TSTP Solution File: GRP184-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP184-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:35:57 EDT 2022
% Result : Unsatisfiable 108.56s 108.92s
% Output : Refutation 108.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP184-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 09:06:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 108.56/108.92 *** allocated 10000 integers for termspace/termends
% 108.56/108.92 *** allocated 10000 integers for clauses
% 108.56/108.92 *** allocated 10000 integers for justifications
% 108.56/108.92 Bliksem 1.12
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Automatic Strategy Selection
% 108.56/108.92
% 108.56/108.92 Clauses:
% 108.56/108.92 [
% 108.56/108.92 [ =( multiply( identity, X ), X ) ],
% 108.56/108.92 [ =( multiply( inverse( X ), X ), identity ) ],
% 108.56/108.92 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 108.56/108.92 ],
% 108.56/108.92 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 108.56/108.92 ,
% 108.56/108.92 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 108.56/108.92 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.92 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 108.56/108.92 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.92 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 108.56/108.92 [ =( 'least_upper_bound'( X, X ), X ) ],
% 108.56/108.92 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 108.56/108.92 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 108.56/108.92 ,
% 108.56/108.92 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 108.56/108.92 ,
% 108.56/108.92 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 108.56/108.92 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 108.56/108.92 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.92 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 108.56/108.92 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 108.56/108.92 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 108.56/108.92 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 108.56/108.92 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 108.56/108.92 [ =( inverse( identity ), identity ) ],
% 108.56/108.92 [ =( inverse( inverse( X ) ), X ) ],
% 108.56/108.92 [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), inverse( X ) )
% 108.56/108.92 ) ],
% 108.56/108.92 [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 108.56/108.92 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 108.56/108.92 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 108.56/108.92 ) ) ) ) ]
% 108.56/108.92 ] .
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 percentage equality = 1.000000, percentage horn = 1.000000
% 108.56/108.92 This is a pure equality problem
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Options Used:
% 108.56/108.92
% 108.56/108.92 useres = 1
% 108.56/108.92 useparamod = 1
% 108.56/108.92 useeqrefl = 1
% 108.56/108.92 useeqfact = 1
% 108.56/108.92 usefactor = 1
% 108.56/108.92 usesimpsplitting = 0
% 108.56/108.92 usesimpdemod = 5
% 108.56/108.92 usesimpres = 3
% 108.56/108.92
% 108.56/108.92 resimpinuse = 1000
% 108.56/108.92 resimpclauses = 20000
% 108.56/108.92 substype = eqrewr
% 108.56/108.92 backwardsubs = 1
% 108.56/108.92 selectoldest = 5
% 108.56/108.92
% 108.56/108.92 litorderings [0] = split
% 108.56/108.92 litorderings [1] = extend the termordering, first sorting on arguments
% 108.56/108.92
% 108.56/108.92 termordering = kbo
% 108.56/108.92
% 108.56/108.92 litapriori = 0
% 108.56/108.92 termapriori = 1
% 108.56/108.92 litaposteriori = 0
% 108.56/108.92 termaposteriori = 0
% 108.56/108.92 demodaposteriori = 0
% 108.56/108.92 ordereqreflfact = 0
% 108.56/108.92
% 108.56/108.92 litselect = negord
% 108.56/108.92
% 108.56/108.92 maxweight = 15
% 108.56/108.92 maxdepth = 30000
% 108.56/108.92 maxlength = 115
% 108.56/108.92 maxnrvars = 195
% 108.56/108.92 excuselevel = 1
% 108.56/108.92 increasemaxweight = 1
% 108.56/108.92
% 108.56/108.92 maxselected = 10000000
% 108.56/108.92 maxnrclauses = 10000000
% 108.56/108.92
% 108.56/108.92 showgenerated = 0
% 108.56/108.92 showkept = 0
% 108.56/108.92 showselected = 0
% 108.56/108.92 showdeleted = 0
% 108.56/108.92 showresimp = 1
% 108.56/108.92 showstatus = 2000
% 108.56/108.92
% 108.56/108.92 prologoutput = 1
% 108.56/108.92 nrgoals = 5000000
% 108.56/108.92 totalproof = 1
% 108.56/108.92
% 108.56/108.92 Symbols occurring in the translation:
% 108.56/108.92
% 108.56/108.92 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 108.56/108.92 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 108.56/108.92 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 108.56/108.92 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 108.56/108.92 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 108.56/108.92 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 108.56/108.92 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 108.56/108.92 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 108.56/108.92 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 108.56/108.92 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 108.56/108.92 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Starting Search:
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 24315
% 108.56/108.92 Kept: 2009
% 108.56/108.92 Inuse: 194
% 108.56/108.92 Deleted: 12
% 108.56/108.92 Deletedinuse: 3
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 99660
% 108.56/108.92 Kept: 4027
% 108.56/108.92 Inuse: 421
% 108.56/108.92 Deleted: 28
% 108.56/108.92 Deletedinuse: 3
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 183208
% 108.56/108.92 Kept: 6036
% 108.56/108.92 Inuse: 623
% 108.56/108.92 Deleted: 72
% 108.56/108.92 Deletedinuse: 34
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 304087
% 108.56/108.92 Kept: 8037
% 108.56/108.92 Inuse: 781
% 108.56/108.92 Deleted: 107
% 108.56/108.92 Deletedinuse: 67
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 728983
% 108.56/108.92 Kept: 10040
% 108.56/108.92 Inuse: 1156
% 108.56/108.92 Deleted: 160
% 108.56/108.92 Deletedinuse: 67
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 1913774
% 108.56/108.92 Kept: 12043
% 108.56/108.92 Inuse: 1718
% 108.56/108.92 Deleted: 241
% 108.56/108.92 Deletedinuse: 67
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 2159622
% 108.56/108.92 Kept: 14149
% 108.56/108.92 Inuse: 1843
% 108.56/108.92 Deleted: 262
% 108.56/108.92 Deletedinuse: 68
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 2237366
% 108.56/108.92 Kept: 16229
% 108.56/108.92 Inuse: 1886
% 108.56/108.92 Deleted: 264
% 108.56/108.92 Deletedinuse: 68
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 2379844
% 108.56/108.92 Kept: 18242
% 108.56/108.92 Inuse: 1955
% 108.56/108.92 Deleted: 265
% 108.56/108.92 Deletedinuse: 68
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying clauses:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 2543892
% 108.56/108.92 Kept: 20244
% 108.56/108.92 Inuse: 2028
% 108.56/108.92 Deleted: 2074
% 108.56/108.92 Deletedinuse: 68
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 2856617
% 108.56/108.92 Kept: 22253
% 108.56/108.92 Inuse: 2162
% 108.56/108.92 Deleted: 2074
% 108.56/108.92 Deletedinuse: 68
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 3302433
% 108.56/108.92 Kept: 24271
% 108.56/108.92 Inuse: 2335
% 108.56/108.92 Deleted: 2074
% 108.56/108.92 Deletedinuse: 68
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 3956355
% 108.56/108.92 Kept: 26284
% 108.56/108.92 Inuse: 2577
% 108.56/108.92 Deleted: 2078
% 108.56/108.92 Deletedinuse: 68
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 4863686
% 108.56/108.92 Kept: 28290
% 108.56/108.92 Inuse: 2893
% 108.56/108.92 Deleted: 2078
% 108.56/108.92 Deletedinuse: 68
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 6716759
% 108.56/108.92 Kept: 30293
% 108.56/108.92 Inuse: 3341
% 108.56/108.92 Deleted: 2102
% 108.56/108.92 Deletedinuse: 68
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 9601491
% 108.56/108.92 Kept: 32293
% 108.56/108.92 Inuse: 3974
% 108.56/108.92 Deleted: 2166
% 108.56/108.92 Deletedinuse: 103
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 13953721
% 108.56/108.92 Kept: 34297
% 108.56/108.92 Inuse: 4900
% 108.56/108.92 Deleted: 2234
% 108.56/108.92 Deletedinuse: 103
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 18105236
% 108.56/108.92 Kept: 36301
% 108.56/108.92 Inuse: 5649
% 108.56/108.92 Deleted: 2301
% 108.56/108.92 Deletedinuse: 151
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 Intermediate Status:
% 108.56/108.92 Generated: 26277313
% 108.56/108.92 Kept: 38304
% 108.56/108.92 Inuse: 6701
% 108.56/108.92 Deleted: 2361
% 108.56/108.92 Deletedinuse: 182
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92 Done
% 108.56/108.92
% 108.56/108.92 Resimplifying inuse:
% 108.56/108.92
% 108.56/108.92 Bliksems!, er is een bewijs:
% 108.56/108.92 % SZS status Unsatisfiable
% 108.56/108.92 % SZS output start Refutation
% 108.56/108.92
% 108.56/108.92 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 108.56/108.92 , Z ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 108.56/108.92 X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 108.56/108.92 ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 108.56/108.92 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.92 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 108.56/108.92 ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 108.56/108.92 X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 108.56/108.92 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.92 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 108.56/108.92 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.56/108.92 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 15, [ =( inverse( identity ), identity ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 108.56/108.92 X, Y ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 18, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 108.56/108.92 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 108.56/108.92 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 108.56/108.92 ) ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.56/108.92 X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 108.56/108.92 X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 108.56/108.92 identity ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 108.56/108.92 ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 108.56/108.92 X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 108.56/108.92 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 28, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 108.56/108.92 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.56/108.92 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 108.56/108.92 X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 108.56/108.92 X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 108.56/108.92 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 108.56/108.92 'greatest_lower_bound'( Y, Z ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 108.56/108.92 X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.56/108.92 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.92 'greatest_lower_bound'( Y, Z ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 108.56/108.92 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 108.56/108.92 'least_upper_bound'( Y, Z ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 55, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.92 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.56/108.92 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 108.56/108.92 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.56/108.92 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 108.56/108.92 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 108.56/108.92 identity ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 68, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 108.56/108.92 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 108.56/108.92 ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 69, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 108.56/108.92 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 108.56/108.92 ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 108.56/108.92 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 108.56/108.92 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 108.56/108.92 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 108.56/108.92 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.92 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 85, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 108.56/108.92 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 108.56/108.92 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 108.56/108.92 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 108.56/108.92 'least_upper_bound'( identity, Y ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 108.56/108.92 'least_upper_bound'( Y, identity ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 108.56/108.92 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 108.56/108.92 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 155, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 108.56/108.92 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 108.56/108.92 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 108.56/108.92 ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 108.56/108.92 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 108.56/108.92 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 108.56/108.92 inverse( Y ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 108.56/108.92 Y ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 108.56/108.92 ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 108.56/108.92 ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 108.56/108.92 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 108.56/108.92 ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 196, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 108.56/108.92 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 108.56/108.92 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 108.56/108.92 ) ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 213, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 108.56/108.92 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 221, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 108.56/108.92 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 240, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 108.56/108.92 'least_upper_bound'( X, Y ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 247, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 108.56/108.92 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 405, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 108.56/108.92 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ), Y ),
% 108.56/108.92 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 434, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 108.56/108.92 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 532, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 108.56/108.92 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 534, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.56/108.92 identity, Y ), X ), X ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 537, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 108.56/108.92 X, identity ), Y ) ), Y ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 549, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 108.56/108.92 , identity ), Y ), Y ), Y ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 574, [ =( 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'(
% 108.56/108.92 X, identity ), Y ) ), Y ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 583, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.56/108.92 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 108.56/108.92 ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 590, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( Y
% 108.56/108.92 , identity ), X ), X ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 602, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.56/108.92 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.56/108.92 ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 616, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 108.56/108.92 identity, X ), Y ), Y ), Y ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 632, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 108.56/108.92 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 108.56/108.92 ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 975, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 108.56/108.92 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1009, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1011, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 108.56/108.92 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 108.56/108.92 )
% 108.56/108.92 .
% 108.56/108.92 clause( 1068, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.56/108.92 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1095, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.56/108.92 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1097, [ =( multiply( inverse( X ), 'least_upper_bound'( identity, X
% 108.56/108.92 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1101, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 108.56/108.92 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1132, [ =( multiply( inverse( X ), 'least_upper_bound'( X, identity
% 108.56/108.92 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1179, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 108.56/108.92 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1187, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 108.56/108.92 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1188, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.56/108.92 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1189, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 108.56/108.92 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1223, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 108.56/108.92 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1246, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 108.56/108.92 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1257, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 108.56/108.92 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1297, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 108.56/108.92 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1302, [ =( multiply( 'least_upper_bound'( X, identity ),
% 108.56/108.92 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 108.56/108.92 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1303, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 108.56/108.92 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1308, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.56/108.92 identity, X ) ), identity ), identity ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1309, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.56/108.92 identity ) ), identity ), identity ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1320, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 108.56/108.92 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 108.56/108.92 identity, Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1507, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 108.56/108.92 X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1516, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X )
% 108.56/108.92 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1524, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 108.56/108.92 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 108.56/108.92 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1543, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 108.56/108.92 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1636, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 108.56/108.92 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 108.56/108.92 ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 1706, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 108.56/108.92 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 108.56/108.92 ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 2152, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 108.56/108.92 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 2569, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 108.56/108.92 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 108.56/108.92 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 2859, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 108.56/108.92 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 108.56/108.92 identity ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 3200, [ =( 'greatest_lower_bound'( X, inverse(
% 108.56/108.92 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 3229, [ =( 'greatest_lower_bound'( X, inverse(
% 108.56/108.92 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 4731, [ =( 'greatest_lower_bound'( X, inverse(
% 108.56/108.92 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 4774, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.56/108.92 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 4859, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 108.56/108.92 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 108.56/108.92 ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 4860, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 108.56/108.92 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 5289, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 108.56/108.92 ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 5304, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.56/108.92 inverse( X ) ) ), X ), X ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 5316, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 108.56/108.92 , inverse( Y ) ) ) ), Y ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 5333, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 108.56/108.92 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 108.56/108.92 ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 5776, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 108.56/108.92 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 108.56/108.92 Y ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12249, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 108.56/108.92 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12266, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 108.56/108.92 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12271, [ =( inverse( 'least_upper_bound'( X, inverse(
% 108.56/108.92 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 108.56/108.92 , identity ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12281, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.56/108.92 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12285, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.56/108.92 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12305, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.56/108.92 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12319, [ =( 'least_upper_bound'( inverse( multiply(
% 108.56/108.92 'least_upper_bound'( X, identity ), X ) ), identity ),
% 108.56/108.92 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12467, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.56/108.92 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 108.56/108.92 identity ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12469, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 108.56/108.92 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 108.56/108.92 ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12494, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 108.56/108.92 inverse( X ), X ) ), identity ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 12539, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 108.56/108.92 , identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 20030, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 108.56/108.92 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse( X )
% 108.56/108.92 , X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 20036, [ =( multiply( 'least_upper_bound'( X, identity ),
% 108.56/108.92 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 108.56/108.92 inverse( X ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 38712, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.56/108.92 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.56/108.92 'greatest_lower_bound'( identity, X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 38731, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 108.56/108.92 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 38822, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.56/108.92 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 108.56/108.92 X ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 38825, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 108.56/108.92 ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 108.56/108.92 X ), X ) ) ] )
% 108.56/108.92 .
