TSTP Solution File: GRP180-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP180-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:52 EDT 2022
% Result : Unsatisfiable 101.92s 102.34s
% Output : Refutation 101.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP180-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 04:39:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 101.92/102.34 *** allocated 10000 integers for termspace/termends
% 101.92/102.34 *** allocated 10000 integers for clauses
% 101.92/102.34 *** allocated 10000 integers for justifications
% 101.92/102.34 Bliksem 1.12
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Automatic Strategy Selection
% 101.92/102.34
% 101.92/102.34 Clauses:
% 101.92/102.34 [
% 101.92/102.34 [ =( multiply( identity, X ), X ) ],
% 101.92/102.34 [ =( multiply( inverse( X ), X ), identity ) ],
% 101.92/102.34 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 101.92/102.34 ],
% 101.92/102.34 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 101.92/102.34 ,
% 101.92/102.34 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 101.92/102.34 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.34 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 101.92/102.34 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.34 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 101.92/102.34 [ =( 'least_upper_bound'( X, X ), X ) ],
% 101.92/102.34 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 101.92/102.34 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 101.92/102.34 ,
% 101.92/102.34 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 101.92/102.34 ,
% 101.92/102.34 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 101.92/102.34 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 101.92/102.34 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.34 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 101.92/102.34 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 101.92/102.34 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 101.92/102.34 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 101.92/102.34 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 101.92/102.34 [ =( inverse( identity ), identity ) ],
% 101.92/102.34 [ =( inverse( inverse( X ) ), X ) ],
% 101.92/102.34 [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), inverse( X ) )
% 101.92/102.34 ) ],
% 101.92/102.34 [ ~( =( multiply( a, multiply( inverse( 'greatest_lower_bound'( a, b ) )
% 101.92/102.34 , b ) ), 'least_upper_bound'( a, b ) ) ) ]
% 101.92/102.34 ] .
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 percentage equality = 1.000000, percentage horn = 1.000000
% 101.92/102.34 This is a pure equality problem
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Options Used:
% 101.92/102.34
% 101.92/102.34 useres = 1
% 101.92/102.34 useparamod = 1
% 101.92/102.34 useeqrefl = 1
% 101.92/102.34 useeqfact = 1
% 101.92/102.34 usefactor = 1
% 101.92/102.34 usesimpsplitting = 0
% 101.92/102.34 usesimpdemod = 5
% 101.92/102.34 usesimpres = 3
% 101.92/102.34
% 101.92/102.34 resimpinuse = 1000
% 101.92/102.34 resimpclauses = 20000
% 101.92/102.34 substype = eqrewr
% 101.92/102.34 backwardsubs = 1
% 101.92/102.34 selectoldest = 5
% 101.92/102.34
% 101.92/102.34 litorderings [0] = split
% 101.92/102.34 litorderings [1] = extend the termordering, first sorting on arguments
% 101.92/102.34
% 101.92/102.34 termordering = kbo
% 101.92/102.34
% 101.92/102.34 litapriori = 0
% 101.92/102.34 termapriori = 1
% 101.92/102.34 litaposteriori = 0
% 101.92/102.34 termaposteriori = 0
% 101.92/102.34 demodaposteriori = 0
% 101.92/102.34 ordereqreflfact = 0
% 101.92/102.34
% 101.92/102.34 litselect = negord
% 101.92/102.34
% 101.92/102.34 maxweight = 15
% 101.92/102.34 maxdepth = 30000
% 101.92/102.34 maxlength = 115
% 101.92/102.34 maxnrvars = 195
% 101.92/102.34 excuselevel = 1
% 101.92/102.34 increasemaxweight = 1
% 101.92/102.34
% 101.92/102.34 maxselected = 10000000
% 101.92/102.34 maxnrclauses = 10000000
% 101.92/102.34
% 101.92/102.34 showgenerated = 0
% 101.92/102.34 showkept = 0
% 101.92/102.34 showselected = 0
% 101.92/102.34 showdeleted = 0
% 101.92/102.34 showresimp = 1
% 101.92/102.34 showstatus = 2000
% 101.92/102.34
% 101.92/102.34 prologoutput = 1
% 101.92/102.34 nrgoals = 5000000
% 101.92/102.34 totalproof = 1
% 101.92/102.34
% 101.92/102.34 Symbols occurring in the translation:
% 101.92/102.34
% 101.92/102.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 101.92/102.34 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 101.92/102.34 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 101.92/102.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 101.92/102.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 101.92/102.34 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 101.92/102.34 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 101.92/102.34 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 101.92/102.34 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 101.92/102.34 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 101.92/102.34 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 101.92/102.34 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Starting Search:
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 24309
% 101.92/102.34 Kept: 2008
% 101.92/102.34 Inuse: 194
% 101.92/102.34 Deleted: 12
% 101.92/102.34 Deletedinuse: 3
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 99654
% 101.92/102.34 Kept: 4026
% 101.92/102.34 Inuse: 421
% 101.92/102.34 Deleted: 28
% 101.92/102.34 Deletedinuse: 3
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 183186
% 101.92/102.34 Kept: 6035
% 101.92/102.34 Inuse: 622
% 101.92/102.34 Deleted: 72
% 101.92/102.34 Deletedinuse: 34
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 304063
% 101.92/102.34 Kept: 8037
% 101.92/102.34 Inuse: 780
% 101.92/102.34 Deleted: 107
% 101.92/102.34 Deletedinuse: 67
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 731669
% 101.92/102.34 Kept: 10040
% 101.92/102.34 Inuse: 1156
% 101.92/102.34 Deleted: 160
% 101.92/102.34 Deletedinuse: 67
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 1919157
% 101.92/102.34 Kept: 12043
% 101.92/102.34 Inuse: 1718
% 101.92/102.34 Deleted: 241
% 101.92/102.34 Deletedinuse: 67
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 2160705
% 101.92/102.34 Kept: 14151
% 101.92/102.34 Inuse: 1843
% 101.92/102.34 Deleted: 262
% 101.92/102.34 Deletedinuse: 68
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 2239766
% 101.92/102.34 Kept: 16233
% 101.92/102.34 Inuse: 1886
% 101.92/102.34 Deleted: 264
% 101.92/102.34 Deletedinuse: 68
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 2382092
% 101.92/102.34 Kept: 18244
% 101.92/102.34 Inuse: 1955
% 101.92/102.34 Deleted: 265
% 101.92/102.34 Deletedinuse: 68
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying clauses:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 2546197
% 101.92/102.34 Kept: 20246
% 101.92/102.34 Inuse: 2028
% 101.92/102.34 Deleted: 2075
% 101.92/102.34 Deletedinuse: 68
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 2857954
% 101.92/102.34 Kept: 22255
% 101.92/102.34 Inuse: 2162
% 101.92/102.34 Deleted: 2075
% 101.92/102.34 Deletedinuse: 68
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 3307085
% 101.92/102.34 Kept: 24273
% 101.92/102.34 Inuse: 2335
% 101.92/102.34 Deleted: 2075
% 101.92/102.34 Deletedinuse: 68
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 3944858
% 101.92/102.34 Kept: 26283
% 101.92/102.34 Inuse: 2572
% 101.92/102.34 Deleted: 2079
% 101.92/102.34 Deletedinuse: 68
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 4859390
% 101.92/102.34 Kept: 28283
% 101.92/102.34 Inuse: 2891
% 101.92/102.34 Deleted: 2079
% 101.92/102.34 Deletedinuse: 68
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 6728316
% 101.92/102.34 Kept: 30295
% 101.92/102.34 Inuse: 3341
% 101.92/102.34 Deleted: 2103
% 101.92/102.34 Deletedinuse: 68
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 9568837
% 101.92/102.34 Kept: 32295
% 101.92/102.34 Inuse: 3964
% 101.92/102.34 Deleted: 2167
% 101.92/102.34 Deletedinuse: 101
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 13948468
% 101.92/102.34 Kept: 34301
% 101.92/102.34 Inuse: 4898
% 101.92/102.34 Deleted: 2235
% 101.92/102.34 Deletedinuse: 101
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 18100220
% 101.92/102.34 Kept: 36305
% 101.92/102.34 Inuse: 5647
% 101.92/102.34 Deleted: 2302
% 101.92/102.34 Deletedinuse: 149
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 26276183
% 101.92/102.34 Kept: 38308
% 101.92/102.34 Inuse: 6699
% 101.92/102.34 Deleted: 2362
% 101.92/102.34 Deletedinuse: 180
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying clauses:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Intermediate Status:
% 101.92/102.34 Generated: 28109103
% 101.92/102.34 Kept: 40664
% 101.92/102.34 Inuse: 6922
% 101.92/102.34 Deleted: 18100
% 101.92/102.34 Deletedinuse: 1887
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34 Resimplifying inuse:
% 101.92/102.34 Done
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 Bliksems!, er is een bewijs:
% 101.92/102.34 % SZS status Unsatisfiable
% 101.92/102.34 % SZS output start Refutation
% 101.92/102.34
% 101.92/102.34 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 101.92/102.34 , Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 101.92/102.34 X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 101.92/102.34 ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 101.92/102.34 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.34 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 101.92/102.34 ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 101.92/102.34 X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 101.92/102.34 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.34 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 101.92/102.34 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.34 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 15, [ =( inverse( identity ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 101.92/102.34 X, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 18, [ ~( =( multiply( multiply( a, inverse( 'greatest_lower_bound'(
% 101.92/102.34 a, b ) ) ), b ), 'least_upper_bound'( a, b ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.34 X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 101.92/102.34 X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 101.92/102.34 identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 101.92/102.34 identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 101.92/102.34 ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 101.92/102.34 X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 101.92/102.34 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 28, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 101.92/102.34 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.34 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.34 X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 101.92/102.34 X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 32, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 101.92/102.34 'least_upper_bound'( Y, X ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 101.92/102.34 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 41, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Y
% 101.92/102.34 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 101.92/102.34 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 101.92/102.34 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 101.92/102.34 X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.34 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 45, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 101.92/102.34 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 101.92/102.34 'least_upper_bound'( Y, Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 55, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.34 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.34 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 101.92/102.34 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 61, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( X, Y ), Z ), X ), 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.34 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 101.92/102.34 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 101.92/102.34 identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 68, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 101.92/102.34 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 101.92/102.34 ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 69, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 101.92/102.34 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 101.92/102.34 ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 101.92/102.34 'least_upper_bound'( Z, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 71, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.34 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 101.92/102.34 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 101.92/102.34 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 101.92/102.34 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.34 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 84, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply( X,
% 101.92/102.34 'least_upper_bound'( Y, Z ) ), T ), multiply( X, Z ) ), multiply( X, Z )
% 101.92/102.34 ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 85, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 101.92/102.34 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 88, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 101.92/102.34 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 90, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( T,
% 101.92/102.34 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ), Y ),
% 101.92/102.34 'greatest_lower_bound'( T, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 101.92/102.34 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 116, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 119, [ =( 'least_upper_bound'( Y, 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( X, Y ), Z ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 131, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.34 'greatest_lower_bound'( X, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 101.92/102.34 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 140, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 101.92/102.34 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.34 'least_upper_bound'( identity, Y ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 101.92/102.34 'least_upper_bound'( Y, identity ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 148, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ) ), X ) ]
% 101.92/102.34 )
% 101.92/102.34 .
% 101.92/102.34 clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.34 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 101.92/102.34 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 101.92/102.34 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 155, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 101.92/102.34 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 101.92/102.34 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 101.92/102.34 ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 162, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse( X
% 101.92/102.34 ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 101.92/102.34 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.34 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 169, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 101.92/102.34 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 173, [ =( 'least_upper_bound'( multiply( Z, inverse( Y ) ), inverse(
% 101.92/102.34 multiply( Y, X ) ) ), multiply( 'least_upper_bound'( Z, inverse( X ) ),
% 101.92/102.34 inverse( Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 178, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 101.92/102.34 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.34 inverse( Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 101.92/102.34 Y ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 181, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 101.92/102.34 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 101.92/102.34 ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 101.92/102.34 ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 184, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 101.92/102.34 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 101.92/102.34 ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 101.92/102.34 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 101.92/102.34 ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 190, [ =( multiply( 'greatest_lower_bound'( Z, inverse( multiply( X
% 101.92/102.34 , Y ) ) ), X ), 'greatest_lower_bound'( multiply( Z, X ), inverse( Y ) )
% 101.92/102.34 ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 192, [ =( multiply( 'least_upper_bound'( Z, inverse( multiply( X, Y
% 101.92/102.34 ) ) ), X ), 'least_upper_bound'( multiply( Z, X ), inverse( Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 198, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 199, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse( Y
% 101.92/102.34 ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 204, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.34 'least_upper_bound'( Z, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 212, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 101.92/102.34 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 216, [ =( multiply( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.34 T ), multiply( multiply( 'greatest_lower_bound'( Z, X ), Y ), T ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 220, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 101.92/102.34 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 239, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 101.92/102.34 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 246, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 101.92/102.34 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 254, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 101.92/102.34 'least_upper_bound'( X, Y ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 267, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Z ),
% 101.92/102.34 'greatest_lower_bound'( Y, X ) ), 'least_upper_bound'( X, Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 414, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 101.92/102.34 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y
% 101.92/102.34 ) ), T ) ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 433, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 101.92/102.34 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 436, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.34 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.34 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 437, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z )
% 101.92/102.34 , 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 459, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z )
% 101.92/102.34 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 472, [ =( multiply( inverse( 'least_upper_bound'( Z,
% 101.92/102.34 'greatest_lower_bound'( Y, X ) ) ), 'least_upper_bound'( Z,
% 101.92/102.34 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 478, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) )
% 101.92/102.34 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 480, [ =( 'least_upper_bound'( T, 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( Y, Z ), X ) ), 'least_upper_bound'( T,
% 101.92/102.34 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 512, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.34 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 516, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply( X
% 101.92/102.34 , Y ) ) ), 'greatest_lower_bound'( identity, X ) ), inverse( Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 531, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 101.92/102.34 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 533, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.34 identity, Y ), X ), X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 536, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 101.92/102.34 X, identity ), Y ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 544, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, multiply(
% 101.92/102.34 'greatest_lower_bound'( identity, X ), Y ) ), Y ), 'least_upper_bound'( Y
% 101.92/102.34 , Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 548, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 101.92/102.34 , identity ), Y ), Y ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 573, [ =( 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'(
% 101.92/102.34 X, identity ), Y ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 582, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.34 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 101.92/102.34 ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 589, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( Y
% 101.92/102.34 , identity ), X ), X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 601, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.34 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 101.92/102.34 ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 615, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.34 identity, X ), Y ), Y ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 631, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 101.92/102.34 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 101.92/102.34 ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 667, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 101.92/102.34 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 710, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X, Y
% 101.92/102.34 ), Y ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 721, [ =( 'greatest_lower_bound'( Y, multiply( Y, X ) ), multiply(
% 101.92/102.34 Y, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 772, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.92/102.34 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 774, [ =( multiply( inverse( X ), 'greatest_lower_bound'( identity
% 101.92/102.34 , X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 902, [ =( inverse( multiply( X, 'greatest_lower_bound'( Y, identity
% 101.92/102.34 ) ) ), inverse( 'greatest_lower_bound'( multiply( X, Y ), X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 911, [ =( 'least_upper_bound'( X, multiply( 'greatest_lower_bound'(
% 101.92/102.34 X, Y ), 'greatest_lower_bound'( Z, identity ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 917, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 101.92/102.34 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 962, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.34 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 101.92/102.34 ), Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 974, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 101.92/102.34 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1010, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 101.92/102.34 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 101.92/102.34 )
% 101.92/102.34 .
% 101.92/102.34 clause( 1067, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.92/102.34 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1078, [ =( inverse( multiply( X, 'least_upper_bound'( identity, Y )
% 101.92/102.34 ) ), inverse( 'least_upper_bound'( multiply( X, Y ), X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1094, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.34 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1096, [ =( multiply( inverse( X ), 'least_upper_bound'( identity, X
% 101.92/102.34 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1100, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 101.92/102.34 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1178, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 101.92/102.34 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1186, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 101.92/102.34 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1187, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.34 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1188, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 101.92/102.34 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1245, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 101.92/102.34 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1256, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 101.92/102.34 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1296, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 101.92/102.34 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1302, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 101.92/102.34 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1307, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.34 identity, X ) ), identity ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1308, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 101.92/102.34 identity ) ), identity ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1319, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 101.92/102.34 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 101.92/102.34 identity, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1506, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 101.92/102.34 X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1515, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X )
% 101.92/102.34 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1516, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply( X
% 101.92/102.34 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 101.92/102.34 )
% 101.92/102.34 .
% 101.92/102.34 clause( 1542, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 101.92/102.34 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1550, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.34 identity, X ) ), identity ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1596, [ =( multiply( inverse( 'least_upper_bound'( identity,
% 101.92/102.34 multiply( X, Y ) ) ), X ), inverse( 'least_upper_bound'( inverse( X ), Y
% 101.92/102.34 ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1635, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 101.92/102.34 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 101.92/102.34 ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1705, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 101.92/102.34 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 101.92/102.34 ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1734, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 101.92/102.34 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1737, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 101.92/102.34 , 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1849, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 101.92/102.34 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1850, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 101.92/102.34 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1858, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Y )
% 101.92/102.34 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ), identity ) ]
% 101.92/102.34 )
% 101.92/102.34 .
% 101.92/102.34 clause( 1883, [ =( 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.34 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 1962, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'( Z
% 101.92/102.34 , multiply( inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ), identity
% 101.92/102.34 ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 2147, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) )
% 101.92/102.34 , 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 2151, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.34 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 2278, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( X
% 101.92/102.34 , T ), 'least_upper_bound'( Y, Z ) ), multiply( X, Z ) ), multiply( X, Z
% 101.92/102.34 ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 2306, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.34 identity, X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse(
% 101.92/102.34 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 2568, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 101.92/102.34 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 101.92/102.34 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 2851, [ =( multiply( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.34 , Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 2855, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.34 multiply( X, Y ) ) ), X ), inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.34 , Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 3199, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.34 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 3228, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.34 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 3985, [ =( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.34 'least_upper_bound'( Y, X ), inverse( Y ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4022, [ =( 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.34 'greatest_lower_bound'( X, Y ) ) ) ), multiply( X, inverse(
% 101.92/102.34 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4072, [ =( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.34 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4094, [ =( 'greatest_lower_bound'( multiply( multiply( Z,
% 101.92/102.34 'least_upper_bound'( X, Y ) ), inverse( Y ) ), Z ), Z ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4730, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.34 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4731, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.34 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.34 'greatest_lower_bound'( 'greatest_lower_bound'( inverse( X ), Y ), Z ) )
% 101.92/102.34 ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4758, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.34 Y, inverse( X ) ) ), X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4772, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 101.92/102.34 , inverse( X ) ) ), X ), inverse( 'greatest_lower_bound'( Y, inverse( X )
% 101.92/102.34 ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4773, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.34 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4779, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.34 inverse( Y ), X ) ), Y ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4798, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.34 inverse( X ), Y ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 101.92/102.34 Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4804, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.34 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4835, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.34 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.34 ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4858, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.34 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 101.92/102.34 ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 4859, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 101.92/102.34 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 5165, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 101.92/102.34 X ) ) ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 5184, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.34 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.34 inverse( X ), Y ), Z ), T ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 5288, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 101.92/102.34 ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 5294, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 101.92/102.34 'least_upper_bound'( X, Y ) ) ), inverse( Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 5303, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.92/102.34 inverse( X ) ) ), X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 5315, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 101.92/102.34 , inverse( Y ) ) ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 5332, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 101.92/102.34 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 101.92/102.34 ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 5775, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 101.92/102.34 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 101.92/102.34 Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 7428, [ =( 'greatest_lower_bound'( multiply( multiply( T,
% 101.92/102.34 'least_upper_bound'( X, inverse( Z ) ) ), Z ), T ), T ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12247, [ =( multiply( inverse( 'least_upper_bound'( identity, X ) )
% 101.92/102.34 , 'least_upper_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12249, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 101.92/102.34 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12253, [ =( multiply( inverse( 'least_upper_bound'( identity, X ) )
% 101.92/102.34 , 'least_upper_bound'( Y, multiply( X, Y ) ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12266, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 101.92/102.34 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12271, [ =( inverse( 'least_upper_bound'( X, inverse(
% 101.92/102.34 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 101.92/102.34 , identity ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12281, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.34 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12285, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.34 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12305, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 101.92/102.34 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12319, [ =( 'least_upper_bound'( inverse( multiply(
% 101.92/102.34 'least_upper_bound'( X, identity ), X ) ), identity ),
% 101.92/102.34 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12414, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity
% 101.92/102.34 ) ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12467, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.34 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 101.92/102.34 identity ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12469, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 101.92/102.34 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 101.92/102.34 ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12498, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.34 X, inverse( X ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 12671, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.34 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 13013, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.34 'least_upper_bound'( Z, X ), inverse( Z ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 13234, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.34 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 13412, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 101.92/102.34 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 13510, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.34 X, inverse( X ) ) ), identity ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 13666, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.34 X, inverse( X ) ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 13747, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.34 inverse( X ), X ) ), identity ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 13822, [ =( 'least_upper_bound'( Y, multiply(
% 101.92/102.34 'greatest_lower_bound'( inverse( X ), X ), Y ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 15150, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.34 multiply( X, X ), identity ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 15331, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 101.92/102.34 multiply( X, X ) ), X ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 15427, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 17250, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.34 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 33430, [ =( 'least_upper_bound'( Y, multiply( X, inverse(
% 101.92/102.34 'least_upper_bound'( Z, multiply( inverse( Y ), X ) ) ) ) ), Y ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 37380, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.34 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 101.92/102.34 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 37420, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 101.92/102.34 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 101.92/102.34 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 38716, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.34 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.34 'greatest_lower_bound'( identity, X ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 38735, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 101.92/102.34 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 38774, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 101.92/102.34 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 38838, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.34 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 38858, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 101.92/102.34 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 38869, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.34 , inverse( Y ) ) ) ), 'least_upper_bound'( identity, multiply( Y, inverse(
% 101.92/102.34 X ) ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 38940, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.34 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 38958, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.34 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 39025, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 101.92/102.34 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 39138, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.34 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 39434, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( X
% 101.92/102.34 ), Y ), inverse( Z ) ), inverse( 'least_upper_bound'(
% 101.92/102.34 'greatest_lower_bound'( X, inverse( Y ) ), Z ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 39542, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ),
% 101.92/102.34 'least_upper_bound'( inverse( X ), Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 39723, [ =( multiply( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.34 , Y ) ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 39739, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 101.92/102.34 X ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 39971, [ =( 'least_upper_bound'( inverse( Y ), inverse( X ) ),
% 101.92/102.34 inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 40049, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 101.92/102.34 inverse( Z ) ), inverse( 'greatest_lower_bound'( multiply( X, inverse( Y
% 101.92/102.34 ) ), Z ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 41528, [ =( inverse( 'greatest_lower_bound'( multiply( X, inverse(
% 101.92/102.34 Y ) ), identity ) ), 'least_upper_bound'( identity, multiply( Y, inverse(
% 101.92/102.34 X ) ) ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 42249, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.34 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 42263, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.34 inverse( Y ) ), 'least_upper_bound'( Y, X ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 42268, [ =( multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 101.92/102.34 inverse( Y ) ), 'least_upper_bound'( Y, X ) ), X ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 42272, [ =( multiply( multiply( X, inverse( 'greatest_lower_bound'(
% 101.92/102.34 X, Y ) ) ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.34 .
% 101.92/102.34 clause( 42376, [] )
% 101.92/102.34 .
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 % SZS output end Refutation
% 101.92/102.34 found a proof!
% 101.92/102.34
% 101.92/102.34 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 101.92/102.34
% 101.92/102.34 initialclauses(
% 101.92/102.34 [ clause( 42378, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.34 , clause( 42379, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.34 , clause( 42380, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.92/102.34 multiply( Y, Z ) ) ) ] )
% 101.92/102.34 , clause( 42381, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.34 'greatest_lower_bound'( Y, X ) ) ] )
% 101.92/102.34 , clause( 42382, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 101.92/102.34 X ) ) ] )
% 101.92/102.34 , clause( 42383, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 101.92/102.34 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 101.92/102.34 )
% 101.92/102.34 , clause( 42384, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 101.92/102.34 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.34 , clause( 42385, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 101.92/102.34 , clause( 42386, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 101.92/102.34 , clause( 42387, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.92/102.34 ) ), X ) ] )
% 101.92/102.34 , clause( 42388, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.92/102.34 ) ), X ) ] )
% 101.92/102.34 , clause( 42389, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.34 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.34 , clause( 42390, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.34 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.34 , clause( 42391, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.34 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.92/102.34 , clause( 42392, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 101.92/102.34 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.92/102.34 , clause( 42393, [ =( inverse( identity ), identity ) ] )
% 101.92/102.34 , clause( 42394, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.34 , clause( 42395, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 101.92/102.34 inverse( X ) ) ) ] )
% 101.92/102.34 , clause( 42396, [ ~( =( multiply( a, multiply( inverse(
% 101.92/102.34 'greatest_lower_bound'( a, b ) ), b ) ), 'least_upper_bound'( a, b ) ) )
% 101.92/102.34 ] )
% 101.92/102.34 ] ).
