 34.80/35.19 , 0, clause( 67879, [ =( multiply( 'greatest_lower_bound'( identity,
% 34.80/35.19 inverse( a ) ), a ), 'greatest_lower_bound'( multiply(
% 34.80/35.19 'least_upper_bound'( b, identity ), a ), identity ) ) ] )
% 34.80/35.19 , 0, 1, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 34.80/35.19 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67881, [ =( 'greatest_lower_bound'( a, identity ),
% 34.80/35.19 'greatest_lower_bound'( multiply( 'least_upper_bound'( b, identity ), a )
% 34.80/35.19 , identity ) ) ] )
% 34.80/35.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.19 , 0, clause( 67880, [ =( 'greatest_lower_bound'( multiply( identity, a ),
% 34.80/35.19 identity ), 'greatest_lower_bound'( multiply( 'least_upper_bound'( b,
% 34.80/35.19 identity ), a ), identity ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67882, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 34.80/35.19 b, identity ), a ), identity ), 'greatest_lower_bound'( a, identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 67881, [ =( 'greatest_lower_bound'( a, identity ),
% 34.80/35.19 'greatest_lower_bound'( multiply( 'least_upper_bound'( b, identity ), a )
% 34.80/35.19 , identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16634, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 34.80/35.19 b, identity ), a ), identity ), 'greatest_lower_bound'( a, identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 67882, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 34.80/35.19 b, identity ), a ), identity ), 'greatest_lower_bound'( a, identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67883, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 34.80/35.19 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.19 , clause( 2453, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 34.80/35.19 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67884, [ =( 'greatest_lower_bound'( a, identity ),
% 34.80/35.19 'greatest_lower_bound'( multiply( a, 'least_upper_bound'( b, identity ) )
% 34.80/35.19 , identity ) ) ] )
% 34.80/35.19 , clause( 16633, [ =( 'greatest_lower_bound'( multiply( a,
% 34.80/35.19 'least_upper_bound'( b, identity ) ), identity ), 'greatest_lower_bound'(
% 34.80/35.19 a, identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67885, [ =( 'greatest_lower_bound'( a, identity ),
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( a, multiply( a, b ) ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67883, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 34.80/35.19 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 34.80/35.19 , 0, clause( 67884, [ =( 'greatest_lower_bound'( a, identity ),
% 34.80/35.19 'greatest_lower_bound'( multiply( a, 'least_upper_bound'( b, identity ) )
% 34.80/35.19 , identity ) ) ] )
% 34.80/35.19 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67886, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 34.80/35.19 multiply( a, b ) ), identity ), 'greatest_lower_bound'( a, identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 67885, [ =( 'greatest_lower_bound'( a, identity ),
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( a, multiply( a, b ) ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16645, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 34.80/35.19 multiply( a, b ) ), identity ), 'greatest_lower_bound'( a, identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 67886, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 34.80/35.19 multiply( a, b ) ), identity ), 'greatest_lower_bound'( a, identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67887, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 34.80/35.19 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.19 , clause( 111, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 34.80/35.19 'least_upper_bound'( Y, identity ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67888, [ =( 'greatest_lower_bound'( a, identity ),
% 34.80/35.19 'greatest_lower_bound'( multiply( 'least_upper_bound'( b, identity ), a )
% 34.80/35.19 , identity ) ) ] )
% 34.80/35.19 , clause( 16634, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 34.80/35.19 b, identity ), a ), identity ), 'greatest_lower_bound'( a, identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67889, [ =( 'greatest_lower_bound'( a, identity ),
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( multiply( b, a ), a ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , clause( 67887, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 34.80/35.19 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 34.80/35.19 , 0, clause( 67888, [ =( 'greatest_lower_bound'( a, identity ),
% 34.80/35.19 'greatest_lower_bound'( multiply( 'least_upper_bound'( b, identity ), a )
% 34.80/35.19 , identity ) ) ] )
% 34.80/35.19 , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67890, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 34.80/35.19 b, a ), a ), identity ), 'greatest_lower_bound'( a, identity ) ) ] )
% 34.80/35.19 , clause( 67889, [ =( 'greatest_lower_bound'( a, identity ),
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( multiply( b, a ), a ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16685, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 34.80/35.19 b, a ), a ), identity ), 'greatest_lower_bound'( a, identity ) ) ] )
% 34.80/35.19 , clause( 67890, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 34.80/35.19 b, a ), a ), identity ), 'greatest_lower_bound'( a, identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67892, [ =( 'greatest_lower_bound'( identity, X ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'least_upper_bound'( 'least_upper_bound'( Y, b ), inverse( b ) ) ) ) ] )
% 34.80/35.19 , clause( 478, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.80/35.19 identity ), 'least_upper_bound'( 'least_upper_bound'( X, b ), inverse( b
% 34.80/35.19 ) ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67894, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.19 multiply( b, a ), a ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 a, identity ), 'least_upper_bound'( 'least_upper_bound'( X, b ), inverse(
% 34.80/35.19 b ) ) ) ) ] )
% 34.80/35.19 , clause( 16685, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 34.80/35.19 b, a ), a ), identity ), 'greatest_lower_bound'( a, identity ) ) ] )
% 34.80/35.19 , 0, clause( 67892, [ =( 'greatest_lower_bound'( identity, X ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'least_upper_bound'( 'least_upper_bound'( Y, b ), inverse( b ) ) ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.19 'least_upper_bound'( multiply( b, a ), a ) ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67895, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.19 multiply( b, a ), a ) ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , clause( 478, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 34.80/35.19 identity ), 'least_upper_bound'( 'least_upper_bound'( X, b ), inverse( b
% 34.80/35.19 ) ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 34.80/35.19 , 0, clause( 67894, [ =( 'greatest_lower_bound'( identity,
% 34.80/35.19 'least_upper_bound'( multiply( b, a ), a ) ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( a, identity ), 'least_upper_bound'(
% 34.80/35.19 'least_upper_bound'( X, b ), inverse( b ) ) ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, a )] ), substitution( 1, [
% 34.80/35.19 :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 16699, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.19 multiply( b, a ), a ) ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , clause( 67895, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.19 multiply( b, a ), a ) ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67898, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( Y, X ), identity ) ) ) ) ] )
% 34.80/35.19 , clause( 16034, [ =( 'greatest_lower_bound'( Y, inverse(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), identity ) ) ),
% 34.80/35.19 'greatest_lower_bound'( Y, identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67900, [ =( 'greatest_lower_bound'( multiply( a, b ), identity ),
% 34.80/35.19 'greatest_lower_bound'( multiply( a, b ), inverse( 'greatest_lower_bound'(
% 34.80/35.19 a, identity ) ) ) ) ] )
% 34.80/35.19 , clause( 16645, [ =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 34.80/35.19 multiply( a, b ) ), identity ), 'greatest_lower_bound'( a, identity ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, clause( 67898, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( Y, X ), identity ) ) ) ) ] )
% 34.80/35.19 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( a, b )
% 34.80/35.19 ), :=( Y, a )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67902, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.19 'greatest_lower_bound'( a, identity ) ) ), 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ) ) ] )
% 34.80/35.19 , clause( 67900, [ =( 'greatest_lower_bound'( multiply( a, b ), identity )
% 34.80/35.19 , 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.19 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 26042, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.19 'greatest_lower_bound'( a, identity ) ) ), 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ) ) ] )
% 34.80/35.19 , clause( 67902, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.19 'greatest_lower_bound'( a, identity ) ) ), 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67903, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X
% 34.80/35.19 ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.19 , clause( 838, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y )
% 34.80/35.19 ), 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67904, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( Y, X ), identity ) ) ) ) ] )
% 34.80/35.19 , clause( 16034, [ =( 'greatest_lower_bound'( Y, inverse(
% 34.80/35.19 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), identity ) ) ),
% 34.80/35.19 'greatest_lower_bound'( Y, identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67907, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( identity,
% 34.80/35.19 'least_upper_bound'( X, Y ) ) ) ) ) ] )
% 34.80/35.19 , clause( 67903, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ),
% 34.80/35.19 X ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 34.80/35.19 , 0, clause( 67904, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'(
% 34.80/35.19 'least_upper_bound'( Y, X ), identity ) ) ) ) ] )
% 34.80/35.19 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y )] ),
% 34.80/35.19 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67918, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, 'least_upper_bound'( X, Y ) ) ) ),
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ) ] )
% 34.80/35.19 , clause( 67907, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( identity,
% 34.80/35.19 'least_upper_bound'( X, Y ) ) ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 26054, [ =( 'greatest_lower_bound'( Y, inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, 'least_upper_bound'( Y, X ) ) ) ),
% 34.80/35.19 'greatest_lower_bound'( Y, identity ) ) ] )
% 34.80/35.19 , clause( 67918, [ =( 'greatest_lower_bound'( X, inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, 'least_upper_bound'( X, Y ) ) ) ),
% 34.80/35.19 'greatest_lower_bound'( X, identity ) ) ] )
% 34.80/35.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.19 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67920, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( identity,
% 34.80/35.19 'least_upper_bound'( X, Y ) ) ) ) ) ] )
% 34.80/35.19 , clause( 26054, [ =( 'greatest_lower_bound'( Y, inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, 'least_upper_bound'( Y, X ) ) ) ),
% 34.80/35.19 'greatest_lower_bound'( Y, identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67921, [ =( 'greatest_lower_bound'( multiply( b, a ), identity ),
% 34.80/35.19 'greatest_lower_bound'( multiply( b, a ), inverse( 'greatest_lower_bound'(
% 34.80/35.19 identity, a ) ) ) ) ] )
% 34.80/35.19 , clause( 16699, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 34.80/35.19 multiply( b, a ), a ) ), 'greatest_lower_bound'( identity, a ) ) ] )
% 34.80/35.19 , 0, clause( 67920, [ =( 'greatest_lower_bound'( X, identity ),
% 34.80/35.19 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( identity,
% 34.80/35.19 'least_upper_bound'( X, Y ) ) ) ) ) ] )
% 34.80/35.19 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( b, a )