% 108.56/108.92 clause( 39726, [] )
% 108.56/108.92 .
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 % SZS output end Refutation
% 108.56/108.92 found a proof!
% 108.56/108.92
% 108.56/108.92 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 108.56/108.92
% 108.56/108.92 initialclauses(
% 108.56/108.92 [ clause( 39728, [ =( multiply( identity, X ), X ) ] )
% 108.56/108.92 , clause( 39729, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.56/108.92 , clause( 39730, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.56/108.92 multiply( Y, Z ) ) ) ] )
% 108.56/108.92 , clause( 39731, [ =( 'greatest_lower_bound'( X, Y ),
% 108.56/108.92 'greatest_lower_bound'( Y, X ) ) ] )
% 108.56/108.92 , clause( 39732, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 108.56/108.92 X ) ) ] )
% 108.56/108.92 , clause( 39733, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 108.56/108.92 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 108.56/108.92 )
% 108.56/108.92 , clause( 39734, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 108.56/108.92 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 , clause( 39735, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 108.56/108.92 , clause( 39736, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 108.56/108.92 , clause( 39737, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.56/108.92 ) ), X ) ] )
% 108.56/108.92 , clause( 39738, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.56/108.92 ) ), X ) ] )
% 108.56/108.92 , clause( 39739, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.92 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.92 , clause( 39740, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.92 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.92 , clause( 39741, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 108.56/108.92 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.56/108.92 , clause( 39742, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 108.56/108.92 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.56/108.92 , clause( 39743, [ =( inverse( identity ), identity ) ] )
% 108.56/108.92 , clause( 39744, [ =( inverse( inverse( X ) ), X ) ] )
% 108.56/108.92 , clause( 39745, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 108.56/108.92 inverse( X ) ) ) ] )
% 108.56/108.92 , clause( 39746, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 108.56/108.92 inverse( 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 108.56/108.92 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 108.56/108.92 ) ) ) ) ] )
% 108.56/108.92 ] ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.56/108.92 , clause( 39728, [ =( multiply( identity, X ), X ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.56/108.92 , clause( 39729, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39752, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 108.56/108.92 , Y ), Z ) ) ] )
% 108.56/108.92 , clause( 39730, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.56/108.92 multiply( Y, Z ) ) ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 108.56/108.92 , Z ) ) ] )
% 108.56/108.92 , clause( 39752, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 108.56/108.92 X, Y ), Z ) ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.92 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 108.56/108.92 X ) ) ] )
% 108.56/108.92 , clause( 39731, [ =( 'greatest_lower_bound'( X, Y ),
% 108.56/108.92 'greatest_lower_bound'( Y, X ) ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.92 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 108.56/108.92 ] )
% 108.56/108.92 , clause( 39732, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 108.56/108.92 X ) ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.92 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 108.56/108.92 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 , clause( 39733, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 108.56/108.92 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 108.56/108.92 )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.92 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.92 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 , clause( 39734, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 108.56/108.92 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.92 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 108.56/108.92 ) ] )
% 108.56/108.92 , clause( 39737, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.56/108.92 ) ), X ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.92 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 108.56/108.92 X ) ] )
% 108.56/108.92 , clause( 39738, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.56/108.92 ) ), X ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.92 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39794, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.92 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.92 , clause( 39739, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.92 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 108.56/108.92 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.92 , clause( 39794, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 108.56/108.92 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.92 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39805, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 108.56/108.92 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.56/108.92 , clause( 39740, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.92 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.92 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.56/108.92 , clause( 39805, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 108.56/108.92 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.92 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39817, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.56/108.92 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 , clause( 39741, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 108.56/108.92 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 108.56/108.92 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 , clause( 39817, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 108.56/108.92 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.92 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39830, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 108.56/108.92 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 , clause( 39742, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 108.56/108.92 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.56/108.92 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 , clause( 39830, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 108.56/108.92 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.92 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 15, [ =( inverse( identity ), identity ) ] )
% 108.56/108.92 , clause( 39743, [ =( inverse( identity ), identity ) ] )
% 108.56/108.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.56/108.92 , clause( 39744, [ =( inverse( inverse( X ) ), X ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39875, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 108.56/108.92 multiply( X, Y ) ) ) ] )
% 108.56/108.92 , clause( 39745, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 108.56/108.92 inverse( X ) ) ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 108.56/108.92 X, Y ) ) ) ] )
% 108.56/108.92 , clause( 39875, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 108.56/108.92 multiply( X, Y ) ) ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.92 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 18, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 108.56/108.92 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 108.56/108.92 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 108.56/108.92 ) ) ) ) ] )
% 108.56/108.92 , clause( 39746, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 108.56/108.92 inverse( 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 108.56/108.92 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 108.56/108.92 ) ) ) ) ] )
% 108.56/108.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39894, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 108.56/108.92 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 paramod(
% 108.56/108.92 clause( 39895, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 108.56/108.92 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.56/108.92 , 0, clause( 39894, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 108.56/108.92 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.56/108.92 X ) )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39896, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.56/108.92 , clause( 39895, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.56/108.92 , clause( 39896, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39897, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.56/108.92 ) ) ) ] )
% 108.56/108.92 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 108.56/108.92 , X ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 paramod(
% 108.56/108.92 clause( 39898, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 108.56/108.92 , X ) ) ] )
% 108.56/108.92 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 108.56/108.92 , X ) ) ] )
% 108.56/108.92 , 0, clause( 39897, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.56/108.92 X, Y ) ) ) ] )
% 108.56/108.92 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 108.56/108.92 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39901, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 108.56/108.92 ), X ) ] )
% 108.56/108.92 , clause( 39898, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 108.56/108.92 ), X ) ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.56/108.92 X ) ] )
% 108.56/108.92 , clause( 39901, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 108.56/108.92 X ), X ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.92 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39902, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.56/108.92 ) ) ) ] )
% 108.56/108.92 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 108.56/108.92 , X ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 paramod(
% 108.56/108.92 clause( 39903, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 108.56/108.92 ) ) ) ] )
% 108.56/108.92 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.56/108.92 ) ] )
% 108.56/108.92 , 0, clause( 39902, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.56/108.92 X, Y ) ) ) ] )
% 108.56/108.92 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.92 :=( X, X ), :=( Y, Y )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39906, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 108.56/108.92 ), X ) ] )
% 108.56/108.92 , clause( 39903, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 108.56/108.92 , X ) ) ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 subsumption(
% 108.56/108.92 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 108.56/108.92 X ) ] )
% 108.56/108.92 , clause( 39906, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 108.56/108.92 ) ), X ) ] )
% 108.56/108.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.92 )] ) ).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 eqswap(
% 108.56/108.92 clause( 39908, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 108.56/108.92 Y, Z ) ) ) ] )
% 108.56/108.92 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 108.56/108.92 ), Z ) ) ] )
% 108.56/108.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.92
% 108.56/108.92
% 108.56/108.92 paramod(
% 108.56/108.92 clause( 39911, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 108.56/108.92 , identity ) ) ] )
% 108.56/108.92 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.56/108.92 , 0, clause( 39908, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.56/108.92 multiply( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 108.56/108.93 identity ) ) ] )
% 108.56/108.93 , clause( 39911, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 108.56/108.93 X, identity ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39916, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 108.56/108.93 Y, Z ) ) ) ] )
% 108.56/108.93 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 108.56/108.93 ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39921, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.56/108.93 , 0, clause( 39916, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.56/108.93 multiply( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, identity ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 108.56/108.93 ] )
% 108.56/108.93 , clause( 39921, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 108.56/108.93 Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39926, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 108.56/108.93 , X ) ) ] )
% 108.56/108.93 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39927, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 108.56/108.93 , X ) ) ] )
% 108.56/108.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , 0, clause( 39926, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 108.56/108.93 , Y ), X ) ) ] )
% 108.56/108.93 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39930, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 108.56/108.93 ), X ) ] )
% 108.56/108.93 , clause( 39927, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 108.56/108.93 ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 108.56/108.93 X ) ] )
% 108.56/108.93 , clause( 39930, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 108.56/108.93 X ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39932, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39935, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 108.56/108.93 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 108.56/108.93 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, clause( 39932, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.56/108.93 Y, X ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39936, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 108.56/108.93 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 39935, [ =( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 108.56/108.93 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 39936, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 108.56/108.93 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39938, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39941, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Y ) ) ] )
% 108.56/108.93 , clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, clause( 39938, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.56/108.93 X, Y ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.56/108.93 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39942, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 39941, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Y ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 28, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 39942, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y )
% 108.56/108.93 , 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39944, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39947, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), X ) ) ] )
% 108.56/108.93 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, clause( 39944, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.56/108.93 X, Y ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39948, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 39947, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 39948, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 108.56/108.93 , 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39949, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39950, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 108.56/108.93 , X ) ) ] )
% 108.56/108.93 , 0, clause( 39949, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.56/108.93 X, Y ) ) ) ] )
% 108.56/108.93 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39953, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 108.56/108.93 ), X ) ] )
% 108.56/108.93 , clause( 39950, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 108.56/108.93 , X ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 108.56/108.93 X ) ] )
% 108.56/108.93 , clause( 39953, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 108.56/108.93 ) ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39954, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39955, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 108.56/108.93 , X ) ) ] )
% 108.56/108.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , 0, clause( 39954, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.56/108.93 X, Y ) ) ) ] )
% 108.56/108.93 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 108.56/108.93 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39958, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 108.56/108.93 ), X ) ] )
% 108.56/108.93 , clause( 39955, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 108.56/108.93 ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 108.56/108.93 X ) ] )
% 108.56/108.93 , clause( 39958, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 X ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39960, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39961, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 108.56/108.93 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 108.56/108.93 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 108.56/108.93 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 39960, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.56/108.93 Y, X ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 108.56/108.93 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39962, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 39961, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 108.56/108.93 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 108.56/108.93 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 108.56/108.93 'greatest_lower_bound'( Y, Z ) ) ] )
% 108.56/108.93 , clause( 39962, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39963, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39964, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 108.56/108.93 , X ) ) ] )
% 108.56/108.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , 0, clause( 39963, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.56/108.93 Y, X ) ) ) ] )
% 108.56/108.93 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 108.56/108.93 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39967, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 108.56/108.93 ), X ) ] )
% 108.56/108.93 , clause( 39964, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 108.56/108.93 ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 108.56/108.93 X ) ] )
% 108.56/108.93 , clause( 39967, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 108.56/108.93 X ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39969, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 108.56/108.93 , Y ) ) ] )
% 108.56/108.93 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39970, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 108.56/108.93 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 39969, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 108.56/108.93 , Y ), Y ) ) ] )
% 108.56/108.93 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 108.56/108.93 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39971, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.56/108.93 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 39970, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.56/108.93 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.93 'greatest_lower_bound'( Y, Z ) ) ] )
% 108.56/108.93 , clause( 39971, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.56/108.93 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39973, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39974, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 108.56/108.93 , X ), Y ) ) ) ] )
% 108.56/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 39973, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.56/108.93 Y, X ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 108.56/108.93 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39975, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 39974, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 108.56/108.93 , X ), Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 108.56/108.93 'least_upper_bound'( Y, Z ) ) ] )
% 108.56/108.93 , clause( 39975, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39977, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 108.56/108.93 , X ) ) ] )
% 108.56/108.93 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39978, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 108.56/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 39977, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 108.56/108.93 , Y ), X ) ) ] )
% 108.56/108.93 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39979, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 108.56/108.93 , clause( 39978, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 55, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 108.56/108.93 , clause( 39979, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39980, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.56/108.93 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 39983, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 108.56/108.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , 0, clause( 39980, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 108.56/108.93 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 108.56/108.93 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 108.56/108.93 , clause( 39983, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 108.56/108.93 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 39997, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.56/108.93 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40002, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.56/108.93 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.56/108.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , 0, clause( 39997, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 108.56/108.93 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40015, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 108.56/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 40002, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 108.56/108.93 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.56/108.93 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , clause( 40015, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 108.56/108.93 , 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40017, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.56/108.93 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40030, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 108.56/108.93 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X,
% 108.56/108.93 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , 0, clause( 40017, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 108.56/108.93 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40032, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 108.56/108.93 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 40030, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 108.56/108.93 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X,
% 108.56/108.93 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40033, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 40032, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 108.56/108.93 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , clause( 40033, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40037, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40040, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 108.56/108.93 identity ) ] )
% 108.56/108.93 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.56/108.93 , 0, clause( 40037, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 108.56/108.93 ), Y ) ) ] )
% 108.56/108.93 , 0, 7, substitution( 0, [ :=( X, multiply( X, identity ) )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, inverse( multiply( X, identity ) )
% 108.56/108.93 )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 108.56/108.93 identity ) ] )
% 108.56/108.93 , clause( 40040, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 108.56/108.93 identity ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40044, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.93 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40045, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 108.56/108.93 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 108.56/108.93 ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 40044, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z, T )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40047, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 108.56/108.93 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 40045, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 108.56/108.93 ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.56/108.93 T ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 68, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 108.56/108.93 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 40047, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z )