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 subsumption(
% 101.92/102.34 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.34 , clause( 42378, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 subsumption(
% 101.92/102.34 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.34 , clause( 42379, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 eqswap(
% 101.92/102.34 clause( 42402, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 101.92/102.34 , Y ), Z ) ) ] )
% 101.92/102.34 , clause( 42380, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.92/102.34 multiply( Y, Z ) ) ) ] )
% 101.92/102.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 subsumption(
% 101.92/102.34 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 101.92/102.34 , Z ) ) ] )
% 101.92/102.34 , clause( 42402, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 101.92/102.34 X, Y ), Z ) ) ] )
% 101.92/102.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.34
% 101.92/102.34
% 101.92/102.34 subsumption(
% 101.92/102.34 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 101.92/102.34 X ) ) ] )
% 101.92/102.34 , clause( 42381, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( Y, X ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 101.92/102.35 ] )
% 101.92/102.35 , clause( 42382, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 101.92/102.35 X ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 101.92/102.35 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 42383, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 101.92/102.35 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 101.92/102.35 )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 42384, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 101.92/102.35 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 101.92/102.35 , clause( 42386, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 42387, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.92/102.35 ) ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 101.92/102.35 X ) ] )
% 101.92/102.35 , clause( 42388, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.92/102.35 ) ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42451, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 42389, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 101.92/102.35 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 42451, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 101.92/102.35 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42462, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 101.92/102.35 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 42390, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 42462, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 101.92/102.35 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42474, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 42391, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 101.92/102.35 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 42474, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42487, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 101.92/102.35 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 42392, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.35 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 42487, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 101.92/102.35 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 15, [ =( inverse( identity ), identity ) ] )
% 101.92/102.35 , clause( 42393, [ =( inverse( identity ), identity ) ] )
% 101.92/102.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.35 , clause( 42394, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42532, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.35 multiply( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 42395, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 101.92/102.35 inverse( X ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 101.92/102.35 X, Y ) ) ) ] )
% 101.92/102.35 , clause( 42532, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.35 multiply( X, Y ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42571, [ ~( =( multiply( multiply( a, inverse(
% 101.92/102.35 'greatest_lower_bound'( a, b ) ) ), b ), 'least_upper_bound'( a, b ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.35 ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42396, [ ~( =( multiply( a, multiply( inverse(
% 101.92/102.35 'greatest_lower_bound'( a, b ) ), b ) ), 'least_upper_bound'( a, b ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, inverse(
% 101.92/102.35 'greatest_lower_bound'( a, b ) ) ), :=( Z, b )] ), substitution( 1, [] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 18, [ ~( =( multiply( multiply( a, inverse( 'greatest_lower_bound'(
% 101.92/102.35 a, b ) ) ), b ), 'least_upper_bound'( a, b ) ) ) ] )
% 101.92/102.35 , clause( 42571, [ ~( =( multiply( multiply( a, inverse(
% 101.92/102.35 'greatest_lower_bound'( a, b ) ) ), b ), 'least_upper_bound'( a, b ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42574, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 101.92/102.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42575, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 101.92/102.35 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.35 , 0, clause( 42574, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 101.92/102.35 X ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42576, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.35 , clause( 42575, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.35 , clause( 42576, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42577, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42578, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , 0, clause( 42577, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.35 X, Y ) ) ) ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 101.92/102.35 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42581, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 101.92/102.35 ), X ) ] )
% 101.92/102.35 , clause( 42578, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 101.92/102.35 ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.35 X ) ] )
% 101.92/102.35 , clause( 42581, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 X ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42582, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42583, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, clause( 42582, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.35 X, Y ) ) ) ] )
% 101.92/102.35 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42586, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 101.92/102.35 ), X ) ] )
% 101.92/102.35 , clause( 42583, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 101.92/102.35 , X ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 101.92/102.35 X ) ] )
% 101.92/102.35 , clause( 42586, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 101.92/102.35 ) ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42588, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 101.92/102.35 Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.35 ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42591, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 101.92/102.35 , identity ) ) ] )
% 101.92/102.35 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.35 , 0, clause( 42588, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.92/102.35 multiply( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 101.92/102.35 identity ) ) ] )
% 101.92/102.35 , clause( 42591, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 101.92/102.35 X, identity ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42596, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 101.92/102.35 Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.35 ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42601, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 101.92/102.35 , identity ) ) ] )
% 101.92/102.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.35 , 0, clause( 42596, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.92/102.35 multiply( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 101.92/102.35 identity ) ) ] )
% 101.92/102.35 , clause( 42601, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 101.92/102.35 X, identity ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42606, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 101.92/102.35 Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.35 ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42611, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.35 , 0, clause( 42606, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.92/102.35 multiply( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, identity ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 101.92/102.35 ] )
% 101.92/102.35 , clause( 42611, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 101.92/102.35 Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42616, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42617, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, clause( 42616, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 101.92/102.35 , Y ), X ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42620, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 101.92/102.35 ), X ) ] )
% 101.92/102.35 , clause( 42617, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 101.92/102.35 ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 101.92/102.35 X ) ] )
% 101.92/102.35 , clause( 42620, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 101.92/102.35 X ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42622, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42625, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 101.92/102.35 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, clause( 42622, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.35 Y, X ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42626, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42625, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 101.92/102.35 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42626, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.92/102.35 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42628, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42631, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Y ) ) ] )
% 101.92/102.35 , clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, clause( 42628, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 X, Y ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.35 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42632, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42631, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Y ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 28, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42632, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y )
% 101.92/102.35 , 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42634, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42637, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), X ) ) ] )
% 101.92/102.35 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, clause( 42634, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 X, Y ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42638, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42637, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42638, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 101.92/102.35 , 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42639, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42640, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , 0, clause( 42639, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 X, Y ) ) ) ] )
% 101.92/102.35 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42643, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 101.92/102.35 ), X ) ] )
% 101.92/102.35 , clause( 42640, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 101.92/102.35 , X ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.35 X ) ] )
% 101.92/102.35 , clause( 42643, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 101.92/102.35 ) ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42644, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42645, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, clause( 42644, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 X, Y ) ) ) ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 101.92/102.35 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42648, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 101.92/102.35 ), X ) ] )
% 101.92/102.35 , clause( 42645, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 101.92/102.35 ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 101.92/102.35 X ) ] )
% 101.92/102.35 , clause( 42648, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 X ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42650, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42651, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42650, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 X, Y ) ) ) ] )
% 101.92/102.35 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42652, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.92/102.35 , clause( 42651, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 32, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.92/102.35 , clause( 42652, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42654, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42657, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, clause( 42654, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 101.92/102.35 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Z, Y ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 101.92/102.35 'least_upper_bound'( Y, X ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 101.92/102.35 , clause( 42657, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.92/102.35 ), 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42661, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42664, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 101.92/102.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , 0, clause( 42661, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 101.92/102.35 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z
% 101.92/102.35 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 101.92/102.35 , clause( 42664, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.92/102.35 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ]
% 101.92/102.35 )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42678, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42683, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), X ), Y ), 'greatest_lower_bound'( X, Y )
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 101.92/102.35 , 0, clause( 42678, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 101.92/102.35 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) )] ),
% 101.92/102.35 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X ),
% 101.92/102.35 :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42685, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , 0, clause( 42683, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), X ), Y ), 'greatest_lower_bound'( X, Y )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 41, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Y
% 101.92/102.35 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42685, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.92/102.35 ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42688, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42689, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42688, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 Y, X ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42690, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 101.92/102.35 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42689, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 101.92/102.35 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.92/102.35 , clause( 42690, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 101.92/102.35 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42691, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42692, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, clause( 42691, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 Y, X ) ) ) ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 101.92/102.35 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42695, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 101.92/102.35 ), X ) ] )
% 101.92/102.35 , clause( 42692, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 101.92/102.35 ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 101.92/102.35 X ) ] )
% 101.92/102.35 , clause( 42695, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 101.92/102.35 X ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42697, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , Y ) ) ] )
% 101.92/102.35 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42698, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 101.92/102.35 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42697, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 101.92/102.35 , Y ), Y ) ) ] )
% 101.92/102.35 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42699, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.35 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42698, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 101.92/102.35 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.92/102.35 , clause( 42699, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.35 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42701, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42702, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42701, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 101.92/102.35 , Y ), X ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42703, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 101.92/102.35 , clause( 42702, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 45, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 101.92/102.35 , clause( 42703, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42705, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42706, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 101.92/102.35 , X ), Y ) ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42705, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.35 Y, X ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42707, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42706, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 101.92/102.35 , X ), Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 101.92/102.35 'least_upper_bound'( Y, Z ) ) ] )
% 101.92/102.35 , clause( 42707, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42709, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42710, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42709, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 101.92/102.35 , Y ), X ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42711, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 101.92/102.35 , clause( 42710, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 55, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 101.92/102.35 , clause( 42711, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42712, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42715, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 101.92/102.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, clause( 42712, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 101.92/102.35 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 101.92/102.35 , clause( 42715, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 101.92/102.35 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42729, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42734, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, clause( 42729, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42747, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42734, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.35 , clause( 42747, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 101.92/102.35 , 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42749, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 101.92/102.35 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42759, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z
% 101.92/102.35 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42749, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42761, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42759, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 Y, Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42763, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ), 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 42761, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.92/102.35 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 61, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ), 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 42763, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ), 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42767, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42780, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 101.92/102.35 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X,
% 101.92/102.35 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , 0, clause( 42767, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42782, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 101.92/102.35 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42780, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 101.92/102.35 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X,
% 101.92/102.35 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42783, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42782, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 101.92/102.35 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.35 , clause( 42783, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42787, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42790, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 101.92/102.35 identity ) ] )
% 101.92/102.35 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.35 , 0, clause( 42787, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 101.92/102.35 ), Y ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, multiply( X, identity ) )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, inverse( multiply( X, identity ) )
% 101.92/102.35 )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 101.92/102.35 identity ) ] )
% 101.92/102.35 , clause( 42790, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 101.92/102.35 identity ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42794, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42795, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 101.92/102.35 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.35 ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42794, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z, T )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42797, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 101.92/102.35 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 42795, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 101.92/102.35 ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.92/102.35 T ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 68, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 101.92/102.35 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 42797, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z )
% 101.92/102.35 , multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 101.92/102.35 , T ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42800, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42802, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 101.92/102.35 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.35 ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42800, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( Z, T ) )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42804, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 101.92/102.35 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 101.92/102.35 , T ) ) ) ) ] )
% 101.92/102.35 , clause( 42802, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T )
% 101.92/102.35 ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ),
% 101.92/102.35 T ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 69, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 101.92/102.35 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 42804, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 101.92/102.35 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 101.92/102.35 , T ) ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42805, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42807, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, clause( 42805, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42809, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 101.92/102.35 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, clause( 42807, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 101.92/102.35 'least_upper_bound'( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 42809, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 101.92/102.35 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42811, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42812, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.35 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.35 , 0, clause( 42811, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 71, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.35 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 42812, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) )
% 101.92/102.35 , 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42817, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42819, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 101.92/102.35 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.35 , 0, clause( 42817, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 101.92/102.35 , clause( 42819, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) )
% 101.92/102.35 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42823, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42825, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 101.92/102.35 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 101.92/102.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.35 , 0, clause( 42823, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 101.92/102.35 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42828, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 101.92/102.35 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 42825, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 101.92/102.35 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 101.92/102.35 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 42828, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 101.92/102.35 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42831, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42834, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 101.92/102.35 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 101.92/102.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.35 , 0, clause( 42831, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.35 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42837, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 101.92/102.35 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.35 , clause( 42834, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 101.92/102.35 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 101.92/102.35 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.35 , clause( 42837, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 101.92/102.35 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42838, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , clause( 55, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42840, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z,
% 101.92/102.35 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 101.92/102.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, clause( 42838, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 101.92/102.35 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42846, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42840, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z
% 101.92/102.35 , 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42847, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 101.92/102.35 , clause( 42846, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.35 , clause( 42847, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42849, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), Y ) ) ] )
% 101.92/102.35 , clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42850, [ =( multiply( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'least_upper_bound'( multiply( X, 'least_upper_bound'( Z, Y ) ), T ),
% 101.92/102.35 multiply( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, clause( 42849, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), Y ) ) ] )
% 101.92/102.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, multiply( X, Z ) ), :=( Y, multiply( X, Y ) ),
% 101.92/102.35 :=( Z, T )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42851, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 101.92/102.35 X, 'least_upper_bound'( Z, Y ) ), T ), multiply( X, Y ) ), multiply( X, Y
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , clause( 42850, [ =( multiply( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'least_upper_bound'( multiply( X, 'least_upper_bound'( Z, Y ) ), T ),
% 101.92/102.35 multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 84, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply( X,
% 101.92/102.35 'least_upper_bound'( Y, Z ) ), T ), multiply( X, Z ) ), multiply( X, Z )
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 42851, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 101.92/102.35 X, 'least_upper_bound'( Z, Y ) ), T ), multiply( X, Y ) ), multiply( X, Y
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42853, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 101.92/102.35 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42855, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), Y ), 'greatest_lower_bound'( Y,
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.35 , 0, clause( 42853, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 101.92/102.35 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.92/102.35 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 101.92/102.35 ), Z ) ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42856, [ =( Y, 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.35 , 0, clause( 42855, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ), Y ), 'greatest_lower_bound'( Y,
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42858, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 101.92/102.35 , clause( 42856, [ =( Y, 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 85, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 101.92/102.35 , clause( 42858, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42861, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42866, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 101.92/102.35 , Z ) ) ) ] )
% 101.92/102.35 , clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.35 , 0, clause( 42861, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 101.92/102.35 , Y ), X ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.92/102.35 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 101.92/102.35 ), Z ) ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42867, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( Y, 'least_upper_bound'( X, Y )
% 101.92/102.35 ), Z ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42866, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 Z ), 'least_upper_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( X
% 101.92/102.35 , Y ), Z ) ) ) ] )
% 101.92/102.35 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, 'least_upper_bound'( X, Y ) )
% 101.92/102.35 , :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42869, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Y
% 101.92/102.35 ), Z ) ) ] )
% 101.92/102.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42867, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 Z ), 'least_upper_bound'( 'least_upper_bound'( Y, 'least_upper_bound'( X
% 101.92/102.35 , Y ) ), Z ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42870, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 101.92/102.35 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , 0, clause( 42869, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 Z ), 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X
% 101.92/102.35 ), Y ), Z ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 88, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , clause( 42870, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 101.92/102.35 , 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42872, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42877, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( Y, Z ), T ) ), Z ),
% 101.92/102.35 'greatest_lower_bound'( X, Z ) ) ] )
% 101.92/102.35 , clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.35 , 0, clause( 42872, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 101.92/102.35 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( Y, Z ), T ) ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 90, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( T,
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ), Y ),
% 101.92/102.35 'greatest_lower_bound'( T, Y ) ) ] )
% 101.92/102.35 , clause( 42877, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 101.92/102.35 'least_upper_bound'( 'least_upper_bound'( Y, Z ), T ) ), Z ),
% 101.92/102.35 'greatest_lower_bound'( X, Z ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42882, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 101.92/102.35 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42883, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 101.92/102.35 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.35 , 0, clause( 42882, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 101.92/102.35 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 42883, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y
% 101.92/102.35 ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42887, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , clause( 45, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42889, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Z,
% 101.92/102.35 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 101.92/102.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , 0, clause( 42887, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 101.92/102.35 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42895, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Y, X ), Z ), X ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42889, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Z
% 101.92/102.35 , 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42896, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Y, X ), Z ), X ), X ) ] )
% 101.92/102.35 , clause( 42895, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Y, X ), Z ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 116, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.35 , clause( 42896, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Y, X ), Z ), X ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42898, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), X ) ) ] )
% 101.92/102.35 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42900, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), Y ), 'least_upper_bound'( Y,
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , clause( 116, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.35 , 0, clause( 42898, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), X ) ) ] )
% 101.92/102.35 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.92/102.35 substitution( 1, [ :=( X, 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.35 X, Y ), Z ) ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42901, [ =( Y, 'least_upper_bound'( Y, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , clause( 116, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Z, X ), Y ), X ), X ) ] )
% 101.92/102.35 , 0, clause( 42900, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ), Y ), 'least_upper_bound'( Y,
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42903, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Y, X ), Z ) ), X ) ] )
% 101.92/102.35 , clause( 42901, [ =( Y, 'least_upper_bound'( Y, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 119, [ =( 'least_upper_bound'( Y, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ), Y ) ] )
% 101.92/102.35 , clause( 42903, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Y, X ), Z ) ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42906, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Y, X ), Z ) ) ) ] )
% 101.92/102.35 , clause( 119, [ =( 'least_upper_bound'( Y, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ), Y ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42910, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.92/102.35 , X ) ] )
% 101.92/102.35 , 0, clause( 42906, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( Y, X ), Z ) ) ) ] )
% 101.92/102.35 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42912, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( X, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42910, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.35 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 131, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( X, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 42912, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( X, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42913, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42915, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , 0, clause( 42913, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42917, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 101.92/102.35 'least_upper_bound'( Y, X ), Z ) ) ] )
% 101.92/102.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42915, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.35 , clause( 42917, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 101.92/102.35 'least_upper_bound'( Y, X ), Z ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42919, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42921, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 101.92/102.35 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 101.92/102.35 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.35 , 0, clause( 42919, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42924, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 101.92/102.35 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 101.92/102.35 , clause( 42921, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) )
% 101.92/102.35 , 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 140, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 101.92/102.35 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 101.92/102.35 , clause( 42924, [ =( 'least_upper_bound'( identity, multiply( Y, inverse(
% 101.92/102.35 X ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42927, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42928, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 101.92/102.35 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.35 , 0, clause( 42927, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 101.92/102.35 identity ), :=( Y, Y ), :=( Z, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42930, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.35 'least_upper_bound'( identity, X ), Y ) ) ] )
% 101.92/102.35 , clause( 42928, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 101.92/102.35 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.35 'least_upper_bound'( identity, Y ), X ) ) ] )
% 101.92/102.35 , clause( 42930, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.35 'least_upper_bound'( identity, X ), Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42933, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42935, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 101.92/102.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.35 , 0, clause( 42933, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, Y ), :=( Z, identity )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42937, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 101.92/102.35 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.92/102.35 , clause( 42935, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 101.92/102.35 'least_upper_bound'( Y, identity ), X ) ) ] )
% 101.92/102.35 , clause( 42937, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 101.92/102.35 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42939, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , clause( 32, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42940, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ) ) ) ] )
% 101.92/102.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 42939, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.35 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 101.92/102.35 Z ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 101.92/102.35 'greatest_lower_bound'( Z, T ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42941, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ) ), X ) ]
% 101.92/102.35 )
% 101.92/102.35 , clause( 42940, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 148, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ) ), X ) ]
% 101.92/102.35 )
% 101.92/102.35 , clause( 42941, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ) ), X ) ]
% 101.92/102.35 )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42943, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 101.92/102.35 inverse( Y ) ) ) ] )
% 101.92/102.35 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 101.92/102.35 , identity ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42946, [ =( multiply( X, identity ), multiply( identity, inverse(
% 101.92/102.35 inverse( X ) ) ) ) ] )
% 101.92/102.35 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.35 , 0, clause( 42943, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 101.92/102.35 ), inverse( Y ) ) ) ] )
% 101.92/102.35 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, inverse( X ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42947, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 101.92/102.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.35 , 0, clause( 42946, [ =( multiply( X, identity ), multiply( identity,
% 101.92/102.35 inverse( inverse( X ) ) ) ) ] )
% 101.92/102.35 , 0, 4, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42948, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.35 , 0, clause( 42947, [ =( multiply( X, identity ), inverse( inverse( X ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , clause( 42948, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42951, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 101.92/102.35 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42952, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.92/102.35 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 42951, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, identity ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42954, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.35 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.35 , clause( 42952, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 101.92/102.35 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.35 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.35 , clause( 42954, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 101.92/102.35 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42957, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 101.92/102.35 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42959, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 42957, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, Y ), :=( Z, identity )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42961, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 101.92/102.35 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.35 , clause( 42959, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 101.92/102.35 , 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 101.92/102.35 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.35 , clause( 42961, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 101.92/102.35 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42963, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42964, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.35 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 42963, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, identity ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42966, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.92/102.35 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.35 , clause( 42964, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.35 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 101.92/102.35 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.35 , clause( 42966, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.35 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42969, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.92/102.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42971, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 42969, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, Y ), :=( Z, identity )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42973, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 101.92/102.35 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.35 , clause( 42971, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 155, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 101.92/102.35 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.35 , clause( 42973, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 101.92/102.35 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42975, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42977, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 101.92/102.35 , inverse( Y ) ), 'greatest_lower_bound'( multiply( X, identity ),
% 101.92/102.35 multiply( Z, inverse( Y ) ) ) ) ] )
% 101.92/102.35 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 101.92/102.35 , identity ) ) ] )
% 101.92/102.35 , 0, clause( 42975, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.35 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42981, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 101.92/102.35 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 42977, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y )
% 101.92/102.35 , Z ), inverse( Y ) ), 'greatest_lower_bound'( multiply( X, identity ),
% 101.92/102.35 multiply( Z, inverse( Y ) ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 101.92/102.35 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 42981, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 101.92/102.35 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42984, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42987, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.92/102.35 multiply( X, identity ) ) ), 'greatest_lower_bound'( identity, multiply(
% 101.92/102.35 Y, inverse( multiply( X, identity ) ) ) ) ) ] )
% 101.92/102.35 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 101.92/102.35 identity ) ] )
% 101.92/102.35 , 0, clause( 42984, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, inverse( multiply( X, identity ) ) ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42996, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.92/102.35 multiply( X, identity ) ) ), 'greatest_lower_bound'( identity, multiply(