% 34.80/35.19 ), :=( Y, a )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67922, [ =( 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ) ) ] )
% 34.80/35.19 , clause( 67921, [ =( 'greatest_lower_bound'( multiply( b, a ), identity )
% 34.80/35.19 , 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, a ) ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 26056, [ =( 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ) ) ] )
% 34.80/35.19 , clause( 67922, [ =( 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.80/35.19 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67924, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a )
% 34.80/35.19 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, b ), X ), a ) ) ] )
% 34.80/35.19 , clause( 336, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, b ), X ), a ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( b, a ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67926, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a )
% 34.80/35.19 , multiply( a, b ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ), a ) ) ] )
% 34.80/35.19 , clause( 7175, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, b ), multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , 0, clause( 67924, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b
% 34.80/35.19 , a ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, b ), X ), a ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( a, b ) )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67927, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a )
% 34.80/35.19 , multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ), identity
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 4671, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ), a ), 'greatest_lower_bound'( multiply( a, b
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , 0, clause( 67926, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b
% 34.80/35.19 , a ), multiply( a, b ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( a, b ), identity ), a ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 46894, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a )
% 34.80/35.19 , multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ), identity
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 67927, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a
% 34.80/35.19 ), multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67929, [ =( 'greatest_lower_bound'( multiply( a, b ), identity ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( b, a ), multiply( a, b )
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 46894, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a
% 34.80/35.19 ), multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67930, [ =( 'greatest_lower_bound'( multiply( a, b ), identity ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( a, b ), multiply( a, b )
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 88, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.19 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.19 , 0, clause( 67929, [ =( 'greatest_lower_bound'( multiply( a, b ), identity
% 34.80/35.19 ), 'greatest_lower_bound'( 'greatest_lower_bound'( b, a ), multiply( a,
% 34.80/35.19 b ) ) ) ] )
% 34.80/35.19 , 0, 6, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, multiply( a, b )
% 34.80/35.19 )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67933, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b )
% 34.80/35.19 , multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ), identity
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 67930, [ =( 'greatest_lower_bound'( multiply( a, b ), identity )
% 34.80/35.19 , 'greatest_lower_bound'( 'greatest_lower_bound'( a, b ), multiply( a, b
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 46926, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b )
% 34.80/35.19 , multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ), identity
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 67933, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b
% 34.80/35.19 ), multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67935, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b )
% 34.80/35.19 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, a ), X ), b ) ) ] )
% 34.80/35.19 , clause( 355, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, a ), X ), b ), 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( a, b ), X ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67937, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b )
% 34.80/35.19 , multiply( b, a ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ), b ) ) ] )
% 34.80/35.19 , clause( 7177, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 identity, a ), multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , 0, clause( 67935, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a
% 34.80/35.19 , b ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 'greatest_lower_bound'( identity, a ), X ), b ) ) ] )
% 34.80/35.19 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( b, a ) )] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67938, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b )
% 34.80/35.19 , multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ), identity
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 4099, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ), b ), 'greatest_lower_bound'( multiply( b, a
% 34.80/35.19 ), identity ) ) ] )
% 34.80/35.19 , 0, clause( 67937, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a
% 34.80/35.19 , b ), multiply( b, a ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.19 multiply( b, a ), identity ), b ) ) ] )
% 34.80/35.19 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 46947, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b )
% 34.80/35.19 , multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ), identity
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 67938, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b
% 34.80/35.19 ), multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67940, [ =( 'greatest_lower_bound'( multiply( b, a ), identity ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( a, b ), multiply( b, a )
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 46947, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b
% 34.80/35.19 ), multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67941, [ =( 'greatest_lower_bound'( multiply( b, a ), identity ),
% 34.80/35.19 'greatest_lower_bound'( 'greatest_lower_bound'( b, a ), multiply( b, a )
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 88, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 34.80/35.19 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.19 , 0, clause( 67940, [ =( 'greatest_lower_bound'( multiply( b, a ), identity
% 34.80/35.19 ), 'greatest_lower_bound'( 'greatest_lower_bound'( a, b ), multiply( b,
% 34.80/35.19 a ) ) ) ] )
% 34.80/35.19 , 0, 6, substitution( 0, [ :=( X, b ), :=( Y, a ), :=( Z, multiply( b, a )
% 34.80/35.19 )] ), substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67944, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a )
% 34.80/35.19 , multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ), identity
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 67941, [ =( 'greatest_lower_bound'( multiply( b, a ), identity )
% 34.80/35.19 , 'greatest_lower_bound'( 'greatest_lower_bound'( b, a ), multiply( b, a
% 34.80/35.19 ) ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 47062, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a )
% 34.80/35.19 , multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ), identity
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 67944, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a
% 34.80/35.19 ), multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67946, [ =( 'greatest_lower_bound'( multiply( X, inverse( Z ) ), Y
% 34.80/35.19 ), multiply( 'greatest_lower_bound'( X, multiply( Y, Z ) ), inverse( Z )
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , clause( 244, [ =( multiply( 'greatest_lower_bound'( Z, multiply( X, Y ) )
% 34.80/35.19 , inverse( Y ) ), 'greatest_lower_bound'( multiply( Z, inverse( Y ) ), X
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67949, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( b, a ), inverse( a ) ), b ), multiply(
% 34.80/35.19 'greatest_lower_bound'( multiply( b, a ), identity ), inverse( a ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , clause( 47062, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, a
% 34.80/35.19 ), multiply( b, a ) ), 'greatest_lower_bound'( multiply( b, a ),
% 34.80/35.19 identity ) ) ] )
% 34.80/35.19 , 0, clause( 67946, [ =( 'greatest_lower_bound'( multiply( X, inverse( Z )
% 34.80/35.19 ), Y ), multiply( 'greatest_lower_bound'( X, multiply( Y, Z ) ), inverse(
% 34.80/35.19 Z ) ) ) ] )
% 34.80/35.19 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.19 'greatest_lower_bound'( b, a ) ), :=( Y, b ), :=( Z, a )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67950, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( b, a ), inverse( a ) ), b ),
% 34.80/35.19 'greatest_lower_bound'( b, multiply( identity, inverse( a ) ) ) ) ] )
% 34.80/35.19 , clause( 243, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 34.80/35.19 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 34.80/35.19 ) ) ] )
% 34.80/35.19 , 0, clause( 67949, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( b, a ), inverse( a ) ), b ), multiply(
% 34.80/35.19 'greatest_lower_bound'( multiply( b, a ), identity ), inverse( a ) ) ) ]
% 34.80/35.19 )
% 34.80/35.19 , 0, 9, substitution( 0, [ :=( X, b ), :=( Y, a ), :=( Z, identity )] ),
% 34.80/35.19 substitution( 1, [] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67951, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( b, a ), inverse( a ) ), b ),
% 34.80/35.19 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.19 , 0, clause( 67950, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( b, a ), inverse( a ) ), b ),
% 34.80/35.19 'greatest_lower_bound'( b, multiply( identity, inverse( a ) ) ) ) ] )
% 34.80/35.19 , 0, 11, substitution( 0, [ :=( X, inverse( a ) )] ), substitution( 1, [] )
% 34.80/35.19 ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 subsumption(
% 34.80/35.19 clause( 47072, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( b, a ), inverse( a ) ), b ),
% 34.80/35.19 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.19 , clause( 67951, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.19 'greatest_lower_bound'( b, a ), inverse( a ) ), b ),
% 34.80/35.19 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 eqswap(
% 34.80/35.19 clause( 67954, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ), Z
% 34.80/35.19 ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), Z ) ) ) ] )
% 34.80/35.19 , clause( 1223, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), Z
% 34.80/35.19 ) ), multiply( 'least_upper_bound'( multiply( X, Y ), X ), Z ) ) ] )
% 34.80/35.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67958, [ =( multiply( 'least_upper_bound'( inverse(
% 34.80/35.19 'least_upper_bound'( identity, inverse( X ) ) ), inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ) ), Y ), multiply( inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( multiply( X, Y
% 34.80/35.19 ), Y ) ) ) ] )
% 34.80/35.19 , clause( 3650, [ =( multiply( inverse( 'least_upper_bound'( X, identity )
% 34.80/35.19 ), X ), inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 34.80/35.19 , 0, clause( 67954, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X
% 34.80/35.19 ), Z ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), Z ) ) ) ] )
% 34.80/35.19 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67961, [ =( multiply( identity, Y ), multiply( inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( multiply( X, Y
% 34.80/35.19 ), Y ) ) ) ] )
% 34.80/35.19 , clause( 15998, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 34.80/35.19 identity, inverse( X ) ) ), inverse( 'least_upper_bound'( X, identity ) )
% 34.80/35.19 ), identity ) ] )
% 34.80/35.19 , 0, clause( 67958, [ =( multiply( 'least_upper_bound'( inverse(
% 34.80/35.19 'least_upper_bound'( identity, inverse( X ) ) ), inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ) ), Y ), multiply( inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( multiply( X, Y
% 34.80/35.19 ), Y ) ) ) ] )
% 34.80/35.19 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 34.80/35.19 :=( Y, Y )] )).