% 108.56/108.93 , multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 108.56/108.93 , T ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40050, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.93 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40052, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 108.56/108.93 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 108.56/108.93 ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 40050, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( Z, T ) )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40054, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 108.56/108.93 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 108.56/108.93 , T ) ) ) ) ] )
% 108.56/108.93 , clause( 40052, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T )
% 108.56/108.93 ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ),
% 108.56/108.93 T ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 69, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 108.56/108.93 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 108.56/108.93 ) ] )
% 108.56/108.93 , clause( 40054, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 108.56/108.93 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 108.56/108.93 , T ) ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40055, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.93 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40057, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , 0, clause( 40055, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40059, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 108.56/108.93 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.56/108.93 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.93 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, clause( 40057, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 108.56/108.93 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.56/108.93 , clause( 40059, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 108.56/108.93 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40061, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.93 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40063, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 108.56/108.93 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.56/108.93 , 0, clause( 40061, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 108.56/108.93 , clause( 40063, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) )
% 108.56/108.93 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40067, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.93 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40069, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 108.56/108.93 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 108.56/108.93 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.56/108.93 , 0, clause( 40067, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.56/108.93 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40072, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 108.56/108.93 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 40069, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 108.56/108.93 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 108.56/108.93 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 40072, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 108.56/108.93 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40075, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.93 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40078, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 108.56/108.93 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 108.56/108.93 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.56/108.93 , 0, clause( 40075, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.56/108.93 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40081, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 108.56/108.93 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , clause( 40078, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 108.56/108.93 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 108.56/108.93 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , clause( 40081, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 108.56/108.93 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40082, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 108.56/108.93 , clause( 55, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40084, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z,
% 108.56/108.93 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 108.56/108.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , 0, clause( 40082, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 108.56/108.93 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 108.56/108.93 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40090, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 108.56/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 40084, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z
% 108.56/108.93 , 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 108.56/108.93 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40091, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 108.56/108.93 , clause( 40090, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 108.56/108.93 , clause( 40091, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40093, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 108.56/108.93 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 108.56/108.93 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40095, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), Y ), 'greatest_lower_bound'( Y,
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 108.56/108.93 , clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 108.56/108.93 , 0, clause( 40093, [ =( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 108.56/108.93 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 108.56/108.93 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 108.56/108.93 ), Z ) ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40096, [ =( Y, 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 108.56/108.93 , clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 108.56/108.93 , 0, clause( 40095, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ), Y ), 'greatest_lower_bound'( Y,
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 108.56/108.93 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40098, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 108.56/108.93 , clause( 40096, [ =( Y, 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 85, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 108.56/108.93 , clause( 40098, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40101, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 108.56/108.93 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 108.56/108.93 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.56/108.93 , 0, clause( 40101, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 108.56/108.93 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 40102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y
% 108.56/108.93 ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40106, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.56/108.93 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40108, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.56/108.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , 0, clause( 40106, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40110, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 108.56/108.93 'least_upper_bound'( Y, X ), Z ) ) ] )
% 108.56/108.93 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.56/108.93 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 40108, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 108.56/108.93 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 108.56/108.93 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , clause( 40110, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 108.56/108.93 'least_upper_bound'( Y, X ), Z ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40112, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.56/108.93 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40113, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 108.56/108.93 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.56/108.93 , 0, clause( 40112, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 108.56/108.93 identity ), :=( Y, Y ), :=( Z, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40115, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.56/108.93 'least_upper_bound'( identity, X ), Y ) ) ] )
% 108.56/108.93 , clause( 40113, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 108.56/108.93 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 108.56/108.93 'least_upper_bound'( identity, Y ), X ) ) ] )
% 108.56/108.93 , clause( 40115, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.56/108.93 'least_upper_bound'( identity, X ), Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40118, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.56/108.93 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40120, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 108.56/108.93 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.56/108.93 , 0, clause( 40118, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, Y ), :=( Z, identity )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40122, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 108.56/108.93 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.56/108.93 , clause( 40120, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 108.56/108.93 'least_upper_bound'( Y, identity ), X ) ) ] )
% 108.56/108.93 , clause( 40122, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 108.56/108.93 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40124, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 108.56/108.93 inverse( Y ) ) ) ] )
% 108.56/108.93 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 108.56/108.93 , identity ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40127, [ =( multiply( X, identity ), multiply( identity, inverse(
% 108.56/108.93 inverse( X ) ) ) ) ] )
% 108.56/108.93 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.56/108.93 , 0, clause( 40124, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 108.56/108.93 ), inverse( Y ) ) ) ] )
% 108.56/108.93 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, inverse( X ) )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40128, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 108.56/108.93 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.56/108.93 , 0, clause( 40127, [ =( multiply( X, identity ), multiply( identity,
% 108.56/108.93 inverse( inverse( X ) ) ) ) ] )
% 108.56/108.93 , 0, 4, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40129, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.56/108.93 , 0, clause( 40128, [ =( multiply( X, identity ), inverse( inverse( X ) ) )
% 108.56/108.93 ] )
% 108.56/108.93 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , clause( 40129, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40132, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 108.56/108.93 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40134, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 108.56/108.93 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , 0, clause( 40132, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, Y ), :=( Z, identity )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40136, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 108.56/108.93 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.56/108.93 , clause( 40134, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 108.56/108.93 , 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 108.56/108.93 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.56/108.93 , clause( 40136, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 108.56/108.93 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40138, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.93 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40139, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.56/108.93 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , 0, clause( 40138, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, identity ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40141, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.56/108.93 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.56/108.93 , clause( 40139, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.56/108.93 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 108.56/108.93 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.56/108.93 , clause( 40141, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 108.56/108.93 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40144, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.56/108.93 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40146, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.56/108.93 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , 0, clause( 40144, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, Y ), :=( Z, identity )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40148, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 108.56/108.93 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.56/108.93 , clause( 40146, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 155, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 108.56/108.93 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.56/108.93 , clause( 40148, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 108.56/108.93 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 108.56/108.93 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40152, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 108.56/108.93 , inverse( Y ) ), 'greatest_lower_bound'( multiply( X, identity ),
% 108.56/108.93 multiply( Z, inverse( Y ) ) ) ) ] )
% 108.56/108.93 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 108.56/108.93 , identity ) ) ] )
% 108.56/108.93 , 0, clause( 40150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.56/108.93 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 108.56/108.93 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , 0, clause( 40152, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y )
% 108.56/108.93 , Z ), inverse( Y ) ), 'greatest_lower_bound'( multiply( X, identity ),
% 108.56/108.93 multiply( Z, inverse( Y ) ) ) ) ] )
% 108.56/108.93 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 108.56/108.93 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 108.56/108.93 ) ] )
% 108.56/108.93 , clause( 40156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 108.56/108.93 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40158, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 108.56/108.93 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40160, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.56/108.93 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 108.56/108.93 , X ) ) ] )
% 108.56/108.93 , 0, clause( 40158, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40162, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 108.56/108.93 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 108.56/108.93 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 108.56/108.93 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, clause( 40160, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 108.56/108.93 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 108.56/108.93 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , clause( 40162, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 108.56/108.93 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40164, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 108.56/108.93 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40165, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 108.56/108.93 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.56/108.93 , 0, clause( 40164, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 108.56/108.93 identity ), :=( Y, Y ), :=( Z, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40167, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 108.56/108.93 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 108.56/108.93 , clause( 40165, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 108.56/108.93 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 108.56/108.93 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 108.56/108.93 , clause( 40167, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 108.56/108.93 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40170, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 108.56/108.93 inverse( Y ) ) ) ] )
% 108.56/108.93 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 108.56/108.93 multiply( X, Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40171, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 108.56/108.93 inverse( X ) ) ) ] )
% 108.56/108.93 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.56/108.93 , 0, clause( 40170, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 108.56/108.93 ), inverse( Y ) ) ) ] )
% 108.56/108.93 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 108.56/108.93 Y ) ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 108.56/108.93 inverse( Y ) ) ) ] )
% 108.56/108.93 , clause( 40171, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 108.56/108.93 inverse( X ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40176, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 108.56/108.93 inverse( Y ) ) ) ] )
% 108.56/108.93 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 108.56/108.93 multiply( X, Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40178, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 108.56/108.93 inverse( Y ), X ) ) ] )
% 108.56/108.93 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.56/108.93 , 0, clause( 40176, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 108.56/108.93 ), inverse( Y ) ) ) ] )
% 108.56/108.93 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 108.56/108.93 :=( Y, inverse( X ) )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 108.56/108.93 Y ), X ) ) ] )
% 108.56/108.93 , clause( 40178, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 108.56/108.93 inverse( Y ), X ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40182, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 108.56/108.93 inverse( Y ) ) ) ) ] )
% 108.56/108.93 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 108.56/108.93 inverse( Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40188, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 108.56/108.93 multiply( Y, identity ) ) ) ] )
% 108.56/108.93 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 108.56/108.93 , identity ) ) ] )
% 108.56/108.93 , 0, clause( 40182, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X
% 108.56/108.93 , inverse( Y ) ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40189, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse( Y
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , 0, clause( 40188, [ =( multiply( X, inverse( multiply( Y, X ) ) ),
% 108.56/108.93 inverse( multiply( Y, identity ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.56/108.93 :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , clause( 40189, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 108.56/108.93 Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40191, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40196, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 108.56/108.93 inverse( inverse( Y ) ) ) ) ] )
% 108.56/108.93 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , 0, clause( 40191, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 108.56/108.93 ) ) ) ) ] )
% 108.56/108.93 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.56/108.93 :=( X, inverse( multiply( Y, X ) ) ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40197, [ =( inverse( X ), inverse( multiply( inverse( Y ), multiply(
% 108.56/108.93 Y, X ) ) ) ) ] )
% 108.56/108.93 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 108.56/108.93 multiply( X, Y ) ) ) ] )
% 108.56/108.93 , 0, clause( 40196, [ =( inverse( X ), multiply( inverse( multiply( Y, X )
% 108.56/108.93 ), inverse( inverse( Y ) ) ) ) ] )
% 108.56/108.93 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( Y, X ) )] )
% 108.56/108.93 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40198, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 108.56/108.93 inverse( Y ), X ) ) ] )
% 108.56/108.93 , 0, clause( 40197, [ =( inverse( X ), inverse( multiply( inverse( Y ),
% 108.56/108.93 multiply( Y, X ) ) ) ) ] )
% 108.56/108.93 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, X ) )] ),
% 108.56/108.93 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40199, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 40198, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 108.56/108.93 Y ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 108.56/108.93 ) ] )
% 108.56/108.93 , clause( 40199, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse(
% 108.56/108.93 X ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40201, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 108.56/108.93 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40203, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 108.56/108.93 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 108.56/108.93 Z ) ) ) ] )
% 108.56/108.93 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , 0, clause( 40201, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.56/108.93 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.56/108.93 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Z, X ) ) )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 108.56/108.93 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 108.56/108.93 ] )
% 108.56/108.93 , clause( 40203, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 108.56/108.93 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 108.56/108.93 Z ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40206, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 108.56/108.93 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 108.56/108.93 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'( a,
% 108.56/108.93 identity ) ) ) ) ) ] )
% 108.56/108.93 , clause( 18, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 108.56/108.93 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 108.56/108.93 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 108.56/108.93 ) ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40208, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 108.56/108.93 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 108.56/108.93 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 108.56/108.93 identity, a ) ) ) ) ) ] )
% 108.56/108.93 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 108.56/108.93 , X ) ) ] )
% 108.56/108.93 , 0, clause( 40206, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 108.56/108.93 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 108.56/108.93 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'( a,
% 108.56/108.93 identity ) ) ) ) ) ] )
% 108.56/108.93 , 0, 15, substitution( 0, [ :=( X, a ), :=( Y, identity )] ),
% 108.56/108.93 substitution( 1, [] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40209, [ ~( =( multiply( inverse( 'greatest_lower_bound'( identity
% 108.56/108.93 , a ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 108.56/108.93 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 108.56/108.93 identity, a ) ) ) ) ) ] )
% 108.56/108.93 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 108.56/108.93 , X ) ) ] )
% 108.56/108.93 , 0, clause( 40208, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 108.56/108.93 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 108.56/108.93 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 108.56/108.93 identity, a ) ) ) ) ) ] )
% 108.56/108.93 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 108.56/108.93 1, [] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40212, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 108.56/108.93 inverse( 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 108.56/108.93 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 108.56/108.93 ) ) ) ) ] )
% 108.56/108.93 , clause( 40209, [ ~( =( multiply( inverse( 'greatest_lower_bound'(
% 108.56/108.93 identity, a ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 108.56/108.93 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 108.56/108.93 identity, a ) ) ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 196, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 108.56/108.93 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 108.56/108.93 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 108.56/108.93 ) ) ) ) ] )
% 108.56/108.93 , clause( 40212, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 108.56/108.93 inverse( 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 108.56/108.93 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 108.56/108.93 ) ) ) ) ] )
% 108.56/108.93 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40215, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40218, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 108.56/108.93 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 108.56/108.93 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 108.56/108.93 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , 0, clause( 40215, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 108.56/108.93 ) ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.56/108.93 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40221, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 108.56/108.93 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , 0, clause( 40218, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.56/108.93 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 108.56/108.93 ] )