% 101.92/102.35 Y, inverse( X ) ) ) ) ] )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 42987, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.92/102.35 multiply( X, identity ) ) ), 'greatest_lower_bound'( identity, multiply(
% 101.92/102.35 Y, inverse( multiply( X, identity ) ) ) ) ) ] )
% 101.92/102.35 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 42997, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 101.92/102.35 ), 'greatest_lower_bound'( identity, multiply( Y, inverse( X ) ) ) ) ]
% 101.92/102.35 )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 42996, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.92/102.35 multiply( X, identity ) ) ), 'greatest_lower_bound'( identity, multiply(
% 101.92/102.35 Y, inverse( X ) ) ) ) ] )
% 101.92/102.35 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 42999, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 101.92/102.35 X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 101.92/102.35 , clause( 42997, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 101.92/102.35 ) ), 'greatest_lower_bound'( identity, multiply( Y, inverse( X ) ) ) ) ]
% 101.92/102.35 )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 162, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse( X
% 101.92/102.35 ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 101.92/102.35 , clause( 42999, [ =( 'greatest_lower_bound'( identity, multiply( Y,
% 101.92/102.35 inverse( X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43001, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43003, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.92/102.35 , X ) ) ] )
% 101.92/102.35 , 0, clause( 43001, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43005, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 101.92/102.35 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.92/102.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 43003, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.35 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 101.92/102.35 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.92/102.35 , clause( 43005, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 101.92/102.35 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43007, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43008, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 101.92/102.35 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.35 , 0, clause( 43007, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 101.92/102.35 identity ), :=( Y, Y ), :=( Z, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43010, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.35 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 101.92/102.35 , clause( 43008, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 101.92/102.35 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.35 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 101.92/102.35 , clause( 43010, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 101.92/102.35 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43013, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43015, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 101.92/102.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.35 , 0, clause( 43013, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, Y ), :=( Z, identity )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43017, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 101.92/102.35 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 101.92/102.35 , clause( 43015, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 101.92/102.35 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 169, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 101.92/102.35 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 101.92/102.35 , clause( 43017, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 101.92/102.35 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43019, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43021, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 101.92/102.35 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), inverse(
% 101.92/102.35 multiply( Z, Y ) ) ) ) ] )
% 101.92/102.35 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.35 multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, clause( 43019, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, inverse( Y ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43023, [ =( 'least_upper_bound'( multiply( X, inverse( Z ) ),
% 101.92/102.35 inverse( multiply( Z, Y ) ) ), multiply( 'least_upper_bound'( X, inverse(
% 101.92/102.35 Y ) ), inverse( Z ) ) ) ] )
% 101.92/102.35 , clause( 43021, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 101.92/102.35 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), inverse(
% 101.92/102.35 multiply( Z, Y ) ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 173, [ =( 'least_upper_bound'( multiply( Z, inverse( Y ) ), inverse(
% 101.92/102.35 multiply( Y, X ) ) ), multiply( 'least_upper_bound'( Z, inverse( X ) ),
% 101.92/102.35 inverse( Y ) ) ) ] )
% 101.92/102.35 , clause( 43023, [ =( 'least_upper_bound'( multiply( X, inverse( Z ) ),
% 101.92/102.35 inverse( multiply( Z, Y ) ) ), multiply( 'least_upper_bound'( X, inverse(
% 101.92/102.35 Y ) ), inverse( Z ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43025, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 101.92/102.35 Y, Z ) ) ) ] )
% 101.92/102.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.35 ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43029, [ =( multiply( multiply( X, inverse( Y ) ), inverse( Z ) ),
% 101.92/102.35 multiply( X, inverse( multiply( Z, Y ) ) ) ) ] )
% 101.92/102.35 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.35 multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, clause( 43025, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.92/102.35 multiply( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, inverse( Z ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 178, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 101.92/102.35 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 101.92/102.35 , clause( 43029, [ =( multiply( multiply( X, inverse( Y ) ), inverse( Z ) )
% 101.92/102.35 , multiply( X, inverse( multiply( Z, Y ) ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43033, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 101.92/102.35 inverse( Y ) ) ) ] )
% 101.92/102.35 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.35 multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43034, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 101.92/102.35 inverse( X ) ) ) ] )
% 101.92/102.35 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.35 , 0, clause( 43033, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 101.92/102.35 ), inverse( Y ) ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 101.92/102.35 Y ) ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.35 inverse( Y ) ) ) ] )
% 101.92/102.35 , clause( 43034, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 101.92/102.35 inverse( X ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43039, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 101.92/102.35 inverse( Y ) ) ) ] )
% 101.92/102.35 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.35 multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43041, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.92/102.35 inverse( Y ), X ) ) ] )
% 101.92/102.35 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.35 , 0, clause( 43039, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 101.92/102.35 ), inverse( Y ) ) ) ] )
% 101.92/102.35 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 101.92/102.35 :=( Y, inverse( X ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 101.92/102.35 Y ), X ) ) ] )
% 101.92/102.35 , clause( 43041, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.92/102.35 inverse( Y ), X ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43045, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 101.92/102.35 inverse( Y ) ) ) ] )
% 101.92/102.35 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.35 multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43051, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) ),
% 101.92/102.35 multiply( inverse( Z ), multiply( Y, inverse( X ) ) ) ) ] )
% 101.92/102.35 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.35 inverse( Y ) ) ) ] )
% 101.92/102.35 , 0, clause( 43045, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 101.92/102.35 ), inverse( Y ) ) ) ] )
% 101.92/102.35 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.35 :=( X, Z ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43052, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) ),
% 101.92/102.35 multiply( multiply( inverse( Z ), Y ), inverse( X ) ) ) ] )
% 101.92/102.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.35 ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 43051, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z
% 101.92/102.35 ) ), multiply( inverse( Z ), multiply( Y, inverse( X ) ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, inverse( Z ) ), :=( Y, Y ), :=( Z,
% 101.92/102.35 inverse( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43053, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 101.92/102.35 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 101.92/102.35 , clause( 43052, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) )
% 101.92/102.35 , multiply( multiply( inverse( Z ), Y ), inverse( X ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 181, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 101.92/102.35 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 101.92/102.35 , clause( 43053, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) )
% 101.92/102.35 , inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43055, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 101.92/102.35 inverse( Y ) ) ) ) ] )
% 101.92/102.35 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.35 inverse( Y ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43061, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 101.92/102.35 multiply( Y, identity ) ) ) ] )
% 101.92/102.35 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 101.92/102.35 , identity ) ) ] )
% 101.92/102.35 , 0, clause( 43055, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X
% 101.92/102.35 , inverse( Y ) ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43062, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse( Y
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 43061, [ =( multiply( X, inverse( multiply( Y, X ) ) ),
% 101.92/102.35 inverse( multiply( Y, identity ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.35 :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 43062, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 101.92/102.35 Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43064, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43069, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 101.92/102.35 inverse( inverse( Y ) ) ) ) ] )
% 101.92/102.35 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , 0, clause( 43064, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 101.92/102.35 ) ) ) ) ] )
% 101.92/102.35 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.35 :=( X, inverse( multiply( Y, X ) ) ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43070, [ =( inverse( X ), inverse( multiply( inverse( Y ), multiply(
% 101.92/102.35 Y, X ) ) ) ) ] )
% 101.92/102.35 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.35 multiply( X, Y ) ) ) ] )
% 101.92/102.35 , 0, clause( 43069, [ =( inverse( X ), multiply( inverse( multiply( Y, X )
% 101.92/102.35 ), inverse( inverse( Y ) ) ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( Y, X ) )] )
% 101.92/102.35 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43071, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.92/102.35 inverse( Y ), X ) ) ] )
% 101.92/102.35 , 0, clause( 43070, [ =( inverse( X ), inverse( multiply( inverse( Y ),
% 101.92/102.35 multiply( Y, X ) ) ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, X ) )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43072, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , clause( 43071, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 101.92/102.35 Y ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 43072, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse(
% 101.92/102.35 X ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43074, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 101.92/102.35 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43075, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 101.92/102.35 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , 0, clause( 43074, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, inverse( multiply( Y, X ) ) ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 184, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 101.92/102.35 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 43075, [ =( multiply( X, 'greatest_lower_bound'( inverse(
% 101.92/102.35 multiply( Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply(
% 101.92/102.35 X, Z ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43080, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 101.92/102.35 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43082, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 101.92/102.35 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 101.92/102.35 Z ) ) ) ] )
% 101.92/102.35 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , 0, clause( 43080, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.92/102.35 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Z, X ) ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 101.92/102.35 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , clause( 43082, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 101.92/102.35 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 101.92/102.35 Z ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43086, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43088, [ =( multiply( 'greatest_lower_bound'( X, inverse( multiply(
% 101.92/102.35 Y, Z ) ) ), Y ), 'greatest_lower_bound'( multiply( X, Y ), inverse( Z ) )
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , 0, clause( 43086, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Y, Z ) ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 190, [ =( multiply( 'greatest_lower_bound'( Z, inverse( multiply( X
% 101.92/102.35 , Y ) ) ), X ), 'greatest_lower_bound'( multiply( Z, X ), inverse( Y ) )
% 101.92/102.35 ) ] )
% 101.92/102.35 , clause( 43088, [ =( multiply( 'greatest_lower_bound'( X, inverse(
% 101.92/102.35 multiply( Y, Z ) ) ), Y ), 'greatest_lower_bound'( multiply( X, Y ),
% 101.92/102.35 inverse( Z ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43092, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43094, [ =( multiply( 'least_upper_bound'( X, inverse( multiply( Y
% 101.92/102.35 , Z ) ) ), Y ), 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ) ) ]
% 101.92/102.35 )
% 101.92/102.35 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , 0, clause( 43092, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Y, Z ) ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 192, [ =( multiply( 'least_upper_bound'( Z, inverse( multiply( X, Y
% 101.92/102.35 ) ) ), X ), 'least_upper_bound'( multiply( Z, X ), inverse( Y ) ) ) ] )
% 101.92/102.35 , clause( 43094, [ =( multiply( 'least_upper_bound'( X, inverse( multiply(
% 101.92/102.35 Y, Z ) ) ), Y ), 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43099, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply(
% 101.92/102.35 Y, identity ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 101.92/102.35 :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 198, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 101.92/102.35 , clause( 43099, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43102, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43103, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 101.92/102.35 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 198, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 101.92/102.35 , 0, clause( 43102, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.35 :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 199, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse( Y
% 101.92/102.35 ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 43103, [ =( multiply( 'greatest_lower_bound'( multiply( X,
% 101.92/102.35 inverse( Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43108, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Z, Y ) ) ) ] )
% 101.92/102.35 , clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 101.92/102.35 'least_upper_bound'( Y, X ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43117, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'least_upper_bound'( Z, X ) ) ) ] )
% 101.92/102.35 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , 0, clause( 43108, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'least_upper_bound'( Z, Y ) ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43119, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Z, X ) ) ) ] )
% 101.92/102.35 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , 0, clause( 43117, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 101.92/102.35 , Y ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'least_upper_bound'( Z, X ) ) ) ] )
% 101.92/102.35 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.35 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43121, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.35 , 'least_upper_bound'( Z, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 43119, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'least_upper_bound'( Z, X ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 204, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 'least_upper_bound'( Z, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , clause( 43121, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.92/102.35 ), 'least_upper_bound'( Z, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43123, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43126, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 101.92/102.35 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 101.92/102.35 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 101.92/102.35 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.92/102.35 , 0, clause( 43123, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 101.92/102.35 ) ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43129, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 101.92/102.35 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.35 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , 0, clause( 43126, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.35 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 101.92/102.35 ] )
% 101.92/102.35 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 101.92/102.35 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 212, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 101.92/102.35 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 43129, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 101.92/102.35 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43151, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 101.92/102.35 multiply( Z, Y ) ), T ), multiply( multiply( 'greatest_lower_bound'( Z, X
% 101.92/102.35 ), Y ), T ) ) ] )
% 101.92/102.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 multiply( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.92/102.35 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, T ), :=( Z, multiply(
% 101.92/102.35 Z, Y ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43153, [ =( multiply( multiply( 'greatest_lower_bound'( X, Z ), Y )
% 101.92/102.35 , T ), multiply( multiply( 'greatest_lower_bound'( Z, X ), Y ), T ) ) ]
% 101.92/102.35 )
% 101.92/102.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.92/102.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.35 , 0, clause( 43151, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y )
% 101.92/102.35 , multiply( Z, Y ) ), T ), multiply( multiply( 'greatest_lower_bound'( Z
% 101.92/102.35 , X ), Y ), T ) ) ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 216, [ =( multiply( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.35 T ), multiply( multiply( 'greatest_lower_bound'( Z, X ), Y ), T ) ) ] )
% 101.92/102.35 , clause( 43153, [ =( multiply( multiply( 'greatest_lower_bound'( X, Z ), Y
% 101.92/102.35 ), T ), multiply( multiply( 'greatest_lower_bound'( Z, X ), Y ), T ) ) ]
% 101.92/102.35 )
% 101.92/102.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 101.92/102.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43154, [ =( identity, multiply( X, inverse( multiply( X, identity )
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 101.92/102.35 identity ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43156, [ =( identity, multiply( 'greatest_lower_bound'( Y, X ),
% 101.92/102.35 inverse( multiply( 'greatest_lower_bound'( X, Y ), identity ) ) ) ) ] )
% 101.92/102.35 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 101.92/102.35 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.92/102.35 , 0, clause( 43154, [ =( identity, multiply( X, inverse( multiply( X,
% 101.92/102.35 identity ) ) ) ) ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply(
% 101.92/102.35 'greatest_lower_bound'( X, Y ), identity ) ) ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43158, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 43156, [ =( identity, multiply( 'greatest_lower_bound'( Y, X )
% 101.92/102.35 , inverse( multiply( 'greatest_lower_bound'( X, Y ), identity ) ) ) ) ]
% 101.92/102.35 )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) )] ),
% 101.92/102.35 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43159, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.92/102.35 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.35 , clause( 43158, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.35 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 220, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 101.92/102.35 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.35 , clause( 43159, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.92/102.35 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43160, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43163, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 101.92/102.35 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 101.92/102.35 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.35 , 0, clause( 43160, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 101.92/102.35 ) ) ) ) ] )
% 101.92/102.35 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 101.92/102.35 ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43166, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 101.92/102.35 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.35 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.92/102.35 ) ) ] )
% 101.92/102.35 , 0, clause( 43163, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 101.92/102.35 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 101.92/102.35 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 101.92/102.35 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 239, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 43166, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 101.92/102.35 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43167, [ =( identity, multiply( X, inverse( multiply( X, identity )
% 101.92/102.35 ) ) ) ] )
% 101.92/102.35 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 101.92/102.35 identity ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43169, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 101.92/102.35 inverse( multiply( 'least_upper_bound'( X, Y ), identity ) ) ) ) ] )
% 101.92/102.35 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 101.92/102.35 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.35 , 0, clause( 43167, [ =( identity, multiply( X, inverse( multiply( X,
% 101.92/102.35 identity ) ) ) ) ] )
% 101.92/102.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply(
% 101.92/102.35 'least_upper_bound'( X, Y ), identity ) ) ), :=( Z, Y )] ),
% 101.92/102.35 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43171, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 101.92/102.35 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 101.92/102.35 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.35 , 0, clause( 43169, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 101.92/102.35 inverse( multiply( 'least_upper_bound'( X, Y ), identity ) ) ) ) ] )
% 101.92/102.35 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) )] ),
% 101.92/102.35 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43172, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 101.92/102.35 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.35 , clause( 43171, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 101.92/102.35 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 subsumption(
% 101.92/102.35 clause( 246, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.35 , clause( 43172, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 101.92/102.35 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.35 )] ) ).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 eqswap(
% 101.92/102.35 clause( 43173, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 101.92/102.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.35 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.35
% 101.92/102.35
% 101.92/102.35 paramod(
% 101.92/102.35 clause( 43174, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 101.92/102.35 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.35 , clause( 239, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 101.92/102.35 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.35 , 0, clause( 43173, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 101.92/102.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.35 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43177, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 101.92/102.36 'least_upper_bound'( Y, X ) ), identity ) ] )
% 101.92/102.36 , clause( 43174, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 101.92/102.36 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 254, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 101.92/102.36 'least_upper_bound'( X, Y ) ), identity ) ] )
% 101.92/102.36 , clause( 43177, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 101.92/102.36 'least_upper_bound'( Y, X ) ), identity ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43178, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 101.92/102.36 , clause( 131, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( X, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43179, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Z, X ) ) ) ] )
% 101.92/102.36 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.92/102.36 , X ) ) ] )
% 101.92/102.36 , 0, clause( 43178, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 101.92/102.36 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43182, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( Z, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.36 , clause( 43179, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Z, X ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 267, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Z ),
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ), 'least_upper_bound'( X, Z ) ) ] )
% 101.92/102.36 , clause( 43182, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( Z, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43183, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 101.92/102.36 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43184, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 101.92/102.36 , clause( 85, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43185, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'( Z,
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), T ), X ), Y ) ) ] )
% 101.92/102.36 , clause( 43183, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z
% 101.92/102.36 ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, clause( 43184, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 101.92/102.36 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.36 Z, 'greatest_lower_bound'( X, Y ) ), T ) ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.36 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z ),
% 101.92/102.36 :=( Z, T )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43186, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( Z,
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), T ) ), X ) ) ] )
% 101.92/102.36 , clause( 43183, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z
% 101.92/102.36 ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, clause( 43185, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ), T ), X ), Y ) )
% 101.92/102.36 ] )
% 101.92/102.36 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ), T ) ), :=( Z, X
% 101.92/102.36 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43189, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y
% 101.92/102.36 ) ), T ) ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.36 , clause( 43186, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ), T ) ), X ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 414, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y
% 101.92/102.36 ) ), T ) ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.36 , clause( 43189, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y
% 101.92/102.36 ) ), T ) ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43192, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 101.92/102.36 , clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 101.92/102.36 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43195, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.36 , 0, clause( 43192, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 101.92/102.36 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43201, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.36 , clause( 43195, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 433, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 101.92/102.36 , clause( 43201, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43205, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , clause( 433, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 101.92/102.36 , 0, clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X )
% 101.92/102.36 , 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.36 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y, Z ), :=( Z,
% 101.92/102.36 'greatest_lower_bound'( X, Y ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 436, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , clause( 43205, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43207, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43210, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.92/102.36 , clause( 433, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 101.92/102.36 , 0, clause( 43207, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 101.92/102.36 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y, 'greatest_lower_bound'( X
% 101.92/102.36 , Y ) ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43211, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z
% 101.92/102.36 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.92/102.36 , clause( 436, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , 0, clause( 43210, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 437, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z )
% 101.92/102.36 , 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.92/102.36 , clause( 43211, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 Z ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43212, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 101.92/102.36 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 437, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z
% 101.92/102.36 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.92/102.36 , 0, clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 459, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z )
% 101.92/102.36 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 43212, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 101.92/102.36 Z ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43217, [ =( identity, multiply( inverse( 'least_upper_bound'( X, Y
% 101.92/102.36 ) ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 254, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 101.92/102.36 'least_upper_bound'( X, Y ) ), identity ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43222, [ =( identity, multiply( inverse( 'least_upper_bound'( Z,
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ) ), 'least_upper_bound'( Z,
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 101.92/102.36 , clause( 459, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 101.92/102.36 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43217, [ =( identity, multiply( inverse( 'least_upper_bound'(
% 101.92/102.36 X, Y ) ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.36 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.36 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43223, [ =( multiply( inverse( 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( Y, Z ) ) ), 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( Z, Y ) ) ), identity ) ] )
% 101.92/102.36 , clause( 43222, [ =( identity, multiply( inverse( 'least_upper_bound'( Z,
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ) ), 'least_upper_bound'( Z,
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 472, [ =( multiply( inverse( 'least_upper_bound'( Z,
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ) ), 'least_upper_bound'( Z,
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.36 , clause( 43223, [ =( multiply( inverse( 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( Y, Z ) ) ), 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( Z, Y ) ) ), identity ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43224, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 101.92/102.36 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , clause( 459, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 101.92/102.36 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43227, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.36 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 101.92/102.36 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.36 ) ] )
% 101.92/102.36 , 0, clause( 43224, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y
% 101.92/102.36 , X ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , 0, 6, substitution( 0, [ :=( X, 'greatest_lower_bound'( Z, Y ) ), :=( Y,
% 101.92/102.36 X )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 478, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) )
% 101.92/102.36 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 43227, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z
% 101.92/102.36 ) ), 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43230, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 101.92/102.36 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43233, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 101.92/102.36 'greatest_lower_bound'( Z, T ) ) ), 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ) ) ) ] )
% 101.92/102.36 , clause( 43230, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z
% 101.92/102.36 ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, clause( 478, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X
% 101.92/102.36 ) ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 101.92/102.36 substitution( 1, [ :=( X, 'greatest_lower_bound'( Z, T ) ), :=( Y, Y ),
% 101.92/102.36 :=( Z, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43234, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 101.92/102.36 'greatest_lower_bound'( Z, T ) ) ), 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( T, Y ), Z ) ) ) ] )
% 101.92/102.36 , clause( 43230, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z
% 101.92/102.36 ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, clause( 43233, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 101.92/102.36 , 'greatest_lower_bound'( Z, T ) ) ), 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43239, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( Y, Z ), T ) ), 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( T, Y ), Z ) ) ) ] )
% 101.92/102.36 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.36 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , 0, clause( 43234, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 101.92/102.36 , 'greatest_lower_bound'( Z, T ) ) ), 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( T, Y ), Z ) ) ) ] )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43240, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( T, Y ), Z ) ), 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ) ) ) ] )
% 101.92/102.36 , clause( 43239, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( Y, Z ), T ) ), 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( T, Y ), Z ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 480, [ =( 'least_upper_bound'( T, 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( Y, Z ), X ) ), 'least_upper_bound'( T,
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 101.92/102.36 , clause( 43240, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( T, Y ), Z ) ), 'least_upper_bound'( X,
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43241, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 101.92/102.36 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43242, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.36 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 101.92/102.36 , clause( 43241, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X )
% 101.92/102.36 , 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , 0, clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.36 multiply( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, identity ), :=( Y, Y ), :=( Z, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 512, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.36 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 101.92/102.36 , clause( 43242, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 101.92/102.36 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43244, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 101.92/102.36 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43245, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43246, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 101.92/102.36 X, multiply( Y, X ) ) ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.36 , clause( 43244, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X )
% 101.92/102.36 , 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , 0, clause( 43245, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 101.92/102.36 ), X ) ) ] )
% 101.92/102.36 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, 'greatest_lower_bound'( identity, Y ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43247, [ =( multiply( inverse( 'greatest_lower_bound'( X, multiply(
% 101.92/102.36 Y, X ) ) ), 'greatest_lower_bound'( identity, Y ) ), inverse( X ) ) ] )
% 101.92/102.36 , clause( 43246, [ =( inverse( X ), multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( X, multiply( Y, X ) ) ), 'greatest_lower_bound'(
% 101.92/102.36 identity, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 516, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply( X
% 101.92/102.36 , Y ) ) ), 'greatest_lower_bound'( identity, X ) ), inverse( Y ) ) ] )
% 101.92/102.36 , clause( 43247, [ =( multiply( inverse( 'greatest_lower_bound'( X,
% 101.92/102.36 multiply( Y, X ) ) ), 'greatest_lower_bound'( identity, Y ) ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43249, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 101.92/102.36 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43283, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 101.92/102.36 multiply( X, identity ) ), identity ) ) ] )
% 101.92/102.36 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 101.92/102.36 identity ) ] )
% 101.92/102.36 , 0, clause( 43249, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 101.92/102.36 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 inverse( multiply( X, identity ) ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43285, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 101.92/102.36 ), identity ) ) ] )
% 101.92/102.36 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.36 , 0, clause( 43283, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 101.92/102.36 multiply( X, identity ) ), identity ) ) ] )
% 101.92/102.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43286, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.36 , 0, clause( 43285, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 101.92/102.36 ), identity ) ) ] )
% 101.92/102.36 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 531, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 101.92/102.36 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 43286, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43291, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.36 , X ) ) ] )
% 101.92/102.36 , clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43292, [ =( X, 'least_upper_bound'( multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, Y ), X ), X ) ) ] )
% 101.92/102.36 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 101.92/102.36 , 0, clause( 43291, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 101.92/102.36 , Y ), X ) ) ] )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43293, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.36 identity, Y ), X ), X ), X ) ] )
% 101.92/102.36 , clause( 43292, [ =( X, 'least_upper_bound'( multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, Y ), X ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 533, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.36 identity, Y ), X ), X ), X ) ] )
% 101.92/102.36 , clause( 43293, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.36 identity, Y ), X ), X ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43295, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 101.92/102.36 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43297, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y,
% 101.92/102.36 multiply( 'least_upper_bound'( X, identity ), Y ) ) ) ] )
% 101.92/102.36 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , 0, clause( 43295, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 101.92/102.36 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 101.92/102.36 1, [ :=( X, Y ), :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43298, [ =( X, 'greatest_lower_bound'( X, multiply(
% 101.92/102.36 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 101.92/102.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.36 , 0, clause( 43297, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y
% 101.92/102.36 , multiply( 'least_upper_bound'( X, identity ), Y ) ) ) ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 101.92/102.36 :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43299, [ =( 'greatest_lower_bound'( X, multiply(
% 101.92/102.36 'least_upper_bound'( Y, identity ), X ) ), X ) ] )
% 101.92/102.36 , clause( 43298, [ =( X, 'greatest_lower_bound'( X, multiply(
% 101.92/102.36 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 536, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 101.92/102.36 X, identity ), Y ) ), Y ) ] )
% 101.92/102.36 , clause( 43299, [ =( 'greatest_lower_bound'( X, multiply(
% 101.92/102.36 'least_upper_bound'( Y, identity ), X ) ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43301, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43302, [ =( 'least_upper_bound'( Y, Z ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Z, multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 Y ) ), Y ) ) ] )
% 101.92/102.36 , clause( 533, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.36 identity, Y ), X ), X ), X ) ] )
% 101.92/102.36 , 0, clause( 43301, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 101.92/102.36 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, Z ), :=( Y, multiply( 'greatest_lower_bound'( identity, X ), Y ) )
% 101.92/102.36 , :=( Z, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43304, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, Z ), X ) ), X ), 'least_upper_bound'( X
% 101.92/102.36 , Y ) ) ] )
% 101.92/102.36 , clause( 43302, [ =( 'least_upper_bound'( Y, Z ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Z, multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 Y ) ), Y ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 544, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, X ), Y ) ), Y ), 'least_upper_bound'( Y
% 101.92/102.36 , Z ) ) ] )
% 101.92/102.36 , clause( 43304, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, Z ), X ) ), X ), 'least_upper_bound'( X
% 101.92/102.36 , Y ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43306, [ =( Y, 'least_upper_bound'( multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, X ), Y ), Y ) ) ] )
% 101.92/102.36 , clause( 533, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.36 identity, Y ), X ), X ), X ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43307, [ =( X, 'least_upper_bound'( multiply(
% 101.92/102.36 'greatest_lower_bound'( Y, identity ), X ), X ) ) ] )
% 101.92/102.36 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 101.92/102.36 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.92/102.36 , 0, clause( 43306, [ =( Y, 'least_upper_bound'( multiply(
% 101.92/102.36 'greatest_lower_bound'( identity, X ), Y ), Y ) ) ] )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.36 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43310, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.36 Y, identity ), X ), X ), X ) ] )
% 101.92/102.36 , clause( 43307, [ =( X, 'least_upper_bound'( multiply(
% 101.92/102.36 'greatest_lower_bound'( Y, identity ), X ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 548, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 101.92/102.36 , identity ), Y ), Y ), Y ) ] )
% 101.92/102.36 , clause( 43310, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.36 Y, identity ), X ), X ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43312, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( X, Y ), X ) ) ] )
% 101.92/102.36 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.36 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43314, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.36 X, identity ), Y ), Y ), 'least_upper_bound'( Y, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 101.92/102.36 , clause( 548, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.36 X, identity ), Y ), Y ), Y ) ] )
% 101.92/102.36 , 0, clause( 43312, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( X, Y ), X ) ) ] )
% 101.92/102.36 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( 'greatest_lower_bound'( X, identity ), Y ) ), :=( Y, Y )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43315, [ =( Y, 'least_upper_bound'( Y, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 101.92/102.36 , clause( 548, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 101.92/102.36 X, identity ), Y ), Y ), Y ) ] )
% 101.92/102.36 , 0, clause( 43314, [ =( 'least_upper_bound'( multiply(
% 101.92/102.36 'greatest_lower_bound'( X, identity ), Y ), Y ), 'least_upper_bound'( Y,
% 101.92/102.36 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43317, [ =( 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( Y, identity ), X ) ), X ) ] )
% 101.92/102.36 , clause( 43315, [ =( Y, 'least_upper_bound'( Y, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 573, [ =( 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'(
% 101.92/102.36 X, identity ), Y ) ), Y ) ] )
% 101.92/102.36 , clause( 43317, [ =( 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( Y, identity ), X ) ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43320, [ =( X, 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( Y, identity ), X ) ) ) ] )