% 34.80/35.19
% 34.80/35.19
% 34.80/35.19 paramod(
% 34.80/35.19 clause( 67962, [ =( X, multiply( inverse( 'least_upper_bound'( Y, identity
% 34.80/35.19 ) ), 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 34.80/35.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.19 , 0, clause( 67961, [ =( multiply( identity, Y ), multiply( inverse(
% 34.80/35.19 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( multiply( X, Y
% 34.80/35.20 ), Y ) ) ) ] )
% 34.80/35.20 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 34.80/35.20 :=( Y, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 67963, [ =( multiply( inverse( 'least_upper_bound'( Y, identity ) )
% 34.80/35.20 , 'least_upper_bound'( multiply( Y, X ), X ) ), X ) ] )
% 34.80/35.20 , clause( 67962, [ =( X, multiply( inverse( 'least_upper_bound'( Y,
% 34.80/35.20 identity ) ), 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 49519, [ =( multiply( inverse( 'least_upper_bound'( X, identity ) )
% 34.80/35.20 , 'least_upper_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 34.80/35.20 , clause( 67963, [ =( multiply( inverse( 'least_upper_bound'( Y, identity )
% 34.80/35.20 ), 'least_upper_bound'( multiply( Y, X ), X ) ), X ) ] )
% 34.80/35.20 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 34.80/35.20 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 67965, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 34.80/35.20 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , clause( 1757, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 34.80/35.20 ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67972, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b,
% 34.80/35.20 inverse( a ) ) ), 'greatest_lower_bound'( identity, multiply( inverse( b
% 34.80/35.20 ), multiply( 'greatest_lower_bound'( b, a ), inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , clause( 47072, [ =( 'greatest_lower_bound'( multiply(
% 34.80/35.20 'greatest_lower_bound'( b, a ), inverse( a ) ), b ),
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , 0, clause( 67965, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y
% 34.80/35.20 , X ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) )
% 34.80/35.20 ) ] )
% 34.80/35.20 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 34.80/35.20 multiply( 'greatest_lower_bound'( b, a ), inverse( a ) ) )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67973, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b,
% 34.80/35.20 inverse( a ) ) ), 'greatest_lower_bound'( identity, multiply( multiply(
% 34.80/35.20 inverse( b ), 'greatest_lower_bound'( b, a ) ), inverse( a ) ) ) ) ] )
% 34.80/35.20 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.80/35.20 ), Z ) ) ] )
% 34.80/35.20 , 0, clause( 67972, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b
% 34.80/35.20 , inverse( a ) ) ), 'greatest_lower_bound'( identity, multiply( inverse(
% 34.80/35.20 b ), multiply( 'greatest_lower_bound'( b, a ), inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , 0, 10, substitution( 0, [ :=( X, inverse( b ) ), :=( Y,
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), :=( Z, inverse( a ) )] ),
% 34.80/35.20 substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67974, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b,
% 34.80/35.20 inverse( a ) ) ), 'greatest_lower_bound'( identity, inverse( multiply(
% 34.80/35.20 multiply( a, inverse( 'greatest_lower_bound'( b, a ) ) ), b ) ) ) ) ] )
% 34.80/35.20 , clause( 270, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 34.80/35.20 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 34.80/35.20 , 0, clause( 67973, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b
% 34.80/35.20 , inverse( a ) ) ), 'greatest_lower_bound'( identity, multiply( multiply(
% 34.80/35.20 inverse( b ), 'greatest_lower_bound'( b, a ) ), inverse( a ) ) ) ) ] )
% 34.80/35.20 , 0, 10, substitution( 0, [ :=( X, a ), :=( Y, 'greatest_lower_bound'( b, a
% 34.80/35.20 ) ), :=( Z, b )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67975, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b,
% 34.80/35.20 inverse( a ) ) ), 'greatest_lower_bound'( identity,
% 34.80/35.20 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ) ] )
% 34.80/35.20 , clause( 9137, [ =( inverse( multiply( multiply( Y, inverse(
% 34.80/35.20 'greatest_lower_bound'( X, Y ) ) ), X ) ), 'greatest_lower_bound'(
% 34.80/35.20 inverse( Y ), inverse( X ) ) ) ] )
% 34.80/35.20 , 0, clause( 67974, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b
% 34.80/35.20 , inverse( a ) ) ), 'greatest_lower_bound'( identity, inverse( multiply(
% 34.80/35.20 multiply( a, inverse( 'greatest_lower_bound'( b, a ) ) ), b ) ) ) ) ] )
% 34.80/35.20 , 0, 10, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67976, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b,
% 34.80/35.20 inverse( a ) ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.20 identity, inverse( a ) ), inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 34.80/35.20 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 34.80/35.20 , 0, clause( 67975, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b
% 34.80/35.20 , inverse( a ) ) ), 'greatest_lower_bound'( identity,
% 34.80/35.20 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ) ] )
% 34.80/35.20 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, inverse( a ) ), :=( Z
% 34.80/35.20 , inverse( b ) )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67977, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b,
% 34.80/35.20 inverse( a ) ) ), 'greatest_lower_bound'( inverse( a ), inverse( b ) ) )
% 34.80/35.20 ] )
% 34.80/35.20 , clause( 16387, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.20 identity, inverse( a ) ), inverse( b ) ), 'greatest_lower_bound'( inverse(
% 34.80/35.20 a ), inverse( b ) ) ) ] )
% 34.80/35.20 , 0, clause( 67976, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b
% 34.80/35.20 , inverse( a ) ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 34.80/35.20 identity, inverse( a ) ), inverse( b ) ) ) ] )
% 34.80/35.20 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67978, [ =( 'greatest_lower_bound'( identity, inverse( multiply( a
% 34.80/35.20 , b ) ) ), 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 1764, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 34.80/35.20 inverse( Y ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( Y
% 34.80/35.20 , X ) ) ) ) ] )
% 34.80/35.20 , 0, clause( 67977, [ =( multiply( inverse( b ), 'greatest_lower_bound'( b
% 34.80/35.20 , inverse( a ) ) ), 'greatest_lower_bound'( inverse( a ), inverse( b ) )
% 34.80/35.20 ) ] )
% 34.80/35.20 , 0, 1, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 50422, [ =( 'greatest_lower_bound'( identity, inverse( multiply( a
% 34.80/35.20 , b ) ) ), 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 67978, [ =( 'greatest_lower_bound'( identity, inverse( multiply(
% 34.80/35.20 a, b ) ) ), 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 67981, [ =( 'greatest_lower_bound'( multiply( X, Y ), inverse( Z )
% 34.80/35.20 ), multiply( X, 'greatest_lower_bound'( Y, inverse( multiply( Z, X ) ) )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 260, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse(
% 34.80/35.20 multiply( Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse(
% 34.80/35.20 Y ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67984, [ =( 'greatest_lower_bound'( multiply( b, identity ),
% 34.80/35.20 inverse( a ) ), multiply( b, 'greatest_lower_bound'( inverse( a ),
% 34.80/35.20 inverse( b ) ) ) ) ] )
% 34.80/35.20 , clause( 50422, [ =( 'greatest_lower_bound'( identity, inverse( multiply(
% 34.80/35.20 a, b ) ) ), 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ] )
% 34.80/35.20 , 0, clause( 67981, [ =( 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 34.80/35.20 Z ) ), multiply( X, 'greatest_lower_bound'( Y, inverse( multiply( Z, X )
% 34.80/35.20 ) ) ) ) ] )
% 34.80/35.20 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 34.80/35.20 identity ), :=( Z, a )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67985, [ =( 'greatest_lower_bound'( multiply( b, identity ),
% 34.80/35.20 inverse( a ) ), 'greatest_lower_bound'( multiply( b, inverse( a ) ),
% 34.80/35.20 identity ) ) ] )
% 34.80/35.20 , clause( 239, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) )
% 34.80/35.20 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 34.80/35.20 , 0, clause( 67984, [ =( 'greatest_lower_bound'( multiply( b, identity ),
% 34.80/35.20 inverse( a ) ), multiply( b, 'greatest_lower_bound'( inverse( a ),
% 34.80/35.20 inverse( b ) ) ) ) ] )
% 34.80/35.20 , 0, 7, substitution( 0, [ :=( X, b ), :=( Y, inverse( a ) )] ),
% 34.80/35.20 substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67986, [ =( 'greatest_lower_bound'( b, inverse( a ) ),
% 34.80/35.20 'greatest_lower_bound'( multiply( b, inverse( a ) ), identity ) ) ] )
% 34.80/35.20 , clause( 217, [ =( multiply( X, identity ), X ) ] )
% 34.80/35.20 , 0, clause( 67985, [ =( 'greatest_lower_bound'( multiply( b, identity ),
% 34.80/35.20 inverse( a ) ), 'greatest_lower_bound'( multiply( b, inverse( a ) ),
% 34.80/35.20 identity ) ) ] )
% 34.80/35.20 , 0, 2, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 67987, [ =( 'greatest_lower_bound'( multiply( b, inverse( a ) ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 67986, [ =( 'greatest_lower_bound'( b, inverse( a ) ),
% 34.80/35.20 'greatest_lower_bound'( multiply( b, inverse( a ) ), identity ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 50597, [ =( 'greatest_lower_bound'( multiply( b, inverse( a ) ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 67987, [ =( 'greatest_lower_bound'( multiply( b, inverse( a ) ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 67989, [ =( 'greatest_lower_bound'( multiply( X, Y ), inverse( Z )
% 34.80/35.20 ), multiply( 'greatest_lower_bound'( X, inverse( multiply( Y, Z ) ) ), Y
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 252, [ =( multiply( 'greatest_lower_bound'( Z, inverse( multiply(
% 34.80/35.20 X, Y ) ) ), X ), 'greatest_lower_bound'( multiply( Z, X ), inverse( Y ) )
% 34.80/35.20 ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67992, [ =( 'greatest_lower_bound'( multiply( identity, a ),
% 34.80/35.20 inverse( b ) ), multiply( 'greatest_lower_bound'( inverse( a ), inverse(
% 34.80/35.20 b ) ), a ) ) ] )
% 34.80/35.20 , clause( 50422, [ =( 'greatest_lower_bound'( identity, inverse( multiply(
% 34.80/35.20 a, b ) ) ), 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ] )
% 34.80/35.20 , 0, clause( 67989, [ =( 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 34.80/35.20 Z ) ), multiply( 'greatest_lower_bound'( X, inverse( multiply( Y, Z ) ) )
% 34.80/35.20 , Y ) ) ] )
% 34.80/35.20 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 34.80/35.20 , a ), :=( Z, b )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67993, [ =( 'greatest_lower_bound'( multiply( identity, a ),
% 34.80/35.20 inverse( b ) ), 'greatest_lower_bound'( identity, multiply( inverse( b )
% 34.80/35.20 , a ) ) ) ] )
% 34.80/35.20 , clause( 147, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X
% 34.80/35.20 ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 34.80/35.20 , 0, clause( 67992, [ =( 'greatest_lower_bound'( multiply( identity, a ),
% 34.80/35.20 inverse( b ) ), multiply( 'greatest_lower_bound'( inverse( a ), inverse(
% 34.80/35.20 b ) ), a ) ) ] )
% 34.80/35.20 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, inverse( b ) )] ),
% 34.80/35.20 substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67994, [ =( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.20 'greatest_lower_bound'( identity, multiply( inverse( b ), a ) ) ) ] )