% 108.56/108.93 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 108.56/108.93 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 213, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 40221, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 108.56/108.93 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40222, [ =( identity, multiply( X, inverse( multiply( X, identity )
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 108.56/108.93 identity ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40224, [ =( identity, multiply( 'greatest_lower_bound'( Y, X ),
% 108.56/108.93 inverse( multiply( 'greatest_lower_bound'( X, Y ), identity ) ) ) ) ] )
% 108.56/108.93 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 108.56/108.93 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , 0, clause( 40222, [ =( identity, multiply( X, inverse( multiply( X,
% 108.56/108.93 identity ) ) ) ) ] )
% 108.56/108.93 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply(
% 108.56/108.93 'greatest_lower_bound'( X, Y ), identity ) ) ), :=( Z, Y )] ),
% 108.56/108.93 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40226, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 108.56/108.93 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , 0, clause( 40224, [ =( identity, multiply( 'greatest_lower_bound'( Y, X )
% 108.56/108.93 , inverse( multiply( 'greatest_lower_bound'( X, Y ), identity ) ) ) ) ]
% 108.56/108.93 )
% 108.56/108.93 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) )] ),
% 108.56/108.93 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40227, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 108.56/108.93 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 108.56/108.93 , clause( 40226, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 221, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 108.56/108.93 , clause( 40227, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 108.56/108.93 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40228, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40231, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 108.56/108.93 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 108.56/108.93 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 108.56/108.93 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , 0, clause( 40228, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 108.56/108.93 ) ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.56/108.93 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40234, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 108.56/108.93 'least_upper_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , 0, clause( 40231, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 108.56/108.93 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 108.56/108.93 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 108.56/108.93 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 240, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 40234, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 108.56/108.93 'least_upper_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40235, [ =( identity, multiply( X, inverse( multiply( X, identity )
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 108.56/108.93 identity ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40237, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 108.56/108.93 inverse( multiply( 'least_upper_bound'( X, Y ), identity ) ) ) ) ] )
% 108.56/108.93 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 108.56/108.93 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , 0, clause( 40235, [ =( identity, multiply( X, inverse( multiply( X,
% 108.56/108.93 identity ) ) ) ) ] )
% 108.56/108.93 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply(
% 108.56/108.93 'least_upper_bound'( X, Y ), identity ) ) ), :=( Z, Y )] ),
% 108.56/108.93 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40239, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 108.56/108.93 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 108.56/108.93 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , 0, clause( 40237, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 108.56/108.93 inverse( multiply( 'least_upper_bound'( X, Y ), identity ) ) ) ) ] )
% 108.56/108.93 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) )] ),
% 108.56/108.93 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40240, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 108.56/108.93 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 108.56/108.93 , clause( 40239, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 108.56/108.93 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 247, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 108.56/108.93 , clause( 40240, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 108.56/108.93 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40241, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40242, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, 'greatest_lower_bound'( Z, 'least_upper_bound'( X
% 108.56/108.93 , Y ) ) ), Y ) ) ] )
% 108.56/108.93 , clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , 0, clause( 40241, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.56/108.93 Y, X ) ) ) ] )
% 108.56/108.93 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( Z,
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ), :=( Y, Y ), :=( Z, X )] ),
% 108.56/108.93 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40245, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 108.56/108.93 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ), Y ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 40242, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, 'greatest_lower_bound'( Z, 'least_upper_bound'( X
% 108.56/108.93 , Y ) ) ), Y ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 405, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 108.56/108.93 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ), Y ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 40245, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 108.56/108.93 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ), Y ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40247, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 108.56/108.93 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 108.56/108.93 , clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 108.56/108.93 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 108.56/108.93 'greatest_lower_bound'( Y, Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40250, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , 0, clause( 40247, [ =( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40256, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 40250, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 434, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 108.56/108.93 , clause( 40256, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40259, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 108.56/108.93 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 108.56/108.93 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 108.56/108.93 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40293, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.56/108.93 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 108.56/108.93 multiply( X, identity ) ), identity ) ) ] )
% 108.56/108.93 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 108.56/108.93 identity ) ] )
% 108.56/108.93 , 0, clause( 40259, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 108.56/108.93 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 108.56/108.93 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.56/108.93 inverse( multiply( X, identity ) ) ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40295, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.56/108.93 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 108.56/108.93 ), identity ) ) ] )
% 108.56/108.93 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , 0, clause( 40293, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.56/108.93 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 108.56/108.93 multiply( X, identity ) ), identity ) ) ] )
% 108.56/108.93 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40296, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.56/108.93 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 108.56/108.93 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , 0, clause( 40295, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.56/108.93 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 108.56/108.93 ), identity ) ) ] )
% 108.56/108.93 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 532, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 108.56/108.93 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 108.56/108.93 , clause( 40296, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.56/108.93 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40301, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 108.56/108.93 , X ) ) ] )
% 108.56/108.93 , clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40302, [ =( X, 'least_upper_bound'( multiply(
% 108.56/108.93 'greatest_lower_bound'( identity, Y ), X ), X ) ) ] )
% 108.56/108.93 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 108.56/108.93 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 108.56/108.93 , 0, clause( 40301, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 108.56/108.93 , Y ), X ) ) ] )
% 108.56/108.93 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40303, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.56/108.93 identity, Y ), X ), X ), X ) ] )
% 108.56/108.93 , clause( 40302, [ =( X, 'least_upper_bound'( multiply(
% 108.56/108.93 'greatest_lower_bound'( identity, Y ), X ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 534, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.56/108.93 identity, Y ), X ), X ), X ) ] )
% 108.56/108.93 , clause( 40303, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.56/108.93 identity, Y ), X ), X ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40305, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 108.56/108.93 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 108.56/108.93 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 108.56/108.93 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40307, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y,
% 108.56/108.93 multiply( 'least_upper_bound'( X, identity ), Y ) ) ) ] )
% 108.56/108.93 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, clause( 40305, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 108.56/108.93 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 108.56/108.93 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 108.56/108.93 1, [ :=( X, Y ), :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40308, [ =( X, 'greatest_lower_bound'( X, multiply(
% 108.56/108.93 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 108.56/108.93 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.56/108.93 , 0, clause( 40307, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y
% 108.56/108.93 , multiply( 'least_upper_bound'( X, identity ), Y ) ) ) ] )
% 108.56/108.93 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 108.56/108.93 :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40309, [ =( 'greatest_lower_bound'( X, multiply(
% 108.56/108.93 'least_upper_bound'( Y, identity ), X ) ), X ) ] )
% 108.56/108.93 , clause( 40308, [ =( X, 'greatest_lower_bound'( X, multiply(
% 108.56/108.93 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 537, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 108.56/108.93 X, identity ), Y ) ), Y ) ] )
% 108.56/108.93 , clause( 40309, [ =( 'greatest_lower_bound'( X, multiply(
% 108.56/108.93 'least_upper_bound'( Y, identity ), X ) ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40310, [ =( Y, 'least_upper_bound'( multiply(
% 108.56/108.93 'greatest_lower_bound'( identity, X ), Y ), Y ) ) ] )
% 108.56/108.93 , clause( 534, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.56/108.93 identity, Y ), X ), X ), X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40311, [ =( X, 'least_upper_bound'( multiply(
% 108.56/108.93 'greatest_lower_bound'( Y, identity ), X ), X ) ) ] )
% 108.56/108.93 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 108.56/108.93 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , 0, clause( 40310, [ =( Y, 'least_upper_bound'( multiply(
% 108.56/108.93 'greatest_lower_bound'( identity, X ), Y ), Y ) ) ] )
% 108.56/108.93 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y )] ),
% 108.56/108.93 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40314, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.56/108.93 Y, identity ), X ), X ), X ) ] )
% 108.56/108.93 , clause( 40311, [ =( X, 'least_upper_bound'( multiply(
% 108.56/108.93 'greatest_lower_bound'( Y, identity ), X ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 549, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 108.56/108.93 , identity ), Y ), Y ), Y ) ] )
% 108.56/108.93 , clause( 40314, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.56/108.93 Y, identity ), X ), X ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40316, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), X ) ) ] )
% 108.56/108.93 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40318, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.56/108.93 X, identity ), Y ), Y ), 'least_upper_bound'( Y, multiply(
% 108.56/108.93 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 108.56/108.93 , clause( 549, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.56/108.93 X, identity ), Y ), Y ), Y ) ] )
% 108.56/108.93 , 0, clause( 40316, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), X ) ) ] )
% 108.56/108.93 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, multiply( 'greatest_lower_bound'( X, identity ), Y ) ), :=( Y, Y )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40319, [ =( Y, 'least_upper_bound'( Y, multiply(
% 108.56/108.93 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 108.56/108.93 , clause( 549, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.56/108.93 X, identity ), Y ), Y ), Y ) ] )
% 108.56/108.93 , 0, clause( 40318, [ =( 'least_upper_bound'( multiply(
% 108.56/108.93 'greatest_lower_bound'( X, identity ), Y ), Y ), 'least_upper_bound'( Y,
% 108.56/108.93 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 108.56/108.93 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40321, [ =( 'least_upper_bound'( X, multiply(
% 108.56/108.93 'greatest_lower_bound'( Y, identity ), X ) ), X ) ] )
% 108.56/108.93 , clause( 40319, [ =( Y, 'least_upper_bound'( Y, multiply(
% 108.56/108.93 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 574, [ =( 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'(
% 108.56/108.93 X, identity ), Y ) ), Y ) ] )
% 108.56/108.93 , clause( 40321, [ =( 'least_upper_bound'( X, multiply(
% 108.56/108.93 'greatest_lower_bound'( Y, identity ), X ) ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40324, [ =( X, 'least_upper_bound'( X, multiply(
% 108.56/108.93 'greatest_lower_bound'( Y, identity ), X ) ) ) ] )
% 108.56/108.93 , clause( 574, [ =( 'least_upper_bound'( Y, multiply(
% 108.56/108.93 'greatest_lower_bound'( X, identity ), Y ) ), Y ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40325, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.56/108.93 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.56/108.93 identity ) ) ] )
% 108.56/108.93 , clause( 221, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 108.56/108.93 , 0, clause( 40324, [ =( X, 'least_upper_bound'( X, multiply(
% 108.56/108.93 'greatest_lower_bound'( Y, identity ), X ) ) ) ] )
% 108.56/108.93 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 108.56/108.93 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 108.56/108.93 ) ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40326, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.56/108.93 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 40325, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.56/108.93 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.56/108.93 identity ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 583, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.56/108.93 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 40326, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.56/108.93 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40328, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , clause( 434, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 108.56/108.93 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40332, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 X, identity ), Y ), Y ), 'least_upper_bound'( 'greatest_lower_bound'(
% 108.56/108.93 multiply( 'least_upper_bound'( X, identity ), Y ), Y ), Y ) ) ] )
% 108.56/108.93 , clause( 537, [ =( 'greatest_lower_bound'( Y, multiply(
% 108.56/108.93 'least_upper_bound'( X, identity ), Y ) ), Y ) ] )
% 108.56/108.93 , 0, clause( 40328, [ =( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 108.56/108.93 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, multiply( 'least_upper_bound'( X, identity ), Y ) ), :=( Y, Y )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40334, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 X, identity ), Y ), Y ), Y ) ] )
% 108.56/108.93 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, clause( 40332, [ =( 'greatest_lower_bound'( multiply(
% 108.56/108.93 'least_upper_bound'( X, identity ), Y ), Y ), 'least_upper_bound'(
% 108.56/108.93 'greatest_lower_bound'( multiply( 'least_upper_bound'( X, identity ), Y )
% 108.56/108.93 , Y ), Y ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, multiply( 'least_upper_bound'(
% 108.56/108.93 X, identity ), Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 590, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( Y
% 108.56/108.93 , identity ), X ), X ), X ) ] )
% 108.56/108.93 , clause( 40334, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 X, identity ), Y ), Y ), Y ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40337, [ =( X, 'greatest_lower_bound'( X, multiply(
% 108.56/108.93 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 108.56/108.93 , clause( 537, [ =( 'greatest_lower_bound'( Y, multiply(
% 108.56/108.93 'least_upper_bound'( X, identity ), Y ) ), Y ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40338, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 108.56/108.93 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 108.56/108.93 identity ) ) ] )
% 108.56/108.93 , clause( 247, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 108.56/108.93 , 0, clause( 40337, [ =( X, 'greatest_lower_bound'( X, multiply(
% 108.56/108.93 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 108.56/108.93 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 108.56/108.93 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 108.56/108.93 , :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40339, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.56/108.93 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 40338, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 108.56/108.93 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 108.56/108.93 identity ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 602, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.56/108.93 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 40339, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.56/108.93 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40340, [ =( Y, 'greatest_lower_bound'( multiply(
% 108.56/108.93 'least_upper_bound'( X, identity ), Y ), Y ) ) ] )
% 108.56/108.93 , clause( 590, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 Y, identity ), X ), X ), X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40341, [ =( X, 'greatest_lower_bound'( multiply(
% 108.56/108.93 'least_upper_bound'( identity, Y ), X ), X ) ) ] )
% 108.56/108.93 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 108.56/108.93 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.56/108.93 , 0, clause( 40340, [ =( Y, 'greatest_lower_bound'( multiply(
% 108.56/108.93 'least_upper_bound'( X, identity ), Y ), Y ) ) ] )
% 108.56/108.93 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 108.56/108.93 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40344, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 identity, Y ), X ), X ), X ) ] )
% 108.56/108.93 , clause( 40341, [ =( X, 'greatest_lower_bound'( multiply(
% 108.56/108.93 'least_upper_bound'( identity, Y ), X ), X ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 616, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 identity, X ), Y ), Y ), Y ) ] )
% 108.56/108.93 , clause( 40344, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 identity, Y ), X ), X ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40346, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.56/108.93 ) ) ) ] )
% 108.56/108.93 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.56/108.93 , X ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40349, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), Y ), Y
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 616, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 identity, X ), Y ), Y ), Y ) ] )
% 108.56/108.93 , 0, clause( 40346, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.56/108.93 X, Y ) ) ) ] )
% 108.56/108.93 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, multiply( 'least_upper_bound'( identity, X ), Y ) ), :=( Y, Y )] )
% 108.56/108.93 ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40350, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 40349, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), Y ), Y
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 632, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , clause( 40350, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 108.56/108.93 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 108.56/108.93 ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40352, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 108.56/108.93 , X ), Y ) ) ) ] )
% 108.56/108.93 , clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 108.56/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 108.56/108.93 'least_upper_bound'( Y, Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40355, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , 0, clause( 40352, [ =( 'least_upper_bound'( X, Y ),
% 108.56/108.93 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.56/108.93 'least_upper_bound'( Z, X ), Y ) ) ) ] )
% 108.56/108.93 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40361, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 108.56/108.93 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , clause( 40355, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 108.56/108.93 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 975, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 108.56/108.93 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 108.56/108.93 , clause( 40361, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 108.56/108.93 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40365, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 108.56/108.93 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.56/108.93 , 0, clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply(
% 108.56/108.93 Y, identity ) ) ] )
% 108.56/108.93 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 108.56/108.93 :=( Y, X )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 1009, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.56/108.93 , clause( 40365, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.56/108.93 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40368, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.56/108.93 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40370, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 108.56/108.93 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 108.56/108.93 )
% 108.56/108.93 , clause( 1009, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.56/108.93 , 0, clause( 40368, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.56/108.93 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.56/108.93 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 1011, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 108.56/108.93 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 108.56/108.93 )
% 108.56/108.93 , clause( 40370, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 108.56/108.93 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 108.56/108.93 ] )
% 108.56/108.93 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 108.56/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 eqswap(
% 108.56/108.93 clause( 40373, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.56/108.93 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.56/108.93 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.56/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 paramod(
% 108.56/108.93 clause( 40374, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.56/108.93 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.56/108.93 , clause( 40373, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.56/108.93 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.56/108.93 , 0, clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 108.56/108.93 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.56/108.93 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.56/108.93 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 108.56/108.93
