TSTP Solution File: GRP184-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP184-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 07:35:56 EDT 2022
% Result : Unsatisfiable 104.98s 105.36s
% Output : Refutation 104.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07 % Problem : GRP184-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.07 % Command : bliksem %s
% 0.07/0.26 % Computer : n027.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % DateTime : Mon Jun 13 14:06:02 EDT 2022
% 0.07/0.26 % CPUTime :
% 104.98/105.36 *** allocated 10000 integers for termspace/termends
% 104.98/105.36 *** allocated 10000 integers for clauses
% 104.98/105.36 *** allocated 10000 integers for justifications
% 104.98/105.36 Bliksem 1.12
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Automatic Strategy Selection
% 104.98/105.36
% 104.98/105.36 Clauses:
% 104.98/105.36 [
% 104.98/105.36 [ =( multiply( identity, X ), X ) ],
% 104.98/105.36 [ =( multiply( inverse( X ), X ), identity ) ],
% 104.98/105.36 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 104.98/105.36 ],
% 104.98/105.36 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 104.98/105.36 ,
% 104.98/105.36 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 104.98/105.36 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.36 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 104.98/105.36 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 104.98/105.36 [ =( 'least_upper_bound'( X, X ), X ) ],
% 104.98/105.36 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 104.98/105.36 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 104.98/105.36 ,
% 104.98/105.36 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 104.98/105.36 ,
% 104.98/105.36 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 104.98/105.36 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 104.98/105.36 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.36 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 104.98/105.36 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 104.98/105.36 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 104.98/105.36 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 104.98/105.36 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 104.98/105.36 [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 104.98/105.36 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 104.98/105.36 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 104.98/105.36 ) ) ) ) ]
% 104.98/105.36 ] .
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 percentage equality = 1.000000, percentage horn = 1.000000
% 104.98/105.36 This is a pure equality problem
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Options Used:
% 104.98/105.36
% 104.98/105.36 useres = 1
% 104.98/105.36 useparamod = 1
% 104.98/105.36 useeqrefl = 1
% 104.98/105.36 useeqfact = 1
% 104.98/105.36 usefactor = 1
% 104.98/105.36 usesimpsplitting = 0
% 104.98/105.36 usesimpdemod = 5
% 104.98/105.36 usesimpres = 3
% 104.98/105.36
% 104.98/105.36 resimpinuse = 1000
% 104.98/105.36 resimpclauses = 20000
% 104.98/105.36 substype = eqrewr
% 104.98/105.36 backwardsubs = 1
% 104.98/105.36 selectoldest = 5
% 104.98/105.36
% 104.98/105.36 litorderings [0] = split
% 104.98/105.36 litorderings [1] = extend the termordering, first sorting on arguments
% 104.98/105.36
% 104.98/105.36 termordering = kbo
% 104.98/105.36
% 104.98/105.36 litapriori = 0
% 104.98/105.36 termapriori = 1
% 104.98/105.36 litaposteriori = 0
% 104.98/105.36 termaposteriori = 0
% 104.98/105.36 demodaposteriori = 0
% 104.98/105.36 ordereqreflfact = 0
% 104.98/105.36
% 104.98/105.36 litselect = negord
% 104.98/105.36
% 104.98/105.36 maxweight = 15
% 104.98/105.36 maxdepth = 30000
% 104.98/105.36 maxlength = 115
% 104.98/105.36 maxnrvars = 195
% 104.98/105.36 excuselevel = 1
% 104.98/105.36 increasemaxweight = 1
% 104.98/105.36
% 104.98/105.36 maxselected = 10000000
% 104.98/105.36 maxnrclauses = 10000000
% 104.98/105.36
% 104.98/105.36 showgenerated = 0
% 104.98/105.36 showkept = 0
% 104.98/105.36 showselected = 0
% 104.98/105.36 showdeleted = 0
% 104.98/105.36 showresimp = 1
% 104.98/105.36 showstatus = 2000
% 104.98/105.36
% 104.98/105.36 prologoutput = 1
% 104.98/105.36 nrgoals = 5000000
% 104.98/105.36 totalproof = 1
% 104.98/105.36
% 104.98/105.36 Symbols occurring in the translation:
% 104.98/105.36
% 104.98/105.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 104.98/105.36 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 104.98/105.36 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 104.98/105.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 104.98/105.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 104.98/105.36 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 104.98/105.36 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 104.98/105.36 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 104.98/105.36 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 104.98/105.36 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 104.98/105.36 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Starting Search:
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 25061
% 104.98/105.36 Kept: 2005
% 104.98/105.36 Inuse: 197
% 104.98/105.36 Deleted: 13
% 104.98/105.36 Deletedinuse: 8
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 106665
% 104.98/105.36 Kept: 4006
% 104.98/105.36 Inuse: 441
% 104.98/105.36 Deleted: 28
% 104.98/105.36 Deletedinuse: 8
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 171918
% 104.98/105.36 Kept: 6006
% 104.98/105.36 Inuse: 602
% 104.98/105.36 Deleted: 82
% 104.98/105.36 Deletedinuse: 34
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 297136
% 104.98/105.36 Kept: 8008
% 104.98/105.36 Inuse: 777
% 104.98/105.36 Deleted: 133
% 104.98/105.36 Deletedinuse: 80
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 664191
% 104.98/105.36 Kept: 10008
% 104.98/105.36 Inuse: 1123
% 104.98/105.36 Deleted: 190
% 104.98/105.36 Deletedinuse: 80
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 1911869
% 104.98/105.36 Kept: 12019
% 104.98/105.36 Inuse: 1719
% 104.98/105.36 Deleted: 278
% 104.98/105.36 Deletedinuse: 80
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 2130366
% 104.98/105.36 Kept: 14114
% 104.98/105.36 Inuse: 1842
% 104.98/105.36 Deleted: 303
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 2208627
% 104.98/105.36 Kept: 16156
% 104.98/105.36 Inuse: 1883
% 104.98/105.36 Deleted: 307
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 2340649
% 104.98/105.36 Kept: 18171
% 104.98/105.36 Inuse: 1948
% 104.98/105.36 Deleted: 307
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying clauses:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 2510605
% 104.98/105.36 Kept: 20190
% 104.98/105.36 Inuse: 2024
% 104.98/105.36 Deleted: 2168
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 2820600
% 104.98/105.36 Kept: 22232
% 104.98/105.36 Inuse: 2159
% 104.98/105.36 Deleted: 2168
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 3250673
% 104.98/105.36 Kept: 24238
% 104.98/105.36 Inuse: 2329
% 104.98/105.36 Deleted: 2168
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 3849379
% 104.98/105.36 Kept: 26242
% 104.98/105.36 Inuse: 2552
% 104.98/105.36 Deleted: 2171
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 4774066
% 104.98/105.36 Kept: 28260
% 104.98/105.36 Inuse: 2877
% 104.98/105.36 Deleted: 2176
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 6248791
% 104.98/105.36 Kept: 30260
% 104.98/105.36 Inuse: 3284
% 104.98/105.36 Deleted: 2200
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 8947273
% 104.98/105.36 Kept: 32264
% 104.98/105.36 Inuse: 3823
% 104.98/105.36 Deleted: 2200
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 13985803
% 104.98/105.36 Kept: 34278
% 104.98/105.36 Inuse: 4912
% 104.98/105.36 Deleted: 2240
% 104.98/105.36 Deletedinuse: 81
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 17207055
% 104.98/105.36 Kept: 36283
% 104.98/105.36 Inuse: 5555
% 104.98/105.36 Deleted: 2394