% 34.80/35.20 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.20 , 0, clause( 67993, [ =( 'greatest_lower_bound'( multiply( identity, a ),
% 34.80/35.20 inverse( b ) ), 'greatest_lower_bound'( identity, multiply( inverse( b )
% 34.80/35.20 , a ) ) ) ] )
% 34.80/35.20 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 67995, [ =( 'greatest_lower_bound'( identity, multiply( inverse( b
% 34.80/35.20 ), a ) ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 67994, [ =( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.20 'greatest_lower_bound'( identity, multiply( inverse( b ), a ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 50598, [ =( 'greatest_lower_bound'( identity, multiply( inverse( b
% 34.80/35.20 ), a ) ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 67995, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 34.80/35.20 b ), a ) ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 67997, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 34.80/35.20 , X ) ) ] )
% 34.80/35.20 , clause( 38, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 34.80/35.20 , X ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 67998, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.20 inverse( a ), inverse( b ) ), identity ) ) ] )
% 34.80/35.20 , clause( 50422, [ =( 'greatest_lower_bound'( identity, inverse( multiply(
% 34.80/35.20 a, b ) ) ), 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ] )
% 34.80/35.20 , 0, clause( 67997, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 34.80/35.20 , Y ), X ) ) ] )
% 34.80/35.20 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 34.80/35.20 , inverse( multiply( a, b ) ) )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 67999, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse( a
% 34.80/35.20 ), inverse( b ) ), identity ), identity ) ] )
% 34.80/35.20 , clause( 67998, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.20 inverse( a ), inverse( b ) ), identity ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 50636, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse( a
% 34.80/35.20 ), inverse( b ) ), identity ), identity ) ] )
% 34.80/35.20 , clause( 67999, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 34.80/35.20 a ), inverse( b ) ), identity ), identity ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68001, [ =( identity, multiply( inverse( 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( X, Y ), Z ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( Y, X ), Z ) ) ) ] )
% 34.80/35.20 , clause( 933, [ =( multiply( inverse( 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( Z, Y ), X ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( Y, Z ), X ) ), identity ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68004, [ =( identity, multiply( inverse( identity ),
% 34.80/35.20 'least_upper_bound'( 'greatest_lower_bound'( inverse( b ), inverse( a ) )
% 34.80/35.20 , identity ) ) ) ] )
% 34.80/35.20 , clause( 50636, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 34.80/35.20 a ), inverse( b ) ), identity ), identity ) ] )
% 34.80/35.20 , 0, clause( 68001, [ =( identity, multiply( inverse( 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( X, Y ), Z ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( Y, X ), Z ) ) ) ] )
% 34.80/35.20 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( a ) ),
% 34.80/35.20 :=( Y, inverse( b ) ), :=( Z, identity )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68006, [ =( identity, multiply( identity, 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( inverse( b ), inverse( a ) ), identity ) ) ) ] )
% 34.80/35.20 , clause( 161, [ =( inverse( identity ), identity ) ] )
% 34.80/35.20 , 0, clause( 68004, [ =( identity, multiply( inverse( identity ),
% 34.80/35.20 'least_upper_bound'( 'greatest_lower_bound'( inverse( b ), inverse( a ) )
% 34.80/35.20 , identity ) ) ) ] )
% 34.80/35.20 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68007, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.20 inverse( b ), inverse( a ) ), identity ) ) ] )
% 34.80/35.20 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.20 , 0, clause( 68006, [ =( identity, multiply( identity, 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( inverse( b ), inverse( a ) ), identity ) ) ) ] )
% 34.80/35.20 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( inverse( b ), inverse( a ) ), identity ) )] ),
% 34.80/35.20 substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68008, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse( b
% 34.80/35.20 ), inverse( a ) ), identity ), identity ) ] )
% 34.80/35.20 , clause( 68007, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.20 inverse( b ), inverse( a ) ), identity ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 50643, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse( b
% 34.80/35.20 ), inverse( a ) ), identity ), identity ) ] )
% 34.80/35.20 , clause( 68008, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 34.80/35.20 b ), inverse( a ) ), identity ), identity ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68010, [ =( Y, multiply( inverse( 'least_upper_bound'( X, identity
% 34.80/35.20 ) ), 'least_upper_bound'( multiply( X, Y ), Y ) ) ) ] )
% 34.80/35.20 , clause( 49519, [ =( multiply( inverse( 'least_upper_bound'( X, identity )
% 34.80/35.20 ), 'least_upper_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68013, [ =( X, multiply( inverse( identity ), 'least_upper_bound'(
% 34.80/35.20 multiply( 'greatest_lower_bound'( inverse( b ), inverse( a ) ), X ), X )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 50643, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 34.80/35.20 b ), inverse( a ) ), identity ), identity ) ] )
% 34.80/35.20 , 0, clause( 68010, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 34.80/35.20 identity ) ), 'least_upper_bound'( multiply( X, Y ), Y ) ) ) ] )
% 34.80/35.20 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X,
% 34.80/35.20 'greatest_lower_bound'( inverse( b ), inverse( a ) ) ), :=( Y, X )] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68014, [ =( X, multiply( identity, 'least_upper_bound'( multiply(
% 34.80/35.20 'greatest_lower_bound'( inverse( b ), inverse( a ) ), X ), X ) ) ) ] )
% 34.80/35.20 , clause( 161, [ =( inverse( identity ), identity ) ] )
% 34.80/35.20 , 0, clause( 68013, [ =( X, multiply( inverse( identity ),
% 34.80/35.20 'least_upper_bound'( multiply( 'greatest_lower_bound'( inverse( b ),
% 34.80/35.20 inverse( a ) ), X ), X ) ) ) ] )
% 34.80/35.20 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68015, [ =( X, 'least_upper_bound'( multiply(
% 34.80/35.20 'greatest_lower_bound'( inverse( b ), inverse( a ) ), X ), X ) ) ] )
% 34.80/35.20 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.20 , 0, clause( 68014, [ =( X, multiply( identity, 'least_upper_bound'(
% 34.80/35.20 multiply( 'greatest_lower_bound'( inverse( b ), inverse( a ) ), X ), X )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( multiply(
% 34.80/35.20 'greatest_lower_bound'( inverse( b ), inverse( a ) ), X ), X ) )] ),
% 34.80/35.20 substitution( 1, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68016, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 34.80/35.20 inverse( b ), inverse( a ) ), X ), X ), X ) ] )
% 34.80/35.20 , clause( 68015, [ =( X, 'least_upper_bound'( multiply(
% 34.80/35.20 'greatest_lower_bound'( inverse( b ), inverse( a ) ), X ), X ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 50670, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 34.80/35.20 inverse( b ), inverse( a ) ), X ), X ), X ) ] )
% 34.80/35.20 , clause( 68016, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 34.80/35.20 inverse( b ), inverse( a ) ), X ), X ), X ) ] )
% 34.80/35.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68018, [ =( 'greatest_lower_bound'( X, multiply( Z, Y ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( multiply( X, inverse( Y ) ), Z ), Y ) ) ] )
% 34.80/35.20 , clause( 1039, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 34.80/35.20 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68021, [ =( 'greatest_lower_bound'( b, multiply( identity, a ) ),
% 34.80/35.20 multiply( 'greatest_lower_bound'( b, inverse( a ) ), a ) ) ] )
% 34.80/35.20 , clause( 50597, [ =( 'greatest_lower_bound'( multiply( b, inverse( a ) ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , 0, clause( 68018, [ =( 'greatest_lower_bound'( X, multiply( Z, Y ) ),
% 34.80/35.20 multiply( 'greatest_lower_bound'( multiply( X, inverse( Y ) ), Z ), Y ) )
% 34.80/35.20 ] )
% 34.80/35.20 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a ),
% 34.80/35.20 :=( Z, identity )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68022, [ =( 'greatest_lower_bound'( b, multiply( identity, a ) ),
% 34.80/35.20 'greatest_lower_bound'( multiply( b, a ), identity ) ) ] )
% 34.80/35.20 , clause( 148, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X
% 34.80/35.20 ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 34.80/35.20 , 0, clause( 68021, [ =( 'greatest_lower_bound'( b, multiply( identity, a )
% 34.80/35.20 ), multiply( 'greatest_lower_bound'( b, inverse( a ) ), a ) ) ] )
% 34.80/35.20 , 0, 6, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68023, [ =( 'greatest_lower_bound'( b, a ), 'greatest_lower_bound'(
% 34.80/35.20 multiply( b, a ), identity ) ) ] )
% 34.80/35.20 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.20 , 0, clause( 68022, [ =( 'greatest_lower_bound'( b, multiply( identity, a )
% 34.80/35.20 ), 'greatest_lower_bound'( multiply( b, a ), identity ) ) ] )
% 34.80/35.20 , 0, 3, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68024, [ =( 'greatest_lower_bound'( multiply( b, a ), identity ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , clause( 68023, [ =( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 'greatest_lower_bound'( multiply( b, a ), identity ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 50756, [ =( 'greatest_lower_bound'( multiply( b, a ), identity ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , clause( 68024, [ =( 'greatest_lower_bound'( multiply( b, a ), identity )
% 34.80/35.20 , 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68025, [ =( 'greatest_lower_bound'( b, inverse( a ) ),
% 34.80/35.20 'greatest_lower_bound'( multiply( b, inverse( a ) ), identity ) ) ] )
% 34.80/35.20 , clause( 50597, [ =( 'greatest_lower_bound'( multiply( b, inverse( a ) ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68027, [ =( 'greatest_lower_bound'( b, inverse( a ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( b, a ), inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 235, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 34.80/35.20 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, clause( 68025, [ =( 'greatest_lower_bound'( b, inverse( a ) ),
% 34.80/35.20 'greatest_lower_bound'( multiply( b, inverse( a ) ), identity ) ) ] )
% 34.80/35.20 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68028, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse( a )
% 34.80/35.20 ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 68027, [ =( 'greatest_lower_bound'( b, inverse( a ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( b, a ), inverse( a ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 50793, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse( a )
% 34.80/35.20 ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 68028, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse( a
% 34.80/35.20 ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68030, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 34.80/35.20 , clause( 3678, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68031, [ =( multiply( b, a ), multiply( 'greatest_lower_bound'( b,