% 101.92/102.36 , clause( 573, [ =( 'least_upper_bound'( Y, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, identity ), Y ) ), Y ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43321, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 identity ) ) ] )
% 101.92/102.36 , clause( 220, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.36 , 0, clause( 43320, [ =( X, 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( Y, identity ), X ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 101.92/102.36 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 101.92/102.36 ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43322, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , clause( 43321, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 identity ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 582, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , clause( 43322, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43324, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 433, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43328, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 X, identity ), Y ), Y ), 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.36 multiply( 'least_upper_bound'( X, identity ), Y ), Y ), Y ) ) ] )
% 101.92/102.36 , clause( 536, [ =( 'greatest_lower_bound'( Y, multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), Y ) ), Y ) ] )
% 101.92/102.36 , 0, clause( 43324, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.36 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( 'least_upper_bound'( X, identity ), Y ) ), :=( Y, Y )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43330, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 X, identity ), Y ), Y ), Y ) ] )
% 101.92/102.36 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , 0, clause( 43328, [ =( 'greatest_lower_bound'( multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), Y ), Y ), 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( multiply( 'least_upper_bound'( X, identity ), Y )
% 101.92/102.36 , Y ), Y ) ) ] )
% 101.92/102.36 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, multiply( 'least_upper_bound'(
% 101.92/102.36 X, identity ), Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 589, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( Y
% 101.92/102.36 , identity ), X ), X ), X ) ] )
% 101.92/102.36 , clause( 43330, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 X, identity ), Y ), Y ), Y ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43333, [ =( X, 'greatest_lower_bound'( X, multiply(
% 101.92/102.36 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 101.92/102.36 , clause( 536, [ =( 'greatest_lower_bound'( Y, multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), Y ) ), Y ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43334, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.36 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.36 identity ) ) ] )
% 101.92/102.36 , clause( 246, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 101.92/102.36 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.36 , 0, clause( 43333, [ =( X, 'greatest_lower_bound'( X, multiply(
% 101.92/102.36 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 101.92/102.36 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 101.92/102.36 , :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43335, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 43334, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.36 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.36 identity ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 601, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 43335, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43336, [ =( Y, 'greatest_lower_bound'( multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), Y ), Y ) ) ] )
% 101.92/102.36 , clause( 589, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 Y, identity ), X ), X ), X ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43337, [ =( X, 'greatest_lower_bound'( multiply(
% 101.92/102.36 'least_upper_bound'( identity, Y ), X ), X ) ) ] )
% 101.92/102.36 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 101.92/102.36 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.36 , 0, clause( 43336, [ =( Y, 'greatest_lower_bound'( multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), Y ), Y ) ) ] )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 101.92/102.36 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43340, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 identity, Y ), X ), X ), X ) ] )
% 101.92/102.36 , clause( 43337, [ =( X, 'greatest_lower_bound'( multiply(
% 101.92/102.36 'least_upper_bound'( identity, Y ), X ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 615, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 identity, X ), Y ), Y ), Y ) ] )
% 101.92/102.36 , clause( 43340, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 identity, Y ), X ), X ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43342, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43345, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 101.92/102.36 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), Y ), Y
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 615, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 identity, X ), Y ), Y ), Y ) ] )
% 101.92/102.36 , 0, clause( 43342, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.36 X, Y ) ) ) ] )
% 101.92/102.36 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( 'least_upper_bound'( identity, X ), Y ) ), :=( Y, Y )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43346, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 43345, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 101.92/102.36 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), Y ), Y
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 631, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 43346, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43348, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X ),
% 101.92/102.36 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 512, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.36 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43382, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.36 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 101.92/102.36 multiply( X, identity ) ), identity ) ) ] )
% 101.92/102.36 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 101.92/102.36 identity ) ] )
% 101.92/102.36 , 0, clause( 43348, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X
% 101.92/102.36 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 inverse( multiply( X, identity ) ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43384, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.36 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 101.92/102.36 ), identity ) ) ] )
% 101.92/102.36 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.36 , 0, clause( 43382, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.36 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 101.92/102.36 multiply( X, identity ) ), identity ) ) ] )
% 101.92/102.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43385, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.36 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.36 , 0, clause( 43384, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.36 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 101.92/102.36 ), identity ) ) ] )
% 101.92/102.36 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 667, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 101.92/102.36 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 43385, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.36 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43389, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 101.92/102.36 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 101.92/102.36 , clause( 169, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 101.92/102.36 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43390, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43391, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 101.92/102.36 multiply( Y, X ), X ) ), 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , clause( 43389, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 101.92/102.36 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 101.92/102.36 , 0, clause( 43390, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 101.92/102.36 ), X ) ) ] )
% 101.92/102.36 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, 'greatest_lower_bound'( Y, identity ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43392, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( Y
% 101.92/102.36 , X ), X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse( X ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , clause( 43391, [ =( inverse( X ), multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( multiply( Y, X ), X ) ), 'greatest_lower_bound'(
% 101.92/102.36 Y, identity ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 710, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X, Y
% 101.92/102.36 ), Y ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 101.92/102.36 , clause( 43392, [ =( multiply( inverse( 'greatest_lower_bound'( multiply(
% 101.92/102.36 Y, X ), X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse( X ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43394, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.92/102.36 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.36 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43409, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( X,
% 101.92/102.36 multiply( Y, identity ) ) ) ) ] )
% 101.92/102.36 , clause( 512, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.36 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 101.92/102.36 , 0, clause( 43394, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 101.92/102.36 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, identity )] ), substitution(
% 101.92/102.36 1, [ :=( X, X ), :=( Y, multiply( Y, identity ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43412, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( multiply(
% 101.92/102.36 X, Y ), identity ) ) ) ] )
% 101.92/102.36 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.36 ), Z ) ) ] )
% 101.92/102.36 , 0, clause( 43409, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( X,
% 101.92/102.36 multiply( Y, identity ) ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43415, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( X, Y ) ) )
% 101.92/102.36 ] )
% 101.92/102.36 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.36 , 0, clause( 43412, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( multiply(
% 101.92/102.36 X, Y ), identity ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 101.92/102.36 , [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43417, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ) ), identity ), 'greatest_lower_bound'( X, multiply( X, Y ) ) )
% 101.92/102.36 ] )
% 101.92/102.36 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.36 ), Z ) ) ] )
% 101.92/102.36 , 0, clause( 43415, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( X, Y ) ) )
% 101.92/102.36 ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X ), :=( Y
% 101.92/102.36 , Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43418, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 101.92/102.36 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.36 , 0, clause( 43417, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ) ), identity ), 'greatest_lower_bound'( X, multiply( X, Y ) ) )
% 101.92/102.36 ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43419, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.36 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , clause( 43418, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 101.92/102.36 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 721, [ =( 'greatest_lower_bound'( Y, multiply( Y, X ) ), multiply(
% 101.92/102.36 Y, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.92/102.36 , clause( 43419, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 101.92/102.36 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43420, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.92/102.36 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.36 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43422, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.92/102.36 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.36 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.92/102.36 , X ) ) ] )
% 101.92/102.36 , 0, clause( 43420, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 101.92/102.36 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 772, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.92/102.36 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.36 , clause( 43422, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 101.92/102.36 , 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43430, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.92/102.36 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.36 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43434, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.36 , 0, clause( 43430, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 101.92/102.36 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 inverse( X ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 774, [ =( multiply( inverse( X ), 'greatest_lower_bound'( identity
% 101.92/102.36 , X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 43434, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43438, [ =( inverse( multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ) ) ), inverse( 'greatest_lower_bound'( multiply( X, Y ), X ) )
% 101.92/102.36 ) ] )
% 101.92/102.36 , clause( 721, [ =( 'greatest_lower_bound'( Y, multiply( Y, X ) ), multiply(
% 101.92/102.36 Y, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.92/102.36 , 0, clause( 212, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 902, [ =( inverse( multiply( X, 'greatest_lower_bound'( Y, identity
% 101.92/102.36 ) ) ), inverse( 'greatest_lower_bound'( multiply( X, Y ), X ) ) ) ] )
% 101.92/102.36 , clause( 43438, [ =( inverse( multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ) ) ), inverse( 'greatest_lower_bound'( multiply( X, Y ), X ) )
% 101.92/102.36 ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43441, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.36 , clause( 32, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43442, [ =( X, 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 101.92/102.36 ) ] )
% 101.92/102.36 , clause( 721, [ =( 'greatest_lower_bound'( Y, multiply( Y, X ) ), multiply(
% 101.92/102.36 Y, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.92/102.36 , 0, clause( 43441, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.92/102.36 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y
% 101.92/102.36 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43444, [ =( 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , clause( 43442, [ =( X, 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 101.92/102.36 ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 911, [ =( 'least_upper_bound'( X, multiply( 'greatest_lower_bound'(
% 101.92/102.36 X, Y ), 'greatest_lower_bound'( Z, identity ) ) ), X ) ] )
% 101.92/102.36 , clause( 43444, [ =( 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43447, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 101.92/102.36 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 721, [ =( 'greatest_lower_bound'( Y, multiply( Y, X ) ), multiply(
% 101.92/102.36 Y, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43451, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 101.92/102.36 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.36 , 0, clause( 43447, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 101.92/102.36 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 inverse( X ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 917, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 101.92/102.36 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 43451, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 101.92/102.36 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43466, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 101.92/102.36 ), Z ) ) ] )
% 101.92/102.36 , clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 101.92/102.36 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , 0, clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.36 multiply( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 962, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 101.92/102.36 ), Z ) ) ] )
% 101.92/102.36 , clause( 43466, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.36 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 101.92/102.36 ), Z ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43469, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.36 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 101.92/102.36 , X ), Y ) ) ) ] )
% 101.92/102.36 , clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 101.92/102.36 'least_upper_bound'( Y, Z ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43472, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.36 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.36 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.36 , 0, clause( 43469, [ =( 'least_upper_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Z, X ), Y ) ) ) ] )
% 101.92/102.36 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43478, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.36 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.36 , clause( 43472, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.36 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 974, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 101.92/102.36 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 101.92/102.36 , clause( 43478, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.36 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43482, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 101.92/102.36 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.36 , 0, clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply(
% 101.92/102.36 Y, identity ) ) ] )
% 101.92/102.36 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 101.92/102.36 :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.36 , clause( 43482, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43485, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.36 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.36 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.36 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43487, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 101.92/102.36 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.36 , 0, clause( 43485, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.92/102.36 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.92/102.36 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1010, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 101.92/102.36 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , clause( 43487, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 101.92/102.36 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 101.92/102.36 ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43490, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.36 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.92/102.36 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43491, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.92/102.36 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , clause( 43490, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.36 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 101.92/102.36 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1067, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.92/102.36 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , clause( 43491, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.36 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43494, [ =( inverse( multiply( X, 'least_upper_bound'( identity, Y
% 101.92/102.36 ) ) ), inverse( 'least_upper_bound'( multiply( X, Y ), X ) ) ) ] )
% 101.92/102.36 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.92/102.36 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 239, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 101.92/102.36 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1078, [ =( inverse( multiply( X, 'least_upper_bound'( identity, Y )
% 101.92/102.36 ) ), inverse( 'least_upper_bound'( multiply( X, Y ), X ) ) ) ] )
% 101.92/102.36 , clause( 43494, [ =( inverse( multiply( X, 'least_upper_bound'( identity,
% 101.92/102.36 Y ) ) ), inverse( 'least_upper_bound'( multiply( X, Y ), X ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43496, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.36 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.92/102.36 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43498, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.36 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.36 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.92/102.36 ) ] )
% 101.92/102.36 , 0, clause( 43496, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 101.92/102.36 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1094, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.36 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.36 , clause( 43498, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.36 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43506, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.36 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.92/102.36 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43510, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 101.92/102.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.36 , 0, clause( 43506, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 101.92/102.36 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 inverse( X ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1096, [ =( multiply( inverse( X ), 'least_upper_bound'( identity, X
% 101.92/102.36 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 43510, [ =( multiply( inverse( X ), 'least_upper_bound'( identity
% 101.92/102.36 , X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43513, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 101.92/102.36 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 1067, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.36 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43514, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.92/102.36 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43515, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 101.92/102.36 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.92/102.36 , clause( 43513, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 101.92/102.36 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43514, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43516, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 101.92/102.36 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 101.92/102.36 , clause( 43515, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y )
% 101.92/102.36 ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1100, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 101.92/102.36 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 101.92/102.36 , clause( 43516, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 101.92/102.36 , inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43518, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 101.92/102.36 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 101.92/102.36 , clause( 155, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 101.92/102.36 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , 0, clause( 239, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 101.92/102.36 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1178, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 101.92/102.36 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 101.92/102.36 , clause( 43518, [ =( inverse( multiply( X, 'least_upper_bound'( Y,
% 101.92/102.36 identity ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43520, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 101.92/102.36 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.36 'least_upper_bound'( identity, Y ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43541, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 101.92/102.36 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 101.92/102.36 , clause( 1067, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.36 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , 0, clause( 43520, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 101.92/102.36 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43543, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 101.92/102.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 101.92/102.36 , clause( 43541, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 101.92/102.36 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1186, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 101.92/102.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 101.92/102.36 , clause( 43543, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 101.92/102.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43545, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 101.92/102.36 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.36 'least_upper_bound'( identity, Y ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43558, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 101.92/102.36 identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply( identity,
% 101.92/102.36 X ), Y ) ) ) ] )
% 101.92/102.36 , clause( 1067, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 101.92/102.36 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , 0, clause( 43545, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 101.92/102.36 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 101.92/102.36 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43561, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 101.92/102.36 identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.36 , 0, clause( 43558, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 101.92/102.36 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply(
% 101.92/102.36 identity, X ), Y ) ) ) ] )
% 101.92/102.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.36 :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43563, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 101.92/102.36 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.36 , 0, clause( 43561, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 101.92/102.36 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43564, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.92/102.36 , clause( 43563, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 101.92/102.36 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1187, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.92/102.36 , clause( 43564, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43565, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 101.92/102.36 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 101.92/102.36 'least_upper_bound'( identity, Y ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43586, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 101.92/102.36 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.92/102.36 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43565, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 101.92/102.36 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43588, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 101.92/102.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 101.92/102.36 , clause( 43586, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 101.92/102.36 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1188, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 101.92/102.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 101.92/102.36 , clause( 43588, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 101.92/102.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43590, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ),
% 101.92/102.36 X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.36 , clause( 1187, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.92/102.36 , 0, clause( 239, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 101.92/102.36 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1245, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 101.92/102.36 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.36 , clause( 43590, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 101.92/102.36 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43593, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 101.92/102.36 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , clause( 1187, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43597, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 101.92/102.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.36 , 0, clause( 43593, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 101.92/102.36 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 inverse( X ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1256, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 101.92/102.36 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , clause( 43597, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 101.92/102.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43600, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 101.92/102.36 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 101.92/102.36 , clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 101.92/102.36 'least_upper_bound'( Y, identity ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43601, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43602, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 101.92/102.36 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , clause( 43600, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 101.92/102.36 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 101.92/102.36 , 0, clause( 43601, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 101.92/102.36 ), X ) ) ] )
% 101.92/102.36 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43603, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 101.92/102.36 ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 101.92/102.36 , clause( 43602, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 101.92/102.36 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1296, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 101.92/102.36 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 101.92/102.36 , clause( 43603, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 101.92/102.36 X ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43605, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43607, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.92/102.36 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'( X,
% 101.92/102.36 identity ) ) ) ] )
% 101.92/102.36 , clause( 1256, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 101.92/102.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , 0, clause( 43605, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 101.92/102.36 ), X ) ) ] )
% 101.92/102.36 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 'least_upper_bound'( X, identity ) ), :=( Y, inverse( X ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43608, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X )
% 101.92/102.36 , identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 101.92/102.36 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.36 , 0, clause( 43607, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.92/102.36 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'( X,
% 101.92/102.36 identity ) ) ) ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43609, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 101.92/102.36 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 101.92/102.36 , clause( 43608, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X
% 101.92/102.36 ), identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1302, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 101.92/102.36 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 101.92/102.36 , clause( 43609, [ =( multiply( inverse( 'least_upper_bound'( inverse( X )
% 101.92/102.36 , identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43611, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 101.92/102.36 , clause( 1256, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 101.92/102.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43613, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ), identity ), multiply( 'least_upper_bound'( identity, X )
% 101.92/102.36 , inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 101.92/102.36 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.36 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.36 , 0, clause( 43611, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.36 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 101.92/102.36 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 101.92/102.36 1, [ :=( X, 'least_upper_bound'( identity, X ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43614, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ), identity ), identity ) ] )
% 101.92/102.36 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.36 , 0, clause( 43613, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ), identity ), multiply( 'least_upper_bound'( identity, X )
% 101.92/102.36 , inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 101.92/102.36 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1307, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ), identity ), identity ) ] )
% 101.92/102.36 , clause( 43614, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ), identity ), identity ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43617, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 101.92/102.36 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 101.92/102.36 , clause( 1256, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 101.92/102.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43619, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 101.92/102.36 identity ) ), identity ), multiply( 'least_upper_bound'( X, identity ),
% 101.92/102.36 inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 101.92/102.36 , clause( 28, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 101.92/102.36 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.36 , 0, clause( 43617, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.36 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 101.92/102.36 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 101.92/102.36 1, [ :=( X, 'least_upper_bound'( X, identity ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43620, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 101.92/102.36 identity ) ), identity ), identity ) ] )
% 101.92/102.36 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.36 , 0, clause( 43619, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 X, identity ) ), identity ), multiply( 'least_upper_bound'( X, identity )
% 101.92/102.36 , inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 101.92/102.36 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1308, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 101.92/102.36 identity ) ), identity ), identity ) ] )
% 101.92/102.36 , clause( 43620, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 101.92/102.36 , identity ) ), identity ), identity ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43623, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43624, [ =( 'least_upper_bound'( identity, Y ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Y, inverse( 'least_upper_bound'( identity, X ) ) ),
% 101.92/102.36 identity ) ) ] )
% 101.92/102.36 , clause( 1307, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ), identity ), identity ) ] )
% 101.92/102.36 , 0, clause( 43623, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 101.92/102.36 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 101.92/102.36 :=( Y, inverse( 'least_upper_bound'( identity, X ) ) ), :=( Z, identity )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43626, [ =( 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 101.92/102.36 'least_upper_bound'( identity, Y ) ) ), identity ), 'least_upper_bound'(
% 101.92/102.36 identity, X ) ) ] )
% 101.92/102.36 , clause( 43624, [ =( 'least_upper_bound'( identity, Y ),
% 101.92/102.36 'least_upper_bound'( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ) ), identity ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1319, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 101.92/102.36 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 101.92/102.36 identity, Y ) ) ] )
% 101.92/102.36 , clause( 43626, [ =( 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 101.92/102.36 'least_upper_bound'( identity, Y ) ) ), identity ), 'least_upper_bound'(
% 101.92/102.36 identity, X ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43629, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.92/102.36 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43630, [ =( X, multiply( multiply( 'least_upper_bound'( identity, X
% 101.92/102.36 ), X ), inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 101.92/102.36 , clause( 1186, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 101.92/102.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 101.92/102.36 , 0, clause( 43629, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.36 :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43631, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 101.92/102.36 , X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 101.92/102.36 , clause( 43630, [ =( X, multiply( multiply( 'least_upper_bound'( identity
% 101.92/102.36 , X ), X ), inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1506, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 101.92/102.36 X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 101.92/102.36 , clause( 43631, [ =( multiply( multiply( 'least_upper_bound'( identity, X
% 101.92/102.36 ), X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43633, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 101.92/102.36 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , clause( 68, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 101.92/102.36 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43637, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 101.92/102.36 ), Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ), multiply( X
% 101.92/102.36 , Z ) ) ) ] )
% 101.92/102.36 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.36 , 0, clause( 43633, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 101.92/102.36 , T ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 101.92/102.36 X, T ) ) ) ] )
% 101.92/102.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.36 :=( Y, inverse( X ) ), :=( Z, Y ), :=( T, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43639, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 101.92/102.36 ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 101.92/102.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.36 , 0, clause( 43637, [ =( multiply( X, 'least_upper_bound'( multiply(
% 101.92/102.36 inverse( X ), Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ),
% 101.92/102.36 multiply( X, Z ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.36 :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1515, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X )
% 101.92/102.36 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 101.92/102.36 , clause( 43639, [ =( multiply( X, 'least_upper_bound'( multiply( inverse(
% 101.92/102.36 X ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43642, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 101.92/102.36 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , clause( 68, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 101.92/102.36 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43646, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 101.92/102.36 X, Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ), multiply(
% 101.92/102.36 inverse( X ), Z ) ) ) ] )
% 101.92/102.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.36 , 0, clause( 43642, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 101.92/102.36 , T ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 101.92/102.36 X, T ) ) ) ] )
% 101.92/102.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 inverse( X ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43648, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 101.92/102.36 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.36 , 0, clause( 43646, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 101.92/102.36 multiply( X, Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ),
% 101.92/102.36 multiply( inverse( X ), Z ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.36 :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1516, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply( X
% 101.92/102.36 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , clause( 43648, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 101.92/102.36 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43651, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 101.92/102.36 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , clause( 69, [ =( 'least_upper_bound'( multiply( X, T ), multiply(
% 101.92/102.36 multiply( X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y
% 101.92/102.36 , Z ) ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43656, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 101.92/102.36 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 101.92/102.36 multiply( identity, Z ) ) ) ] )
% 101.92/102.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.36 , 0, clause( 43651, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z,
% 101.92/102.36 T ) ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z
% 101.92/102.36 ), T ) ) ) ] )
% 101.92/102.36 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 inverse( X ) ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43657, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 101.92/102.36 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.36 , 0, clause( 43656, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 101.92/102.36 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 101.92/102.36 multiply( identity, Z ) ) ) ] )
% 101.92/102.36 , 0, 14, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.36 :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1542, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 101.92/102.36 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 101.92/102.36 , clause( 43657, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 101.92/102.36 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43660, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.36 multiply( inverse( X ), 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.92/102.36 , clause( 917, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 101.92/102.36 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43662, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), identity ), multiply( inverse( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.36 , 0, clause( 43660, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.36 multiply( inverse( X ), 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.92/102.36 , 0, 12, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 101.92/102.36 substitution( 1, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43663, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), identity ), identity ) ] )
% 101.92/102.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.36 , 0, clause( 43662, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, X ) ), identity ), multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, X ) ), 'greatest_lower_bound'( identity
% 101.92/102.36 , X ) ) ) ] )
% 101.92/102.36 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 101.92/102.36 , substitution( 1, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1550, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), identity ), identity ) ] )
% 101.92/102.36 , clause( 43663, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, X ) ), identity ), identity ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43666, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43669, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.36 multiply( inverse( 'least_upper_bound'( identity, multiply( X, Y ) ) ), X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 71, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.36 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43666, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 101.92/102.36 ), X ) ) ] )
% 101.92/102.36 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, 'least_upper_bound'( inverse( X ), Y ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43670, [ =( multiply( inverse( 'least_upper_bound'( identity,
% 101.92/102.36 multiply( X, Y ) ) ), X ), inverse( 'least_upper_bound'( inverse( X ), Y
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , clause( 43669, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.36 multiply( inverse( 'least_upper_bound'( identity, multiply( X, Y ) ) ), X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1596, [ =( multiply( inverse( 'least_upper_bound'( identity,
% 101.92/102.36 multiply( X, Y ) ) ), X ), inverse( 'least_upper_bound'( inverse( X ), Y
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , clause( 43670, [ =( multiply( inverse( 'least_upper_bound'( identity,
% 101.92/102.36 multiply( X, Y ) ) ), X ), inverse( 'least_upper_bound'( inverse( X ), Y
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43672, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43675, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 101.92/102.36 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 101.92/102.36 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 101.92/102.36 , 0, clause( 43672, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 101.92/102.36 ), X ) ) ] )
% 101.92/102.36 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, Y ), :=( Y, 'least_upper_bound'( X, inverse( Y ) ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43676, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 101.92/102.36 ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 101.92/102.36 ) ] )
% 101.92/102.36 , clause( 43675, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 101.92/102.36 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1635, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 101.92/102.36 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 101.92/102.36 ] )
% 101.92/102.36 , clause( 43676, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 101.92/102.36 X ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 101.92/102.36 ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43677, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 101.92/102.36 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 101.92/102.36 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 101.92/102.36 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43678, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.92/102.36 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43679, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 101.92/102.36 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 101.92/102.36 ] )