% 104.98/105.36 Deletedinuse: 217
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 Intermediate Status:
% 104.98/105.36 Generated: 25062498
% 104.98/105.36 Kept: 38284
% 104.98/105.36 Inuse: 6580
% 104.98/105.36 Deleted: 2454
% 104.98/105.36 Deletedinuse: 249
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36 Done
% 104.98/105.36
% 104.98/105.36 Resimplifying inuse:
% 104.98/105.36
% 104.98/105.36 Bliksems!, er is een bewijs:
% 104.98/105.36 % SZS status Unsatisfiable
% 104.98/105.36 % SZS output start Refutation
% 104.98/105.36
% 104.98/105.36 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 104.98/105.36 , Z ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 104.98/105.36 X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 104.98/105.36 ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 104.98/105.36 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 104.98/105.36 ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 104.98/105.36 X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 104.98/105.36 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.36 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 104.98/105.36 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.98/105.36 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 15, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 104.98/105.36 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 104.98/105.36 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 104.98/105.36 ) ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 104.98/105.36 , identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 104.98/105.36 identity ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 104.98/105.36 ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.98/105.36 X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 104.98/105.36 X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 104.98/105.36 X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 104.98/105.36 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 104.98/105.36 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 104.98/105.36 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.36 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 34, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 104.98/105.36 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.98/105.36 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 104.98/105.36 X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 104.98/105.36 X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 104.98/105.36 X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.36 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.36 'greatest_lower_bound'( Y, Z ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.36 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.36 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 104.98/105.36 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.36 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 59, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.36 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 104.98/105.36 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 62, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 104.98/105.36 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 104.98/105.36 ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 63, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 104.98/105.36 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 104.98/105.36 ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 104.98/105.36 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 104.98/105.36 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 66, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 104.98/105.36 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 104.98/105.36 multiply( Y, X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.36 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 104.98/105.36 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 104.98/105.36 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 99, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.36 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 101, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 104.98/105.36 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 104.98/105.36 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 104.98/105.36 'least_upper_bound'( identity, Y ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 104.98/105.36 'least_upper_bound'( Y, identity ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 104.98/105.36 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 104.98/105.36 , Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 104.98/105.36 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 153, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 104.98/105.36 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 104.98/105.36 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 160, [ =( inverse( identity ), identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 104.98/105.36 ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 104.98/105.36 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 172, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 104.98/105.36 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 173, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 104.98/105.36 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 104.98/105.36 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 104.98/105.36 ) ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 183, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.98/105.36 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 190, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 104.98/105.36 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 193, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 104.98/105.36 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 104.98/105.36 ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 200, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 104.98/105.36 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 104.98/105.36 )
% 104.98/105.36 .
% 104.98/105.36 clause( 202, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 104.98/105.36 ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 203, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 104.98/105.36 X, Y ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 212, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.98/105.36 inverse( X ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 226, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 104.98/105.36 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 242, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 104.98/105.36 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 249, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 104.98/105.36 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 260, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.98/105.36 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 274, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 104.98/105.36 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 289, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 104.98/105.36 'least_upper_bound'( X, Y ) ), identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 417, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.36 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 104.98/105.36 'least_upper_bound'( X, T ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 446, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 104.98/105.36 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ), Y ),