% 34.80/35.20 a ), inverse( 'greatest_lower_bound'( inverse( multiply( b, a ) ),
% 34.80/35.20 identity ) ) ) ) ] )
% 34.80/35.20 , clause( 50756, [ =( 'greatest_lower_bound'( multiply( b, a ), identity )
% 34.80/35.20 , 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , 0, clause( 68030, [ =( X, multiply( 'greatest_lower_bound'( X, identity )
% 34.80/35.20 , inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 34.80/35.20 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( b, a ) )] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68032, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse(
% 34.80/35.20 'greatest_lower_bound'( inverse( multiply( b, a ) ), identity ) ) ),
% 34.80/35.20 multiply( b, a ) ) ] )
% 34.80/35.20 , clause( 68031, [ =( multiply( b, a ), multiply( 'greatest_lower_bound'( b
% 34.80/35.20 , a ), inverse( 'greatest_lower_bound'( inverse( multiply( b, a ) ),
% 34.80/35.20 identity ) ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 50904, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse(
% 34.80/35.20 'greatest_lower_bound'( inverse( multiply( b, a ) ), identity ) ) ),
% 34.80/35.20 multiply( b, a ) ) ] )
% 34.80/35.20 , clause( 68032, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse(
% 34.80/35.20 'greatest_lower_bound'( inverse( multiply( b, a ) ), identity ) ) ),
% 34.80/35.20 multiply( b, a ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68034, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 34.80/35.20 , X ) ) ] )
% 34.80/35.20 , clause( 38, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 34.80/35.20 , X ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68035, [ =( multiply( b, a ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( b, a ), multiply( b, a ) ) ) ] )
% 34.80/35.20 , clause( 50756, [ =( 'greatest_lower_bound'( multiply( b, a ), identity )
% 34.80/35.20 , 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , 0, clause( 68034, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 34.80/35.20 , Y ), X ) ) ] )
% 34.80/35.20 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( b, a ) )
% 34.80/35.20 , :=( Y, identity )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68036, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 multiply( b, a ) ), multiply( b, a ) ) ] )
% 34.80/35.20 , clause( 68035, [ =( multiply( b, a ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( b, a ), multiply( b, a ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 50946, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 multiply( b, a ) ), multiply( b, a ) ) ] )
% 34.80/35.20 , clause( 68036, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 multiply( b, a ) ), multiply( b, a ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68038, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), Z ),
% 34.80/35.20 multiply( inverse( X ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , clause( 1256, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 34.80/35.20 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68042, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), a ), multiply( inverse( b ), multiply(
% 34.80/35.20 b, a ) ) ) ] )
% 34.80/35.20 , clause( 50946, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 multiply( b, a ) ), multiply( b, a ) ) ] )
% 34.80/35.20 , 0, clause( 68038, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 34.80/35.20 Z ), multiply( inverse( X ), 'least_upper_bound'( Y, multiply( X, Z ) ) )
% 34.80/35.20 ) ] )
% 34.80/35.20 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), :=( Z, a )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68043, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), a ), multiply( multiply( inverse( b ),
% 34.80/35.20 b ), a ) ) ] )
% 34.80/35.20 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 34.80/35.20 ), Z ) ) ] )
% 34.80/35.20 , 0, clause( 68042, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), a ), multiply( inverse( b ), multiply(
% 34.80/35.20 b, a ) ) ) ] )
% 34.80/35.20 , 0, 9, substitution( 0, [ :=( X, inverse( b ) ), :=( Y, b ), :=( Z, a )] )
% 34.80/35.20 , substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68044, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), a ), multiply( identity, a ) ) ] )
% 34.80/35.20 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 34.80/35.20 , 0, clause( 68043, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), a ), multiply( multiply( inverse( b ),
% 34.80/35.20 b ), a ) ) ] )
% 34.80/35.20 , 0, 10, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68045, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), a ), a ) ] )
% 34.80/35.20 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.20 , 0, clause( 68044, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), a ), multiply( identity, a ) ) ] )
% 34.80/35.20 , 0, 9, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 51125, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), a ), a ) ] )
% 34.80/35.20 , clause( 68045, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), a ), a ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68048, [ =( 'least_upper_bound'( a, X ), 'least_upper_bound'(
% 34.80/35.20 'least_upper_bound'( X, a ), 'greatest_lower_bound'( identity, multiply(
% 34.80/35.20 a, b ) ) ) ) ] )
% 34.80/35.20 , clause( 4600, [ =( 'least_upper_bound'( 'least_upper_bound'( X, a ),
% 34.80/35.20 'greatest_lower_bound'( identity, multiply( a, b ) ) ),
% 34.80/35.20 'least_upper_bound'( a, X ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68050, [ =( 'least_upper_bound'( a, multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ), 'least_upper_bound'( a,
% 34.80/35.20 'greatest_lower_bound'( identity, multiply( a, b ) ) ) ) ] )
% 34.80/35.20 , clause( 51125, [ =( 'least_upper_bound'( multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), a ), a ) ] )
% 34.80/35.20 , 0, clause( 68048, [ =( 'least_upper_bound'( a, X ), 'least_upper_bound'(
% 34.80/35.20 'least_upper_bound'( X, a ), 'greatest_lower_bound'( identity, multiply(
% 34.80/35.20 a, b ) ) ) ) ] )
% 34.80/35.20 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( inverse(
% 34.80/35.20 b ), 'greatest_lower_bound'( b, a ) ) )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68051, [ =( 'least_upper_bound'( a, multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ), a ) ] )
% 34.80/35.20 , clause( 4592, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.20 identity, multiply( a, b ) ) ), a ) ] )
% 34.80/35.20 , 0, clause( 68050, [ =( 'least_upper_bound'( a, multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ), 'least_upper_bound'( a,
% 34.80/35.20 'greatest_lower_bound'( identity, multiply( a, b ) ) ) ) ] )
% 34.80/35.20 , 0, 9, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 51173, [ =( 'least_upper_bound'( a, multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ), a ) ] )
% 34.80/35.20 , clause( 68051, [ =( 'least_upper_bound'( a, multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ), a ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68054, [ =( a, 'least_upper_bound'( a, multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ) ) ] )
% 34.80/35.20 , clause( 51173, [ =( 'least_upper_bound'( a, multiply( inverse( b ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ), a ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68055, [ =( a, 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.20 multiply( inverse( b ), a ), identity ) ) ) ] )
% 34.80/35.20 , clause( 1770, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 34.80/35.20 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, clause( 68054, [ =( a, 'least_upper_bound'( a, multiply( inverse( b )
% 34.80/35.20 , 'greatest_lower_bound'( b, a ) ) ) ) ] )
% 34.80/35.20 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68056, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.20 multiply( inverse( b ), a ), identity ) ), a ) ] )
% 34.80/35.20 , clause( 68055, [ =( a, 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.20 multiply( inverse( b ), a ), identity ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 51248, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.20 multiply( inverse( b ), a ), identity ) ), a ) ] )
% 34.80/35.20 , clause( 68056, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.20 multiply( inverse( b ), a ), identity ) ), a ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68058, [ =( 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'(
% 34.80/35.20 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'(
% 34.80/35.20 Z, 'greatest_lower_bound'( Y, X ) ), T ) ) ) ] )
% 34.80/35.20 , clause( 804, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 34.80/35.20 , 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X
% 34.80/35.20 , Y ) ), T ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68061, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity,
% 34.80/35.20 multiply( inverse( b ), a ) ), 'least_upper_bound'( a, X ) ) ) ] )
% 34.80/35.20 , clause( 51248, [ =( 'least_upper_bound'( a, 'greatest_lower_bound'(
% 34.80/35.20 multiply( inverse( b ), a ), identity ) ), a ) ] )
% 34.80/35.20 , 0, clause( 68058, [ =( 'greatest_lower_bound'( Y, X ),
% 34.80/35.20 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.20 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X
% 34.80/35.20 ) ), T ) ) ) ] )
% 34.80/35.20 , 0, 15, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 34.80/35.20 , multiply( inverse( b ), a ) ), :=( Z, a ), :=( T, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68062, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( 'greatest_lower_bound'( a, inverse( b
% 34.80/35.20 ) ), 'least_upper_bound'( a, X ) ) ) ] )
% 34.80/35.20 , clause( 50598, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 34.80/35.20 b ), a ) ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , 0, clause( 68061, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a
% 34.80/35.20 ), identity ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 34.80/35.20 , multiply( inverse( b ), a ) ), 'least_upper_bound'( a, X ) ) ) ] )
% 34.80/35.20 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68063, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 126, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 34.80/35.20 , 'least_upper_bound'( X, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.20 , 0, clause( 68062, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a
% 34.80/35.20 ), identity ), 'greatest_lower_bound'( 'greatest_lower_bound'( a,
% 34.80/35.20 inverse( b ) ), 'least_upper_bound'( a, X ) ) ) ] )
% 34.80/35.20 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, inverse( b ) ), :=( Z, X )] )
% 34.80/35.20 , substitution( 1, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 51364, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 68063, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68066, [ =( X, 'least_upper_bound'( multiply(
% 34.80/35.20 'greatest_lower_bound'( inverse( b ), inverse( a ) ), X ), X ) ) ] )
% 34.80/35.20 , clause( 50670, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 34.80/35.20 inverse( b ), inverse( a ) ), X ), X ), X ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68070, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( multiply( inverse( a ), inverse( inverse( b ) ) )
% 34.80/35.20 , identity ), inverse( inverse( b ) ) ) ) ] )
% 34.80/35.20 , clause( 3616, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 34.80/35.20 ), 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, clause( 68066, [ =( X, 'least_upper_bound'( multiply(
% 34.80/35.20 'greatest_lower_bound'( inverse( b ), inverse( a ) ), X ), X ) ) ] )