% 108.56/108.93
% 108.56/108.93 subsumption(
% 108.56/108.93 clause( 1068, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.56/108.93 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.58/108.93 , clause( 40374, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 108.58/108.93 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.93 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40376, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.58/108.93 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.58/108.93 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40378, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.58/108.93 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.58/108.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.58/108.93 ) ] )
% 108.58/108.93 , 0, clause( 40376, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 108.58/108.93 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 108.58/108.93 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1095, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.58/108.93 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.58/108.93 , clause( 40378, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.58/108.93 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.93 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40386, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.58/108.93 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.58/108.93 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40390, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 108.58/108.93 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.58/108.93 , 0, clause( 40386, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 108.58/108.93 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.93 inverse( X ) ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1097, [ =( multiply( inverse( X ), 'least_upper_bound'( identity, X
% 108.58/108.93 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , clause( 40390, [ =( multiply( inverse( X ), 'least_upper_bound'( identity
% 108.58/108.93 , X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40393, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 108.58/108.93 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , clause( 1068, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 108.58/108.93 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40394, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 108.58/108.93 , clause( 1009, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40395, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 108.58/108.93 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.58/108.93 , clause( 40393, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 108.58/108.93 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , 0, clause( 40394, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 108.58/108.93 )
% 108.58/108.93 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.58/108.93 :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40396, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 108.58/108.93 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 108.58/108.93 , clause( 40395, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y )
% 108.58/108.93 ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1101, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 108.58/108.93 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 108.58/108.93 , clause( 40396, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 108.58/108.93 , inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.93 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40398, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 108.58/108.93 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , clause( 1068, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 108.58/108.93 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40402, [ =( multiply( inverse( X ), 'least_upper_bound'( X,
% 108.58/108.93 identity ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.58/108.93 , 0, clause( 40398, [ =( multiply( X, 'least_upper_bound'( Y, identity ) )
% 108.58/108.93 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.93 inverse( X ) ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1132, [ =( multiply( inverse( X ), 'least_upper_bound'( X, identity
% 108.58/108.93 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , clause( 40402, [ =( multiply( inverse( X ), 'least_upper_bound'( X,
% 108.58/108.93 identity ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40406, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 108.58/108.93 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 108.58/108.93 , clause( 155, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 108.58/108.93 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.58/108.93 , 0, clause( 240, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 108.58/108.93 'least_upper_bound'( X, Y ) ) ) ] )
% 108.58/108.93 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.58/108.93 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1179, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 108.58/108.93 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 108.58/108.93 , clause( 40406, [ =( inverse( multiply( X, 'least_upper_bound'( Y,
% 108.58/108.93 identity ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ]
% 108.58/108.93 )
% 108.58/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.93 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40408, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 108.58/108.93 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.58/108.93 , clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 108.58/108.93 'least_upper_bound'( identity, Y ), X ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40429, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 108.58/108.93 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 108.58/108.93 , clause( 1068, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 108.58/108.93 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.58/108.93 , 0, clause( 40408, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 108.58/108.93 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.58/108.93 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.93 :=( X, X ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40431, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 108.58/108.93 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 108.58/108.93 , clause( 40429, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 108.58/108.93 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1187, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 108.58/108.93 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 108.58/108.93 , clause( 40431, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 108.58/108.93 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40433, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 108.58/108.93 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.58/108.93 , clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 108.58/108.93 'least_upper_bound'( identity, Y ), X ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40446, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 108.58/108.93 identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply( identity,
% 108.58/108.93 X ), Y ) ) ) ] )
% 108.58/108.93 , clause( 1068, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 108.58/108.93 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.58/108.93 , 0, clause( 40433, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 108.58/108.93 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.58/108.93 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 108.58/108.93 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40449, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 108.58/108.93 identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.58/108.93 , 0, clause( 40446, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 108.58/108.93 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply(
% 108.58/108.93 identity, X ), Y ) ) ) ] )
% 108.58/108.93 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.93 :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40451, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.58/108.93 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.58/108.93 , 0, clause( 40449, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 108.58/108.93 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 108.58/108.93 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40452, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.58/108.93 , clause( 40451, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.58/108.93 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1188, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.58/108.93 , clause( 40452, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.93 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40453, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 108.58/108.93 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.58/108.93 , clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 108.58/108.93 'least_upper_bound'( identity, Y ), X ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40474, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 108.58/108.93 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 108.58/108.93 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.58/108.93 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.58/108.93 , 0, clause( 40453, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 108.58/108.93 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.58/108.93 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.93 :=( X, X ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40476, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 108.58/108.93 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 108.58/108.93 , clause( 40474, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 108.58/108.93 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1189, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 108.58/108.93 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 108.58/108.93 , clause( 40476, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 108.58/108.93 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40477, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 108.58/108.93 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.58/108.93 , clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 108.58/108.93 'least_upper_bound'( identity, Y ), X ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40479, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 108.58/108.93 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 108.58/108.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.58/108.93 ) ] )
% 108.58/108.93 , 0, clause( 40477, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 108.58/108.93 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.58/108.93 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 108.58/108.93 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1223, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 108.58/108.93 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 108.58/108.93 , clause( 40479, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 108.58/108.93 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.93 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40487, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ),
% 108.58/108.93 X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 108.58/108.93 , clause( 1188, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.58/108.93 , 0, clause( 240, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 108.58/108.93 'least_upper_bound'( X, Y ) ) ) ] )
% 108.58/108.93 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.93 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1246, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 108.58/108.93 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 108.58/108.93 , clause( 40487, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 108.58/108.93 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.93 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40490, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 108.58/108.93 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.58/108.93 , clause( 1188, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40494, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.58/108.93 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.58/108.93 , 0, clause( 40490, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 108.58/108.93 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.58/108.93 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.93 inverse( X ) ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1257, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 108.58/108.93 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , clause( 40494, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.58/108.93 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40497, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.58/108.93 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 108.58/108.93 , clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 108.58/108.93 'least_upper_bound'( Y, identity ), X ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40498, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 108.58/108.93 ) ) ] )
% 108.58/108.93 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 108.58/108.93 ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40499, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 108.58/108.93 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.58/108.93 , clause( 40497, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.58/108.93 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 108.58/108.93 , 0, clause( 40498, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 108.58/108.93 ), X ) ) ] )
% 108.58/108.93 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.93 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40500, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 108.58/108.93 ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 108.58/108.93 , clause( 40499, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 108.58/108.93 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1297, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 108.58/108.93 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 108.58/108.93 , clause( 40500, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 108.58/108.93 X ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.93 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40502, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 108.58/108.93 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.58/108.93 , clause( 1095, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.58/108.93 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40506, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 108.58/108.93 , identity ), 'least_upper_bound'( X, identity ) ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 108.58/108.93 inverse( X ) ) ) ) ] )
% 108.58/108.93 , clause( 1257, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.58/108.93 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , 0, clause( 40502, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 108.58/108.93 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.58/108.93 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.93 'least_upper_bound'( X, identity ) ), :=( Y, inverse( X ) )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40507, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.58/108.93 'least_upper_bound'( inverse( X ), identity ), X ), identity ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 108.58/108.93 inverse( X ) ) ) ) ] )
% 108.58/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.58/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.58/108.93 , 0, clause( 40506, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 108.58/108.93 X ), identity ), 'least_upper_bound'( X, identity ) ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 108.58/108.93 inverse( X ) ) ) ) ] )
% 108.58/108.93 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( X ),
% 108.58/108.93 identity ) ), :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X
% 108.58/108.93 , X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40508, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 108.58/108.93 , identity ), X ), multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.93 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 108.58/108.93 , clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.58/108.93 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 108.58/108.93 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.58/108.93 , 0, clause( 40507, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.58/108.93 'least_upper_bound'( inverse( X ), identity ), X ), identity ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 108.58/108.93 inverse( X ) ) ) ) ] )
% 108.58/108.93 , 0, 1, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, inverse( X
% 108.58/108.93 ) )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40509, [ =( multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.93 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 108.58/108.93 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 108.58/108.93 , clause( 40508, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X
% 108.58/108.93 ), identity ), X ), multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.93 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1302, [ =( multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.93 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 108.58/108.93 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 108.58/108.93 , clause( 40509, [ =( multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.93 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 108.58/108.93 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40511, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 108.58/108.93 ) ) ] )
% 108.58/108.93 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 108.58/108.93 ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40513, [ =( inverse( inverse( X ) ), multiply( inverse(
% 108.58/108.93 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'( X,
% 108.58/108.93 identity ) ) ) ] )
% 108.58/108.93 , clause( 1257, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.58/108.93 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , 0, clause( 40511, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 108.58/108.93 ), X ) ) ] )
% 108.58/108.93 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.93 'least_upper_bound'( X, identity ) ), :=( Y, inverse( X ) )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40514, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X )
% 108.58/108.93 , identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 108.58/108.93 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.58/108.93 , 0, clause( 40513, [ =( inverse( inverse( X ) ), multiply( inverse(
% 108.58/108.93 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'( X,
% 108.58/108.93 identity ) ) ) ] )
% 108.58/108.93 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.93 ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40515, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 108.58/108.93 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 108.58/108.93 , clause( 40514, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X
% 108.58/108.93 ), identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1303, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 108.58/108.93 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 108.58/108.93 , clause( 40515, [ =( multiply( inverse( 'least_upper_bound'( inverse( X )
% 108.58/108.93 , identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40517, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 108.58/108.93 , clause( 1257, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.58/108.93 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40519, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.93 identity, X ) ), identity ), multiply( 'least_upper_bound'( identity, X )
% 108.58/108.93 , inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 108.58/108.93 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.58/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.58/108.93 , 0, clause( 40517, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 108.58/108.93 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 108.58/108.93 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 108.58/108.93 1, [ :=( X, 'least_upper_bound'( identity, X ) )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40520, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.93 identity, X ) ), identity ), identity ) ] )
% 108.58/108.93 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.58/108.93 , 0, clause( 40519, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.93 identity, X ) ), identity ), multiply( 'least_upper_bound'( identity, X )
% 108.58/108.93 , inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 108.58/108.93 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 108.58/108.93 substitution( 1, [ :=( X, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1308, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.93 identity, X ) ), identity ), identity ) ] )
% 108.58/108.93 , clause( 40520, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.93 identity, X ) ), identity ), identity ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40523, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 108.58/108.93 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 108.58/108.93 , clause( 1257, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.58/108.93 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40525, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.58/108.93 identity ) ), identity ), multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.93 inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 108.58/108.93 , clause( 28, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 108.58/108.93 'least_upper_bound'( X, Y ) ) ] )
% 108.58/108.93 , 0, clause( 40523, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 108.58/108.93 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 108.58/108.93 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 108.58/108.93 1, [ :=( X, 'least_upper_bound'( X, identity ) )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40526, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.58/108.93 identity ) ), identity ), identity ) ] )
% 108.58/108.93 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.58/108.93 , 0, clause( 40525, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.93 X, identity ) ), identity ), multiply( 'least_upper_bound'( X, identity )
% 108.58/108.93 , inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 108.58/108.93 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 108.58/108.93 substitution( 1, [ :=( X, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1309, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.58/108.93 identity ) ), identity ), identity ) ] )
% 108.58/108.93 , clause( 40526, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 108.58/108.93 , identity ) ), identity ), identity ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40529, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 108.58/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.58/108.93 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.58/108.93 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40530, [ =( 'least_upper_bound'( identity, Y ), 'least_upper_bound'(
% 108.58/108.93 'least_upper_bound'( Y, inverse( 'least_upper_bound'( identity, X ) ) ),
% 108.58/108.93 identity ) ) ] )
% 108.58/108.93 , clause( 1308, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.93 identity, X ) ), identity ), identity ) ] )
% 108.58/108.93 , 0, clause( 40529, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 108.58/108.93 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.58/108.93 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 108.58/108.93 :=( Y, inverse( 'least_upper_bound'( identity, X ) ) ), :=( Z, identity )] )
% 108.58/108.93 ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40532, [ =( 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 108.58/108.93 'least_upper_bound'( identity, Y ) ) ), identity ), 'least_upper_bound'(
% 108.58/108.93 identity, X ) ) ] )
% 108.58/108.93 , clause( 40530, [ =( 'least_upper_bound'( identity, Y ),
% 108.58/108.93 'least_upper_bound'( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 108.58/108.93 identity, X ) ) ), identity ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1320, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 108.58/108.93 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 108.58/108.93 identity, Y ) ) ] )
% 108.58/108.93 , clause( 40532, [ =( 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 108.58/108.93 'least_upper_bound'( identity, Y ) ) ), identity ), 'least_upper_bound'(
% 108.58/108.93 identity, X ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.93 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40535, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 108.58/108.93 , clause( 1009, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40536, [ =( X, multiply( multiply( 'least_upper_bound'( identity, X
% 108.58/108.93 ), X ), inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 108.58/108.93 , clause( 1187, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 108.58/108.93 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 108.58/108.93 , 0, clause( 40535, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 108.58/108.93 )