% 104.98/105.36 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 526, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 104.98/105.36 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 529, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 104.98/105.36 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 543, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 104.98/105.36 identity, Y ) ), X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 545, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 104.98/105.36 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 547, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 104.98/105.36 'least_upper_bound'( identity, X ) ) ), Y ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 556, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 104.98/105.36 Y, identity ) ), X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 589, [ =( 'least_upper_bound'( X, multiply( X,
% 104.98/105.36 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 598, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.36 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 104.98/105.36 ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 617, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.36 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 104.98/105.36 ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 751, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 104.98/105.36 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 771, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 104.98/105.36 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 782, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.36 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 802, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 104.98/105.36 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 805, [ =( multiply( inverse( Y ), 'least_upper_bound'( Y, identity
% 104.98/105.36 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 848, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 104.98/105.36 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 859, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 104.98/105.36 identity, X ), Y ) ), Y ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 929, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 104.98/105.36 identity, Y ), X ), X ), multiply( 'least_upper_bound'( identity, Y ), X
% 104.98/105.36 ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1207, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 104.98/105.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 104.98/105.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1209, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 104.98/105.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1241, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 104.98/105.36 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1262, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 104.98/105.36 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 104.98/105.36 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 104.98/105.36 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1318, [ =( multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.36 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.36 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1321, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 104.98/105.36 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.36 identity, X ) ), identity ), identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1325, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.36 identity ) ), identity ), identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1336, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 104.98/105.36 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 104.98/105.36 identity, Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1526, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 104.98/105.36 X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1546, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X )
% 104.98/105.36 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1587, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 104.98/105.36 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 1654, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 104.98/105.36 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 104.98/105.36 ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 2147, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 104.98/105.36 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 104.98/105.36 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.98/105.36 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 2167, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 104.98/105.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 2634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 104.98/105.36 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 104.98/105.36 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 104.98/105.36 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.36 inverse( X ), identity ) ), X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.36 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 104.98/105.36 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 104.98/105.36 ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4021, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 104.98/105.36 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 104.98/105.36 ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4026, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 104.98/105.36 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 104.98/105.36 Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4068, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 104.98/105.36 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 104.98/105.36 identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4155, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 104.98/105.36 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 104.98/105.36 ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 104.98/105.36 , Y ), inverse( X ) ), identity ), identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 104.98/105.36 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4806, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 104.98/105.36 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.36 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4953, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.36 inverse( X ), Y ) ), X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4963, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.36 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 4974, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.36 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 5004, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 104.98/105.36 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 5026, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 104.98/105.36 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 5052, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 104.98/105.36 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 104.98/105.36 ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 5507, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 104.98/105.36 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 104.98/105.36 inverse( X ) ) ), X ), X ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 5571, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 104.98/105.36 , inverse( Y ) ) ) ), Y ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 5591, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 104.98/105.36 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 104.98/105.36 ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12224, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 104.98/105.36 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12238, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 104.98/105.36 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12243, [ =( inverse( 'least_upper_bound'( X, inverse(