% 34.80/35.20 , 0, 5, substitution( 0, [ :=( X, inverse( b ) ), :=( Y, inverse( a ) )] )
% 34.80/35.20 , substitution( 1, [ :=( X, inverse( inverse( b ) ) )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68071, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( inverse( multiply( inverse( b ), a ) ), identity
% 34.80/35.20 ), inverse( inverse( b ) ) ) ) ] )
% 34.80/35.20 , clause( 249, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 34.80/35.20 multiply( X, Y ) ) ) ] )
% 34.80/35.20 , 0, clause( 68070, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( multiply( inverse( a ), inverse( inverse( b ) ) )
% 34.80/35.20 , identity ), inverse( inverse( b ) ) ) ) ] )
% 34.80/35.20 , 0, 6, substitution( 0, [ :=( X, inverse( b ) ), :=( Y, a )] ),
% 34.80/35.20 substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68072, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( multiply( inverse( a ), b ), identity ), inverse(
% 34.80/35.20 inverse( b ) ) ) ) ] )
% 34.80/35.20 , clause( 250, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 34.80/35.20 inverse( Y ), X ) ) ] )
% 34.80/35.20 , 0, clause( 68071, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( inverse( multiply( inverse( b ), a ) ), identity
% 34.80/35.20 ), inverse( inverse( b ) ) ) ) ] )
% 34.80/35.20 , 0, 6, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68074, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( multiply( inverse( a ), b ), identity ), b ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.20 , 0, clause( 68072, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( multiply( inverse( a ), b ), identity ), inverse(
% 34.80/35.20 inverse( b ) ) ) ) ] )
% 34.80/35.20 , 0, 11, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68075, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.20 multiply( inverse( a ), b ), identity ), b ) ) ] )
% 34.80/35.20 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.20 , 0, clause( 68074, [ =( inverse( inverse( b ) ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( multiply( inverse( a ), b ), identity ), b ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, 1, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68077, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.20 inverse( a ), b ), identity ), b ), b ) ] )
% 34.80/35.20 , clause( 68075, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.20 multiply( inverse( a ), b ), identity ), b ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 51561, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.20 inverse( a ), b ), identity ), b ), b ) ] )
% 34.80/35.20 , clause( 68077, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.20 inverse( a ), b ), identity ), b ), b ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68080, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.20 multiply( inverse( a ), b ), identity ), b ) ) ] )
% 34.80/35.20 , clause( 51561, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 34.80/35.20 inverse( a ), b ), identity ), b ), b ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68081, [ =( b, 'least_upper_bound'( multiply( inverse( a ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), b ) ) ] )
% 34.80/35.20 , clause( 75, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 34.80/35.20 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, clause( 68080, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 34.80/35.20 multiply( inverse( a ), b ), identity ), b ) ) ] )
% 34.80/35.20 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68082, [ =( 'least_upper_bound'( multiply( inverse( a ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), b ), b ) ] )
% 34.80/35.20 , clause( 68081, [ =( b, 'least_upper_bound'( multiply( inverse( a ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), b ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 51683, [ =( 'least_upper_bound'( multiply( inverse( a ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), b ), b ) ] )
% 34.80/35.20 , clause( 68082, [ =( 'least_upper_bound'( multiply( inverse( a ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), b ), b ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68084, [ =( 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ),
% 34.80/35.20 multiply( inverse( X ), 'least_upper_bound'( multiply( X, Y ), Z ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , clause( 1224, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 34.80/35.20 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68086, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 multiply( inverse( inverse( a ) ), b ) ), multiply( inverse( inverse( a )
% 34.80/35.20 ), b ) ) ] )
% 34.80/35.20 , clause( 51683, [ =( 'least_upper_bound'( multiply( inverse( a ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ), b ), b ) ] )
% 34.80/35.20 , 0, clause( 68084, [ =( 'least_upper_bound'( Y, multiply( inverse( X ), Z
% 34.80/35.20 ) ), multiply( inverse( X ), 'least_upper_bound'( multiply( X, Y ), Z )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( a ) ),
% 34.80/35.20 :=( Y, 'greatest_lower_bound'( b, a ) ), :=( Z, b )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68088, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 multiply( inverse( inverse( a ) ), b ) ), multiply( a, b ) ) ] )
% 34.80/35.20 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.20 , 0, clause( 68086, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a
% 34.80/35.20 ), multiply( inverse( inverse( a ) ), b ) ), multiply( inverse( inverse(
% 34.80/35.20 a ) ), b ) ) ] )
% 34.80/35.20 , 0, 11, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68089, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 multiply( a, b ) ), multiply( a, b ) ) ] )
% 34.80/35.20 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 34.80/35.20 , 0, clause( 68088, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a
% 34.80/35.20 ), multiply( inverse( inverse( a ) ), b ) ), multiply( a, b ) ) ] )
% 34.80/35.20 , 0, 6, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 51877, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 multiply( a, b ) ), multiply( a, b ) ) ] )
% 34.80/35.20 , clause( 68089, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 multiply( a, b ) ), multiply( a, b ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68094, [ =( 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'(
% 34.80/35.20 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 34.80/35.20 'greatest_lower_bound'( Y, X ), Z ) ) ) ] )
% 34.80/35.20 , clause( 674, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 34.80/35.20 , 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 34.80/35.20 'greatest_lower_bound'( X, Y ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68096, [ =( 'greatest_lower_bound'( b, a ), 'greatest_lower_bound'(
% 34.80/35.20 'greatest_lower_bound'( a, b ), multiply( a, b ) ) ) ] )
% 34.80/35.20 , clause( 51877, [ =( 'least_upper_bound'( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 multiply( a, b ) ), multiply( a, b ) ) ] )
% 34.80/35.20 , 0, clause( 68094, [ =( 'greatest_lower_bound'( Y, X ),
% 34.80/35.20 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 34.80/35.20 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ) ] )
% 34.80/35.20 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ),
% 34.80/35.20 :=( Z, multiply( a, b ) )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68097, [ =( 'greatest_lower_bound'( b, a ), 'greatest_lower_bound'(
% 34.80/35.20 multiply( a, b ), identity ) ) ] )
% 34.80/35.20 , clause( 46926, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, b
% 34.80/35.20 ), multiply( a, b ) ), 'greatest_lower_bound'( multiply( a, b ),
% 34.80/35.20 identity ) ) ] )
% 34.80/35.20 , 0, clause( 68096, [ =( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 'greatest_lower_bound'( 'greatest_lower_bound'( a, b ), multiply( a, b )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68098, [ =( 'greatest_lower_bound'( multiply( a, b ), identity ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , clause( 68097, [ =( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 'greatest_lower_bound'( multiply( a, b ), identity ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 51989, [ =( 'greatest_lower_bound'( multiply( a, b ), identity ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , clause( 68098, [ =( 'greatest_lower_bound'( multiply( a, b ), identity )
% 34.80/35.20 , 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68100, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 34.80/35.20 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 243, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 34.80/35.20 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68102, [ =( 'greatest_lower_bound'( a, multiply( identity, inverse(
% 34.80/35.20 b ) ) ), multiply( 'greatest_lower_bound'( b, a ), inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 51989, [ =( 'greatest_lower_bound'( multiply( a, b ), identity )
% 34.80/35.20 , 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , 0, clause( 68100, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 34.80/35.20 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 34.80/35.20 Y ) ) ) ] )
% 34.80/35.20 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ),
% 34.80/35.20 :=( Z, identity )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68103, [ =( 'greatest_lower_bound'( a, inverse( b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( b, a ), inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 34.80/35.20 , 0, clause( 68102, [ =( 'greatest_lower_bound'( a, multiply( identity,
% 34.80/35.20 inverse( b ) ) ), multiply( 'greatest_lower_bound'( b, a ), inverse( b )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , 0, 3, substitution( 0, [ :=( X, inverse( b ) )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68104, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse( b )
% 34.80/35.20 ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 68103, [ =( 'greatest_lower_bound'( a, inverse( b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( b, a ), inverse( b ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 52111, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse( b )
% 34.80/35.20 ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 68104, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse( b
% 34.80/35.20 ) ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68105, [ =( 'greatest_lower_bound'( a, inverse( b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( b, a ), inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 52111, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse( b
% 34.80/35.20 ) ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68107, [ =( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.20 'greatest_lower_bound'( multiply( a, inverse( b ) ), identity ) ) ] )
% 34.80/35.20 , clause( 3616, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 34.80/35.20 ), 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, clause( 68105, [ =( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.20 multiply( 'greatest_lower_bound'( b, a ), inverse( b ) ) ) ] )
% 34.80/35.20 , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68108, [ =( 'greatest_lower_bound'( multiply( a, inverse( b ) ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 68107, [ =( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.20 'greatest_lower_bound'( multiply( a, inverse( b ) ), identity ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 52135, [ =( 'greatest_lower_bound'( multiply( a, inverse( b ) ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 68108, [ =( 'greatest_lower_bound'( multiply( a, inverse( b ) ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68110, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 34.80/35.20 , clause( 3678, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68113, [ =( multiply( a, inverse( b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( a, inverse( b ) ), inverse(