% 101.92/102.36 , clause( 43677, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 101.92/102.36 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43678, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43680, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 43679, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 101.92/102.36 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 101.92/102.36 ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1705, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 43680, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43682, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 101.92/102.36 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 101.92/102.36 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 101.92/102.36 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43684, [ =( multiply( inverse( X ), X ), 'least_upper_bound'(
% 101.92/102.36 identity, multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , 0, clause( 43682, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 101.92/102.36 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 101.92/102.36 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43685, [ =( identity, 'least_upper_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 101.92/102.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.36 , 0, clause( 43684, [ =( multiply( inverse( X ), X ), 'least_upper_bound'(
% 101.92/102.36 identity, multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.36 :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43686, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.36 , clause( 43685, [ =( identity, 'least_upper_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1734, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.36 , clause( 43686, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 101.92/102.36 , 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43688, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43689, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 101.92/102.36 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 101.92/102.36 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43688, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.36 X, Y ) ) ) ] )
% 101.92/102.36 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43690, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 101.92/102.36 ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.36 , clause( 43689, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1737, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 101.92/102.36 , 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.36 , clause( 43690, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 101.92/102.36 X ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43692, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 101.92/102.36 ) ) ) ] )
% 101.92/102.36 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43693, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 101.92/102.36 , clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 101.92/102.36 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.36 , 0, clause( 43692, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.36 Y, X ) ) ) ] )
% 101.92/102.36 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43694, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 101.92/102.36 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.36 , clause( 43693, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1849, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 101.92/102.36 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.36 , clause( 43694, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 101.92/102.36 X ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43696, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 101.92/102.36 , Y ) ) ] )
% 101.92/102.36 , clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43697, [ =( identity, 'greatest_lower_bound'( multiply( inverse( X
% 101.92/102.36 ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 101.92/102.36 , clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 101.92/102.36 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.36 , 0, clause( 43696, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X
% 101.92/102.36 , Y ), Y ) ) ] )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( inverse( X ), Y ) ), :=( Y, identity )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43698, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 101.92/102.36 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 101.92/102.36 , clause( 43697, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 X ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1850, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 101.92/102.36 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 101.92/102.36 , clause( 43698, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 101.92/102.36 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43700, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 101.92/102.36 , clause( 1849, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 101.92/102.36 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43701, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 101.92/102.36 ] )
% 101.92/102.36 , clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.36 , 0, clause( 43700, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.36 multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 101.92/102.36 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'(
% 101.92/102.36 'least_upper_bound'( Y, X ), Z ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43702, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 101.92/102.36 ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ), identity )
% 101.92/102.36 ] )
% 101.92/102.36 , clause( 43701, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 101.92/102.36 ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1858, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Y )
% 101.92/102.36 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ), identity ) ]
% 101.92/102.36 )
% 101.92/102.36 , clause( 43702, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 101.92/102.36 X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ), identity
% 101.92/102.36 ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43704, [ =( identity, 'greatest_lower_bound'( multiply( inverse( X
% 101.92/102.36 ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 101.92/102.36 , clause( 1850, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 101.92/102.36 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43709, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ), identity ),
% 101.92/102.36 identity ) ) ] )
% 101.92/102.36 , clause( 1734, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 101.92/102.36 , 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 101.92/102.36 , 0, clause( 43704, [ =( identity, 'greatest_lower_bound'( multiply(
% 101.92/102.36 inverse( X ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 101.92/102.36 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ), :=( Y
% 101.92/102.36 , identity )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43710, [ =( identity, 'greatest_lower_bound'( inverse( multiply(
% 101.92/102.36 inverse( X ), 'greatest_lower_bound'( Y, X ) ) ), identity ) ) ] )
% 101.92/102.36 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.36 , 0, clause( 43709, [ =( identity, 'greatest_lower_bound'( multiply(
% 101.92/102.36 inverse( multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ),
% 101.92/102.36 identity ), identity ) ) ] )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, inverse( multiply( inverse( X ),
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ) ) )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.36 :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43711, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ), X ), identity ) ) ] )
% 101.92/102.36 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.92/102.36 inverse( Y ), X ) ) ] )
% 101.92/102.36 , 0, clause( 43710, [ =( identity, 'greatest_lower_bound'( inverse(
% 101.92/102.36 multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ), identity ) )
% 101.92/102.36 ] )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 101.92/102.36 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43712, [ =( 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), Y ), identity ), identity ) ] )
% 101.92/102.36 , clause( 43711, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ), X ), identity ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1883, [ =( 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 101.92/102.36 , clause( 43712, [ =( 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), Y ), identity ), identity ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43714, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Z, X ) ) ) ] )
% 101.92/102.36 , clause( 204, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.36 , 'least_upper_bound'( Z, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43718, [ =( 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), Y ), identity ), 'greatest_lower_bound'(
% 101.92/102.36 identity, 'least_upper_bound'( Z, multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), Y ) ) ) ) ] )
% 101.92/102.36 , clause( 1883, [ =( 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 101.92/102.36 , 0, clause( 43714, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 'least_upper_bound'( Z, X ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ), :=( Y
% 101.92/102.36 , identity ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43719, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.36 'least_upper_bound'( Z, multiply( inverse( 'greatest_lower_bound'( X, Y )
% 101.92/102.36 ), Y ) ) ) ) ] )
% 101.92/102.36 , clause( 1883, [ =( 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 101.92/102.36 , 0, clause( 43718, [ =( 'greatest_lower_bound'( multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), Y ), identity ), 'greatest_lower_bound'(
% 101.92/102.36 identity, 'least_upper_bound'( Z, multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ), Y ) ) ) ) ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43721, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.36 X, multiply( inverse( 'greatest_lower_bound'( Y, Z ) ), Z ) ) ), identity
% 101.92/102.36 ) ] )
% 101.92/102.36 , clause( 43719, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.36 'least_upper_bound'( Z, multiply( inverse( 'greatest_lower_bound'( X, Y )
% 101.92/102.36 ), Y ) ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 1962, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'( Z
% 101.92/102.36 , multiply( inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ), identity
% 101.92/102.36 ) ] )
% 101.92/102.36 , clause( 43721, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.36 X, multiply( inverse( 'greatest_lower_bound'( Y, Z ) ), Z ) ) ), identity
% 101.92/102.36 ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43724, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.36 multiply( 'greatest_lower_bound'( X, identity ), inverse( X ) ) ) ] )
% 101.92/102.36 , clause( 667, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.36 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43731, [ =( 'greatest_lower_bound'( inverse( multiply( X, inverse(
% 101.92/102.36 Y ) ) ), identity ), multiply( 'greatest_lower_bound'( multiply( X,
% 101.92/102.36 inverse( Y ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 101.92/102.36 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.36 inverse( Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43724, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.36 multiply( 'greatest_lower_bound'( X, identity ), inverse( X ) ) ) ] )
% 101.92/102.36 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, multiply( X, inverse( Y ) ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43732, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 101.92/102.36 identity ), multiply( 'greatest_lower_bound'( multiply( X, inverse( Y ) )
% 101.92/102.36 , identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 101.92/102.36 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.36 inverse( Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43731, [ =( 'greatest_lower_bound'( inverse( multiply( X,
% 101.92/102.36 inverse( Y ) ) ), identity ), multiply( 'greatest_lower_bound'( multiply(
% 101.92/102.36 X, inverse( Y ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 101.92/102.36 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43737, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 101.92/102.36 identity ), multiply( multiply( 'greatest_lower_bound'( multiply( Y,
% 101.92/102.36 inverse( X ) ), identity ), X ), inverse( Y ) ) ) ] )
% 101.92/102.36 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.36 ), Z ) ) ] )
% 101.92/102.36 , 0, clause( 43732, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X )
% 101.92/102.36 ), identity ), multiply( 'greatest_lower_bound'( multiply( X, inverse( Y
% 101.92/102.36 ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 101.92/102.36 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( multiply( Y,
% 101.92/102.36 inverse( X ) ), identity ) ), :=( Y, X ), :=( Z, inverse( Y ) )] ),
% 101.92/102.36 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43738, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 101.92/102.36 identity ), multiply( 'greatest_lower_bound'( Y, multiply( identity, X )
% 101.92/102.36 ), inverse( Y ) ) ) ] )
% 101.92/102.36 , clause( 199, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 101.92/102.36 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43737, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y )
% 101.92/102.36 ), identity ), multiply( multiply( 'greatest_lower_bound'( multiply( Y,
% 101.92/102.36 inverse( X ) ), identity ), X ), inverse( Y ) ) ) ] )
% 101.92/102.36 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43739, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 101.92/102.36 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( Y ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.36 , 0, clause( 43738, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y )
% 101.92/102.36 ), identity ), multiply( 'greatest_lower_bound'( Y, multiply( identity,
% 101.92/102.36 X ) ), inverse( Y ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.36 :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43740, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y )
% 101.92/102.36 ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , clause( 43739, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 101.92/102.36 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( Y ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 2147, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) )
% 101.92/102.36 , 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ] )
% 101.92/102.36 , clause( 43740, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y
% 101.92/102.36 ) ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43742, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43744, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ),
% 101.92/102.36 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , clause( 531, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.36 , 0, clause( 43742, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 101.92/102.36 ), X ) ) ] )
% 101.92/102.36 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43745, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 101.92/102.36 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.36 , 0, clause( 43744, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ),
% 101.92/102.36 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43746, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.36 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 101.92/102.36 , clause( 43745, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 101.92/102.36 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 2151, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.36 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 101.92/102.36 , clause( 43746, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 101.92/102.36 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43748, [ =( multiply( X, Z ), 'greatest_lower_bound'(
% 101.92/102.36 'least_upper_bound'( multiply( X, 'least_upper_bound'( Y, Z ) ), T ),
% 101.92/102.36 multiply( X, Z ) ) ) ] )
% 101.92/102.36 , clause( 84, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply( X
% 101.92/102.36 , 'least_upper_bound'( Y, Z ) ), T ), multiply( X, Z ) ), multiply( X, Z
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43749, [ =( multiply( X, Y ), 'greatest_lower_bound'( multiply(
% 101.92/102.36 'least_upper_bound'( X, T ), 'least_upper_bound'( Z, Y ) ), multiply( X,
% 101.92/102.36 Y ) ) ) ] )
% 101.92/102.36 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.92/102.36 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.36 , 0, clause( 43748, [ =( multiply( X, Z ), 'greatest_lower_bound'(
% 101.92/102.36 'least_upper_bound'( multiply( X, 'least_upper_bound'( Y, Z ) ), T ),
% 101.92/102.36 multiply( X, Z ) ) ) ] )
% 101.92/102.36 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z,
% 101.92/102.36 'least_upper_bound'( Z, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z
% 101.92/102.36 ), :=( Z, Y ), :=( T, multiply( T, 'least_upper_bound'( Z, Y ) ) )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43751, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 X, Z ), 'least_upper_bound'( T, Y ) ), multiply( X, Y ) ), multiply( X, Y
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 43749, [ =( multiply( X, Y ), 'greatest_lower_bound'( multiply(
% 101.92/102.36 'least_upper_bound'( X, T ), 'least_upper_bound'( Z, Y ) ), multiply( X,
% 101.92/102.36 Y ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 2278, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( X
% 101.92/102.36 , T ), 'least_upper_bound'( Y, Z ) ), multiply( X, Z ) ), multiply( X, Z
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 43751, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.36 X, Z ), 'least_upper_bound'( T, Y ) ), multiply( X, Y ) ), multiply( X, Y
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] ),
% 101.92/102.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43754, [ =( X, 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 101.92/102.36 ) ] )
% 101.92/102.36 , clause( 911, [ =( 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 101.92/102.36 , X ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43756, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 multiply( identity, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 101.92/102.36 , clause( 1550, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, X ) ), identity ), identity ) ] )
% 101.92/102.36 , 0, clause( 43754, [ =( X, 'least_upper_bound'( X, multiply(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 101.92/102.36 ) ] )
% 101.92/102.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 inverse( 'greatest_lower_bound'( identity, X ) ) ), :=( Y, identity ),
% 101.92/102.36 :=( Z, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43758, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.36 , 0, clause( 43756, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 multiply( identity, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 101.92/102.36 , 0, 10, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, identity ) )] )
% 101.92/102.36 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43759, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , clause( 43758, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 2306, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , clause( 43759, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43761, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 101.92/102.36 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 101.92/102.36 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.36 , clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.36 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 101.92/102.36 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43764, [ =( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , clause( 601, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, clause( 43761, [ =( 'greatest_lower_bound'( Y, Z ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.92/102.36 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.92/102.36 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 101.92/102.36 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43769, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 101.92/102.36 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 101.92/102.36 , clause( 43764, [ =( 'greatest_lower_bound'( identity, X ),
% 101.92/102.36 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.36 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 2568, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 101.92/102.36 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 101.92/102.36 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 101.92/102.36 , clause( 43769, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 101.92/102.36 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 101.92/102.36 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43771, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.92/102.36 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43774, [ =( X, multiply( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 X, Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 101.92/102.36 , clause( 102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 101.92/102.36 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43771, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 101.92/102.36 )
% 101.92/102.36 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, 'greatest_lower_bound'( inverse( X ), Y ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43775, [ =( multiply( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.36 , Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.92/102.36 , clause( 43774, [ =( X, multiply( 'greatest_lower_bound'( identity,
% 101.92/102.36 multiply( X, Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 2851, [ =( multiply( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.36 , Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.92/102.36 , clause( 43775, [ =( multiply( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 X, Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ]
% 101.92/102.36 )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43777, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 101.92/102.36 ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43780, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 101.92/102.36 multiply( inverse( 'greatest_lower_bound'( identity, multiply( X, Y ) ) )
% 101.92/102.36 , X ) ) ] )
% 101.92/102.36 , clause( 102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 101.92/102.36 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43777, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 101.92/102.36 ), X ) ) ] )
% 101.92/102.36 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.36 :=( X, X ), :=( Y, 'greatest_lower_bound'( inverse( X ), Y ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43781, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.36 multiply( X, Y ) ) ), X ), inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.36 , Y ) ) ) ] )
% 101.92/102.36 , clause( 43780, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 101.92/102.36 , multiply( inverse( 'greatest_lower_bound'( identity, multiply( X, Y ) )
% 101.92/102.36 ), X ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 2855, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.36 multiply( X, Y ) ) ), X ), inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.36 , Y ) ) ) ] )
% 101.92/102.36 , clause( 43781, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.36 multiply( X, Y ) ) ), X ), inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.36 , Y ) ) ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.36 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43783, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 101.92/102.36 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.36 , clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 101.92/102.36 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43788, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.36 , identity ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 101.92/102.36 , X ), identity ) ), 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.92/102.36 , clause( 2151, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 101.92/102.36 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 101.92/102.36 , 0, clause( 43783, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 101.92/102.36 ), 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.36 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), :=( Y,
% 101.92/102.36 'greatest_lower_bound'( identity, X ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43789, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.36 , identity ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.36 , identity ) ) ) ) ] )
% 101.92/102.36 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.36 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.36 , 0, clause( 43788, [ =( multiply( inverse( 'greatest_lower_bound'( inverse(
% 101.92/102.36 X ), identity ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.36 identity, X ), identity ) ), 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.92/102.36 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 101.92/102.36 1, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43790, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.92/102.36 , clause( 2151, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 101.92/102.36 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 101.92/102.36 , 0, clause( 43789, [ =( multiply( inverse( 'greatest_lower_bound'( inverse(
% 101.92/102.36 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.36 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.36 , identity ) ) ) ) ] )
% 101.92/102.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.36 ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43791, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.92/102.36 , clause( 43790, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 3199, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.92/102.36 , clause( 43791, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43792, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.92/102.36 , clause( 3199, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43793, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 101.92/102.36 , clause( 212, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 101.92/102.36 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.36 , 0, clause( 43792, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.92/102.36 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 101.92/102.36 substitution( 1, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43799, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 101.92/102.36 , clause( 43793, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 subsumption(
% 101.92/102.36 clause( 3228, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 101.92/102.36 , clause( 43799, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.36 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 101.92/102.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 eqswap(
% 101.92/102.36 clause( 43803, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 101.92/102.36 , clause( 1737, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 101.92/102.36 ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43808, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 inverse( identity ), multiply( 'least_upper_bound'( Y, X ), inverse( Y )
% 101.92/102.36 ) ) ) ) ] )
% 101.92/102.36 , clause( 140, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 101.92/102.36 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 101.92/102.36 , 0, clause( 43803, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.36 multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 101.92/102.36 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.36 :=( X, identity ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43809, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.36 multiply( inverse( identity ), 'least_upper_bound'( X, Y ) ), inverse( X
% 101.92/102.36 ) ) ) ) ] )
% 101.92/102.36 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.36 ), Z ) ) ] )
% 101.92/102.36 , 0, clause( 43808, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.36 multiply( inverse( identity ), multiply( 'least_upper_bound'( Y, X ),
% 101.92/102.36 inverse( Y ) ) ) ) ) ] )
% 101.92/102.36 , 0, 4, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y,
% 101.92/102.36 'least_upper_bound'( X, Y ) ), :=( Z, inverse( X ) )] ), substitution( 1
% 101.92/102.36 , [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.36
% 101.92/102.36
% 101.92/102.36 paramod(
% 101.92/102.36 clause( 43810, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 101.92/102.36 multiply( multiply( X, inverse( 'least_upper_bound'( X, Y ) ) ), identity
% 101.92/102.37 ) ) ) ) ] )
% 101.92/102.37 , clause( 181, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 101.92/102.37 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 101.92/102.37 , 0, clause( 43809, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 multiply( multiply( inverse( identity ), 'least_upper_bound'( X, Y ) ),
% 101.92/102.37 inverse( X ) ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )
% 101.92/102.37 , :=( Z, identity )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43811, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 101.92/102.37 multiply( X, inverse( 'least_upper_bound'( X, Y ) ) ) ) ) ) ] )
% 101.92/102.37 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.37 , 0, clause( 43810, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 inverse( multiply( multiply( X, inverse( 'least_upper_bound'( X, Y ) ) )
% 101.92/102.37 , identity ) ) ) ) ] )
% 101.92/102.37 , 0, 5, substitution( 0, [ :=( X, multiply( X, inverse( 'least_upper_bound'(
% 101.92/102.37 X, Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43812, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 101.92/102.37 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.37 inverse( Y ) ) ) ] )
% 101.92/102.37 , 0, clause( 43811, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 inverse( multiply( X, inverse( 'least_upper_bound'( X, Y ) ) ) ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )
% 101.92/102.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43813, [ =( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , clause( 43812, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 3985, [ =( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( Y, X ), inverse( Y ) ) ), identity ) ] )
% 101.92/102.37 , clause( 43813, [ =( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43815, [ =( multiply( 'least_upper_bound'( Y, X ), inverse( Y ) ),
% 101.92/102.37 'least_upper_bound'( identity, multiply( X, inverse( Y ) ) ) ) ] )
% 101.92/102.37 , clause( 140, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 101.92/102.37 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43816, [ =( multiply( X, inverse( 'greatest_lower_bound'( X, Y ) )
% 101.92/102.37 ), 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 101.92/102.37 , clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, clause( 43815, [ =( multiply( 'least_upper_bound'( Y, X ), inverse( Y
% 101.92/102.37 ) ), 'least_upper_bound'( identity, multiply( X, inverse( Y ) ) ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43817, [ =( 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ) ), multiply( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 101.92/102.37 , clause( 43816, [ =( multiply( X, inverse( 'greatest_lower_bound'( X, Y )
% 101.92/102.37 ) ), 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4022, [ =( 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ) ), multiply( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 101.92/102.37 , clause( 43817, [ =( 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ) ), multiply( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43818, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 101.92/102.37 , clause( 3985, [ =( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( Y, X ), inverse( Y ) ) ), identity ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43819, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( Y, X ), inverse( X ) ) ) ) ] )
% 101.92/102.37 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 101.92/102.37 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.92/102.37 , 0, clause( 43818, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z, Y )] )
% 101.92/102.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43822, [ =( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 101.92/102.37 , clause( 43819, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( Y, X ), inverse( X ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4072, [ =( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , clause( 43822, [ =( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43824, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 101.92/102.37 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.37 , clause( 772, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.92/102.37 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43827, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 101.92/102.37 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), multiply( X, identity
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , clause( 4072, [ =( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , 0, clause( 43824, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 101.92/102.37 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, multiply( 'least_upper_bound'( Y, Z ), inverse( Z ) )
% 101.92/102.37 )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43828, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 101.92/102.37 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), X ) ] )
% 101.92/102.37 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.37 , 0, clause( 43827, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 101.92/102.37 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), multiply( X, identity
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43829, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ), X ) ] )
% 101.92/102.37 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.37 ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 43828, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 101.92/102.37 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), X ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )
% 101.92/102.37 , :=( Z, inverse( Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 101.92/102.37 :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4094, [ =( 'greatest_lower_bound'( multiply( multiply( Z,
% 101.92/102.37 'least_upper_bound'( X, Y ) ), inverse( Y ) ), Z ), Z ) ] )
% 101.92/102.37 , clause( 43829, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.92/102.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43832, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 101.92/102.37 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 101.92/102.37 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43837, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 101.92/102.37 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.92/102.37 , clause( 3228, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 101.92/102.37 , 0, clause( 43832, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 101.92/102.37 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 101.92/102.37 Y ) ) ) ] )
% 101.92/102.37 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 101.92/102.37 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'greatest_lower_bound'(
% 101.92/102.37 identity, inverse( multiply( X, Y ) ) ) ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43838, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 101.92/102.37 inverse( Y ) ) ), X ) ] )
% 101.92/102.37 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.37 , 0, clause( 43837, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 101.92/102.37 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43839, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 101.92/102.37 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 101.92/102.37 ) ] )
% 101.92/102.37 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.37 multiply( X, Y ) ) ) ] )
% 101.92/102.37 , 0, clause( 43838, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 101.92/102.37 inverse( Y ) ) ), X ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'(
% 101.92/102.37 identity, inverse( multiply( X, Y ) ) ) )] ), substitution( 1, [ :=( X, X
% 101.92/102.37 ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43840, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 101.92/102.37 ] )
% 101.92/102.37 , clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse(
% 101.92/102.37 multiply( Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse(
% 101.92/102.37 Y ) ) ) ] )
% 101.92/102.37 , 0, clause( 43839, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 101.92/102.37 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 101.92/102.37 ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43841, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.92/102.37 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.37 , 0, clause( 43840, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 101.92/102.37 ] )
% 101.92/102.37 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4730, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.92/102.37 , clause( 43841, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43844, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 101.92/102.37 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 101.92/102.37 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43849, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 101.92/102.37 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.92/102.37 , clause( 3199, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.92/102.37 , 0, clause( 43844, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 101.92/102.37 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 101.92/102.37 Y ) ) ) ] )
% 101.92/102.37 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 101.92/102.37 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'greatest_lower_bound'(
% 101.92/102.37 inverse( multiply( X, Y ) ), identity ) ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43850, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 101.92/102.37 inverse( Y ) ) ), X ) ] )
% 101.92/102.37 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.37 , 0, clause( 43849, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 101.92/102.37 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43851, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 101.92/102.37 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ) ) ), X
% 101.92/102.37 ) ] )
% 101.92/102.37 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.37 multiply( X, Y ) ) ) ] )
% 101.92/102.37 , 0, clause( 43850, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 101.92/102.37 inverse( Y ) ) ), X ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'(
% 101.92/102.37 inverse( multiply( X, Y ) ), identity ) )] ), substitution( 1, [ :=( X, X
% 101.92/102.37 ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43852, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), multiply( Y, identity ) ) ) ), X )
% 101.92/102.37 ] )
% 101.92/102.37 , clause( 184, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 101.92/102.37 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 101.92/102.37 ) ] )
% 101.92/102.37 , 0, clause( 43851, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 101.92/102.37 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ) ) ), X
% 101.92/102.37 ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43853, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.92/102.37 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.37 , 0, clause( 43852, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), multiply( Y, identity ) ) ) ), X )
% 101.92/102.37 ] )
% 101.92/102.37 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4731, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.92/102.37 , clause( 43853, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43856, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 101.92/102.37 , clause( 4730, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43867, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( inverse( X ), Y ), Z ) )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , clause( 61, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( X, Y ), Z ), X ), 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 43856, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 101.92/102.37 , 0, 5, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, Z )] )
% 101.92/102.37 , substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), Y ), Z ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43868, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( inverse( X ), Y ), Z ) )
% 101.92/102.37 ), X ) ] )
% 101.92/102.37 , clause( 43867, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( inverse( X ), Y ), Z ) )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( inverse( X ), Y ), Z ) )
% 101.92/102.37 ), X ) ] )
% 101.92/102.37 , clause( 43868, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( inverse( X ), Y ), Z ) )
% 101.92/102.37 ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43870, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.37 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.37 , clause( 433, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43874, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 X, inverse( Y ) ) ), Y ), 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.37 inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ), Y ) ) ] )
% 101.92/102.37 , clause( 4730, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.92/102.37 , 0, clause( 43870, [ =( 'greatest_lower_bound'( X, Y ),
% 101.92/102.37 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.37 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43876, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 X, inverse( Y ) ) ), Y ), Y ) ] )
% 101.92/102.37 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, clause( 43874, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ), 'least_upper_bound'(
% 101.92/102.37 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( X, inverse( Y )
% 101.92/102.37 ) ), Y ), Y ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( Y ) ) ) )] ), substitution( 1, [ :=(
% 101.92/102.37 X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4758, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 Y, inverse( X ) ) ), X ), X ) ] )
% 101.92/102.37 , clause( 43876, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ), Y ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43879, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43880, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ),
% 101.92/102.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) )
% 101.92/102.37 , Y ) ) ] )
% 101.92/102.37 , clause( 4730, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.92/102.37 , 0, clause( 43879, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 Y, X ) ) ) ] )
% 101.92/102.37 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43881, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 101.92/102.37 , inverse( Y ) ) ), Y ), inverse( 'greatest_lower_bound'( X, inverse( Y )
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 43880, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) )
% 101.92/102.37 , 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, inverse( Y ) )
% 101.92/102.37 ), Y ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4772, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 101.92/102.37 , inverse( X ) ) ), X ), inverse( 'greatest_lower_bound'( Y, inverse( X )
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 43881, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 X, inverse( Y ) ) ), Y ), inverse( 'greatest_lower_bound'( X, inverse( Y
% 101.92/102.37 ) ) ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43883, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 101.92/102.37 , clause( 4730, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43884, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 101.92/102.37 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 43883, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 101.92/102.37 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 101.92/102.37 X ) ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43885, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , clause( 43884, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 101.92/102.37 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4773, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , clause( 43885, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43886, [ =( Y, 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ) ) ] )
% 101.92/102.37 , clause( 4758, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, inverse( X ) ) ), X ), X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43887, [ =( X, 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 101.92/102.37 , clause( 212, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.37 , 0, clause( 43886, [ =( Y, 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ) ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 101.92/102.37 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43893, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), Y ) ), X ), X ) ] )
% 101.92/102.37 , clause( 43887, [ =( X, 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4779, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 inverse( Y ), X ) ), Y ), Y ) ] )
% 101.92/102.37 , clause( 43893, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43897, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43898, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 101.92/102.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 101.92/102.37 , X ) ) ] )
% 101.92/102.37 , clause( 4779, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( Y ), X ) ), Y ), Y ) ] )
% 101.92/102.37 , 0, clause( 43897, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 X, Y ) ) ) ] )
% 101.92/102.37 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ), :=( Y, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43899, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), Y ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 101.92/102.37 Y ) ) ) ] )
% 101.92/102.37 , clause( 43898, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 101.92/102.37 , 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse( X ), Y )
% 101.92/102.37 ), X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4798, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), Y ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 101.92/102.37 Y ) ) ) ] )
% 101.92/102.37 , clause( 43899, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), Y ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 101.92/102.37 Y ) ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43901, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 101.92/102.37 , clause( 4731, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43902, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 101.92/102.37 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 43901, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 101.92/102.37 X ) ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43903, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , clause( 43902, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 101.92/102.37 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4804, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , clause( 43903, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43905, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.37 , Y ) ) ] )
% 101.92/102.37 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43906, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.37 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ) ] )
% 101.92/102.37 , clause( 4804, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , 0, clause( 43905, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 101.92/102.37 , Y ), Y ) ) ] )