% 104.98/105.36 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 104.98/105.36 , identity ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12253, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.36 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12259, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.36 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12278, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.36 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12294, [ =( 'least_upper_bound'( inverse( multiply(
% 104.98/105.36 'least_upper_bound'( X, identity ), X ) ), identity ),
% 104.98/105.36 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12458, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.36 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 104.98/105.36 identity ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12460, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 104.98/105.36 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 104.98/105.36 ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12482, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 104.98/105.36 inverse( X ), X ) ), identity ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 12532, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 104.98/105.36 , identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 20092, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 104.98/105.36 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse( X )
% 104.98/105.36 , X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 20103, [ =( multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.36 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.36 inverse( X ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 39030, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.36 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.36 'greatest_lower_bound'( identity, X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 39047, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 104.98/105.36 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 39137, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.36 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 104.98/105.36 X ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 39140, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 104.98/105.36 ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 104.98/105.36 X ), X ) ) ] )
% 104.98/105.36 .
% 104.98/105.36 clause( 39601, [] )
% 104.98/105.36 .
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 % SZS output end Refutation
% 104.98/105.36 found a proof!
% 104.98/105.36
% 104.98/105.36 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 104.98/105.36
% 104.98/105.36 initialclauses(
% 104.98/105.36 [ clause( 39603, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.36 , clause( 39604, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.36 , clause( 39605, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.98/105.36 multiply( Y, Z ) ) ) ] )
% 104.98/105.36 , clause( 39606, [ =( 'greatest_lower_bound'( X, Y ),
% 104.98/105.36 'greatest_lower_bound'( Y, X ) ) ] )
% 104.98/105.36 , clause( 39607, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 104.98/105.36 X ) ) ] )
% 104.98/105.36 , clause( 39608, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 104.98/105.36 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 104.98/105.36 )
% 104.98/105.36 , clause( 39609, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 104.98/105.36 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 , clause( 39610, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 104.98/105.36 , clause( 39611, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 104.98/105.36 , clause( 39612, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.98/105.36 ) ), X ) ] )
% 104.98/105.36 , clause( 39613, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.98/105.36 ) ), X ) ] )
% 104.98/105.36 , clause( 39614, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.36 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.36 , clause( 39615, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.36 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.36 , clause( 39616, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.36 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.98/105.36 , clause( 39617, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 104.98/105.36 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.98/105.36 , clause( 39618, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 104.98/105.36 inverse( 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 104.98/105.36 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 104.98/105.36 ) ) ) ) ] )
% 104.98/105.36 ] ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.36 , clause( 39603, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.36 , clause( 39604, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 eqswap(
% 104.98/105.36 clause( 39624, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 104.98/105.36 , Y ), Z ) ) ] )
% 104.98/105.36 , clause( 39605, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.98/105.36 multiply( Y, Z ) ) ) ] )
% 104.98/105.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 104.98/105.36 , Z ) ) ] )
% 104.98/105.36 , clause( 39624, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 104.98/105.36 X, Y ), Z ) ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 104.98/105.36 X ) ) ] )
% 104.98/105.36 , clause( 39606, [ =( 'greatest_lower_bound'( X, Y ),
% 104.98/105.36 'greatest_lower_bound'( Y, X ) ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.36 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 104.98/105.36 ] )
% 104.98/105.36 , clause( 39607, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 104.98/105.36 X ) ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.36 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 104.98/105.36 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 , clause( 39608, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 104.98/105.36 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 104.98/105.36 )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 , clause( 39609, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 104.98/105.36 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 104.98/105.36 ) ] )
% 104.98/105.36 , clause( 39612, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.98/105.36 ) ), X ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.36 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 104.98/105.36 X ) ] )
% 104.98/105.36 , clause( 39613, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.98/105.36 ) ), X ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.36 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 eqswap(
% 104.98/105.36 clause( 39666, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.36 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.36 , clause( 39614, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.36 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 104.98/105.36 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.36 , clause( 39666, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 104.98/105.36 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 eqswap(
% 104.98/105.36 clause( 39677, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 104.98/105.36 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.36 , clause( 39615, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.36 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.36 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.36 , clause( 39677, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 104.98/105.36 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 eqswap(
% 104.98/105.36 clause( 39689, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.98/105.36 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 , clause( 39616, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.36 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.98/105.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 104.98/105.36 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 , clause( 39689, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 104.98/105.36 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 eqswap(