% 108.58/108.93 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.93 :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40537, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 108.58/108.93 , X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 108.58/108.93 , clause( 40536, [ =( X, multiply( multiply( 'least_upper_bound'( identity
% 108.58/108.93 , X ), X ), inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1507, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 108.58/108.93 X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 108.58/108.93 , clause( 40537, [ =( multiply( multiply( 'least_upper_bound'( identity, X
% 108.58/108.93 ), X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40539, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 108.58/108.93 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 108.58/108.93 ) ) ) ] )
% 108.58/108.93 , clause( 68, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 108.58/108.93 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 108.58/108.93 ) ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 108.58/108.93 ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40543, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 108.58/108.93 ), Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ), multiply( X
% 108.58/108.93 , Z ) ) ) ] )
% 108.58/108.93 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.58/108.93 , 0, clause( 40539, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 108.58/108.93 , T ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 108.58/108.93 X, T ) ) ) ] )
% 108.58/108.93 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.93 :=( Y, inverse( X ) ), :=( Z, Y ), :=( T, Z )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40545, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 108.58/108.93 ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 108.58/108.93 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.58/108.93 , 0, clause( 40543, [ =( multiply( X, 'least_upper_bound'( multiply(
% 108.58/108.93 inverse( X ), Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ),
% 108.58/108.93 multiply( X, Z ) ) ) ] )
% 108.58/108.93 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.93 :=( Y, Y ), :=( Z, Z )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 subsumption(
% 108.58/108.93 clause( 1516, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X )
% 108.58/108.93 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 108.58/108.93 , clause( 40545, [ =( multiply( X, 'least_upper_bound'( multiply( inverse(
% 108.58/108.93 X ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 108.58/108.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.58/108.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 eqswap(
% 108.58/108.93 clause( 40548, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 108.58/108.93 'least_upper_bound'( identity, X ), Y ) ) ] )
% 108.58/108.93 , clause( 1223, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 108.58/108.93 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 108.58/108.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40552, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 108.58/108.93 , identity ), 'least_upper_bound'( X, identity ) ), multiply(
% 108.58/108.93 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 108.58/108.93 identity ) ) ) ] )
% 108.58/108.93 , clause( 1132, [ =( multiply( inverse( X ), 'least_upper_bound'( X,
% 108.58/108.93 identity ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.93 , 0, clause( 40548, [ =( 'least_upper_bound'( multiply( X, Y ), Y ),
% 108.58/108.93 multiply( 'least_upper_bound'( identity, X ), Y ) ) ] )
% 108.58/108.93 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.58/108.93 X ) ), :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 108.58/108.93
% 108.58/108.93
% 108.58/108.93 paramod(
% 108.58/108.93 clause( 40553, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.58/108.93 'least_upper_bound'( inverse( X ), identity ), X ), identity ), multiply(
% 108.58/108.93 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 108.58/108.93 identity ) ) ) ] )
% 108.58/108.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.58/108.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.58/108.94 , 0, clause( 40552, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 108.58/108.94 X ), identity ), 'least_upper_bound'( X, identity ) ), multiply(
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 108.58/108.94 identity ) ) ) ] )
% 108.58/108.94 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( X ),
% 108.58/108.94 identity ) ), :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X
% 108.58/108.94 , X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40554, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 108.58/108.94 , identity ), X ), multiply( 'least_upper_bound'( identity, inverse( X )
% 108.58/108.94 ), 'least_upper_bound'( X, identity ) ) ) ] )
% 108.58/108.94 , clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.58/108.94 , 0, clause( 40553, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ), X ), identity ), multiply(
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 108.58/108.94 identity ) ) ) ] )
% 108.58/108.94 , 0, 1, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, inverse( X
% 108.58/108.94 ) )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40555, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 108.58/108.94 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 108.58/108.94 , clause( 40554, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X
% 108.58/108.94 ), identity ), X ), multiply( 'least_upper_bound'( identity, inverse( X
% 108.58/108.94 ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 1524, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 108.58/108.94 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 108.58/108.94 , clause( 40555, [ =( multiply( 'least_upper_bound'( identity, inverse( X )
% 108.58/108.94 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40557, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 108.58/108.94 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 108.58/108.94 ) ) ) ] )
% 108.58/108.94 , clause( 69, [ =( 'least_upper_bound'( multiply( X, T ), multiply(
% 108.58/108.94 multiply( X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y
% 108.58/108.94 , Z ) ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40562, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 108.58/108.94 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 108.58/108.94 multiply( identity, Z ) ) ) ] )
% 108.58/108.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.58/108.94 , 0, clause( 40557, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z,
% 108.58/108.94 T ) ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z
% 108.58/108.94 ), T ) ) ) ] )
% 108.58/108.94 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.94 inverse( X ) ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40563, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 108.58/108.94 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.58/108.94 , 0, clause( 40562, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 108.58/108.94 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 108.58/108.94 multiply( identity, Z ) ) ) ] )
% 108.58/108.94 , 0, 14, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.94 :=( Y, Y ), :=( Z, Z )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 1543, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 108.58/108.94 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 108.58/108.94 , clause( 40563, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 108.58/108.94 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.58/108.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40566, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40569, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 108.58/108.94 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 108.58/108.94 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 108.58/108.94 , 0, clause( 40566, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 108.58/108.94 ), X ) ) ] )
% 108.58/108.94 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, Y ), :=( Y, 'least_upper_bound'( X, inverse( Y ) ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40570, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 108.58/108.94 ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 108.58/108.94 ) ] )
% 108.58/108.94 , clause( 40569, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 108.58/108.94 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 1636, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 108.58/108.94 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 108.58/108.94 ] )
% 108.58/108.94 , clause( 40570, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 108.58/108.94 X ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 108.58/108.94 ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40571, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 108.58/108.94 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 108.58/108.94 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 108.58/108.94 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40572, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 108.58/108.94 , clause( 1009, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40573, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 108.58/108.94 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 108.58/108.94 ] )
% 108.58/108.94 , clause( 40571, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 108.58/108.94 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 108.58/108.94 , 0, clause( 40572, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 108.58/108.94 )
% 108.58/108.94 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.58/108.94 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40574, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 108.58/108.94 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , clause( 40573, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 108.58/108.94 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 108.58/108.94 ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 1706, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 108.58/108.94 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , clause( 40574, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 108.58/108.94 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40576, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40578, [ =( inverse( inverse( X ) ), multiply( inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ),
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 532, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.58/108.94 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.94 , 0, clause( 40576, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 108.58/108.94 ), X ) ) ] )
% 108.58/108.94 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40579, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 108.58/108.94 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40578, [ =( inverse( inverse( X ) ), multiply( inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ),
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40580, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 108.58/108.94 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 108.58/108.94 , clause( 40579, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 108.58/108.94 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 2152, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 108.58/108.94 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 108.58/108.94 , clause( 40580, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 108.58/108.94 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40582, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 108.58/108.94 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 108.58/108.94 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.58/108.94 , clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.58/108.94 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 108.58/108.94 'greatest_lower_bound'( Y, Z ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40585, [ =( 'greatest_lower_bound'( identity, X ),
% 108.58/108.94 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 602, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , 0, clause( 40582, [ =( 'greatest_lower_bound'( Y, Z ),
% 108.58/108.94 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 108.58/108.94 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.58/108.94 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40590, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 108.58/108.94 , clause( 40585, [ =( 'greatest_lower_bound'( identity, X ),
% 108.58/108.94 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 2569, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 108.58/108.94 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 108.58/108.94 , clause( 40590, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40592, [ =( 'greatest_lower_bound'( identity, multiply( X, Y ) ),
% 108.58/108.94 multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 108.58/108.94 , clause( 102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 108.58/108.94 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40594, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 108.58/108.94 multiply( X, inverse( X ) ) ) ] )
% 108.58/108.94 , clause( 85, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 108.58/108.94 , 0, clause( 40592, [ =( 'greatest_lower_bound'( identity, multiply( X, Y )
% 108.58/108.94 ), multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 108.58/108.94 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) ), :=( Z, Z )] )
% 108.58/108.94 , substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( Y, inverse( X ) ), Z ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40595, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 108.58/108.94 identity ) ] )
% 108.58/108.94 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.58/108.94 , 0, clause( 40594, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 108.58/108.94 multiply( X, inverse( X ) ) ) ] )
% 108.58/108.94 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.94 :=( Y, Y ), :=( Z, Z )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 2859, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 108.58/108.94 identity ) ] )
% 108.58/108.94 , clause( 40595, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 108.58/108.94 identity ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.58/108.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40598, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 108.58/108.94 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 108.58/108.94 , clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 108.58/108.94 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40603, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 108.58/108.94 , identity ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 108.58/108.94 , X ), identity ) ), 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.58/108.94 , clause( 2152, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 108.58/108.94 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40598, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 108.58/108.94 ), 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 108.58/108.94 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.94 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), :=( Y,
% 108.58/108.94 'greatest_lower_bound'( identity, X ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40604, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 108.58/108.94 , identity ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.58/108.94 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 108.58/108.94 , identity ) ) ) ) ] )
% 108.58/108.94 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 108.58/108.94 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.58/108.94 , 0, clause( 40603, [ =( multiply( inverse( 'greatest_lower_bound'( inverse(
% 108.58/108.94 X ), identity ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 108.58/108.94 identity, X ), identity ) ), 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.58/108.94 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 108.58/108.94 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40605, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.58/108.94 , clause( 2152, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 108.58/108.94 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40604, [ =( multiply( inverse( 'greatest_lower_bound'( inverse(
% 108.58/108.94 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.58/108.94 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 108.58/108.94 , identity ) ) ) ) ] )
% 108.58/108.94 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40606, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.58/108.94 , clause( 40605, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 3200, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.58/108.94 , clause( 40606, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40607, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.58/108.94 , clause( 3200, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40608, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 108.58/108.94 , clause( 213, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 108.58/108.94 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.58/108.94 , 0, clause( 40607, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.58/108.94 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 108.58/108.94 substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40614, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 108.58/108.94 , clause( 40608, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 3229, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 108.58/108.94 , clause( 40614, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40618, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 108.58/108.94 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 108.58/108.94 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40623, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 108.58/108.94 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 108.58/108.94 , clause( 3229, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40618, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 108.58/108.94 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 108.58/108.94 Y ) ) ) ] )
% 108.58/108.94 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 108.58/108.94 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'greatest_lower_bound'(
% 108.58/108.94 identity, inverse( multiply( X, Y ) ) ) ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40624, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 108.58/108.94 inverse( Y ) ) ), X ) ] )
% 108.58/108.94 , clause( 1009, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.58/108.94 , 0, clause( 40623, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 108.58/108.94 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 108.58/108.94 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40625, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 108.58/108.94 ) ] )
% 108.58/108.94 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 108.58/108.94 multiply( X, Y ) ) ) ] )
% 108.58/108.94 , 0, clause( 40624, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 108.58/108.94 inverse( Y ) ) ), X ) ] )
% 108.58/108.94 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'(
% 108.58/108.94 identity, inverse( multiply( X, Y ) ) ) )] ), substitution( 1, [ :=( X, X
% 108.58/108.94 ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40626, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 108.58/108.94 ] )
% 108.58/108.94 , clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse(
% 108.58/108.94 multiply( Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse(
% 108.58/108.94 Y ) ) ) ] )
% 108.58/108.94 , 0, clause( 40625, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 108.58/108.94 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 108.58/108.94 ) ] )
% 108.58/108.94 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 108.58/108.94 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40627, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 108.58/108.94 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.58/108.94 , 0, clause( 40626, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 108.58/108.94 ] )
% 108.58/108.94 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.94 :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 4731, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 108.58/108.94 , clause( 40627, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40630, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 108.58/108.94 , clause( 4731, [ =( 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40631, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 108.58/108.94 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 108.58/108.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40630, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 108.58/108.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.58/108.94 X ) ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40632, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.58/108.94 , clause( 40631, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 108.58/108.94 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 4774, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.58/108.94 , clause( 40632, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40634, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 108.58/108.94 , Y ) ) ] )
% 108.58/108.94 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 108.58/108.94 , X ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40635, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.58/108.94 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 108.58/108.94 ) ) ) ) ] )
% 108.58/108.94 , clause( 4774, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.58/108.94 , 0, clause( 40634, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 108.58/108.94 , Y ), Y ) ) ] )
% 108.58/108.94 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, inverse( Y ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40636, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 108.58/108.94 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 108.58/108.94 ) ) ) ] )
% 108.58/108.94 , clause( 40635, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.58/108.94 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 108.58/108.94 ) ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 4859, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 108.58/108.94 ) ) ) ] )
% 108.58/108.94 , clause( 40636, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 108.58/108.94 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 108.58/108.94 ) ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40638, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 108.58/108.94 ) ) ) ] )
% 108.58/108.94 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 108.58/108.94 , X ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40639, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.58/108.94 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 108.58/108.94 Y ) ) ) ] )
% 108.58/108.94 , clause( 4774, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.58/108.94 , 0, clause( 40638, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.58/108.94 Y, X ) ) ) ] )
% 108.58/108.94 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40640, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 108.58/108.94 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.58/108.94 , clause( 40639, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.58/108.94 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 108.58/108.94 Y ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 4860, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 108.58/108.94 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.58/108.94 , clause( 40640, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.58/108.94 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 108.58/108.94 )
% 108.58/108.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40642, [ =( inverse( 'greatest_lower_bound'( Y, X ) ),
% 108.58/108.94 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( Y, X
% 108.58/108.94 ) ) ) ) ] )
% 108.58/108.94 , clause( 4859, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 108.58/108.94 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 108.58/108.94 ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40646, [ =( inverse( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.58/108.94 Y, X ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X ) ),
% 108.58/108.94 inverse( X ) ) ) ] )
% 108.58/108.94 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 108.58/108.94 , X ) ] )
% 108.58/108.94 , 0, clause( 40642, [ =( inverse( 'greatest_lower_bound'( Y, X ) ),
% 108.58/108.94 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( Y, X
% 108.58/108.94 ) ) ) ) ] )
% 108.58/108.94 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.58/108.94 :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40647, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 108.58/108.94 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 108.58/108.94 , X ) ] )
% 108.58/108.94 , 0, clause( 40646, [ =( inverse( 'greatest_lower_bound'( X,