% 101.92/102.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( X ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43907, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 43906, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.37 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4835, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 43907, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43909, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.92/102.37 , Y ) ) ] )
% 101.92/102.37 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43910, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.37 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ) ] )
% 101.92/102.37 , clause( 4773, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , 0, clause( 43909, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 101.92/102.37 , Y ), Y ) ) ] )
% 101.92/102.37 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( Y ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43911, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 43910, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.37 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4858, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 43911, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43913, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43914, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 101.92/102.37 Y ) ) ) ] )
% 101.92/102.37 , clause( 4773, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , 0, clause( 43913, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 Y, X ) ) ) ] )
% 101.92/102.37 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43915, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 101.92/102.37 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.37 , clause( 43914, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 101.92/102.37 Y ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 4859, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 101.92/102.37 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.37 , clause( 43915, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43916, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y )
% 101.92/102.37 ), 'greatest_lower_bound'( identity, multiply( X, inverse( Y ) ) ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , clause( 162, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 101.92/102.37 X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43917, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 101.92/102.37 X ) ) ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ] )
% 101.92/102.37 , clause( 43916, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y
% 101.92/102.37 ) ), 'greatest_lower_bound'( identity, multiply( X, inverse( Y ) ) ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , 0, clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.92/102.37 multiply( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 5165, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 101.92/102.37 X ) ) ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ] )
% 101.92/102.37 , clause( 43917, [ =( 'greatest_lower_bound'( identity, multiply( Y,
% 101.92/102.37 inverse( X ) ) ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43920, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( inverse( X ), Y ), Z ) )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( inverse( X ), Y ), Z ) )
% 101.92/102.37 ), X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43927, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), Y ), Z ), T ) ) ) ) ] )
% 101.92/102.37 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.37 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 43920, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( inverse( X ), Y ), Z ) )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( inverse( X ), Y )
% 101.92/102.37 ), :=( Y, Z ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 101.92/102.37 , :=( Z, 'greatest_lower_bound'( Z, T ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43928, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), Y ), Z ), T ) ) ), X ) ] )
% 101.92/102.37 , clause( 43927, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), Y ), Z ), T ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 5184, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), Y ), Z ), T ) ) ), X ) ] )
% 101.92/102.37 , clause( 43928, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), Y ), Z ), T ) ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 101.92/102.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43930, [ =( inverse( 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.37 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( Y, X
% 101.92/102.37 ) ) ) ) ] )
% 101.92/102.37 , clause( 4858, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43934, [ =( inverse( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.37 Y, X ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X ) ),
% 101.92/102.37 inverse( X ) ) ) ] )
% 101.92/102.37 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, clause( 43930, [ =( inverse( 'greatest_lower_bound'( Y, X ) ),
% 101.92/102.37 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( Y, X
% 101.92/102.37 ) ) ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43935, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 101.92/102.37 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 101.92/102.37 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, clause( 43934, [ =( inverse( 'greatest_lower_bound'( X,
% 101.92/102.37 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 101.92/102.37 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43937, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 101.92/102.37 ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.92/102.37 , clause( 43935, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 101.92/102.37 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 5288, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 101.92/102.37 ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.92/102.37 , clause( 43937, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 101.92/102.37 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43940, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.37 , clause( 974, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 101.92/102.37 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43944, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'least_upper_bound'( Y, X ) ) ), 'greatest_lower_bound'(
% 101.92/102.37 'least_upper_bound'( inverse( X ), inverse( 'least_upper_bound'( Y, X ) )
% 101.92/102.37 ), inverse( X ) ) ) ] )
% 101.92/102.37 , clause( 5288, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.92/102.37 X ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.92/102.37 , 0, clause( 43940, [ =( 'least_upper_bound'( X, Y ),
% 101.92/102.37 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.37 Y, X ) ) ) ] )
% 101.92/102.37 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( X ) ), :=( Y, inverse( 'least_upper_bound'( Y, X ) ) )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43946, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'least_upper_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, clause( 43944, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'least_upper_bound'( Y, X ) ) ), 'greatest_lower_bound'(
% 101.92/102.37 'least_upper_bound'( inverse( X ), inverse( 'least_upper_bound'( Y, X ) )
% 101.92/102.37 ), inverse( X ) ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Y, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y
% 101.92/102.37 , Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 5294, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 101.92/102.37 'least_upper_bound'( X, Y ) ) ), inverse( Y ) ) ] )
% 101.92/102.37 , clause( 43946, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'least_upper_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43949, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 101.92/102.37 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 101.92/102.37 , clause( 5288, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.92/102.37 X ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43951, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 101.92/102.37 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 43949, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 101.92/102.37 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 101.92/102.37 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 101.92/102.37 :=( Y, inverse( X ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43952, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 101.92/102.37 , inverse( X ) ) ), X ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 43951, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 101.92/102.37 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43954, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.92/102.37 inverse( X ) ) ), X ), X ) ] )
% 101.92/102.37 , clause( 43952, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.37 Y, inverse( X ) ) ), X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 5303, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.92/102.37 inverse( X ) ) ), X ), X ) ] )
% 101.92/102.37 , clause( 43954, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 101.92/102.37 , inverse( X ) ) ), X ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43957, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.37 , clause( 974, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 101.92/102.37 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43961, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 101.92/102.37 , inverse( X ) ) ) ), 'greatest_lower_bound'( 'least_upper_bound'( X,
% 101.92/102.37 inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), X ) ) ] )
% 101.92/102.37 , clause( 5303, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.92/102.37 inverse( X ) ) ), X ), X ) ] )
% 101.92/102.37 , 0, clause( 43957, [ =( 'least_upper_bound'( X, Y ),
% 101.92/102.37 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.37 Y, X ) ) ) ] )
% 101.92/102.37 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43963, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 101.92/102.37 , inverse( X ) ) ) ), X ) ] )
% 101.92/102.37 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, clause( 43961, [ =( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( Y, inverse( X ) ) ) ), 'greatest_lower_bound'(
% 101.92/102.37 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 101.92/102.37 ), X ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 101.92/102.37 Y, inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 5315, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 101.92/102.37 , inverse( Y ) ) ) ), Y ) ] )
% 101.92/102.37 , clause( 43963, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 Y, inverse( X ) ) ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43966, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.92/102.37 , X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43967, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 101.92/102.37 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 101.92/102.37 , Y ) ) ] )
% 101.92/102.37 , clause( 5303, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.92/102.37 inverse( X ) ) ), X ), X ) ] )
% 101.92/102.37 , 0, clause( 43966, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.37 X, Y ) ) ) ] )
% 101.92/102.37 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43968, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 101.92/102.37 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , clause( 43967, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 101.92/102.37 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 101.92/102.37 , Y ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 5332, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 101.92/102.37 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , clause( 43968, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.37 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43970, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 101.92/102.37 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.92/102.37 , clause( 1100, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 101.92/102.37 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43973, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 101.92/102.37 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 101.92/102.37 identity ) ) ) ) ] )
% 101.92/102.37 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.37 , 0, clause( 43970, [ =( X, multiply( 'least_upper_bound'( X, multiply( X,
% 101.92/102.37 Y ) ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.92/102.37 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43974, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 101.92/102.37 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 101.92/102.37 Y ) ) ] )
% 101.92/102.37 , clause( 43973, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 101.92/102.37 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 101.92/102.37 identity ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 5775, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 101.92/102.37 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 101.92/102.37 Y ) ) ] )
% 101.92/102.37 , clause( 43974, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X )
% 101.92/102.37 , inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X
% 101.92/102.37 , Y ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43976, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ) ) ] )
% 101.92/102.37 , clause( 4094, [ =( 'greatest_lower_bound'( multiply( multiply( Z,
% 101.92/102.37 'least_upper_bound'( X, Y ) ), inverse( Y ) ), Z ), Z ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43983, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 multiply( 'least_upper_bound'( Y, inverse( T ) ), inverse( Z ) ) ),
% 101.92/102.37 inverse( inverse( multiply( Z, T ) ) ) ), X ) ) ] )
% 101.92/102.37 , clause( 173, [ =( 'least_upper_bound'( multiply( Z, inverse( Y ) ),
% 101.92/102.37 inverse( multiply( Y, X ) ) ), multiply( 'least_upper_bound'( Z, inverse(
% 101.92/102.37 X ) ), inverse( Y ) ) ) ] )
% 101.92/102.37 , 0, clause( 43976, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ) ) ] )
% 101.92/102.37 , 0, 6, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, inverse( Z ) ) ), :=(
% 101.92/102.37 Z, inverse( multiply( Z, T ) ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43984, [ =( X, 'greatest_lower_bound'( multiply( multiply( multiply(
% 101.92/102.37 X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( T ) ), inverse(
% 101.92/102.37 inverse( multiply( T, Z ) ) ) ), X ) ) ] )
% 101.92/102.37 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.37 ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 43983, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 multiply( 'least_upper_bound'( Y, inverse( T ) ), inverse( Z ) ) ),
% 101.92/102.37 inverse( inverse( multiply( Z, T ) ) ) ), X ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y,
% 101.92/102.37 inverse( Z ) ) ), :=( Z, inverse( T ) )] ), substitution( 1, [ :=( X, X )
% 101.92/102.37 , :=( Y, Y ), :=( Z, T ), :=( T, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43985, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( multiply( inverse(
% 101.92/102.37 multiply( T, Z ) ), T ) ) ), X ) ) ] )
% 101.92/102.37 , clause( 178, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 101.92/102.37 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 101.92/102.37 , 0, clause( 43984, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 101.92/102.37 multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( T ) ),
% 101.92/102.37 inverse( inverse( multiply( T, Z ) ) ) ), X ) ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [ :=( X, T ), :=( Y, inverse( multiply( T, Z ) ) )
% 101.92/102.37 , :=( Z, multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ) )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43986, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse( T ),
% 101.92/102.37 multiply( T, Z ) ) ), X ) ) ] )
% 101.92/102.37 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.92/102.37 inverse( Y ), X ) ) ] )
% 101.92/102.37 , 0, clause( 43985, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( multiply( inverse(
% 101.92/102.37 multiply( T, Z ) ), T ) ) ), X ) ) ] )
% 101.92/102.37 , 0, 10, substitution( 0, [ :=( X, multiply( T, Z ) ), :=( Y, T )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43988, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( multiply( inverse( T
% 101.92/102.37 ), T ), Z ) ), X ) ) ] )
% 101.92/102.37 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.37 ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 43986, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse( T ),
% 101.92/102.37 multiply( T, Z ) ) ), X ) ) ] )
% 101.92/102.37 , 0, 10, substitution( 0, [ :=( X, inverse( T ) ), :=( Y, T ), :=( Z, Z )] )
% 101.92/102.37 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43991, [ =( X, 'greatest_lower_bound'( multiply( multiply( multiply(
% 101.92/102.37 X, 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse( T ), T )
% 101.92/102.37 ), Z ), X ) ) ] )
% 101.92/102.37 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.37 ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 43988, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( multiply( inverse( T
% 101.92/102.37 ), T ), Z ) ), X ) ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [ :=( X, multiply( X, 'least_upper_bound'( Y,
% 101.92/102.37 inverse( Z ) ) ) ), :=( Y, multiply( inverse( T ), T ) ), :=( Z, Z )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43992, [ =( X, 'greatest_lower_bound'( multiply( multiply( multiply(
% 101.92/102.37 multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( T ) ), T
% 101.92/102.37 ), Z ), X ) ) ] )
% 101.92/102.37 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.37 ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 43991, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 101.92/102.37 multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse(
% 101.92/102.37 T ), T ) ), Z ), X ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, multiply( X, 'least_upper_bound'( Y,
% 101.92/102.37 inverse( Z ) ) ) ), :=( Y, inverse( T ) ), :=( Z, T )] ), substitution( 1
% 101.92/102.37 , [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 43993, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 101.92/102.37 , clause( 198, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 101.92/102.37 , 0, clause( 43992, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 101.92/102.37 multiply( multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse(
% 101.92/102.37 T ) ), T ), Z ), X ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, T ), :=( Y, multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ) )] ), substitution( 1, [ :=( X,
% 101.92/102.37 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43994, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ), X ) ] )
% 101.92/102.37 , clause( 43993, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 7428, [ =( 'greatest_lower_bound'( multiply( multiply( T,
% 101.92/102.37 'least_upper_bound'( X, inverse( Z ) ) ), Z ), T ), T ) ] )
% 101.92/102.37 , clause( 43994, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.37 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 43996, [ =( inverse( 'least_upper_bound'( multiply( X, Y ), X ) ),
% 101.92/102.37 inverse( multiply( X, 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 101.92/102.37 , clause( 1078, [ =( inverse( multiply( X, 'least_upper_bound'( identity, Y
% 101.92/102.37 ) ) ), inverse( 'least_upper_bound'( multiply( X, Y ), X ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44005, [ =( inverse( 'least_upper_bound'( inverse( Y ), inverse(
% 101.92/102.37 'least_upper_bound'( multiply( X, Y ), Y ) ) ) ), inverse( multiply(
% 101.92/102.37 inverse( 'least_upper_bound'( multiply( X, Y ), Y ) ),
% 101.92/102.37 'least_upper_bound'( identity, 'least_upper_bound'( X, identity ) ) ) ) )
% 101.92/102.37 ] )
% 101.92/102.37 , clause( 1296, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 101.92/102.37 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 101.92/102.37 , 0, clause( 43996, [ =( inverse( 'least_upper_bound'( multiply( X, Y ), X
% 101.92/102.37 ) ), inverse( multiply( X, 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( 'least_upper_bound'( multiply( X, Y ), Y ) ) ), :=( Y,
% 101.92/102.37 'least_upper_bound'( X, identity ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44007, [ =( inverse( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( identity, 'least_upper_bound'( Y, identity ) ) ),
% 101.92/102.37 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.92/102.37 inverse( Y ), X ) ) ] )
% 101.92/102.37 , 0, clause( 44005, [ =( inverse( 'least_upper_bound'( inverse( Y ),
% 101.92/102.37 inverse( 'least_upper_bound'( multiply( X, Y ), Y ) ) ) ), inverse(
% 101.92/102.37 multiply( inverse( 'least_upper_bound'( multiply( X, Y ), Y ) ),
% 101.92/102.37 'least_upper_bound'( identity, 'least_upper_bound'( X, identity ) ) ) ) )
% 101.92/102.37 ] )
% 101.92/102.37 , 0, 11, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( Y, X ), X
% 101.92/102.37 ) ), :=( Y, 'least_upper_bound'( identity, 'least_upper_bound'( Y,
% 101.92/102.37 identity ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44008, [ =( inverse( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( identity, Y ), identity ) ),
% 101.92/102.37 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 44007, [ =( inverse( 'least_upper_bound'( inverse( X ),
% 101.92/102.37 inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply(
% 101.92/102.37 inverse( 'least_upper_bound'( identity, 'least_upper_bound'( Y, identity
% 101.92/102.37 ) ) ), 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, identity ), :=( Y, Y ), :=( Z, identity
% 101.92/102.37 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44009, [ =( inverse( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply( Y, X
% 101.92/102.37 ), X ) ) ) ] )
% 101.92/102.37 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.37 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.37 , 0, clause( 44008, [ =( inverse( 'least_upper_bound'( inverse( X ),
% 101.92/102.37 inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply(
% 101.92/102.37 inverse( 'least_upper_bound'( 'least_upper_bound'( identity, Y ),
% 101.92/102.37 identity ) ), 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44010, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply( Y, X
% 101.92/102.37 ), X ) ) ) ] )
% 101.92/102.37 , clause( 5294, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 101.92/102.37 'least_upper_bound'( X, Y ) ) ), inverse( Y ) ) ] )
% 101.92/102.37 , 0, clause( 44009, [ =( inverse( 'least_upper_bound'( inverse( X ),
% 101.92/102.37 inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply(
% 101.92/102.37 inverse( 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'(
% 101.92/102.37 multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, X )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44011, [ =( X, multiply( inverse( 'least_upper_bound'( identity, Y
% 101.92/102.37 ) ), 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 44010, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply( Y, X
% 101.92/102.37 ), X ) ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44012, [ =( multiply( inverse( 'least_upper_bound'( identity, Y ) )
% 101.92/102.37 , 'least_upper_bound'( multiply( Y, X ), X ) ), X ) ] )
% 101.92/102.37 , clause( 44011, [ =( X, multiply( inverse( 'least_upper_bound'( identity,
% 101.92/102.37 Y ) ), 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12247, [ =( multiply( inverse( 'least_upper_bound'( identity, X ) )
% 101.92/102.37 , 'least_upper_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 101.92/102.37 , clause( 44012, [ =( multiply( inverse( 'least_upper_bound'( identity, Y )
% 101.92/102.37 ), 'least_upper_bound'( multiply( Y, X ), X ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44014, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 101.92/102.37 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 101.92/102.37 , clause( 1296, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 101.92/102.37 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44017, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 101.92/102.37 Y, X ), identity ) ) ) ] )
% 101.92/102.37 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.92/102.37 , 0, clause( 44014, [ =( inverse( Y ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 101.92/102.37 identity ) ) ) ] )
% 101.92/102.37 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44018, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 101.92/102.37 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 44017, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 101.92/102.37 Y, X ), identity ) ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44019, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 101.92/102.37 ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 101.92/102.37 , clause( 44018, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 101.92/102.37 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12249, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 101.92/102.37 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 101.92/102.37 , clause( 44019, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 101.92/102.37 ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44020, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 101.92/102.37 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.37 , clause( 1187, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 101.92/102.37 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44021, [ =( Y, multiply( inverse( 'least_upper_bound'( identity, X
% 101.92/102.37 ) ), 'least_upper_bound'( multiply( X, Y ), Y ) ) ) ] )
% 101.92/102.37 , clause( 12247, [ =( multiply( inverse( 'least_upper_bound'( identity, X )
% 101.92/102.37 ), 'least_upper_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44025, [ =( X, multiply( inverse( 'least_upper_bound'( identity,
% 101.92/102.37 'least_upper_bound'( Y, identity ) ) ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, multiply( Y, X ) ), X ) ) ) ] )
% 101.92/102.37 , clause( 44020, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 101.92/102.37 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 101.92/102.37 , 0, clause( 44021, [ =( Y, multiply( inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ), 'least_upper_bound'( multiply( X, Y ), Y ) ) ) ] )
% 101.92/102.37 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44026, [ =( X, multiply( inverse( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( identity, Y ), identity ) ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, multiply( Y, X ) ), X ) ) ) ] )
% 101.92/102.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 44025, [ =( X, multiply( inverse( 'least_upper_bound'(
% 101.92/102.37 identity, 'least_upper_bound'( Y, identity ) ) ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, multiply( Y, X ) ), X ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, Y ), :=( Z, identity )] )
% 101.92/102.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44028, [ =( X, multiply( inverse( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( identity, Y ), identity ) ), 'least_upper_bound'( X
% 101.92/102.37 , multiply( Y, X ) ) ) ) ] )
% 101.92/102.37 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.37 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.37 , 0, clause( 44026, [ =( X, multiply( inverse( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( identity, Y ), identity ) ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, multiply( Y, X ) ), X ) ) ) ] )
% 101.92/102.37 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, X ) )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44030, [ =( X, multiply( inverse( 'least_upper_bound'( identity, Y
% 101.92/102.37 ) ), 'least_upper_bound'( X, multiply( Y, X ) ) ) ) ] )
% 101.92/102.37 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.37 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.37 , 0, clause( 44028, [ =( X, multiply( inverse( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( identity, Y ), identity ) ), 'least_upper_bound'( X
% 101.92/102.37 , multiply( Y, X ) ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 101.92/102.37 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44031, [ =( multiply( inverse( 'least_upper_bound'( identity, Y ) )
% 101.92/102.37 , 'least_upper_bound'( X, multiply( Y, X ) ) ), X ) ] )
% 101.92/102.37 , clause( 44030, [ =( X, multiply( inverse( 'least_upper_bound'( identity,
% 101.92/102.37 Y ) ), 'least_upper_bound'( X, multiply( Y, X ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12253, [ =( multiply( inverse( 'least_upper_bound'( identity, X ) )
% 101.92/102.37 , 'least_upper_bound'( Y, multiply( X, Y ) ) ), Y ) ] )
% 101.92/102.37 , clause( 44031, [ =( multiply( inverse( 'least_upper_bound'( identity, Y )
% 101.92/102.37 ), 'least_upper_bound'( X, multiply( Y, X ) ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44033, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 101.92/102.37 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.37 , clause( 1094, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.92/102.37 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44040, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 101.92/102.37 , inverse( Y ) ) ) ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 101.92/102.37 Y ) ) ), 'least_upper_bound'( identity, 'least_upper_bound'( multiply( X
% 101.92/102.37 , Y ), identity ) ) ) ) ] )
% 101.92/102.37 , clause( 12249, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 101.92/102.37 ) ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 101.92/102.37 , 0, clause( 44033, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 101.92/102.37 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y,
% 101.92/102.37 'least_upper_bound'( multiply( X, Y ), identity ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44041, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 101.92/102.37 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 101.92/102.37 X ) ) ), 'least_upper_bound'( 'least_upper_bound'( identity, multiply( Y
% 101.92/102.37 , X ) ), identity ) ) ) ] )
% 101.92/102.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 44040, [ =( 'least_upper_bound'( Y, inverse(
% 101.92/102.37 'least_upper_bound'( X, inverse( Y ) ) ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( X, inverse( Y ) ) ), 'least_upper_bound'( identity,
% 101.92/102.37 'least_upper_bound'( multiply( X, Y ), identity ) ) ) ) ] )
% 101.92/102.37 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) ),
% 101.92/102.37 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44042, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 101.92/102.37 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 101.92/102.37 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 101.92/102.37 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.37 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.37 , 0, clause( 44041, [ =( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( identity, multiply( Y, X ) ), identity ) ) ) ] )
% 101.92/102.37 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) )] )
% 101.92/102.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44043, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 101.92/102.37 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 101.92/102.37 , clause( 5315, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 101.92/102.37 X, inverse( Y ) ) ) ), Y ) ] )
% 101.92/102.37 , 0, clause( 44042, [ =( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( identity,
% 101.92/102.37 multiply( Y, X ) ) ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44044, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 101.92/102.37 ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 101.92/102.37 , clause( 44043, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 101.92/102.37 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12266, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 101.92/102.37 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 101.92/102.37 , clause( 44044, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 101.92/102.37 ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44046, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 101.92/102.37 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 101.92/102.37 , clause( 12266, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 101.92/102.37 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44051, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 101.92/102.37 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 101.92/102.37 ), X ), inverse( inverse( 'least_upper_bound'( X, identity ) ) ) ) ),
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.37 , clause( 1506, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 101.92/102.37 , X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 101.92/102.37 , 0, clause( 44046, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 101.92/102.37 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , 0, 20, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.37 multiply( 'least_upper_bound'( identity, X ), X ) ), :=( Y, inverse(
% 101.92/102.37 'least_upper_bound'( X, identity ) ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44052, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 101.92/102.37 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 101.92/102.37 ), X ), 'least_upper_bound'( X, identity ) ) ), 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 44051, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 101.92/102.37 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 101.92/102.37 identity, X ), X ), inverse( inverse( 'least_upper_bound'( X, identity )
% 101.92/102.37 ) ) ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] )
% 101.92/102.37 , substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44053, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 101.92/102.37 inverse( 'least_upper_bound'( 'least_upper_bound'( multiply(
% 101.92/102.37 'least_upper_bound'( identity, X ), X ), X ), identity ) ),
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 44052, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 101.92/102.37 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 101.92/102.37 identity, X ), X ), 'least_upper_bound'( X, identity ) ) ),
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.37 , 0, 7, substitution( 0, [ :=( X, multiply( 'least_upper_bound'( identity,
% 101.92/102.37 X ), X ) ), :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X, X
% 101.92/102.37 )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44054, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 101.92/102.37 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 101.92/102.37 ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.37 , clause( 631, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 101.92/102.37 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , 0, clause( 44053, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 101.92/102.37 multiply( inverse( 'least_upper_bound'( 'least_upper_bound'( multiply(
% 101.92/102.37 'least_upper_bound'( identity, X ), X ), X ), identity ) ),
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44055, [ =( inverse( 'least_upper_bound'( X, identity ) ), inverse(
% 101.92/102.37 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )
% 101.92/102.37 ) ] )
% 101.92/102.37 , clause( 1635, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 101.92/102.37 ), identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 101.92/102.37 ) ] )
% 101.92/102.37 , 0, clause( 44054, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 101.92/102.37 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 101.92/102.37 identity, X ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) )
% 101.92/102.37 ] )
% 101.92/102.37 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 101.92/102.37 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44056, [ =( inverse( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 101.92/102.37 , identity ) ) ) ] )
% 101.92/102.37 , clause( 44055, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 101.92/102.37 inverse( 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity,
% 101.92/102.37 X ) ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12271, [ =( inverse( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 101.92/102.37 , identity ) ) ) ] )
% 101.92/102.37 , clause( 44056, [ =( inverse( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 101.92/102.37 , identity ) ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44058, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X )
% 101.92/102.37 , identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 101.92/102.37 , clause( 1302, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 101.92/102.37 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44063, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ), multiply( inverse( 'least_upper_bound'( inverse(
% 101.92/102.37 'least_upper_bound'( X, identity ) ), identity ) ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 101.92/102.37 identity ) ) ) ] )
% 101.92/102.37 , clause( 12271, [ =( inverse( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 101.92/102.37 , identity ) ) ) ] )
% 101.92/102.37 , 0, clause( 44058, [ =( X, multiply( inverse( 'least_upper_bound'( inverse(
% 101.92/102.37 X ), identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 101.92/102.37 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.37 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44064, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ), multiply( inverse( identity ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 101.92/102.37 identity ) ) ) ] )
% 101.92/102.37 , clause( 1308, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 101.92/102.37 identity ) ), identity ), identity ) ] )
% 101.92/102.37 , 0, clause( 44063, [ =( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 101.92/102.37 identity ) ), 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ), identity ) ) ) ] )
% 101.92/102.37 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44065, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ), multiply( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 101.92/102.37 identity ) ) ) ] )
% 101.92/102.37 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 101.92/102.37 , 0, clause( 44064, [ =( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ), multiply( inverse( identity ),
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ), identity ) ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44066, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ), identity ) ) ] )
% 101.92/102.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.37 , 0, clause( 44065, [ =( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ), multiply( identity,
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ), identity ) ) ) ] )
% 101.92/102.37 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( 'least_upper_bound'(
% 101.92/102.37 X, inverse( 'least_upper_bound'( identity, X ) ) ), identity ) )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44067, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , clause( 1319, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 101.92/102.37 identity, Y ) ) ] )
% 101.92/102.37 , 0, clause( 44066, [ =( 'least_upper_bound'( X, inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ) ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 101.92/102.37 identity ) ) ] )
% 101.92/102.37 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12281, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , clause( 44067, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44070, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 101.92/102.37 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 101.92/102.37 , clause( 12266, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 101.92/102.37 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44074, [ =( 'least_upper_bound'( identity, X ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity,
% 101.92/102.37 multiply( X, 'least_upper_bound'( identity, X ) ) ) ) ) ] )
% 101.92/102.37 , clause( 12281, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , 0, clause( 44070, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 101.92/102.37 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, 'least_upper_bound'( identity, X ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44075, [ =( 'least_upper_bound'( identity, X ), multiply( inverse(
% 101.92/102.37 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity,
% 101.92/102.37 multiply( 'least_upper_bound'( identity, X ), X ) ) ) ) ] )
% 101.92/102.37 , clause( 1188, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 101.92/102.37 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 101.92/102.37 , 0, clause( 44074, [ =( 'least_upper_bound'( identity, X ), multiply(
% 101.92/102.37 inverse( 'least_upper_bound'( identity, X ) ), 'least_upper_bound'(
% 101.92/102.37 identity, multiply( X, 'least_upper_bound'( identity, X ) ) ) ) ) ] )
% 101.92/102.37 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44076, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 101.92/102.37 multiply( inverse( 'least_upper_bound'( identity, X ) ), identity ), X )
% 101.92/102.37 ) ] )
% 101.92/102.37 , clause( 1542, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 101.92/102.37 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , 0, clause( 44075, [ =( 'least_upper_bound'( identity, X ), multiply(
% 101.92/102.37 inverse( 'least_upper_bound'( identity, X ) ), 'least_upper_bound'(
% 101.92/102.37 identity, multiply( 'least_upper_bound'( identity, X ), X ) ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 101.92/102.37 :=( Y, identity ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44077, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 101.92/102.37 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 101.92/102.37 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.37 , 0, clause( 44076, [ =( 'least_upper_bound'( identity, X ),
% 101.92/102.37 'least_upper_bound'( multiply( inverse( 'least_upper_bound'( identity, X
% 101.92/102.37 ) ), identity ), X ) ) ] )
% 101.92/102.37 , 0, 5, substitution( 0, [ :=( X, inverse( 'least_upper_bound'( identity, X
% 101.92/102.37 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44078, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , clause( 44077, [ =( 'least_upper_bound'( identity, X ),
% 101.92/102.37 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 101.92/102.37 ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12285, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , clause( 44078, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44079, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ),
% 101.92/102.37 inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.92/102.37 , clause( 1178, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 101.92/102.37 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44080, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 101.92/102.37 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 101.92/102.37 , clause( 12285, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44083, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 101.92/102.37 ), 'least_upper_bound'( inverse( multiply( identity, 'least_upper_bound'(
% 101.92/102.37 X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 101.92/102.37 , clause( 44079, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) )
% 101.92/102.37 , inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.92/102.37 , 0, clause( 44080, [ =( 'least_upper_bound'( identity, X ),
% 101.92/102.37 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 101.92/102.37 ] )
% 101.92/102.37 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 101.92/102.37 1, [ :=( X, multiply( identity, X ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44086, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 101.92/102.37 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 101.92/102.37 multiply( identity, X ) ) ) ] )
% 101.92/102.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.37 , 0, clause( 44083, [ =( 'least_upper_bound'( identity, multiply( identity
% 101.92/102.37 , X ) ), 'least_upper_bound'( inverse( multiply( identity,
% 101.92/102.37 'least_upper_bound'( X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44092, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 101.92/102.37 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.37 , 0, clause( 44086, [ =( 'least_upper_bound'( identity, multiply( identity
% 101.92/102.37 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 101.92/102.37 ), multiply( identity, X ) ) ) ] )
% 101.92/102.37 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44093, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 101.92/102.37 inverse( 'least_upper_bound'( X, identity ) ), X ) ) ] )
% 101.92/102.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.37 , 0, clause( 44092, [ =( 'least_upper_bound'( identity, multiply( identity
% 101.92/102.37 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 101.92/102.37 ), X ) ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44095, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 101.92/102.37 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , clause( 44093, [ =( 'least_upper_bound'( identity, X ),
% 101.92/102.37 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X ) )
% 101.92/102.37 ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12305, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 101.92/102.37 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , clause( 44095, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 101.92/102.37 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44098, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 101.92/102.37 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 101.92/102.37 , clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 101.92/102.37 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44102, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 101.92/102.37 X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 101.92/102.37 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 101.92/102.37 , clause( 12305, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 101.92/102.37 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 101.92/102.37 , 0, clause( 44098, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X
% 101.92/102.37 ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, inverse( 'least_upper_bound'( X, identity ) ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44103, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 101.92/102.37 X ) ), 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X,
% 101.92/102.37 identity ), X ) ), identity ) ) ] )
% 101.92/102.37 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.92/102.37 multiply( X, Y ) ) ) ] )
% 101.92/102.37 , 0, clause( 44102, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 101.92/102.37 identity, X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 101.92/102.37 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) ),
% 101.92/102.37 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44104, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 101.92/102.37 ), X ) ), identity ) ) ] )
% 101.92/102.37 , clause( 1096, [ =( multiply( inverse( X ), 'least_upper_bound'( identity
% 101.92/102.37 , X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.37 , 0, clause( 44103, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 101.92/102.37 identity, X ) ), 'least_upper_bound'( inverse( multiply(
% 101.92/102.37 'least_upper_bound'( X, identity ), X ) ), identity ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44105, [ =( 'least_upper_bound'( inverse( multiply(
% 101.92/102.37 'least_upper_bound'( X, identity ), X ) ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.37 , clause( 44104, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 101.92/102.37 ), X ) ), identity ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12319, [ =( 'least_upper_bound'( inverse( multiply(
% 101.92/102.37 'least_upper_bound'( X, identity ), X ) ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.37 , clause( 44105, [ =( 'least_upper_bound'( inverse( multiply(