% 104.98/105.36 clause( 39702, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 104.98/105.36 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 , clause( 39617, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 104.98/105.36 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.98/105.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.98/105.36 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 , clause( 39702, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 104.98/105.36 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 15, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 104.98/105.36 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 104.98/105.36 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 104.98/105.36 ) ) ) ) ] )
% 104.98/105.36 , clause( 39618, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 104.98/105.36 inverse( 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 104.98/105.36 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 104.98/105.36 ) ) ) ) ] )
% 104.98/105.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 eqswap(
% 104.98/105.36 clause( 39717, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 104.98/105.36 Y, Z ) ) ) ] )
% 104.98/105.36 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.98/105.36 ), Z ) ) ] )
% 104.98/105.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 paramod(
% 104.98/105.36 clause( 39720, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 104.98/105.36 ), identity ) ] )
% 104.98/105.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.36 , 0, clause( 39717, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.98/105.36 multiply( Y, Z ) ) ) ] )
% 104.98/105.36 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 104.98/105.36 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 subsumption(
% 104.98/105.36 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 104.98/105.36 , identity ) ] )
% 104.98/105.36 , clause( 39720, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 104.98/105.36 , Y ), identity ) ] )
% 104.98/105.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.36 )] ) ).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 eqswap(
% 104.98/105.36 clause( 39726, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 104.98/105.36 Y, Z ) ) ) ] )
% 104.98/105.36 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.98/105.36 ), Z ) ) ] )
% 104.98/105.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.36
% 104.98/105.36
% 104.98/105.36 paramod(
% 104.98/105.36 clause( 39731, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 104.98/105.36 , identity ) ) ] )
% 104.98/105.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.36 , 0, clause( 39726, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.98/105.37 multiply( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 104.98/105.37 identity ) ) ] )
% 104.98/105.37 , clause( 39731, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 104.98/105.37 X, identity ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39736, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 104.98/105.37 Y, Z ) ) ) ] )
% 104.98/105.37 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.98/105.37 ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39741, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 39736, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.98/105.37 multiply( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, identity ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 104.98/105.37 ] )
% 104.98/105.37 , clause( 39741, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 104.98/105.37 Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39746, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39747, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , 0, clause( 39746, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.37 X, Y ) ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 104.98/105.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39750, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 104.98/105.37 ), X ) ] )
% 104.98/105.37 , clause( 39747, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 104.98/105.37 ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.98/105.37 X ) ] )
% 104.98/105.37 , clause( 39750, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 104.98/105.37 X ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39751, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39752, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, clause( 39751, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.37 X, Y ) ) ) ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39755, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 104.98/105.37 ), X ) ] )
% 104.98/105.37 , clause( 39752, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 104.98/105.37 , X ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 104.98/105.37 X ) ] )
% 104.98/105.37 , clause( 39755, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 104.98/105.37 ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39756, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39757, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, clause( 39756, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 104.98/105.37 , Y ), X ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39760, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 104.98/105.37 ), X ) ] )
% 104.98/105.37 , clause( 39757, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 104.98/105.37 ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 104.98/105.37 X ) ] )
% 104.98/105.37 , clause( 39760, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 104.98/105.37 X ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39762, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 104.98/105.37 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.98/105.37 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39767, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 104.98/105.37 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 104.98/105.37 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, clause( 39762, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 104.98/105.37 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 104.98/105.37 ] )
% 104.98/105.37 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 104.98/105.37 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 104.98/105.37 , clause( 39767, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 104.98/105.37 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39772, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 104.98/105.37 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.98/105.37 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39775, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 104.98/105.37 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, clause( 39772, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 104.98/105.37 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 104.98/105.37 ] )
% 104.98/105.37 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Y, Z ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 104.98/105.37 , clause( 39775, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 104.98/105.37 ), 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39780, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39783, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 104.98/105.37 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, clause( 39780, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.37 Y, X ) ) ) ] )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39784, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 104.98/105.37 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 39783, [ =( 'greatest_lower_bound'( X, Y ),