% 34.80/35.20 'greatest_lower_bound'( inverse( multiply( a, inverse( b ) ) ), identity
% 34.80/35.20 ) ) ) ) ] )
% 34.80/35.20 , clause( 52135, [ =( 'greatest_lower_bound'( multiply( a, inverse( b ) ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , 0, clause( 68110, [ =( X, multiply( 'greatest_lower_bound'( X, identity )
% 34.80/35.20 , inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 34.80/35.20 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( a,
% 34.80/35.20 inverse( b ) ) )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68114, [ =( multiply( a, inverse( b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( a, inverse( b ) ), inverse(
% 34.80/35.20 'greatest_lower_bound'( multiply( b, inverse( a ) ), identity ) ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , clause( 258, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 34.80/35.20 inverse( X ) ) ) ] )
% 34.80/35.20 , 0, clause( 68113, [ =( multiply( a, inverse( b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( a, inverse( b ) ), inverse(
% 34.80/35.20 'greatest_lower_bound'( inverse( multiply( a, inverse( b ) ) ), identity
% 34.80/35.20 ) ) ) ) ] )
% 34.80/35.20 , 0, 12, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68115, [ =( multiply( a, inverse( b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( a, inverse( b ) ), inverse(
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , clause( 50597, [ =( 'greatest_lower_bound'( multiply( b, inverse( a ) ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , 0, clause( 68114, [ =( multiply( a, inverse( b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( a, inverse( b ) ), inverse(
% 34.80/35.20 'greatest_lower_bound'( multiply( b, inverse( a ) ), identity ) ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, 11, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68116, [ =( multiply( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( b, inverse( a ) ) ) ), multiply( a,
% 34.80/35.20 inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 68115, [ =( multiply( a, inverse( b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( a, inverse( b ) ), inverse(
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 52278, [ =( multiply( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( b, inverse( a ) ) ) ), multiply( a,
% 34.80/35.20 inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 68116, [ =( multiply( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( b, inverse( a ) ) ) ), multiply( a,
% 34.80/35.20 inverse( b ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68119, [ =( 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , clause( 50756, [ =( 'greatest_lower_bound'( multiply( b, a ), identity )
% 34.80/35.20 , 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , 0, clause( 26056, [ =( 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'(
% 34.80/35.20 multiply( b, a ), identity ) ) ] )
% 34.80/35.20 , 0, 9, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 60123, [ =( 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , clause( 68119, [ =( 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68123, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.20 'greatest_lower_bound'( a, identity ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , clause( 51989, [ =( 'greatest_lower_bound'( multiply( a, b ), identity )
% 34.80/35.20 , 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , 0, clause( 26042, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.20 'greatest_lower_bound'( a, identity ) ) ), 'greatest_lower_bound'(
% 34.80/35.20 multiply( a, b ), identity ) ) ] )
% 34.80/35.20 , 0, 9, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 60127, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.20 'greatest_lower_bound'( a, identity ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , clause( 68123, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.20 'greatest_lower_bound'( a, identity ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68126, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 34.80/35.20 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 243, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 34.80/35.20 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68130, [ =( 'greatest_lower_bound'( b, multiply( inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ), inverse( a ) ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( b, a ), inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 60123, [ =( 'greatest_lower_bound'( multiply( b, a ), inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , 0, clause( 68126, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 34.80/35.20 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 34.80/35.20 Y ) ) ) ] )
% 34.80/35.20 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a ),
% 34.80/35.20 :=( Z, inverse( 'greatest_lower_bound'( identity, a ) ) )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68131, [ =( 'greatest_lower_bound'( b, multiply( inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ), inverse( a ) ) ),
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 50793, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse( a
% 34.80/35.20 ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , 0, clause( 68130, [ =( 'greatest_lower_bound'( b, multiply( inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ), inverse( a ) ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( b, a ), inverse( a ) ) ) ] )
% 34.80/35.20 , 0, 10, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68132, [ =( 'greatest_lower_bound'( b, inverse( multiply( a,
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ) ), 'greatest_lower_bound'( b,
% 34.80/35.20 inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 249, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 34.80/35.20 multiply( X, Y ) ) ) ] )
% 34.80/35.20 , 0, clause( 68131, [ =( 'greatest_lower_bound'( b, multiply( inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ), inverse( a ) ) ),
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, 'greatest_lower_bound'(
% 34.80/35.20 identity, a ) )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68133, [ =( 'greatest_lower_bound'( b, inverse( multiply(
% 34.80/35.20 'greatest_lower_bound'( identity, a ), a ) ) ), 'greatest_lower_bound'( b
% 34.80/35.20 , inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 2788, [ =( multiply( X, 'greatest_lower_bound'( identity, X ) ),
% 34.80/35.20 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 34.80/35.20 , 0, clause( 68132, [ =( 'greatest_lower_bound'( b, inverse( multiply( a,
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ) ), 'greatest_lower_bound'( b,
% 34.80/35.20 inverse( a ) ) ) ] )
% 34.80/35.20 , 0, 4, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 61849, [ =( 'greatest_lower_bound'( b, inverse( multiply(
% 34.80/35.20 'greatest_lower_bound'( identity, a ), a ) ) ), 'greatest_lower_bound'( b
% 34.80/35.20 , inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 68133, [ =( 'greatest_lower_bound'( b, inverse( multiply(
% 34.80/35.20 'greatest_lower_bound'( identity, a ), a ) ) ), 'greatest_lower_bound'( b
% 34.80/35.20 , inverse( a ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68135, [ =( 'greatest_lower_bound'( b, a ), 'greatest_lower_bound'(
% 34.80/35.20 multiply( a, b ), inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , clause( 60127, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.20 'greatest_lower_bound'( a, identity ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68136, [ =( 'greatest_lower_bound'( b, a ), 'greatest_lower_bound'(
% 34.80/35.20 multiply( a, b ), inverse( 'greatest_lower_bound'( identity, a ) ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , clause( 690, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 34.80/35.20 'greatest_lower_bound'( X, Y ) ) ) ] )
% 34.80/35.20 , 0, clause( 68135, [ =( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 'greatest_lower_bound'( multiply( a, b ), inverse( 'greatest_lower_bound'(
% 34.80/35.20 a, identity ) ) ) ) ] )
% 34.80/35.20 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, a )] ), substitution(
% 34.80/35.20 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68139, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , clause( 68136, [ =( 'greatest_lower_bound'( b, a ),
% 34.80/35.20 'greatest_lower_bound'( multiply( a, b ), inverse( 'greatest_lower_bound'(
% 34.80/35.20 identity, a ) ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 62029, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , clause( 68139, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68141, [ =( 'greatest_lower_bound'( Y, multiply( inverse( X ), Z )
% 34.80/35.20 ), multiply( inverse( X ), 'greatest_lower_bound'( multiply( X, Y ), Z )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 1677, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 34.80/35.20 multiply( X, Y ), Z ) ), 'greatest_lower_bound'( Y, multiply( inverse( X
% 34.80/35.20 ), Z ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68144, [ =( 'greatest_lower_bound'( b, multiply( inverse( a ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( identity, a ) ) ) ), multiply( inverse(
% 34.80/35.20 a ), 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.20 , clause( 62029, [ =( 'greatest_lower_bound'( multiply( a, b ), inverse(
% 34.80/35.20 'greatest_lower_bound'( identity, a ) ) ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ) ] )
% 34.80/35.20 , 0, clause( 68141, [ =( 'greatest_lower_bound'( Y, multiply( inverse( X )
% 34.80/35.20 , Z ) ), multiply( inverse( X ), 'greatest_lower_bound'( multiply( X, Y )
% 34.80/35.20 , Z ) ) ) ] )
% 34.80/35.20 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ),
% 34.80/35.20 :=( Z, inverse( 'greatest_lower_bound'( identity, a ) ) )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68145, [ =( 'greatest_lower_bound'( b, inverse( multiply(
% 34.80/35.20 'greatest_lower_bound'( identity, a ), a ) ) ), multiply( inverse( a ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.20 , clause( 249, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 34.80/35.20 multiply( X, Y ) ) ) ] )
% 34.80/35.20 , 0, clause( 68144, [ =( 'greatest_lower_bound'( b, multiply( inverse( a )
% 34.80/35.20 , inverse( 'greatest_lower_bound'( identity, a ) ) ) ), multiply( inverse(
% 34.80/35.20 a ), 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.20 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, a ) ),
% 34.80/35.20 :=( Y, a )] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68146, [ =( 'greatest_lower_bound'( b, inverse( a ) ), multiply(
% 34.80/35.20 inverse( a ), 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.20 , clause( 61849, [ =( 'greatest_lower_bound'( b, inverse( multiply(
% 34.80/35.20 'greatest_lower_bound'( identity, a ), a ) ) ), 'greatest_lower_bound'( b
% 34.80/35.20 , inverse( a ) ) ) ] )
% 34.80/35.20 , 0, clause( 68145, [ =( 'greatest_lower_bound'( b, inverse( multiply(
% 34.80/35.20 'greatest_lower_bound'( identity, a ), a ) ) ), multiply( inverse( a ),
% 34.80/35.20 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.20 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68147, [ =( multiply( inverse( a ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 68146, [ =( 'greatest_lower_bound'( b, inverse( a ) ), multiply(
% 34.80/35.20 inverse( a ), 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 66006, [ =( multiply( inverse( a ), 'greatest_lower_bound'( b, a )