% 108.58/108.94 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 108.58/108.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.58/108.94 :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40649, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 108.58/108.94 ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.58/108.94 , clause( 40647, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 5289, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 108.58/108.94 ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.58/108.94 , clause( 40649, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 108.58/108.94 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40652, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 108.58/108.94 , clause( 5289, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.58/108.94 X ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40654, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 108.58/108.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40652, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 108.58/108.94 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 108.58/108.94 :=( Y, inverse( X ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40655, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 108.58/108.94 , inverse( X ) ) ), X ) ) ] )
% 108.58/108.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40654, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 108.58/108.94 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 108.58/108.94 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.94 :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40657, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.58/108.94 inverse( X ) ) ), X ), X ) ] )
% 108.58/108.94 , clause( 40655, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 Y, inverse( X ) ) ), X ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 5304, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.58/108.94 inverse( X ) ) ), X ), X ) ] )
% 108.58/108.94 , clause( 40657, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 108.58/108.94 , inverse( X ) ) ), X ), X ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40660, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 108.58/108.94 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 108.58/108.94 , clause( 975, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 108.58/108.94 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40664, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 108.58/108.94 , inverse( X ) ) ) ), 'greatest_lower_bound'( 'least_upper_bound'( X,
% 108.58/108.94 inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), X ) ) ] )
% 108.58/108.94 , clause( 5304, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.58/108.94 inverse( X ) ) ), X ), X ) ] )
% 108.58/108.94 , 0, clause( 40660, [ =( 'least_upper_bound'( X, Y ),
% 108.58/108.94 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.58/108.94 Y, X ) ) ) ] )
% 108.58/108.94 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.58/108.94 :=( X, X ), :=( Y, inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40666, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 108.58/108.94 , inverse( X ) ) ) ), X ) ] )
% 108.58/108.94 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 108.58/108.94 , X ) ] )
% 108.58/108.94 , 0, clause( 40664, [ =( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( Y, inverse( X ) ) ) ), 'greatest_lower_bound'(
% 108.58/108.94 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 108.58/108.94 ), X ) ) ] )
% 108.58/108.94 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 108.58/108.94 Y, inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 5316, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 108.58/108.94 , inverse( Y ) ) ) ), Y ) ] )
% 108.58/108.94 , clause( 40666, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 Y, inverse( X ) ) ) ), X ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40669, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.58/108.94 ) ) ) ] )
% 108.58/108.94 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 108.58/108.94 , X ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40670, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 108.58/108.94 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 108.58/108.94 , Y ) ) ] )
% 108.58/108.94 , clause( 5304, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.58/108.94 inverse( X ) ) ), X ), X ) ] )
% 108.58/108.94 , 0, clause( 40669, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.58/108.94 X, Y ) ) ) ] )
% 108.58/108.94 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40671, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 108.58/108.94 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , clause( 40670, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 108.58/108.94 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 108.58/108.94 , Y ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 5333, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 108.58/108.94 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , clause( 40671, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40673, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 108.58/108.94 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.58/108.94 , clause( 1101, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 108.58/108.94 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40676, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 108.58/108.94 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 108.58/108.94 identity ) ) ) ) ] )
% 108.58/108.94 , clause( 1009, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.58/108.94 , 0, clause( 40673, [ =( X, multiply( 'least_upper_bound'( X, multiply( X,
% 108.58/108.94 Y ) ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.58/108.94 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40677, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 108.58/108.94 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 108.58/108.94 Y ) ) ] )
% 108.58/108.94 , clause( 40676, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 108.58/108.94 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 108.58/108.94 identity ) ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 5776, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 108.58/108.94 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 108.58/108.94 Y ) ) ] )
% 108.58/108.94 , clause( 40677, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X )
% 108.58/108.94 , inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X
% 108.58/108.94 , Y ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40679, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 108.58/108.94 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 108.58/108.94 , clause( 1297, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 108.58/108.94 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40682, [ =( inverse( inverse( X ) ), multiply( inverse(
% 108.58/108.94 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 108.58/108.94 Y, X ), identity ) ) ) ] )
% 108.58/108.94 , clause( 1009, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.58/108.94 , 0, clause( 40679, [ =( inverse( Y ), multiply( inverse(
% 108.58/108.94 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 108.58/108.94 identity ) ) ) ] )
% 108.58/108.94 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.58/108.94 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40683, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.58/108.94 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 108.58/108.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40682, [ =( inverse( inverse( X ) ), multiply( inverse(
% 108.58/108.94 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 108.58/108.94 Y, X ), identity ) ) ) ] )
% 108.58/108.94 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.94 :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40684, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 108.58/108.94 ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 108.58/108.94 , clause( 40683, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.58/108.94 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12249, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 108.58/108.94 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 108.58/108.94 , clause( 40684, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 108.58/108.94 ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40686, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 108.58/108.94 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.58/108.94 , clause( 1095, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.58/108.94 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40693, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 108.58/108.94 , inverse( Y ) ) ) ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 108.58/108.94 Y ) ) ), 'least_upper_bound'( identity, 'least_upper_bound'( multiply( X
% 108.58/108.94 , Y ), identity ) ) ) ) ] )
% 108.58/108.94 , clause( 12249, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 108.58/108.94 ) ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 108.58/108.94 , 0, clause( 40686, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 108.58/108.94 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.58/108.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.58/108.94 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y,
% 108.58/108.94 'least_upper_bound'( multiply( X, Y ), identity ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40694, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 108.58/108.94 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.58/108.94 X ) ) ), 'least_upper_bound'( 'least_upper_bound'( identity, multiply( Y
% 108.58/108.94 , X ) ), identity ) ) ) ] )
% 108.58/108.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.58/108.94 , 0, clause( 40693, [ =( 'least_upper_bound'( Y, inverse(
% 108.58/108.94 'least_upper_bound'( X, inverse( Y ) ) ) ), multiply( inverse(
% 108.58/108.94 'least_upper_bound'( X, inverse( Y ) ) ), 'least_upper_bound'( identity,
% 108.58/108.94 'least_upper_bound'( multiply( X, Y ), identity ) ) ) ) ] )
% 108.58/108.94 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) ),
% 108.58/108.94 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40695, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 108.58/108.94 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.58/108.94 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 108.58/108.94 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.58/108.94 'least_upper_bound'( X, Y ) ) ] )
% 108.58/108.94 , 0, clause( 40694, [ =( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 108.58/108.94 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( identity, multiply( Y, X ) ), identity ) ) ) ] )
% 108.58/108.94 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) )] )
% 108.58/108.94 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40696, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.58/108.94 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 108.58/108.94 , clause( 5316, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 108.58/108.94 X, inverse( Y ) ) ) ), Y ) ] )
% 108.58/108.94 , 0, clause( 40695, [ =( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 108.58/108.94 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( identity,
% 108.58/108.94 multiply( Y, X ) ) ) ) ] )
% 108.58/108.94 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40697, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 108.58/108.94 ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 108.58/108.94 , clause( 40696, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.58/108.94 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12266, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 108.58/108.94 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 108.58/108.94 , clause( 40697, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 108.58/108.94 ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.58/108.94 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40699, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 108.58/108.94 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 108.58/108.94 , clause( 12266, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 108.58/108.94 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40704, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 108.58/108.94 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 108.58/108.94 ), X ), inverse( inverse( 'least_upper_bound'( X, identity ) ) ) ) ),
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 1507, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 108.58/108.94 , X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40699, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 108.58/108.94 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 108.58/108.94 )
% 108.58/108.94 , 0, 20, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.94 multiply( 'least_upper_bound'( identity, X ), X ) ), :=( Y, inverse(
% 108.58/108.94 'least_upper_bound'( X, identity ) ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40705, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 108.58/108.94 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 108.58/108.94 ), X ), 'least_upper_bound'( X, identity ) ) ), 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ) ] )
% 108.58/108.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40704, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 108.58/108.94 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 108.58/108.94 identity, X ), X ), inverse( inverse( 'least_upper_bound'( X, identity )
% 108.58/108.94 ) ) ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , 0, 13, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] )
% 108.58/108.94 , substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40706, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 108.58/108.94 inverse( 'least_upper_bound'( 'least_upper_bound'( multiply(
% 108.58/108.94 'least_upper_bound'( identity, X ), X ), X ), identity ) ),
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.58/108.94 , 0, clause( 40705, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 108.58/108.94 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 108.58/108.94 identity, X ), X ), 'least_upper_bound'( X, identity ) ) ),
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , 0, 7, substitution( 0, [ :=( X, multiply( 'least_upper_bound'( identity,
% 108.58/108.94 X ), X ) ), :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X, X
% 108.58/108.94 )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40707, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 108.58/108.94 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 108.58/108.94 ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 632, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 108.58/108.94 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , 0, clause( 40706, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 108.58/108.94 multiply( inverse( 'least_upper_bound'( 'least_upper_bound'( multiply(
% 108.58/108.94 'least_upper_bound'( identity, X ), X ), X ), identity ) ),
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40708, [ =( inverse( 'least_upper_bound'( X, identity ) ), inverse(
% 108.58/108.94 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )
% 108.58/108.94 ) ] )
% 108.58/108.94 , clause( 1636, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 108.58/108.94 ), identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 108.58/108.94 ) ] )
% 108.58/108.94 , 0, clause( 40707, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 108.58/108.94 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 108.58/108.94 identity, X ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) )
% 108.58/108.94 ] )
% 108.58/108.94 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 108.58/108.94 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40709, [ =( inverse( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 108.58/108.94 , identity ) ) ) ] )
% 108.58/108.94 , clause( 40708, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 108.58/108.94 inverse( 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity,
% 108.58/108.94 X ) ) ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12271, [ =( inverse( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 108.58/108.94 , identity ) ) ) ] )
% 108.58/108.94 , clause( 40709, [ =( inverse( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 108.58/108.94 , identity ) ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40711, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X )
% 108.58/108.94 , identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 108.58/108.94 , clause( 1303, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 108.58/108.94 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40716, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ), multiply( inverse( 'least_upper_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( X, identity ) ), identity ) ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 108.58/108.94 identity ) ) ) ] )
% 108.58/108.94 , clause( 12271, [ =( inverse( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 108.58/108.94 , identity ) ) ) ] )
% 108.58/108.94 , 0, clause( 40711, [ =( X, multiply( inverse( 'least_upper_bound'( inverse(
% 108.58/108.94 X ), identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 108.58/108.94 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.94 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40717, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ), multiply( inverse( identity ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 108.58/108.94 identity ) ) ) ] )
% 108.58/108.94 , clause( 1309, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.58/108.94 identity ) ), identity ), identity ) ] )
% 108.58/108.94 , 0, clause( 40716, [ =( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ), multiply( inverse(
% 108.58/108.94 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 108.58/108.94 identity ) ), 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ), identity ) ) ) ] )
% 108.58/108.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40718, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ), multiply( identity, 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 108.58/108.94 identity ) ) ) ] )
% 108.58/108.94 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 108.58/108.94 , 0, clause( 40717, [ =( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ), multiply( inverse( identity ),
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ), identity ) ) ) ] )
% 108.58/108.94 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40719, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ), identity ) ) ] )
% 108.58/108.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.58/108.94 , 0, clause( 40718, [ =( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ), multiply( identity,
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ), identity ) ) ) ] )
% 108.58/108.94 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( 'least_upper_bound'(
% 108.58/108.94 X, inverse( 'least_upper_bound'( identity, X ) ) ), identity ) )] ),
% 108.58/108.94 substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40720, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , clause( 1320, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 108.58/108.94 identity, Y ) ) ] )
% 108.58/108.94 , 0, clause( 40719, [ =( 'least_upper_bound'( X, inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ) ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 108.58/108.94 identity ) ) ] )
% 108.58/108.94 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12281, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , clause( 40720, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40723, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 108.58/108.94 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 108.58/108.94 , clause( 12266, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 108.58/108.94 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40727, [ =( 'least_upper_bound'( identity, X ), multiply( inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity,
% 108.58/108.94 multiply( X, 'least_upper_bound'( identity, X ) ) ) ) ) ] )
% 108.58/108.94 , clause( 12281, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , 0, clause( 40723, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 108.58/108.94 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 108.58/108.94 )
% 108.58/108.94 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.94 :=( Y, 'least_upper_bound'( identity, X ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40728, [ =( 'least_upper_bound'( identity, X ), multiply( inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity,
% 108.58/108.94 multiply( 'least_upper_bound'( identity, X ), X ) ) ) ) ] )
% 108.58/108.94 , clause( 1189, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 108.58/108.94 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 108.58/108.94 , 0, clause( 40727, [ =( 'least_upper_bound'( identity, X ), multiply(
% 108.58/108.94 inverse( 'least_upper_bound'( identity, X ) ), 'least_upper_bound'(
% 108.58/108.94 identity, multiply( X, 'least_upper_bound'( identity, X ) ) ) ) ) ] )
% 108.58/108.94 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40729, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 108.58/108.94 multiply( inverse( 'least_upper_bound'( identity, X ) ), identity ), X )
% 108.58/108.94 ) ] )
% 108.58/108.94 , clause( 1543, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 108.58/108.94 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , 0, clause( 40728, [ =( 'least_upper_bound'( identity, X ), multiply(
% 108.58/108.94 inverse( 'least_upper_bound'( identity, X ) ), 'least_upper_bound'(
% 108.58/108.94 identity, multiply( 'least_upper_bound'( identity, X ), X ) ) ) ) ] )
% 108.58/108.94 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 108.58/108.94 :=( Y, identity ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40730, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 108.58/108.94 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 108.58/108.94 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.58/108.94 , 0, clause( 40729, [ =( 'least_upper_bound'( identity, X ),
% 108.58/108.94 'least_upper_bound'( multiply( inverse( 'least_upper_bound'( identity, X
% 108.58/108.94 ) ), identity ), X ) ) ] )
% 108.58/108.94 , 0, 5, substitution( 0, [ :=( X, inverse( 'least_upper_bound'( identity, X
% 108.58/108.94 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40731, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , clause( 40730, [ =( 'least_upper_bound'( identity, X ),
% 108.58/108.94 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 108.58/108.94 ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12285, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , clause( 40731, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40732, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ),
% 108.58/108.94 inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.58/108.94 , clause( 1179, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 108.58/108.94 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40733, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 108.58/108.94 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 108.58/108.94 , clause( 12285, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40736, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 108.58/108.94 ), 'least_upper_bound'( inverse( multiply( identity, 'least_upper_bound'(
% 108.58/108.94 X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 40732, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) )
% 108.58/108.94 , inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.58/108.94 , 0, clause( 40733, [ =( 'least_upper_bound'( identity, X ),
% 108.58/108.94 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 108.58/108.94 ] )
% 108.58/108.94 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 108.58/108.94 1, [ :=( X, multiply( identity, X ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40739, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 108.58/108.94 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 108.58/108.94 multiply( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.58/108.94 , 0, clause( 40736, [ =( 'least_upper_bound'( identity, multiply( identity
% 108.58/108.94 , X ) ), 'least_upper_bound'( inverse( multiply( identity,
% 108.58/108.94 'least_upper_bound'( X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 108.58/108.94 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 108.58/108.94 substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40745, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 108.58/108.94 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.58/108.94 , 0, clause( 40739, [ =( 'least_upper_bound'( identity, multiply( identity
% 108.58/108.94 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 108.58/108.94 ), multiply( identity, X ) ) ) ] )
% 108.58/108.94 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40746, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 108.58/108.94 inverse( 'least_upper_bound'( X, identity ) ), X ) ) ] )
% 108.58/108.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.58/108.94 , 0, clause( 40745, [ =( 'least_upper_bound'( identity, multiply( identity
% 108.58/108.94 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 108.58/108.94 ), X ) ) ] )
% 108.58/108.94 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40748, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.58/108.94 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , clause( 40746, [ =( 'least_upper_bound'( identity, X ),
% 108.58/108.94 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X ) )