% 101.92/102.37 'least_upper_bound'( X, identity ), X ) ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44107, [ =( inverse( 'greatest_lower_bound'( multiply( X, Y ), X )
% 101.92/102.37 ), inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , clause( 902, [ =( inverse( multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.37 identity ) ) ), inverse( 'greatest_lower_bound'( multiply( X, Y ), X ) )
% 101.92/102.37 ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44115, [ =( inverse( 'greatest_lower_bound'( inverse( Y ), inverse(
% 101.92/102.37 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ) ), inverse( multiply(
% 101.92/102.37 inverse( 'greatest_lower_bound'( multiply( X, Y ), Y ) ),
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( X, identity ), identity )
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 710, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X
% 101.92/102.37 , Y ), Y ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , 0, clause( 44107, [ =( inverse( 'greatest_lower_bound'( multiply( X, Y )
% 101.92/102.37 , X ) ), inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) )
% 101.92/102.37 ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ), :=( Y
% 101.92/102.37 , 'greatest_lower_bound'( X, identity ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44117, [ =( inverse( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( multiply( Y, X ), X ) ) ) ), multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( Y, identity ), identity )
% 101.92/102.37 ), 'greatest_lower_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.92/102.37 inverse( Y ), X ) ) ] )
% 101.92/102.37 , 0, clause( 44115, [ =( inverse( 'greatest_lower_bound'( inverse( Y ),
% 101.92/102.37 inverse( 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ) ), inverse(
% 101.92/102.37 multiply( inverse( 'greatest_lower_bound'( multiply( X, Y ), Y ) ),
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( X, identity ), identity )
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , 0, 11, substitution( 0, [ :=( X, 'greatest_lower_bound'( multiply( Y, X )
% 101.92/102.37 , X ) ), :=( Y, 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 101.92/102.37 identity ), identity ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44118, [ =( inverse( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( multiply( Y, X ), X ) ) ) ), multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'( multiply(
% 101.92/102.37 Y, X ), X ) ) ) ] )
% 101.92/102.37 , clause( 41, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.37 Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.37 , 0, clause( 44117, [ =( inverse( 'greatest_lower_bound'( inverse( X ),
% 101.92/102.37 inverse( 'greatest_lower_bound'( multiply( Y, X ), X ) ) ) ), multiply(
% 101.92/102.37 inverse( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, identity ),
% 101.92/102.37 identity ) ), 'greatest_lower_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, identity )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44119, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'( multiply(
% 101.92/102.37 Y, X ), X ) ) ) ] )
% 101.92/102.37 , clause( 4773, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.92/102.37 , 0, clause( 44118, [ =( inverse( 'greatest_lower_bound'( inverse( X ),
% 101.92/102.37 inverse( 'greatest_lower_bound'( multiply( Y, X ), X ) ) ) ), multiply(
% 101.92/102.37 inverse( 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'(
% 101.92/102.37 multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, X ) )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44120, [ =( X, multiply( inverse( 'greatest_lower_bound'( Y,
% 101.92/102.37 identity ) ), 'greatest_lower_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 44119, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'( multiply(
% 101.92/102.37 Y, X ), X ) ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44121, [ =( multiply( inverse( 'greatest_lower_bound'( Y, identity
% 101.92/102.37 ) ), 'greatest_lower_bound'( multiply( Y, X ), X ) ), X ) ] )
% 101.92/102.37 , clause( 44120, [ =( X, multiply( inverse( 'greatest_lower_bound'( Y,
% 101.92/102.37 identity ) ), 'greatest_lower_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12414, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity
% 101.92/102.37 ) ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 101.92/102.37 , clause( 44121, [ =( multiply( inverse( 'greatest_lower_bound'( Y,
% 101.92/102.37 identity ) ), 'greatest_lower_bound'( multiply( Y, X ), X ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44123, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 101.92/102.37 ), X ) ), identity ) ) ] )
% 101.92/102.37 , clause( 12319, [ =( 'least_upper_bound'( inverse( multiply(
% 101.92/102.37 'least_upper_bound'( X, identity ), X ) ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44131, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 101.92/102.37 ), identity ) ) ] )
% 101.92/102.37 , clause( 1245, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 101.92/102.37 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 101.92/102.37 , 0, clause( 44123, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 101.92/102.37 ), X ) ), identity ) ) ] )
% 101.92/102.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44135, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.37 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 101.92/102.37 identity ) ) ] )
% 101.92/102.37 , clause( 44131, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 101.92/102.37 ), identity ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12467, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.37 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 101.92/102.37 identity ) ) ] )
% 101.92/102.37 , clause( 44135, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.37 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 101.92/102.37 identity ) ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44137, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 101.92/102.37 ), X ) ), identity ) ) ] )
% 101.92/102.37 , clause( 12319, [ =( 'least_upper_bound'( inverse( multiply(
% 101.92/102.37 'least_upper_bound'( X, identity ), X ) ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44143, [ =( 'least_upper_bound'( inverse( inverse(
% 101.92/102.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 101.92/102.37 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 101.92/102.37 identity ) ) ] )
% 101.92/102.37 , clause( 12467, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.37 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 101.92/102.37 identity ) ) ] )
% 101.92/102.37 , 0, clause( 44137, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 101.92/102.37 ), X ) ), identity ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.37 inverse( 'least_upper_bound'( multiply( X, X ), X ) ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44144, [ =( 'least_upper_bound'( inverse( inverse(
% 101.92/102.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 101.92/102.37 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 101.92/102.37 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 101.92/102.37 ) ] )
% 101.92/102.37 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.37 inverse( Y ) ) ) ] )
% 101.92/102.37 , 0, clause( 44143, [ =( 'least_upper_bound'( inverse( inverse(
% 101.92/102.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 101.92/102.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 101.92/102.37 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 101.92/102.37 identity ) ) ] )
% 101.92/102.37 , 0, 11, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( X, X ), X
% 101.92/102.37 ) ), :=( Y, 'least_upper_bound'( inverse( X ), identity ) )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44145, [ =( 'least_upper_bound'( inverse( inverse(
% 101.92/102.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 101.92/102.37 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 101.92/102.37 , clause( 5775, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 101.92/102.37 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 101.92/102.37 Y ) ) ] )
% 101.92/102.37 , 0, clause( 44144, [ =( 'least_upper_bound'( inverse( inverse(
% 101.92/102.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 101.92/102.37 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 101.92/102.37 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 101.92/102.37 ) ] )
% 101.92/102.37 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44146, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 101.92/102.37 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 101.92/102.37 ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 44145, [ =( 'least_upper_bound'( inverse( inverse(
% 101.92/102.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 101.92/102.37 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( X, X ), X
% 101.92/102.37 ) )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12469, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 101.92/102.37 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 101.92/102.37 ] )
% 101.92/102.37 , clause( 44146, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 101.92/102.37 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 101.92/102.37 ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44149, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 101.92/102.37 ] )
% 101.92/102.37 , clause( 1858, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Y
% 101.92/102.37 ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ), identity )
% 101.92/102.37 ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44152, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.92/102.37 inverse( X ), 'least_upper_bound'( multiply( X, X ), identity ) ) ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , clause( 12469, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 101.92/102.37 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 101.92/102.37 ) ] )
% 101.92/102.37 , 0, clause( 44149, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 multiply( inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X )
% 101.92/102.37 , Z ) ) ) ) ] )
% 101.92/102.37 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, multiply( X, X ) ), :=( Z, identity )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44154, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, multiply( inverse( X ), identity ) ) ) ) ] )
% 101.92/102.37 , clause( 1516, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 101.92/102.37 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , 0, clause( 44152, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 multiply( inverse( X ), 'least_upper_bound'( multiply( X, X ), identity )
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, identity )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44155, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 101.92/102.37 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.37 , 0, clause( 44154, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, multiply( inverse( X ), identity ) ) ) ) ] )
% 101.92/102.37 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 101.92/102.37 :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44156, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 X, inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , clause( 44155, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12498, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 X, inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , clause( 44156, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 X, inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44158, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, multiply( inverse( 'greatest_lower_bound'( Y, Z )
% 101.92/102.37 ), Z ) ) ) ) ] )
% 101.92/102.37 , clause( 1962, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 Z, multiply( inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ), identity
% 101.92/102.37 ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44162, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, multiply( inverse( identity ),
% 101.92/102.37 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ) ] )
% 101.92/102.37 , clause( 12498, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 X, inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , 0, clause( 44158, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, multiply( inverse( 'greatest_lower_bound'( Y, Z )
% 101.92/102.37 ), Z ) ) ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, identity ), :=( Z, 'least_upper_bound'( Y, inverse( Y ) ) )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44163, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, multiply( identity, 'least_upper_bound'( Y,
% 101.92/102.37 inverse( Y ) ) ) ) ) ) ] )
% 101.92/102.37 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 101.92/102.37 , 0, clause( 44162, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, multiply( inverse( identity ),
% 101.92/102.37 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ) ] )
% 101.92/102.37 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44164, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ] )
% 101.92/102.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.37 , 0, clause( 44163, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, multiply( identity, 'least_upper_bound'( Y,
% 101.92/102.37 inverse( Y ) ) ) ) ) ) ] )
% 101.92/102.37 , 0, 6, substitution( 0, [ :=( X, 'least_upper_bound'( Y, inverse( Y ) ) )] )
% 101.92/102.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44165, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 101.92/102.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 44164, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 101.92/102.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44166, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 101.92/102.37 , clause( 44165, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 12671, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , clause( 44166, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44168, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 101.92/102.37 , clause( 12671, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44171, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( Z, X ), inverse( Z ) ) ) ) ] )
% 101.92/102.37 , clause( 544, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, multiply(
% 101.92/102.37 'greatest_lower_bound'( identity, X ), Y ) ), Y ), 'least_upper_bound'( Y
% 101.92/102.37 , Z ) ) ] )
% 101.92/102.37 , 0, clause( 44168, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 101.92/102.37 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.92/102.37 substitution( 1, [ :=( X, 'least_upper_bound'( X, multiply(
% 101.92/102.37 'greatest_lower_bound'( identity, Y ), Z ) ) ), :=( Y, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44172, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , clause( 44171, [ =( identity, 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( Z, X ), inverse( Z ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 13013, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( Z, X ), inverse( Z ) ) ), identity ) ] )
% 101.92/102.37 , clause( 44172, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44174, [ =( 'greatest_lower_bound'( Z, X ), 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( X, 'least_upper_bound'( 'least_upper_bound'( Y,
% 101.92/102.37 'greatest_lower_bound'( Z, X ) ), T ) ), Z ) ) ] )
% 101.92/102.37 , clause( 414, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ), T ) ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44177, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ) ), 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 101.92/102.37 , inverse( X ) ), 'least_upper_bound'( 'least_upper_bound'( Z, identity )
% 101.92/102.37 , T ) ), identity ) ) ] )
% 101.92/102.37 , clause( 13013, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( Z, X ), inverse( Z ) ) ), identity ) ] )
% 101.92/102.37 , 0, clause( 44174, [ =( 'greatest_lower_bound'( Z, X ),
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( Y, 'greatest_lower_bound'( Z, X ) ), T ) ), Z ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , 0, 20, substitution( 0, [ :=( X, Y ), :=( Y, U ), :=( Z, X )] ),
% 101.92/102.37 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 101.92/102.37 ), inverse( X ) ) ), :=( Y, Z ), :=( Z, identity ), :=( T, T )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44179, [ =( identity, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 101.92/102.37 , inverse( X ) ), 'least_upper_bound'( 'least_upper_bound'( Z, identity )
% 101.92/102.37 , T ) ), identity ) ) ] )
% 101.92/102.37 , clause( 13013, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( Z, X ), inverse( Z ) ) ), identity ) ] )
% 101.92/102.37 , 0, clause( 44177, [ =( 'greatest_lower_bound'( identity,
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( X ) ) ),
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( Z, identity ), T ) ), identity ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, U ), :=( Z, X )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44182, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 101.92/102.37 , clause( 90, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( T,
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ), Y ),
% 101.92/102.37 'greatest_lower_bound'( T, Y ) ) ] )
% 101.92/102.37 , 0, clause( 44179, [ =( identity, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 101.92/102.37 , inverse( X ) ), 'least_upper_bound'( 'least_upper_bound'( Z, identity )
% 101.92/102.37 , T ) ), identity ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, identity ), :=( Z, T ), :=( T
% 101.92/102.37 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( X ) ) )] ),
% 101.92/102.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44183, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 101.92/102.37 , clause( 44182, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 13234, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 101.92/102.37 , clause( 44183, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44185, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 101.92/102.37 , clause( 13234, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44190, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 inverse( 'greatest_lower_bound'( X, Y ) ), inverse( inverse( X ) ) ),
% 101.92/102.37 identity ) ) ] )
% 101.92/102.37 , clause( 4835, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , 0, clause( 44185, [ =( identity, 'greatest_lower_bound'(
% 101.92/102.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 101.92/102.37 identity ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.37 :=( X, inverse( X ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44191, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 inverse( 'greatest_lower_bound'( X, Y ) ), X ), identity ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 44190, [ =( identity, 'greatest_lower_bound'(
% 101.92/102.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 101.92/102.37 inverse( X ) ) ), identity ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44192, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 101.92/102.37 , clause( 44191, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 inverse( 'greatest_lower_bound'( X, Y ) ), X ), identity ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 13412, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 101.92/102.37 , clause( 44192, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44194, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.92/102.37 inverse( 'greatest_lower_bound'( X, Y ) ), X ), identity ) ) ] )
% 101.92/102.37 , clause( 13412, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44195, [ =( identity, 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ), identity ) ) ] )
% 101.92/102.37 , clause( 4772, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 Y, inverse( X ) ) ), X ), inverse( 'greatest_lower_bound'( Y, inverse( X
% 101.92/102.37 ) ) ) ) ] )
% 101.92/102.37 , 0, clause( 44194, [ =( identity, 'greatest_lower_bound'(
% 101.92/102.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), X ),
% 101.92/102.37 identity ) ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, inverse( X ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44196, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 X, inverse( X ) ) ), identity ), identity ) ] )
% 101.92/102.37 , clause( 44195, [ =( identity, 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ), identity ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 13510, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 X, inverse( X ) ) ), identity ), identity ) ] )
% 101.92/102.37 , clause( 44196, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ), identity ), identity ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44198, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 101.92/102.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 101.92/102.37 , X ) ) ] )
% 101.92/102.37 , clause( 4798, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), Y ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 101.92/102.37 Y ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44201, [ =( inverse( 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ), identity ) ),
% 101.92/102.37 'least_upper_bound'( inverse( identity ), 'greatest_lower_bound'( X,
% 101.92/102.37 inverse( X ) ) ) ) ] )
% 101.92/102.37 , clause( 13510, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ), identity ), identity ) ] )
% 101.92/102.37 , 0, clause( 44198, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y )
% 101.92/102.37 ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse( X ), Y
% 101.92/102.37 ) ), X ) ) ] )
% 101.92/102.37 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ), :=( Y, identity )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44202, [ =( inverse( identity ), 'least_upper_bound'( inverse(
% 101.92/102.37 identity ), 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 101.92/102.37 , clause( 13510, [ =( 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ), identity ), identity ) ] )
% 101.92/102.37 , 0, clause( 44201, [ =( inverse( 'greatest_lower_bound'( inverse(
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ), identity ) ),
% 101.92/102.37 'least_upper_bound'( inverse( identity ), 'greatest_lower_bound'( X,
% 101.92/102.37 inverse( X ) ) ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44206, [ =( inverse( identity ), 'least_upper_bound'( identity,
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 101.92/102.37 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 101.92/102.37 , 0, clause( 44202, [ =( inverse( identity ), 'least_upper_bound'( inverse(
% 101.92/102.37 identity ), 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44207, [ =( identity, 'least_upper_bound'( identity,
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 101.92/102.37 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 101.92/102.37 , 0, clause( 44206, [ =( inverse( identity ), 'least_upper_bound'( identity
% 101.92/102.37 , 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44209, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.37 X, inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , clause( 44207, [ =( identity, 'least_upper_bound'( identity,
% 101.92/102.37 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 13666, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.37 X, inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , clause( 44209, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.37 X, inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44212, [ =( identity, multiply( inverse( 'least_upper_bound'( X,
% 101.92/102.37 'greatest_lower_bound'( Y, Z ) ) ), 'least_upper_bound'( X,
% 101.92/102.37 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 101.92/102.37 , clause( 472, [ =( multiply( inverse( 'least_upper_bound'( Z,
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ) ), 'least_upper_bound'( Z,
% 101.92/102.37 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44215, [ =( identity, multiply( inverse( identity ),
% 101.92/102.37 'least_upper_bound'( identity, 'greatest_lower_bound'( inverse( X ), X )
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , clause( 13666, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.37 X, inverse( X ) ) ), identity ) ] )
% 101.92/102.37 , 0, clause( 44212, [ =( identity, multiply( inverse( 'least_upper_bound'(
% 101.92/102.37 X, 'greatest_lower_bound'( Y, Z ) ) ), 'least_upper_bound'( X,
% 101.92/102.37 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.37 identity ), :=( Y, X ), :=( Z, inverse( X ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44217, [ =( identity, multiply( identity, 'least_upper_bound'(
% 101.92/102.37 identity, 'greatest_lower_bound'( inverse( X ), X ) ) ) ) ] )
% 101.92/102.37 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 101.92/102.37 , 0, clause( 44215, [ =( identity, multiply( inverse( identity ),
% 101.92/102.37 'least_upper_bound'( identity, 'greatest_lower_bound'( inverse( X ), X )
% 101.92/102.37 ) ) ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44218, [ =( identity, 'least_upper_bound'( identity,
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), X ) ) ) ] )
% 101.92/102.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.37 , 0, clause( 44217, [ =( identity, multiply( identity, 'least_upper_bound'(
% 101.92/102.37 identity, 'greatest_lower_bound'( inverse( X ), X ) ) ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( identity,
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), X ) ) )] ), substitution( 1, [ :=(
% 101.92/102.37 X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44219, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), X ) ), identity ) ] )
% 101.92/102.37 , clause( 44218, [ =( identity, 'least_upper_bound'( identity,
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), X ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 13747, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), X ) ), identity ) ] )
% 101.92/102.37 , clause( 44219, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), X ) ), identity ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44221, [ =( Y, multiply( inverse( 'least_upper_bound'( identity, X
% 101.92/102.37 ) ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ) ] )
% 101.92/102.37 , clause( 12253, [ =( multiply( inverse( 'least_upper_bound'( identity, X )
% 101.92/102.37 ), 'least_upper_bound'( Y, multiply( X, Y ) ) ), Y ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44224, [ =( X, multiply( inverse( identity ), 'least_upper_bound'(
% 101.92/102.37 X, multiply( 'greatest_lower_bound'( inverse( Y ), Y ), X ) ) ) ) ] )
% 101.92/102.37 , clause( 13747, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.37 inverse( X ), X ) ), identity ) ] )
% 101.92/102.37 , 0, clause( 44221, [ =( Y, multiply( inverse( 'least_upper_bound'(
% 101.92/102.37 identity, X ) ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 101.92/102.37 'greatest_lower_bound'( inverse( Y ), Y ) ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44225, [ =( X, multiply( identity, 'least_upper_bound'( X, multiply(
% 101.92/102.37 'greatest_lower_bound'( inverse( Y ), Y ), X ) ) ) ) ] )
% 101.92/102.37 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 101.92/102.37 , 0, clause( 44224, [ =( X, multiply( inverse( identity ),
% 101.92/102.37 'least_upper_bound'( X, multiply( 'greatest_lower_bound'( inverse( Y ), Y
% 101.92/102.37 ), X ) ) ) ) ] )
% 101.92/102.37 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44226, [ =( X, 'least_upper_bound'( X, multiply(
% 101.92/102.37 'greatest_lower_bound'( inverse( Y ), Y ), X ) ) ) ] )
% 101.92/102.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.37 , 0, clause( 44225, [ =( X, multiply( identity, 'least_upper_bound'( X,
% 101.92/102.37 multiply( 'greatest_lower_bound'( inverse( Y ), Y ), X ) ) ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, multiply(
% 101.92/102.37 'greatest_lower_bound'( inverse( Y ), Y ), X ) ) )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44227, [ =( 'least_upper_bound'( X, multiply(
% 101.92/102.37 'greatest_lower_bound'( inverse( Y ), Y ), X ) ), X ) ] )
% 101.92/102.37 , clause( 44226, [ =( X, 'least_upper_bound'( X, multiply(
% 101.92/102.37 'greatest_lower_bound'( inverse( Y ), Y ), X ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 13822, [ =( 'least_upper_bound'( Y, multiply(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), X ), Y ) ), Y ) ] )
% 101.92/102.37 , clause( 44227, [ =( 'least_upper_bound'( X, multiply(
% 101.92/102.37 'greatest_lower_bound'( inverse( Y ), Y ), X ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44229, [ =( X, 'least_upper_bound'( X, multiply(
% 101.92/102.37 'greatest_lower_bound'( inverse( Y ), Y ), X ) ) ) ] )
% 101.92/102.37 , clause( 13822, [ =( 'least_upper_bound'( Y, multiply(
% 101.92/102.37 'greatest_lower_bound'( inverse( X ), X ), Y ) ), Y ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44231, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 101.92/102.37 inverse( X ) ), 'greatest_lower_bound'( multiply( X, inverse( inverse( X
% 101.92/102.37 ) ) ), identity ) ) ) ] )
% 101.92/102.37 , clause( 2147, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 101.92/102.37 ), 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , 0, clause( 44229, [ =( X, 'least_upper_bound'( X, multiply(
% 101.92/102.37 'greatest_lower_bound'( inverse( Y ), Y ), X ) ) ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X )] ),
% 101.92/102.37 substitution( 1, [ :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44234, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 101.92/102.37 inverse( X ) ), 'greatest_lower_bound'( multiply( X, X ), identity ) ) )
% 101.92/102.37 ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 44231, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 101.92/102.37 inverse( inverse( X ) ), 'greatest_lower_bound'( multiply( X, inverse(
% 101.92/102.37 inverse( X ) ) ), identity ) ) ) ] )
% 101.92/102.37 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44236, [ =( inverse( inverse( X ) ), 'least_upper_bound'( X,
% 101.92/102.37 'greatest_lower_bound'( multiply( X, X ), identity ) ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 44234, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 101.92/102.37 inverse( inverse( X ) ), 'greatest_lower_bound'( multiply( X, X ),
% 101.92/102.37 identity ) ) ) ] )
% 101.92/102.37 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44237, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 multiply( X, X ), identity ) ) ) ] )
% 101.92/102.37 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.37 , 0, clause( 44236, [ =( inverse( inverse( X ) ), 'least_upper_bound'( X,
% 101.92/102.37 'greatest_lower_bound'( multiply( X, X ), identity ) ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44243, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 multiply( X, X ), identity ) ), X ) ] )
% 101.92/102.37 , clause( 44237, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 multiply( X, X ), identity ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 15150, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 multiply( X, X ), identity ) ), X ) ] )
% 101.92/102.37 , clause( 44243, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 multiply( X, X ), identity ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44246, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 multiply( X, X ), identity ) ) ) ] )
% 101.92/102.37 , clause( 15150, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 multiply( X, X ), identity ) ), X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44247, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 101.92/102.37 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.37 , clause( 459, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 101.92/102.37 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44248, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.37 identity, multiply( X, X ) ), X ) ) ] )
% 101.92/102.37 , clause( 44247, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X
% 101.92/102.37 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 44246, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 multiply( X, X ), identity ) ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply( X, X ) ),
% 101.92/102.37 :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44249, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 101.92/102.37 multiply( X, X ) ), X ), X ) ] )
% 101.92/102.37 , clause( 44248, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.37 identity, multiply( X, X ) ), X ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 15331, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 101.92/102.37 multiply( X, X ) ), X ), X ) ] )
% 101.92/102.37 , clause( 44249, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 101.92/102.37 , multiply( X, X ) ), X ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44251, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Z, X ) ) ) ] )
% 101.92/102.37 , clause( 267, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Z ),
% 101.92/102.37 'greatest_lower_bound'( Y, X ) ), 'least_upper_bound'( X, Z ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44254, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 101.92/102.37 multiply( X, X ) ), X ), 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 Y, 'greatest_lower_bound'( identity, multiply( X, X ) ) ) ) ) ] )
% 101.92/102.37 , clause( 15331, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 101.92/102.37 , multiply( X, X ) ), X ), X ) ] )
% 101.92/102.37 , 0, clause( 44251, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Z, X ) ) ) ] )
% 101.92/102.37 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.37 'greatest_lower_bound'( identity, multiply( X, X ) ) ), :=( Y, X ), :=( Z
% 101.92/102.37 , Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44255, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 101.92/102.37 'greatest_lower_bound'( identity, multiply( X, X ) ) ) ) ) ] )
% 101.92/102.37 , clause( 15331, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 101.92/102.37 , multiply( X, X ) ), X ), X ) ] )
% 101.92/102.37 , 0, clause( 44254, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.92/102.37 identity, multiply( X, X ) ), X ), 'least_upper_bound'( X,
% 101.92/102.37 'greatest_lower_bound'( Y, 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.37 , X ) ) ) ) ) ] )
% 101.92/102.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44258, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ) ) ] )
% 101.92/102.37 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.37 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 44255, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 Y, 'greatest_lower_bound'( identity, multiply( X, X ) ) ) ) ) ] )
% 101.92/102.37 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, identity ), :=( Z, multiply(
% 101.92/102.37 X, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44259, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ), X ) ] )
% 101.92/102.37 , clause( 44258, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 15427, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ), X ) ] )
% 101.92/102.37 , clause( 44259, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44260, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ) ) ] )
% 101.92/102.37 , clause( 15427, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ), X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44261, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Z, T ), Y ) ), 'least_upper_bound'( X,
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ) ) ) ] )
% 101.92/102.37 , clause( 480, [ =( 'least_upper_bound'( T, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Y, Z ), X ) ), 'least_upper_bound'( T,
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44262, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ) ) ] )
% 101.92/102.37 , clause( 44261, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Z, T ), Y ) ), 'least_upper_bound'( X,
% 101.92/102.37 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ) ) ) ] )
% 101.92/102.37 , 0, clause( 44260, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ) ) ] )
% 101.92/102.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, X ) ), :=( Z, Y
% 101.92/102.37 ), :=( T, identity )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44267, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ), X ) ] )
% 101.92/102.37 , clause( 44262, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 17250, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ), X ) ] )
% 101.92/102.37 , clause( 44267, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.37 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44269, [ =( 'least_upper_bound'( Y, multiply( X, Z ) ), multiply( X
% 101.92/102.37 , 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ) ] )
% 101.92/102.37 , clause( 1515, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 101.92/102.37 ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44274, [ =( 'least_upper_bound'( X, multiply( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Z, inverse( multiply( inverse( Y ), X ) ) ) ) ) ),
% 101.92/102.37 multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 101.92/102.37 , clause( 5315, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 101.92/102.37 X, inverse( Y ) ) ) ), Y ) ] )
% 101.92/102.37 , 0, clause( 44269, [ =( 'least_upper_bound'( Y, multiply( X, Z ) ),
% 101.92/102.37 multiply( X, 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ) ]
% 101.92/102.37 )
% 101.92/102.37 , 0, 15, substitution( 0, [ :=( X, Z ), :=( Y, multiply( inverse( Y ), X )
% 101.92/102.37 )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, inverse(
% 101.92/102.37 'least_upper_bound'( Z, inverse( multiply( inverse( Y ), X ) ) ) ) )] )
% 101.92/102.37 ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44275, [ =( 'least_upper_bound'( X, multiply( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Z, inverse( multiply( inverse( Y ), X ) ) ) ) ) ),
% 101.92/102.37 multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 101.92/102.37 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.92/102.37 ), Z ) ) ] )
% 101.92/102.37 , 0, clause( 44274, [ =( 'least_upper_bound'( X, multiply( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Z, inverse( multiply( inverse( Y ), X ) ) ) ) ) ),
% 101.92/102.37 multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, inverse( Y ) ), :=( Z, X )] )
% 101.92/102.37 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44276, [ =( 'least_upper_bound'( X, multiply( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Z, inverse( multiply( inverse( Y ), X ) ) ) ) ) ),
% 101.92/102.37 multiply( identity, X ) ) ] )
% 101.92/102.37 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.92/102.37 , 0, clause( 44275, [ =( 'least_upper_bound'( X, multiply( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Z, inverse( multiply( inverse( Y ), X ) ) ) ) ) ),
% 101.92/102.37 multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 101.92/102.37 , 0, 14, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44277, [ =( 'least_upper_bound'( X, multiply( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Z, inverse( multiply( inverse( Y ), X ) ) ) ) ) ), X
% 101.92/102.37 ) ] )
% 101.92/102.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.37 , 0, clause( 44276, [ =( 'least_upper_bound'( X, multiply( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Z, inverse( multiply( inverse( Y ), X ) ) ) ) ) ),
% 101.92/102.37 multiply( identity, X ) ) ] )
% 101.92/102.37 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.37 :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44278, [ =( 'least_upper_bound'( X, multiply( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Z, multiply( inverse( X ), Y ) ) ) ) ), X ) ] )
% 101.92/102.37 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.92/102.37 inverse( Y ), X ) ) ] )
% 101.92/102.37 , 0, clause( 44277, [ =( 'least_upper_bound'( X, multiply( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Z, inverse( multiply( inverse( Y ), X ) ) ) ) ) ), X
% 101.92/102.37 ) ] )
% 101.92/102.37 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.37 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 33430, [ =( 'least_upper_bound'( Y, multiply( X, inverse(
% 101.92/102.37 'least_upper_bound'( Z, multiply( inverse( Y ), X ) ) ) ) ), Y ) ] )
% 101.92/102.37 , clause( 44278, [ =( 'least_upper_bound'( X, multiply( Y, inverse(
% 101.92/102.37 'least_upper_bound'( Z, multiply( inverse( X ), Y ) ) ) ) ), X ) ] )
% 101.92/102.37 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.92/102.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44281, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ) ) ] )
% 101.92/102.37 , clause( 17250, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ), X ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 paramod(
% 101.92/102.37 clause( 44286, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( X, Y ),
% 101.92/102.37 identity ) ) ) ] )
% 101.92/102.37 , clause( 2278, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 101.92/102.37 X, T ), 'least_upper_bound'( Y, Z ) ), multiply( X, Z ) ), multiply( X, Z
% 101.92/102.37 ) ) ] )
% 101.92/102.37 , 0, clause( 44281, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.37 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ) ) ] )
% 101.92/102.37 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] )
% 101.92/102.37 , substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y,
% 101.92/102.37 multiply( X, Y ) )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 eqswap(
% 101.92/102.37 clause( 44287, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.37 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 101.92/102.37 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.37 , clause( 44286, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.37 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( X, Y ),
% 101.92/102.37 identity ) ) ) ] )
% 101.92/102.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.37
% 101.92/102.37
% 101.92/102.37 subsumption(
% 101.92/102.37 clause( 37380, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.37 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 101.92/102.37 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.37 , clause( 44287, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.37 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 101.92/102.38 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44288, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.38 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( X, Y ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , clause( 37380, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 101.92/102.38 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 101.92/102.38 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44291, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.38 'least_upper_bound'( Y, X ), 'greatest_lower_bound'( multiply( X, Y ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , clause( 88, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 101.92/102.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.38 , 0, clause( 44288, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.38 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( X, Y ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 101.92/102.38 'greatest_lower_bound'( multiply( X, Y ), identity ) )] ), substitution(
% 101.92/102.38 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44304, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 101.92/102.38 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 101.92/102.38 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.38 , clause( 44291, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.92/102.38 'least_upper_bound'( Y, X ), 'greatest_lower_bound'( multiply( X, Y ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 37420, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 101.92/102.38 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 101.92/102.38 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.38 , clause( 44304, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 101.92/102.38 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 101.92/102.38 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44306, [ =( 'greatest_lower_bound'( identity, Y ),
% 101.92/102.38 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.38 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.38 , clause( 2568, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 101.92/102.38 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 101.92/102.38 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44307, [ =( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 101.92/102.38 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 5332, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.38 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 101.92/102.38 ) ) ] )
% 101.92/102.38 , 0, clause( 44306, [ =( 'greatest_lower_bound'( identity, Y ),
% 101.92/102.38 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.92/102.38 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 101.92/102.38 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44308, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.38 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ] )
% 101.92/102.38 , clause( 44307, [ =( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 101.92/102.38 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 38716, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.38 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ] )
% 101.92/102.38 , clause( 44308, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.38 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44310, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 101.92/102.38 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 101.92/102.38 ] )
% 101.92/102.38 , clause( 1705, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 101.92/102.38 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 101.92/102.38 ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44317, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 101.92/102.38 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 101.92/102.38 , clause( 38716, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.92/102.38 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ] )
% 101.92/102.38 , 0, clause( 44310, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 101.92/102.38 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 101.92/102.38 , Y ) ) ) ) ] )
% 101.92/102.38 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.38 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 101.92/102.38 'greatest_lower_bound'( identity, X ) )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44318, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 101.92/102.38 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 101.92/102.38 , clause( 1010, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , 0, clause( 44317, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 101.92/102.38 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 101.92/102.38 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 101.92/102.38 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 101.92/102.38 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44319, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 101.92/102.38 X ) ) ) ) ) ) ] )
% 101.92/102.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.38 , 0, clause( 44318, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 101.92/102.38 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 101.92/102.38 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 101.92/102.38 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44321, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 101.92/102.38 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.38 , 0, clause( 44319, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 101.92/102.38 X ) ) ) ) ) ) ] )
% 101.92/102.38 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 101.92/102.38 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44322, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 101.92/102.38 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.38 , 0, clause( 44321, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 101.92/102.38 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 101.92/102.38 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44327, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 101.92/102.38 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.38 , 0, clause( 44322, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 101.92/102.38 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 101.92/102.38 , [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44328, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 inverse( X ) ) ) ] )