% 34.80/35.20 ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 68147, [ =( multiply( inverse( a ), 'greatest_lower_bound'( b, a
% 34.80/35.20 ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68148, [ =( 'greatest_lower_bound'( b, inverse( a ) ), multiply(
% 34.80/35.20 inverse( a ), 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.20 , clause( 66006, [ =( multiply( inverse( a ), 'greatest_lower_bound'( b, a
% 34.80/35.20 ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68149, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 34.80/35.20 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , clause( 1757, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 34.80/35.20 ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68150, [ =( 'greatest_lower_bound'( b, inverse( a ) ),
% 34.80/35.20 'greatest_lower_bound'( identity, multiply( inverse( a ), b ) ) ) ] )
% 34.80/35.20 , clause( 68149, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X
% 34.80/35.20 ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, clause( 68148, [ =( 'greatest_lower_bound'( b, inverse( a ) ),
% 34.80/35.20 multiply( inverse( a ), 'greatest_lower_bound'( b, a ) ) ) ] )
% 34.80/35.20 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68151, [ =( 'greatest_lower_bound'( identity, multiply( inverse( a
% 34.80/35.20 ), b ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 68150, [ =( 'greatest_lower_bound'( b, inverse( a ) ),
% 34.80/35.20 'greatest_lower_bound'( identity, multiply( inverse( a ), b ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 66041, [ =( 'greatest_lower_bound'( identity, multiply( inverse( a
% 34.80/35.20 ), b ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , clause( 68151, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 34.80/35.20 a ), b ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68153, [ =( inverse( X ), multiply( 'greatest_lower_bound'( inverse(
% 34.80/35.20 X ), identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , clause( 3685, [ =( multiply( 'greatest_lower_bound'( inverse( X ),
% 34.80/35.20 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 34.80/35.20 X ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68157, [ =( inverse( multiply( inverse( a ), b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( inverse( multiply( inverse( a ), b ) ), identity
% 34.80/35.20 ), inverse( 'greatest_lower_bound'( b, inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , clause( 66041, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 34.80/35.20 a ), b ) ), 'greatest_lower_bound'( b, inverse( a ) ) ) ] )
% 34.80/35.20 , 0, clause( 68153, [ =( inverse( X ), multiply( 'greatest_lower_bound'(
% 34.80/35.20 inverse( X ), identity ), inverse( 'greatest_lower_bound'( identity, X )
% 34.80/35.20 ) ) ) ] )
% 34.80/35.20 , 0, 15, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( inverse(
% 34.80/35.20 a ), b ) )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68159, [ =( inverse( multiply( inverse( a ), b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( multiply( inverse( b ), a ), identity ), inverse(
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , clause( 250, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 34.80/35.20 inverse( Y ), X ) ) ] )
% 34.80/35.20 , 0, clause( 68157, [ =( inverse( multiply( inverse( a ), b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( inverse( multiply( inverse( a ), b ) ), identity
% 34.80/35.20 ), inverse( 'greatest_lower_bound'( b, inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , 0, 8, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68160, [ =( multiply( inverse( b ), a ), multiply(
% 34.80/35.20 'greatest_lower_bound'( multiply( inverse( b ), a ), identity ), inverse(
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , clause( 250, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 34.80/35.20 inverse( Y ), X ) ) ] )
% 34.80/35.20 , 0, clause( 68159, [ =( inverse( multiply( inverse( a ), b ) ), multiply(
% 34.80/35.20 'greatest_lower_bound'( multiply( inverse( b ), a ), identity ), inverse(
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , 0, 1, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68164, [ =( multiply( inverse( b ), a ), multiply(
% 34.80/35.20 'greatest_lower_bound'( a, inverse( b ) ), inverse(
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , clause( 51364, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 34.80/35.20 identity ), 'greatest_lower_bound'( a, inverse( b ) ) ) ] )
% 34.80/35.20 , 0, clause( 68160, [ =( multiply( inverse( b ), a ), multiply(
% 34.80/35.20 'greatest_lower_bound'( multiply( inverse( b ), a ), identity ), inverse(
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68165, [ =( multiply( inverse( b ), a ), multiply( a, inverse( b )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 52278, [ =( multiply( 'greatest_lower_bound'( a, inverse( b ) ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( b, inverse( a ) ) ) ), multiply( a,
% 34.80/35.20 inverse( b ) ) ) ] )
% 34.80/35.20 , 0, clause( 68164, [ =( multiply( inverse( b ), a ), multiply(
% 34.80/35.20 'greatest_lower_bound'( a, inverse( b ) ), inverse(
% 34.80/35.20 'greatest_lower_bound'( b, inverse( a ) ) ) ) ) ] )
% 34.80/35.20 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68166, [ =( multiply( a, inverse( b ) ), multiply( inverse( b ), a
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 68165, [ =( multiply( inverse( b ), a ), multiply( a, inverse( b
% 34.80/35.20 ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 66084, [ =( multiply( a, inverse( b ) ), multiply( inverse( b ), a
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 68166, [ =( multiply( a, inverse( b ) ), multiply( inverse( b ),
% 34.80/35.20 a ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68168, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 34.80/35.20 , clause( 1038, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68169, [ =( a, multiply( multiply( inverse( b ), a ), b ) ) ] )
% 34.80/35.20 , clause( 66084, [ =( multiply( a, inverse( b ) ), multiply( inverse( b ),
% 34.80/35.20 a ) ) ] )
% 34.80/35.20 , 0, clause( 68168, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ]
% 34.80/35.20 )
% 34.80/35.20 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68170, [ =( multiply( multiply( inverse( b ), a ), b ), a ) ] )
% 34.80/35.20 , clause( 68169, [ =( a, multiply( multiply( inverse( b ), a ), b ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 66170, [ =( multiply( multiply( inverse( b ), a ), b ), a ) ] )
% 34.80/35.20 , clause( 68170, [ =( multiply( multiply( inverse( b ), a ), b ), a ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68172, [ =( inverse( multiply( Y, Z ) ), multiply( inverse(
% 34.80/35.20 multiply( multiply( X, Y ), Z ) ), X ) ) ] )
% 34.80/35.20 , clause( 257, [ =( multiply( inverse( multiply( multiply( X, Y ), Z ) ), X
% 34.80/35.20 ), inverse( multiply( Y, Z ) ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68175, [ =( inverse( multiply( a, b ) ), multiply( inverse( a ),
% 34.80/35.20 inverse( b ) ) ) ] )
% 34.80/35.20 , clause( 66170, [ =( multiply( multiply( inverse( b ), a ), b ), a ) ] )
% 34.80/35.20 , 0, clause( 68172, [ =( inverse( multiply( Y, Z ) ), multiply( inverse(
% 34.80/35.20 multiply( multiply( X, Y ), Z ) ), X ) ) ] )
% 34.80/35.20 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 34.80/35.20 :=( Y, a ), :=( Z, b )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68177, [ =( inverse( multiply( a, b ) ), inverse( multiply( b, a )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 249, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 34.80/35.20 multiply( X, Y ) ) ) ] )
% 34.80/35.20 , 0, clause( 68175, [ =( inverse( multiply( a, b ) ), multiply( inverse( a
% 34.80/35.20 ), inverse( b ) ) ) ] )
% 34.80/35.20 , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 34.80/35.20 ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 66217, [ =( inverse( multiply( a, b ) ), inverse( multiply( b, a )
% 34.80/35.20 ) ) ] )
% 34.80/35.20 , clause( 68177, [ =( inverse( multiply( a, b ) ), inverse( multiply( b, a
% 34.80/35.20 ) ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 eqswap(
% 34.80/35.20 clause( 68180, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 34.80/35.20 , clause( 3678, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 34.80/35.20 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 34.80/35.20 , 0, substitution( 0, [ :=( X, X )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68183, [ =( multiply( a, b ), multiply( 'greatest_lower_bound'(
% 34.80/35.20 multiply( a, b ), identity ), inverse( 'greatest_lower_bound'( inverse(
% 34.80/35.20 multiply( b, a ) ), identity ) ) ) ) ] )
% 34.80/35.20 , clause( 66217, [ =( inverse( multiply( a, b ) ), inverse( multiply( b, a
% 34.80/35.20 ) ) ) ] )
% 34.80/35.20 , 0, clause( 68180, [ =( X, multiply( 'greatest_lower_bound'( X, identity )
% 34.80/35.20 , inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 34.80/35.20 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( a, b )
% 34.80/35.20 )] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68184, [ =( multiply( a, b ), multiply( 'greatest_lower_bound'( b,
% 34.80/35.20 a ), inverse( 'greatest_lower_bound'( inverse( multiply( b, a ) ),
% 34.80/35.20 identity ) ) ) ) ] )
% 34.80/35.20 , clause( 51989, [ =( 'greatest_lower_bound'( multiply( a, b ), identity )
% 34.80/35.20 , 'greatest_lower_bound'( b, a ) ) ] )
% 34.80/35.20 , 0, clause( 68183, [ =( multiply( a, b ), multiply( 'greatest_lower_bound'(
% 34.80/35.20 multiply( a, b ), identity ), inverse( 'greatest_lower_bound'( inverse(
% 34.80/35.20 multiply( b, a ) ), identity ) ) ) ) ] )
% 34.80/35.20 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 paramod(
% 34.80/35.20 clause( 68185, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 34.80/35.20 , clause( 50904, [ =( multiply( 'greatest_lower_bound'( b, a ), inverse(
% 34.80/35.20 'greatest_lower_bound'( inverse( multiply( b, a ) ), identity ) ) ),
% 34.80/35.20 multiply( b, a ) ) ] )
% 34.80/35.20 , 0, clause( 68184, [ =( multiply( a, b ), multiply( 'greatest_lower_bound'(
% 34.80/35.20 b, a ), inverse( 'greatest_lower_bound'( inverse( multiply( b, a ) ),
% 34.80/35.20 identity ) ) ) ) ] )
% 34.80/35.20 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 66288, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 34.80/35.20 , clause( 68185, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 resolution(
% 34.80/35.20 clause( 68189, [] )
% 34.80/35.20 , clause( 16, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 34.80/35.20 , 0, clause( 66288, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 34.80/35.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 subsumption(
% 34.80/35.20 clause( 66301, [] )
% 34.80/35.20 , clause( 68189, [] )
% 34.80/35.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 end.
% 34.80/35.20
% 34.80/35.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 34.80/35.20
% 34.80/35.20 Memory use:
% 34.80/35.20
% 34.80/35.20 space for terms: 939965
% 34.80/35.20 space for clauses: 6724404
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 clauses generated: 8576764
% 34.80/35.20 clauses kept: 66302
% 34.80/35.20 clauses selected: 5547
% 34.80/35.20 clauses deleted: 6513
% 34.80/35.20 clauses inuse deleted: 410
% 34.80/35.20
% 34.80/35.20 subsentry: 669277
% 34.80/35.20 literals s-matched: 663071
% 34.80/35.20 literals matched: 662326
% 34.80/35.20 full subsumption: 0
% 34.80/35.20
% 34.80/35.20 checksum: 709772400
% 34.80/35.20
% 34.80/35.20
% 34.80/35.20 Bliksem ended
%------------------------------------------------------------------------------