% 108.58/108.94 ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12305, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.58/108.94 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , clause( 40748, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 108.58/108.94 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40751, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 108.58/108.94 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 108.58/108.94 , clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 108.58/108.94 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40755, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 108.58/108.94 X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 108.58/108.94 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 108.58/108.94 , clause( 12305, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 108.58/108.94 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 108.58/108.94 , 0, clause( 40751, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X
% 108.58/108.94 ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 108.58/108.94 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.58/108.94 :=( Y, inverse( 'least_upper_bound'( X, identity ) ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40756, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 108.58/108.94 X ) ), 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X,
% 108.58/108.94 identity ), X ) ), identity ) ) ] )
% 108.58/108.94 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 108.58/108.94 multiply( X, Y ) ) ) ] )
% 108.58/108.94 , 0, clause( 40755, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 108.58/108.94 identity, X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 108.58/108.94 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 108.58/108.94 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) ),
% 108.58/108.94 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40757, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 108.58/108.94 ), X ) ), identity ) ) ] )
% 108.58/108.94 , clause( 1097, [ =( multiply( inverse( X ), 'least_upper_bound'( identity
% 108.58/108.94 , X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.94 , 0, clause( 40756, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 108.58/108.94 identity, X ) ), 'least_upper_bound'( inverse( multiply(
% 108.58/108.94 'least_upper_bound'( X, identity ), X ) ), identity ) ) ] )
% 108.58/108.94 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40758, [ =( 'least_upper_bound'( inverse( multiply(
% 108.58/108.94 'least_upper_bound'( X, identity ), X ) ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.94 , clause( 40757, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 108.58/108.94 ), X ) ), identity ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12319, [ =( 'least_upper_bound'( inverse( multiply(
% 108.58/108.94 'least_upper_bound'( X, identity ), X ) ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.94 , clause( 40758, [ =( 'least_upper_bound'( inverse( multiply(
% 108.58/108.94 'least_upper_bound'( X, identity ), X ) ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40760, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 108.58/108.94 ), X ) ), identity ) ) ] )
% 108.58/108.94 , clause( 12319, [ =( 'least_upper_bound'( inverse( multiply(
% 108.58/108.94 'least_upper_bound'( X, identity ), X ) ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40768, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 108.58/108.94 ), identity ) ) ] )
% 108.58/108.94 , clause( 1246, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 108.58/108.94 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 108.58/108.94 , 0, clause( 40760, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 108.58/108.94 ), X ) ), identity ) ) ] )
% 108.58/108.94 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40772, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 108.58/108.94 identity ) ) ] )
% 108.58/108.94 , clause( 40768, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 108.58/108.94 ), identity ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12467, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 108.58/108.94 identity ) ) ] )
% 108.58/108.94 , clause( 40772, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 108.58/108.94 identity ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40774, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 108.58/108.94 ), X ) ), identity ) ) ] )
% 108.58/108.94 , clause( 12319, [ =( 'least_upper_bound'( inverse( multiply(
% 108.58/108.94 'least_upper_bound'( X, identity ), X ) ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40780, [ =( 'least_upper_bound'( inverse( inverse(
% 108.58/108.94 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 108.58/108.94 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 108.58/108.94 identity ) ) ] )
% 108.58/108.94 , clause( 12467, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 108.58/108.94 identity ) ) ] )
% 108.58/108.94 , 0, clause( 40774, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 108.58/108.94 ), X ) ), identity ) ) ] )
% 108.58/108.94 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.94 inverse( 'least_upper_bound'( multiply( X, X ), X ) ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40781, [ =( 'least_upper_bound'( inverse( inverse(
% 108.58/108.94 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 108.58/108.94 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 108.58/108.94 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 108.58/108.94 ) ] )
% 108.58/108.94 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 108.58/108.94 inverse( Y ) ) ) ] )
% 108.58/108.94 , 0, clause( 40780, [ =( 'least_upper_bound'( inverse( inverse(
% 108.58/108.94 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 108.58/108.94 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 108.58/108.94 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 108.58/108.94 identity ) ) ] )
% 108.58/108.94 , 0, 11, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( X, X ), X
% 108.58/108.94 ) ), :=( Y, 'least_upper_bound'( inverse( X ), identity ) )] ),
% 108.58/108.94 substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40782, [ =( 'least_upper_bound'( inverse( inverse(
% 108.58/108.94 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 108.58/108.94 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 108.58/108.94 , clause( 5776, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 108.58/108.94 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 108.58/108.94 Y ) ) ] )
% 108.58/108.94 , 0, clause( 40781, [ =( 'least_upper_bound'( inverse( inverse(
% 108.58/108.94 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 108.58/108.94 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 108.58/108.94 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 108.58/108.94 ) ] )
% 108.58/108.94 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 108.58/108.94 :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40783, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 108.58/108.94 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 108.58/108.94 ] )
% 108.58/108.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40782, [ =( 'least_upper_bound'( inverse( inverse(
% 108.58/108.94 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 108.58/108.94 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 108.58/108.94 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( X, X ), X
% 108.58/108.94 ) )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12469, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 108.58/108.94 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 108.58/108.94 ] )
% 108.58/108.94 , clause( 40783, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 108.58/108.94 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 108.58/108.94 ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40786, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 108.58/108.94 , 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ) )
% 108.58/108.94 ] )
% 108.58/108.94 , clause( 2859, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 108.58/108.94 identity ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40789, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 108.58/108.94 , 'least_upper_bound'( multiply( inverse( X ), inverse( X ) ), identity )
% 108.58/108.94 ) ) ) ] )
% 108.58/108.94 , clause( 12469, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 108.58/108.94 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 108.58/108.94 ) ] )
% 108.58/108.94 , 0, clause( 40786, [ =( identity, 'greatest_lower_bound'( identity,
% 108.58/108.94 multiply( X, 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) )
% 108.58/108.94 , Z ) ) ) ) ] )
% 108.58/108.94 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 108.58/108.94 :=( X, X ), :=( Y, multiply( inverse( X ), inverse( X ) ) ), :=( Z,
% 108.58/108.94 identity )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40790, [ =( identity, 'greatest_lower_bound'( identity,
% 108.58/108.94 'least_upper_bound'( inverse( X ), multiply( X, identity ) ) ) ) ] )
% 108.58/108.94 , clause( 1516, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 108.58/108.94 ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 108.58/108.94 , 0, clause( 40789, [ =( identity, 'greatest_lower_bound'( identity,
% 108.58/108.94 multiply( X, 'least_upper_bound'( multiply( inverse( X ), inverse( X ) )
% 108.58/108.94 , identity ) ) ) ) ] )
% 108.58/108.94 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z,
% 108.58/108.94 identity )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40791, [ =( identity, 'greatest_lower_bound'( identity,
% 108.58/108.94 'least_upper_bound'( inverse( X ), X ) ) ) ] )
% 108.58/108.94 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 108.58/108.94 , 0, clause( 40790, [ =( identity, 'greatest_lower_bound'( identity,
% 108.58/108.94 'least_upper_bound'( inverse( X ), multiply( X, identity ) ) ) ) ] )
% 108.58/108.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40792, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 108.58/108.94 inverse( X ), X ) ), identity ) ] )
% 108.58/108.94 , clause( 40791, [ =( identity, 'greatest_lower_bound'( identity,
% 108.58/108.94 'least_upper_bound'( inverse( X ), X ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12494, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 108.58/108.94 inverse( X ), X ) ), identity ) ] )
% 108.58/108.94 , clause( 40792, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 108.58/108.94 inverse( X ), X ) ), identity ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40794, [ =( 'least_upper_bound'( X, Z ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( X, 'greatest_lower_bound'( Y, 'least_upper_bound'( X
% 108.58/108.94 , Z ) ) ), Z ) ) ] )
% 108.58/108.94 , clause( 405, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 108.58/108.94 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ), Y ),
% 108.58/108.94 'least_upper_bound'( X, Y ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40795, [ =( 'least_upper_bound'( inverse( X ), X ),
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( inverse( X ), identity ), X ) )
% 108.58/108.94 ] )
% 108.58/108.94 , clause( 12494, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 108.58/108.94 inverse( X ), X ) ), identity ) ] )
% 108.58/108.94 , 0, clause( 40794, [ =( 'least_upper_bound'( X, Z ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( X, 'greatest_lower_bound'( Y, 'least_upper_bound'( X
% 108.58/108.94 , Z ) ) ), Z ) ) ] )
% 108.58/108.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.58/108.94 X ) ), :=( Y, identity ), :=( Z, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40796, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 108.58/108.94 , identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 108.58/108.94 , clause( 40795, [ =( 'least_upper_bound'( inverse( X ), X ),
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( inverse( X ), identity ), X ) )
% 108.58/108.94 ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 12539, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 108.58/108.94 , identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 108.58/108.94 , clause( 40796, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X
% 108.58/108.94 ), identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40799, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 108.58/108.94 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse( X )
% 108.58/108.94 , X ) ) ] )
% 108.58/108.94 , clause( 12539, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X
% 108.58/108.94 ), identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 108.58/108.94 , 0, clause( 1524, [ =( multiply( 'least_upper_bound'( identity, inverse( X
% 108.58/108.94 ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 108.58/108.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 20030, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 108.58/108.94 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse( X )
% 108.58/108.94 , X ) ) ] )
% 108.58/108.94 , clause( 40799, [ =( multiply( 'least_upper_bound'( identity, inverse( X )
% 108.58/108.94 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse( X
% 108.58/108.94 ), X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40803, [ =( multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 108.58/108.94 inverse( X ), X ) ) ] )
% 108.58/108.94 , clause( 12539, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X
% 108.58/108.94 ), identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 108.58/108.94 , 0, clause( 1302, [ =( multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 108.58/108.94 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 108.58/108.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 20036, [ =( multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 108.58/108.94 inverse( X ), X ) ) ] )
% 108.58/108.94 , clause( 40803, [ =( multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 108.58/108.94 inverse( X ), X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40806, [ =( 'greatest_lower_bound'( identity, Y ),
% 108.58/108.94 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.58/108.94 , clause( 2569, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 108.58/108.94 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 108.58/108.94 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40807, [ =( 'greatest_lower_bound'( identity, X ),
% 108.58/108.94 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 108.58/108.94 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 5333, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , 0, clause( 40806, [ =( 'greatest_lower_bound'( identity, Y ),
% 108.58/108.94 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.58/108.94 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 108.58/108.94 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40808, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ] )
% 108.58/108.94 , clause( 40807, [ =( 'greatest_lower_bound'( identity, X ),
% 108.58/108.94 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 108.58/108.94 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 38712, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ] )
% 108.58/108.94 , clause( 40808, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40810, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 108.58/108.94 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 108.58/108.94 ] )
% 108.58/108.94 , clause( 1706, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 108.58/108.94 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 108.58/108.94 ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40817, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.58/108.94 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 108.58/108.94 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 108.58/108.94 , clause( 38712, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ] )
% 108.58/108.94 , 0, clause( 40810, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 108.58/108.94 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 108.58/108.94 , Y ) ) ) ) ] )
% 108.58/108.94 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.58/108.94 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 108.58/108.94 'greatest_lower_bound'( identity, X ) )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40818, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.58/108.94 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 108.58/108.94 , clause( 1011, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 108.58/108.94 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 108.58/108.94 )
% 108.58/108.94 , 0, clause( 40817, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.58/108.94 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 108.58/108.94 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 108.58/108.94 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 108.58/108.94 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 108.58/108.94 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40819, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.58/108.94 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 108.58/108.94 X ) ) ) ) ) ) ] )
% 108.58/108.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.58/108.94 , 0, clause( 40818, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.58/108.94 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 108.58/108.94 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 108.58/108.94 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40821, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.58/108.94 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 108.58/108.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40819, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.58/108.94 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 108.58/108.94 X ) ) ) ) ) ) ] )
% 108.58/108.94 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 108.58/108.94 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40822, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.58/108.94 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 108.58/108.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 108.58/108.94 , 0, clause( 40821, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.58/108.94 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 108.58/108.94 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 108.58/108.94 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40827, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 108.58/108.94 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.58/108.94 , 0, clause( 40822, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.58/108.94 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 108.58/108.94 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 108.58/108.94 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 108.58/108.94 , [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40828, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.58/108.94 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.58/108.94 inverse( X ) ) ) ] )
% 108.58/108.94 , clause( 583, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 108.58/108.94 ) ) ) ] )
% 108.58/108.94 , 0, clause( 40827, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.58/108.94 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 108.58/108.94 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40829, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 4860, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.58/108.94 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 108.58/108.94 )
% 108.58/108.94 , 0, clause( 40828, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.58/108.94 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.58/108.94 inverse( X ) ) ) ] )
% 108.58/108.94 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 108.58/108.94 1, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 38731, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , clause( 40829, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.58/108.94 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40832, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 108.58/108.94 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 108.58/108.94 inverse( X ) ) ) ) ] )
% 108.58/108.94 , clause( 20036, [ =( multiply( 'least_upper_bound'( X, identity ),
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 108.58/108.94 inverse( X ), X ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40833, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 108.58/108.94 'least_upper_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ) ) ) ] )
% 108.58/108.94 , clause( 38731, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.58/108.94 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , 0, clause( 40832, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 108.58/108.94 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 108.58/108.94 inverse( X ) ) ) ) ] )
% 108.58/108.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40834, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 108.58/108.94 X ), X ) ) ] )
% 108.58/108.94 , clause( 40833, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 108.58/108.94 'least_upper_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 108.58/108.94 identity, X ) ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 38822, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 108.58/108.94 X ), X ) ) ] )
% 108.58/108.94 , clause( 40834, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 108.58/108.94 X ), X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40836, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 108.58/108.94 identity ) ) ) ] )
% 108.58/108.94 , clause( 20030, [ =( multiply( 'least_upper_bound'( identity, inverse( X )
% 108.58/108.94 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse( X
% 108.58/108.94 ), X ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40837, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 108.58/108.94 inverse( 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X
% 108.58/108.94 , identity ) ) ) ] )
% 108.58/108.94 , clause( 38731, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.58/108.94 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.58/108.94 , 0, clause( 40836, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 108.58/108.94 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 108.58/108.94 identity ) ) ) ] )
% 108.58/108.94 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.58/108.94 ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqswap(
% 108.58/108.94 clause( 40838, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 108.58/108.94 ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 108.58/108.94 X ), X ) ) ] )
% 108.58/108.94 , clause( 40837, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 108.58/108.94 inverse( 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X
% 108.58/108.94 , identity ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [ :=( X, X )] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 38825, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 108.58/108.94 ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 108.58/108.94 X ), X ) ) ] )
% 108.58/108.94 , clause( 40838, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 108.58/108.94 X ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 108.58/108.94 X ), X ) ) ] )
% 108.58/108.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40842, [ ~( =( 'least_upper_bound'( inverse( a ), a ), multiply(
% 108.58/108.94 inverse( 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a
% 108.58/108.94 , identity ) ) ) ) ] )
% 108.58/108.94 , clause( 38822, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 108.58/108.94 X ), X ) ) ] )
% 108.58/108.94 , 0, clause( 196, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 108.58/108.94 inverse( 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 108.58/108.94 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 108.58/108.94 ) ) ) ) ] )
% 108.58/108.94 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 paramod(
% 108.58/108.94 clause( 40843, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 108.58/108.94 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 108.58/108.94 , clause( 38825, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 108.58/108.94 X ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 108.58/108.94 X ), X ) ) ] )
% 108.58/108.94 , 0, clause( 40842, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 108.58/108.94 multiply( inverse( 'greatest_lower_bound'( identity, a ) ),
% 108.58/108.94 'least_upper_bound'( a, identity ) ) ) ) ] )
% 108.58/108.94 , 0, 6, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 eqrefl(
% 108.58/108.94 clause( 40844, [] )
% 108.58/108.94 , clause( 40843, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 108.58/108.94 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 108.58/108.94 , 0, substitution( 0, [] )).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 subsumption(
% 108.58/108.94 clause( 39726, [] )
% 108.58/108.94 , clause( 40844, [] )
% 108.58/108.94 , substitution( 0, [] ), permutation( 0, [] ) ).
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 end.
% 108.58/108.94
% 108.58/108.94 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 108.58/108.94
% 108.58/108.94 Memory use:
% 108.58/108.94
% 108.58/108.94 space for terms: 571251
% 108.58/108.94 space for clauses: 4158332
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 clauses generated: 28128195
% 108.58/108.94 clauses kept: 39727
% 108.58/108.94 clauses selected: 6925
% 108.58/108.94 clauses deleted: 3942
% 108.58/108.94 clauses inuse deleted: 1762
% 108.58/108.94
% 108.58/108.94 subsentry: 1200150
% 108.58/108.94 literals s-matched: 1197145
% 108.58/108.94 literals matched: 1196863
% 108.58/108.94 full subsumption: 0
% 108.58/108.94
% 108.58/108.94 checksum: 1202233336
% 108.58/108.94
% 108.58/108.94
% 108.58/108.94 Bliksem ended
%------------------------------------------------------------------------------