% 101.92/102.38 , clause( 582, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 101.92/102.38 ) ) ) ] )
% 101.92/102.38 , 0, clause( 44327, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 101.92/102.38 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44329, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 4859, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.38 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , 0, clause( 44328, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 inverse( X ) ) ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 101.92/102.38 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 38735, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 44329, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44332, [ =( 'least_upper_bound'( Y, X ), 'least_upper_bound'(
% 101.92/102.38 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( Y, X ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , clause( 37420, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 101.92/102.38 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 101.92/102.38 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44335, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 'greatest_lower_bound'( multiply( inverse( X ), identity ), identity ) )
% 101.92/102.38 ) ] )
% 101.92/102.38 , clause( 38735, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, clause( 44332, [ =( 'least_upper_bound'( Y, X ), 'least_upper_bound'(
% 101.92/102.38 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( Y, X ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.38 identity ), :=( Y, inverse( X ) )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44336, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 2306, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, clause( 44335, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 'greatest_lower_bound'( multiply( inverse( X ), identity ), identity ) )
% 101.92/102.38 ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, multiply( inverse( X ),
% 101.92/102.38 identity ) )] ), substitution( 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 38774, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 44336, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44339, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 101.92/102.38 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 101.92/102.38 , clause( 12266, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 101.92/102.38 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44342, [ =( X, multiply( inverse( inverse( 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ) ), 'least_upper_bound'( identity, multiply( identity, X )
% 101.92/102.38 ) ) ) ] )
% 101.92/102.38 , clause( 38735, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, clause( 44339, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 101.92/102.38 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.38 identity ), :=( Y, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44343, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 101.92/102.38 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.38 , 0, clause( 44342, [ =( X, multiply( inverse( inverse(
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( identity
% 101.92/102.38 , multiply( identity, X ) ) ) ) ] )
% 101.92/102.38 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 101.92/102.38 , substitution( 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44344, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.38 , 0, clause( 44343, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 101.92/102.38 , 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 101.92/102.38 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44345, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.38 , clause( 44344, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 38838, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.38 , clause( 44345, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44347, [ =( 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ),
% 101.92/102.38 multiply( 'least_upper_bound'( X, inverse( multiply( Y, Z ) ) ), Y ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , clause( 192, [ =( multiply( 'least_upper_bound'( Z, inverse( multiply( X
% 101.92/102.38 , Y ) ) ), X ), 'least_upper_bound'( multiply( Z, X ), inverse( Y ) ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44350, [ =( 'least_upper_bound'( multiply( identity, X ), inverse(
% 101.92/102.38 Y ) ), multiply( inverse( 'greatest_lower_bound'( identity, multiply( X,
% 101.92/102.38 Y ) ) ), X ) ) ] )
% 101.92/102.38 , clause( 38735, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, clause( 44347, [ =( 'least_upper_bound'( multiply( X, Y ), inverse( Z
% 101.92/102.38 ) ), multiply( 'least_upper_bound'( X, inverse( multiply( Y, Z ) ) ), Y
% 101.92/102.38 ) ) ] )
% 101.92/102.38 , 0, 8, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 101.92/102.38 :=( X, identity ), :=( Y, X ), :=( Z, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44351, [ =( 'least_upper_bound'( multiply( identity, X ), inverse(
% 101.92/102.38 Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 101.92/102.38 , clause( 2855, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.38 multiply( X, Y ) ) ), X ), inverse( 'greatest_lower_bound'( inverse( X )
% 101.92/102.38 , Y ) ) ) ] )
% 101.92/102.38 , 0, clause( 44350, [ =( 'least_upper_bound'( multiply( identity, X ),
% 101.92/102.38 inverse( Y ) ), multiply( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.38 multiply( X, Y ) ) ), X ) ) ] )
% 101.92/102.38 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.38 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44352, [ =( 'least_upper_bound'( X, inverse( Y ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 101.92/102.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.38 , 0, clause( 44351, [ =( 'least_upper_bound'( multiply( identity, X ),
% 101.92/102.38 inverse( Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.38 :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44353, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 101.92/102.38 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.38 , clause( 44352, [ =( 'least_upper_bound'( X, inverse( Y ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 38858, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 101.92/102.38 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.38 , clause( 44353, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 101.92/102.38 , 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44355, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 101.92/102.38 , clause( 38735, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44356, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.38 , inverse( Y ) ) ) ), 'least_upper_bound'( identity, multiply( Y, inverse(
% 101.92/102.38 X ) ) ) ) ] )
% 101.92/102.38 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.38 inverse( Y ) ) ) ] )
% 101.92/102.38 , 0, clause( 44355, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 101.92/102.38 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.38 :=( X, multiply( X, inverse( Y ) ) )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 38869, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.38 , inverse( Y ) ) ) ), 'least_upper_bound'( identity, multiply( Y, inverse(
% 101.92/102.38 X ) ) ) ) ] )
% 101.92/102.38 , clause( 44356, [ =( inverse( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.38 X, inverse( Y ) ) ) ), 'least_upper_bound'( identity, multiply( Y,
% 101.92/102.38 inverse( X ) ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44358, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 38838, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44359, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 101.92/102.38 , Z ), multiply( multiply( X, 'greatest_lower_bound'( Y, identity ) ), Z
% 101.92/102.38 ) ) ] )
% 101.92/102.38 , clause( 962, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 101.92/102.38 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 101.92/102.38 ), Z ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44362, [ =( multiply( identity, X ), multiply( multiply( identity,
% 101.92/102.38 'greatest_lower_bound'( X, identity ) ), 'least_upper_bound'( identity,
% 101.92/102.38 multiply( identity, X ) ) ) ) ] )
% 101.92/102.38 , clause( 44359, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 101.92/102.38 ), Z ), multiply( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 101.92/102.38 Z ) ) ] )
% 101.92/102.38 , 0, clause( 44358, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 101.92/102.38 , 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z,
% 101.92/102.38 'least_upper_bound'( identity, multiply( identity, X ) ) )] ),
% 101.92/102.38 substitution( 1, [ :=( X, multiply( identity, X ) )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44365, [ =( multiply( identity, X ), multiply(
% 101.92/102.38 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity,
% 101.92/102.38 multiply( identity, X ) ) ) ) ] )
% 101.92/102.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.38 , 0, clause( 44362, [ =( multiply( identity, X ), multiply( multiply(
% 101.92/102.38 identity, 'greatest_lower_bound'( X, identity ) ), 'least_upper_bound'(
% 101.92/102.38 identity, multiply( identity, X ) ) ) ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) )] )
% 101.92/102.38 , substitution( 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44371, [ =( multiply( identity, X ), multiply(
% 101.92/102.38 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity, X )
% 101.92/102.38 ) ) ] )
% 101.92/102.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.38 , 0, clause( 44365, [ =( multiply( identity, X ), multiply(
% 101.92/102.38 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity,
% 101.92/102.38 multiply( identity, X ) ) ) ) ] )
% 101.92/102.38 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44372, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.38 , 0, clause( 44371, [ =( multiply( identity, X ), multiply(
% 101.92/102.38 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity, X )
% 101.92/102.38 ) ) ] )
% 101.92/102.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44374, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.38 , clause( 44372, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 38940, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.38 , clause( 44374, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44377, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 101.92/102.38 X, multiply( Y, X ) ) ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.92/102.38 , clause( 516, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply(
% 101.92/102.38 X, Y ) ) ), 'greatest_lower_bound'( identity, X ) ), inverse( Y ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44382, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 101.92/102.38 inverse( 'greatest_lower_bound'( 'least_upper_bound'( identity, X ), X )
% 101.92/102.38 ), 'greatest_lower_bound'( identity, 'greatest_lower_bound'( identity, X
% 101.92/102.38 ) ) ) ) ] )
% 101.92/102.38 , clause( 38838, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.38 , 0, clause( 44377, [ =( inverse( X ), multiply( inverse(
% 101.92/102.38 'greatest_lower_bound'( X, multiply( Y, X ) ) ), 'greatest_lower_bound'(
% 101.92/102.38 identity, Y ) ) ) ] )
% 101.92/102.38 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.92/102.38 'least_upper_bound'( identity, X ) ), :=( Y, 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44383, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 101.92/102.38 inverse( X ), 'greatest_lower_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ) ) ) ] )
% 101.92/102.38 , clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 101.92/102.38 , X ) ] )
% 101.92/102.38 , 0, clause( 44382, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.38 multiply( inverse( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 101.92/102.38 , X ), X ) ), 'greatest_lower_bound'( identity, 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ) ) ) ] )
% 101.92/102.38 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 101.92/102.38 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44384, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 101.92/102.38 inverse( X ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity,
% 101.92/102.38 identity ), X ) ) ) ] )
% 101.92/102.38 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.38 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.38 , 0, clause( 44383, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.38 multiply( inverse( X ), 'greatest_lower_bound'( identity,
% 101.92/102.38 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 101.92/102.38 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, identity ), :=( Z, X )] )
% 101.92/102.38 , substitution( 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44385, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 101.92/102.38 inverse( X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 101.92/102.38 , 0, clause( 44384, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.38 multiply( inverse( X ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.38 identity, identity ), X ) ) ) ] )
% 101.92/102.38 , 0, 9, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 101.92/102.38 X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44386, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.38 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.38 , clause( 774, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 101.92/102.38 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.38 , 0, clause( 44385, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.38 multiply( inverse( X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44387, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 44386, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.38 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 38958, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 44387, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44389, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.38 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 101.92/102.38 , clause( 7428, [ =( 'greatest_lower_bound'( multiply( multiply( T,
% 101.92/102.38 'least_upper_bound'( X, inverse( Z ) ) ), Z ), T ), T ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z ), :=( T, X )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44395, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 'greatest_lower_bound'( multiply( inverse( X ), X ),
% 101.92/102.38 'greatest_lower_bound'( inverse( X ), identity ) ) ) ] )
% 101.92/102.38 , clause( 38940, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 101.92/102.38 'least_upper_bound'( identity, X ) ), X ) ] )
% 101.92/102.38 , 0, clause( 44389, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 101.92/102.38 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 101.92/102.38 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 101.92/102.38 :=( X, 'greatest_lower_bound'( inverse( X ), identity ) ), :=( Y,
% 101.92/102.38 identity ), :=( Z, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44396, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( multiply( inverse( X ), X
% 101.92/102.38 ), inverse( X ) ), identity ) ) ] )
% 101.92/102.38 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.92/102.38 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.92/102.38 , 0, clause( 44395, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 'greatest_lower_bound'( multiply( inverse( X ), X ),
% 101.92/102.38 'greatest_lower_bound'( inverse( X ), identity ) ) ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, multiply( inverse( X ), X ) ), :=( Y,
% 101.92/102.38 inverse( X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44397, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( identity, inverse( X ) )
% 101.92/102.38 , identity ) ) ] )
% 101.92/102.38 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.92/102.38 , 0, clause( 44396, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( multiply( inverse( X ), X
% 101.92/102.38 ), inverse( X ) ), identity ) ) ] )
% 101.92/102.38 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44398, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 101.92/102.38 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.92/102.38 , 0, clause( 44397, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( identity, inverse( X ) )
% 101.92/102.38 , identity ) ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 101.92/102.38 substitution( 1, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44399, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.38 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 101.92/102.38 , clause( 38958, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, clause( 44398, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.92/102.38 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 101.92/102.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44400, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 101.92/102.38 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 44399, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.92/102.38 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 39025, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 101.92/102.38 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 44400, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 101.92/102.38 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44402, [ =( 'greatest_lower_bound'( multiply( X, Y ), inverse( Z )
% 101.92/102.38 ), multiply( 'greatest_lower_bound'( X, inverse( multiply( Y, Z ) ) ), Y
% 101.92/102.38 ) ) ] )
% 101.92/102.38 , clause( 190, [ =( multiply( 'greatest_lower_bound'( Z, inverse( multiply(
% 101.92/102.38 X, Y ) ) ), X ), 'greatest_lower_bound'( multiply( Z, X ), inverse( Y ) )
% 101.92/102.38 ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44405, [ =( 'greatest_lower_bound'( multiply( identity, X ),
% 101.92/102.38 inverse( Y ) ), multiply( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 multiply( X, Y ) ) ), X ) ) ] )
% 101.92/102.38 , clause( 39025, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 101.92/102.38 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, clause( 44402, [ =( 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 101.92/102.38 Z ) ), multiply( 'greatest_lower_bound'( X, inverse( multiply( Y, Z ) ) )
% 101.92/102.38 , Y ) ) ] )
% 101.92/102.38 , 0, 8, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 101.92/102.38 :=( X, identity ), :=( Y, X ), :=( Z, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44406, [ =( 'greatest_lower_bound'( multiply( identity, X ),
% 101.92/102.38 inverse( Y ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 101.92/102.38 , clause( 1596, [ =( multiply( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 multiply( X, Y ) ) ), X ), inverse( 'least_upper_bound'( inverse( X ), Y
% 101.92/102.38 ) ) ) ] )
% 101.92/102.38 , 0, clause( 44405, [ =( 'greatest_lower_bound'( multiply( identity, X ),
% 101.92/102.38 inverse( Y ) ), multiply( inverse( 'least_upper_bound'( identity,
% 101.92/102.38 multiply( X, Y ) ) ), X ) ) ] )
% 101.92/102.38 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.38 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44407, [ =( 'greatest_lower_bound'( X, inverse( Y ) ), inverse(
% 101.92/102.38 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 101.92/102.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.92/102.38 , 0, clause( 44406, [ =( 'greatest_lower_bound'( multiply( identity, X ),
% 101.92/102.38 inverse( Y ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 101.92/102.38 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.38 :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44408, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.38 , clause( 44407, [ =( 'greatest_lower_bound'( X, inverse( Y ) ), inverse(
% 101.92/102.38 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 39138, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.38 , clause( 44408, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44409, [ =( 'greatest_lower_bound'( X, inverse( Y ) ), inverse(
% 101.92/102.38 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 101.92/102.38 , clause( 39138, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44413, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( X
% 101.92/102.38 ), Y ), inverse( Z ) ), inverse( 'least_upper_bound'(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ), Z ) ) ) ] )
% 101.92/102.38 , clause( 39138, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.38 , 0, clause( 44409, [ =( 'greatest_lower_bound'( X, inverse( Y ) ), inverse(
% 101.92/102.38 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 101.92/102.38 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.38 :=( X, 'least_upper_bound'( inverse( X ), Y ) ), :=( Y, Z )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 39434, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( X
% 101.92/102.38 ), Y ), inverse( Z ) ), inverse( 'least_upper_bound'(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ), Z ) ) ) ] )
% 101.92/102.38 , clause( 44413, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 101.92/102.38 X ), Y ), inverse( Z ) ), inverse( 'least_upper_bound'(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ), Z ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44420, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.38 inverse( X ), Y ), Z ), T ) ) ) ) ] )
% 101.92/102.38 , clause( 5184, [ =( 'greatest_lower_bound'( X, inverse(
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.38 inverse( X ), Y ), Z ), T ) ) ), X ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44424, [ =( 'least_upper_bound'( inverse( X ), Y ),
% 101.92/102.38 'greatest_lower_bound'( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ), Z ), T ), U ) ) ) ) ] )
% 101.92/102.38 , clause( 39138, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.38 , 0, clause( 44420, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.38 inverse( X ), Y ), Z ), T ) ) ) ) ] )
% 101.92/102.38 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.38 :=( X, 'least_upper_bound'( inverse( X ), Y ) ), :=( Y, Z ), :=( Z, T ),
% 101.92/102.38 :=( T, U )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44425, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 101.92/102.38 'least_upper_bound'( 'greatest_lower_bound'( X, inverse( Y ) ),
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ), Z ), T ), U ) ) ) ) ] )
% 101.92/102.38 , clause( 39434, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 101.92/102.38 X ), Y ), inverse( Z ) ), inverse( 'least_upper_bound'(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ), Z ) ) ) ] )
% 101.92/102.38 , 0, clause( 44424, [ =( 'least_upper_bound'( inverse( X ), Y ),
% 101.92/102.38 'greatest_lower_bound'( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ), Z ), T ), U ) ) ) ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ), Z ), T ), U ) )] ),
% 101.92/102.38 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 101.92/102.38 , U )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44426, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 101.92/102.38 , clause( 148, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ) ), X ) ]
% 101.92/102.38 )
% 101.92/102.38 , 0, clause( 44425, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 101.92/102.38 'least_upper_bound'( 'greatest_lower_bound'( X, inverse( Y ) ),
% 101.92/102.38 'greatest_lower_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ), Z ), T ), U ) ) ) ) ] )
% 101.92/102.38 , 0, 6, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, inverse( Y ) )
% 101.92/102.38 ), :=( Y, Z ), :=( Z, T ), :=( T, U )] ), substitution( 1, [ :=( X, X )
% 101.92/102.38 , :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44427, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ),
% 101.92/102.38 'least_upper_bound'( inverse( X ), Y ) ) ] )
% 101.92/102.38 , clause( 44426, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 39542, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ),
% 101.92/102.38 'least_upper_bound'( inverse( X ), Y ) ) ] )
% 101.92/102.38 , clause( 44427, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) )
% 101.92/102.38 , 'least_upper_bound'( inverse( X ), Y ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44430, [ =( multiply( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.38 , Y ) ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 101.92/102.38 , clause( 38858, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 101.92/102.38 , 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 101.92/102.38 , 0, clause( 2851, [ =( multiply( 'greatest_lower_bound'( identity,
% 101.92/102.38 multiply( X, Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 101.92/102.38 ), X ) ] )
% 101.92/102.38 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.38 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 39723, [ =( multiply( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.38 , Y ) ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 101.92/102.38 , clause( 44430, [ =( multiply( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.38 X, Y ) ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44434, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 101.92/102.38 X ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 38774, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, clause( 1096, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 101.92/102.38 identity, X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 101.92/102.38 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 39739, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 101.92/102.38 X ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 44434, [ =( multiply( inverse( X ), 'least_upper_bound'( identity
% 101.92/102.38 , X ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44437, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 101.92/102.38 , clause( 39542, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) )
% 101.92/102.38 , 'least_upper_bound'( inverse( X ), Y ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44441, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.38 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.38 , 0, clause( 44437, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 101.92/102.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 101.92/102.38 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.38 :=( Y, inverse( Y ) )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 39971, [ =( 'least_upper_bound'( inverse( Y ), inverse( X ) ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.38 , clause( 44441, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44445, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.38 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 101.92/102.38 , clause( 39971, [ =( 'least_upper_bound'( inverse( Y ), inverse( X ) ),
% 101.92/102.38 inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44446, [ =( inverse( 'greatest_lower_bound'( multiply( X, inverse(
% 101.92/102.38 Y ) ), Z ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ), inverse(
% 101.92/102.38 Z ) ) ) ] )
% 101.92/102.38 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.38 inverse( Y ) ) ) ] )
% 101.92/102.38 , 0, clause( 44445, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.92/102.38 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 101.92/102.38 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.38 :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Z )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44448, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 101.92/102.38 inverse( Z ) ), inverse( 'greatest_lower_bound'( multiply( X, inverse( Y
% 101.92/102.38 ) ), Z ) ) ) ] )
% 101.92/102.38 , clause( 44446, [ =( inverse( 'greatest_lower_bound'( multiply( X, inverse(
% 101.92/102.38 Y ) ), Z ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ), inverse(
% 101.92/102.38 Z ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 40049, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 101.92/102.38 inverse( Z ) ), inverse( 'greatest_lower_bound'( multiply( X, inverse( Y
% 101.92/102.38 ) ), Z ) ) ) ] )
% 101.92/102.38 , clause( 44448, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 101.92/102.38 inverse( Z ) ), inverse( 'greatest_lower_bound'( multiply( X, inverse( Y
% 101.92/102.38 ) ), Z ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.92/102.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44451, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 multiply( inverse( X ), 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , clause( 39739, [ =( multiply( inverse( X ), 'least_upper_bound'( identity
% 101.92/102.38 , X ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44462, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.38 , inverse( 'least_upper_bound'( Y, multiply( inverse( identity ), X ) ) )
% 101.92/102.38 ) ) ), multiply( inverse( multiply( X, inverse( 'least_upper_bound'( Y,
% 101.92/102.38 multiply( inverse( identity ), X ) ) ) ) ), identity ) ) ] )
% 101.92/102.38 , clause( 33430, [ =( 'least_upper_bound'( Y, multiply( X, inverse(
% 101.92/102.38 'least_upper_bound'( Z, multiply( inverse( Y ), X ) ) ) ) ), Y ) ] )
% 101.92/102.38 , 0, clause( 44451, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.92/102.38 multiply( inverse( X ), 'least_upper_bound'( identity, X ) ) ) ] )
% 101.92/102.38 , 0, 24, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 101.92/102.38 substitution( 1, [ :=( X, multiply( X, inverse( 'least_upper_bound'( Y,
% 101.92/102.38 multiply( inverse( identity ), X ) ) ) ) )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44463, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.38 , inverse( 'least_upper_bound'( Y, multiply( inverse( identity ), X ) ) )
% 101.92/102.38 ) ) ), inverse( multiply( X, inverse( 'least_upper_bound'( Y, multiply(
% 101.92/102.38 inverse( identity ), X ) ) ) ) ) ) ] )
% 101.92/102.38 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 101.92/102.38 , 0, clause( 44462, [ =( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.38 multiply( X, inverse( 'least_upper_bound'( Y, multiply( inverse( identity
% 101.92/102.38 ), X ) ) ) ) ) ), multiply( inverse( multiply( X, inverse(
% 101.92/102.38 'least_upper_bound'( Y, multiply( inverse( identity ), X ) ) ) ) ),
% 101.92/102.38 identity ) ) ] )
% 101.92/102.38 , 0, 13, substitution( 0, [ :=( X, inverse( multiply( X, inverse(
% 101.92/102.38 'least_upper_bound'( Y, multiply( inverse( identity ), X ) ) ) ) ) )] ),
% 101.92/102.38 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44464, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.38 , inverse( 'least_upper_bound'( Y, multiply( inverse( identity ), X ) ) )
% 101.92/102.38 ) ) ), multiply( 'least_upper_bound'( Y, multiply( inverse( identity ),
% 101.92/102.38 X ) ), inverse( X ) ) ) ] )
% 101.92/102.38 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 101.92/102.38 inverse( Y ) ) ) ] )
% 101.92/102.38 , 0, clause( 44463, [ =( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.38 multiply( X, inverse( 'least_upper_bound'( Y, multiply( inverse( identity
% 101.92/102.38 ), X ) ) ) ) ) ), inverse( multiply( X, inverse( 'least_upper_bound'( Y
% 101.92/102.38 , multiply( inverse( identity ), X ) ) ) ) ) ) ] )
% 101.92/102.38 , 0, 13, substitution( 0, [ :=( X, 'least_upper_bound'( Y, multiply(
% 101.92/102.38 inverse( identity ), X ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X
% 101.92/102.38 ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44465, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.38 , inverse( 'least_upper_bound'( Y, multiply( inverse( identity ), X ) ) )
% 101.92/102.38 ) ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ), inverse(
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , clause( 1010, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , 0, clause( 44464, [ =( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.38 multiply( X, inverse( 'least_upper_bound'( Y, multiply( inverse( identity
% 101.92/102.38 ), X ) ) ) ) ) ), multiply( 'least_upper_bound'( Y, multiply( inverse(
% 101.92/102.38 identity ), X ) ), inverse( X ) ) ) ] )
% 101.92/102.38 , 0, 13, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, X ), :=( Z
% 101.92/102.38 , Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44466, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 101.92/102.38 , inverse( 'least_upper_bound'( Y, multiply( inverse( identity ), X ) ) )
% 101.92/102.38 ) ) ), inverse( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , clause( 40049, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 101.92/102.38 inverse( Z ) ), inverse( 'greatest_lower_bound'( multiply( X, inverse( Y
% 101.92/102.38 ) ), Z ) ) ) ] )
% 101.92/102.38 , 0, clause( 44465, [ =( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.38 multiply( X, inverse( 'least_upper_bound'( Y, multiply( inverse( identity
% 101.92/102.38 ), X ) ) ) ) ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 101.92/102.38 inverse( identity ) ) ) ] )
% 101.92/102.38 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 101.92/102.38 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44467, [ =( 'least_upper_bound'( identity, multiply(
% 101.92/102.38 'least_upper_bound'( Y, multiply( inverse( identity ), X ) ), inverse( X
% 101.92/102.38 ) ) ), inverse( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , clause( 38869, [ =( inverse( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.38 X, inverse( Y ) ) ) ), 'least_upper_bound'( identity, multiply( Y,
% 101.92/102.38 inverse( X ) ) ) ) ] )
% 101.92/102.38 , 0, clause( 44466, [ =( inverse( 'greatest_lower_bound'( identity,
% 101.92/102.38 multiply( X, inverse( 'least_upper_bound'( Y, multiply( inverse( identity
% 101.92/102.38 ), X ) ) ) ) ) ), inverse( 'greatest_lower_bound'( multiply( X, inverse(
% 101.92/102.38 Y ) ), identity ) ) ) ] )
% 101.92/102.38 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y,
% 101.92/102.38 multiply( inverse( identity ), X ) ) )] ), substitution( 1, [ :=( X, X )
% 101.92/102.38 , :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44468, [ =( 'least_upper_bound'( identity, 'least_upper_bound'(
% 101.92/102.38 multiply( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ) ] )
% 101.92/102.38 , clause( 1010, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , 0, clause( 44467, [ =( 'least_upper_bound'( identity, multiply(
% 101.92/102.38 'least_upper_bound'( Y, multiply( inverse( identity ), X ) ), inverse( X
% 101.92/102.38 ) ) ), inverse( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, Y ), :=( Z
% 101.92/102.38 , X )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44469, [ =( 'least_upper_bound'( 'least_upper_bound'( identity,
% 101.92/102.38 multiply( X, inverse( Y ) ) ), inverse( identity ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ) ] )
% 101.92/102.38 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.92/102.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.92/102.38 , 0, clause( 44468, [ =( 'least_upper_bound'( identity, 'least_upper_bound'(
% 101.92/102.38 multiply( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ) ] )
% 101.92/102.38 , 0, 1, substitution( 0, [ :=( X, identity ), :=( Y, multiply( X, inverse(
% 101.92/102.38 Y ) ) ), :=( Z, inverse( identity ) )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.38 :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44470, [ =( 'least_upper_bound'( 'least_upper_bound'( identity,
% 101.92/102.38 multiply( X, inverse( Y ) ) ), identity ), inverse(
% 101.92/102.38 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ) ] )
% 101.92/102.38 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 101.92/102.38 , 0, clause( 44469, [ =( 'least_upper_bound'( 'least_upper_bound'( identity
% 101.92/102.38 , multiply( X, inverse( Y ) ) ), inverse( identity ) ), inverse(
% 101.92/102.38 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ) ] )
% 101.92/102.38 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44471, [ =( 'least_upper_bound'( identity, multiply( X, inverse( Y
% 101.92/102.38 ) ) ), inverse( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.92/102.38 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.38 , 0, clause( 44470, [ =( 'least_upper_bound'( 'least_upper_bound'( identity
% 101.92/102.38 , multiply( X, inverse( Y ) ) ), identity ), inverse(
% 101.92/102.38 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ) ] )
% 101.92/102.38 , 0, 1, substitution( 0, [ :=( X, identity ), :=( Y, multiply( X, inverse(
% 101.92/102.38 Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44472, [ =( inverse( 'greatest_lower_bound'( multiply( Y, inverse(
% 101.92/102.38 X ) ), identity ) ), 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.38 Y ) ) ) ) ] )
% 101.92/102.38 , clause( 44471, [ =( 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.38 Y ) ) ), inverse( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 101.92/102.38 identity ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 41528, [ =( inverse( 'greatest_lower_bound'( multiply( X, inverse(
% 101.92/102.38 Y ) ), identity ) ), 'least_upper_bound'( identity, multiply( Y, inverse(
% 101.92/102.38 X ) ) ) ) ] )
% 101.92/102.38 , clause( 44472, [ =( inverse( 'greatest_lower_bound'( multiply( Y, inverse(
% 101.92/102.38 X ) ), identity ) ), 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.38 Y ) ) ) ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44474, [ =( X, multiply( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.38 X, Y ) ), 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 101.92/102.38 , clause( 39723, [ =( multiply( 'greatest_lower_bound'( identity, multiply(
% 101.92/102.38 X, Y ) ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44482, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( X, inverse( inverse( Y ) ) ) ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , clause( 5165, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 101.92/102.38 X ) ) ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ] )
% 101.92/102.38 , 0, clause( 44474, [ =( X, multiply( 'greatest_lower_bound'( identity,
% 101.92/102.38 multiply( X, Y ) ), 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 101.92/102.38 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.38 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44483, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.38 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 101.92/102.38 , 0, clause( 44482, [ =( X, multiply( multiply( 'greatest_lower_bound'( X,
% 101.92/102.38 Y ), inverse( Y ) ), 'least_upper_bound'( X, inverse( inverse( Y ) ) ) )
% 101.92/102.38 ) ] )
% 101.92/102.38 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.38 :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44484, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 101.92/102.38 , clause( 44483, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y )
% 101.92/102.38 , inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 42249, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 101.92/102.38 , clause( 44484, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44485, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.38 , clause( 42249, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44486, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.38 , clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 101.92/102.38 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 101.92/102.38 , 0, clause( 44485, [ =( X, multiply( multiply( 'greatest_lower_bound'( X,
% 101.92/102.38 Y ), inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.92/102.38 , 0, 2, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'( X, Y )
% 101.92/102.38 , inverse( Y ) ) ), :=( Y, X ), :=( Z, Y )] ), substitution( 1, [ :=( X,
% 101.92/102.38 X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44489, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ), X ) ] )
% 101.92/102.38 , clause( 44486, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y )
% 101.92/102.38 , inverse( Y ) ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 42263, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ), X ) ] )
% 101.92/102.38 , clause( 44489, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ), X ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44490, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.38 , clause( 42263, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ), X ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44491, [ =( X, multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.38 , clause( 216, [ =( multiply( multiply( 'greatest_lower_bound'( X, Z ), Y )
% 101.92/102.38 , T ), multiply( multiply( 'greatest_lower_bound'( Z, X ), Y ), T ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , 0, clause( 44490, [ =( X, multiply( multiply( 'greatest_lower_bound'( X,
% 101.92/102.38 Y ), inverse( Y ) ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.38 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, Y ),
% 101.92/102.38 :=( T, 'least_upper_bound'( Y, X ) )] ), substitution( 1, [ :=( X, X ),
% 101.92/102.38 :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44494, [ =( multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ), X ) ] )
% 101.92/102.38 , clause( 44491, [ =( X, multiply( multiply( 'greatest_lower_bound'( Y, X )
% 101.92/102.38 , inverse( Y ) ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 42268, [ =( multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ), X ) ] )
% 101.92/102.38 , clause( 44494, [ =( multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ), X ) ] )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44496, [ =( Y, multiply( inverse( 'greatest_lower_bound'( X,
% 101.92/102.38 identity ) ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ) ] )
% 101.92/102.38 , clause( 12414, [ =( multiply( inverse( 'greatest_lower_bound'( X,
% 101.92/102.38 identity ) ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44500, [ =( 'least_upper_bound'( X, Y ), multiply( inverse(
% 101.92/102.38 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.92/102.38 X ) ), identity ) ), 'greatest_lower_bound'( Y, 'least_upper_bound'( X, Y
% 101.92/102.38 ) ) ) ) ] )
% 101.92/102.38 , clause( 42268, [ =( multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 101.92/102.38 inverse( Y ) ), 'least_upper_bound'( Y, X ) ), X ) ] )
% 101.92/102.38 , 0, clause( 44496, [ =( Y, multiply( inverse( 'greatest_lower_bound'( X,
% 101.92/102.38 identity ) ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ) ] )
% 101.92/102.38 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.38 :=( X, multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), :=( Y
% 101.92/102.38 , 'least_upper_bound'( X, Y ) )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44501, [ =( 'least_upper_bound'( X, Y ), multiply(
% 101.92/102.38 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.38 'greatest_lower_bound'( X, Y ) ) ) ), 'greatest_lower_bound'( Y,
% 101.92/102.38 'least_upper_bound'( X, Y ) ) ) ) ] )
% 101.92/102.38 , clause( 41528, [ =( inverse( 'greatest_lower_bound'( multiply( X, inverse(
% 101.92/102.38 Y ) ), identity ) ), 'least_upper_bound'( identity, multiply( Y, inverse(
% 101.92/102.38 X ) ) ) ) ] )
% 101.92/102.38 , 0, clause( 44500, [ =( 'least_upper_bound'( X, Y ), multiply( inverse(
% 101.92/102.38 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.92/102.38 X ) ), identity ) ), 'greatest_lower_bound'( Y, 'least_upper_bound'( X, Y
% 101.92/102.38 ) ) ) ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 101.92/102.38 X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44502, [ =( 'least_upper_bound'( X, Y ), multiply( multiply( X,
% 101.92/102.38 inverse( 'greatest_lower_bound'( X, Y ) ) ), 'greatest_lower_bound'( Y,
% 101.92/102.38 'least_upper_bound'( X, Y ) ) ) ) ] )
% 101.92/102.38 , clause( 4022, [ =( 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.38 'greatest_lower_bound'( X, Y ) ) ) ), multiply( X, inverse(
% 101.92/102.38 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 101.92/102.38 , 0, clause( 44501, [ =( 'least_upper_bound'( X, Y ), multiply(
% 101.92/102.38 'least_upper_bound'( identity, multiply( X, inverse(
% 101.92/102.38 'greatest_lower_bound'( X, Y ) ) ) ), 'greatest_lower_bound'( Y,
% 101.92/102.38 'least_upper_bound'( X, Y ) ) ) ) ] )
% 101.92/102.38 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.92/102.38 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 paramod(
% 101.92/102.38 clause( 44503, [ =( 'least_upper_bound'( X, Y ), multiply( multiply( X,
% 101.92/102.38 inverse( 'greatest_lower_bound'( X, Y ) ) ), Y ) ) ] )
% 101.92/102.38 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.92/102.38 , X ) ] )
% 101.92/102.38 , 0, clause( 44502, [ =( 'least_upper_bound'( X, Y ), multiply( multiply( X
% 101.92/102.38 , inverse( 'greatest_lower_bound'( X, Y ) ) ), 'greatest_lower_bound'( Y
% 101.92/102.38 , 'least_upper_bound'( X, Y ) ) ) ) ] )
% 101.92/102.38 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.92/102.38 :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44504, [ =( multiply( multiply( X, inverse( 'greatest_lower_bound'(
% 101.92/102.38 X, Y ) ) ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.38 , clause( 44503, [ =( 'least_upper_bound'( X, Y ), multiply( multiply( X,
% 101.92/102.38 inverse( 'greatest_lower_bound'( X, Y ) ) ), Y ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 42272, [ =( multiply( multiply( X, inverse( 'greatest_lower_bound'(
% 101.92/102.38 X, Y ) ) ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 101.92/102.38 , clause( 44504, [ =( multiply( multiply( X, inverse(
% 101.92/102.38 'greatest_lower_bound'( X, Y ) ) ), Y ), 'least_upper_bound'( X, Y ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.92/102.38 )] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44505, [ =( 'least_upper_bound'( X, Y ), multiply( multiply( X,
% 101.92/102.38 inverse( 'greatest_lower_bound'( X, Y ) ) ), Y ) ) ] )
% 101.92/102.38 , clause( 42272, [ =( multiply( multiply( X, inverse(
% 101.92/102.38 'greatest_lower_bound'( X, Y ) ) ), Y ), 'least_upper_bound'( X, Y ) ) ]
% 101.92/102.38 )
% 101.92/102.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 eqswap(
% 101.92/102.38 clause( 44506, [ ~( =( 'least_upper_bound'( a, b ), multiply( multiply( a,
% 101.92/102.38 inverse( 'greatest_lower_bound'( a, b ) ) ), b ) ) ) ] )
% 101.92/102.38 , clause( 18, [ ~( =( multiply( multiply( a, inverse(
% 101.92/102.38 'greatest_lower_bound'( a, b ) ) ), b ), 'least_upper_bound'( a, b ) ) )
% 101.92/102.38 ] )
% 101.92/102.38 , 0, substitution( 0, [] )).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 resolution(
% 101.92/102.38 clause( 44507, [] )
% 101.92/102.38 , clause( 44506, [ ~( =( 'least_upper_bound'( a, b ), multiply( multiply( a
% 101.92/102.38 , inverse( 'greatest_lower_bound'( a, b ) ) ), b ) ) ) ] )
% 101.92/102.38 , 0, clause( 44505, [ =( 'least_upper_bound'( X, Y ), multiply( multiply( X
% 101.92/102.38 , inverse( 'greatest_lower_bound'( X, Y ) ) ), Y ) ) ] )
% 101.92/102.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 101.92/102.38 ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 subsumption(
% 101.92/102.38 clause( 42376, [] )
% 101.92/102.38 , clause( 44507, [] )
% 101.92/102.38 , substitution( 0, [] ), permutation( 0, [] ) ).
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 end.
% 101.92/102.38
% 101.92/102.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 101.92/102.38
% 101.92/102.38 Memory use:
% 101.92/102.38
% 101.92/102.38 space for terms: 609200
% 101.92/102.38 space for clauses: 4445054
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 clauses generated: 29016320
% 101.92/102.38 clauses kept: 42377
% 101.92/102.38 clauses selected: 7130
% 101.92/102.38 clauses deleted: 18387
% 101.92/102.38 clauses inuse deleted: 2165
% 101.92/102.38
% 101.92/102.38 subsentry: 1265422
% 101.92/102.38 literals s-matched: 1259920
% 101.92/102.38 literals matched: 1259310
% 101.92/102.38 full subsumption: 0
% 101.92/102.38
% 101.92/102.38 checksum: 1071183379
% 101.92/102.38
% 101.92/102.38
% 101.92/102.38 Bliksem ended
%------------------------------------------------------------------------------