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 104.98/105.37 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 39784, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 104.98/105.37 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39786, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39787, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 104.98/105.37 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.98/105.37 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39786, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 X, Y ) ) ) ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39788, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 104.98/105.37 , clause( 39787, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 104.98/105.37 , clause( 39788, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39790, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39793, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Y ) ) ] )
% 104.98/105.37 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, clause( 39790, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 X, Y ) ) ) ] )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.37 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39794, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 39793, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Y ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 34, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 39794, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y )
% 104.98/105.37 , 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39796, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39799, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), X ) ) ] )
% 104.98/105.37 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, clause( 39796, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 X, Y ) ) ) ] )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39800, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 39799, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 39800, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 104.98/105.37 , 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39801, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39802, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , 0, clause( 39801, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 X, Y ) ) ) ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39805, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 104.98/105.37 ), X ) ] )
% 104.98/105.37 , clause( 39802, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 104.98/105.37 , X ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 104.98/105.37 X ) ] )
% 104.98/105.37 , clause( 39805, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 104.98/105.37 ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39806, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39807, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, clause( 39806, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 X, Y ) ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 104.98/105.37 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39810, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 104.98/105.37 ), X ) ] )
% 104.98/105.37 , clause( 39807, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 104.98/105.37 ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 104.98/105.37 X ) ] )
% 104.98/105.37 , clause( 39810, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 104.98/105.37 X ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39811, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39812, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, clause( 39811, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 Y, X ) ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 104.98/105.37 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39815, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 104.98/105.37 ), X ) ] )
% 104.98/105.37 , clause( 39812, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 104.98/105.37 ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 104.98/105.37 X ) ] )
% 104.98/105.37 , clause( 39815, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.98/105.37 X ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39817, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.98/105.37 , Y ) ) ] )
% 104.98/105.37 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39818, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.98/105.37 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39817, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 104.98/105.37 , Y ), Y ) ) ] )
% 104.98/105.37 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.98/105.37 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39819, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 39818, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.37 'greatest_lower_bound'( Y, Z ) ) ] )
% 104.98/105.37 , clause( 39819, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39821, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39822, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 104.98/105.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39821, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 104.98/105.37 , Y ), X ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39823, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.37 , clause( 39822, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.37 , clause( 39823, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39824, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.37 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39827, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 104.98/105.37 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, clause( 39824, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 104.98/105.37 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 104.98/105.37 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 104.98/105.37 , clause( 39827, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 104.98/105.37 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39841, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.37 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39846, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.37 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, clause( 39841, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 104.98/105.37 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39859, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 104.98/105.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39846, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 104.98/105.37 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.98/105.37 , clause( 39859, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 104.98/105.37 , 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39861, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39862, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 104.98/105.37 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.98/105.37 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39861, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 104.98/105.37 , Y ), X ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39863, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.37 , clause( 39862, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.37 , clause( 39863, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39865, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.37 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39878, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 104.98/105.37 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X,
% 104.98/105.37 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , 0, clause( 39865, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 104.98/105.37 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39880, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 104.98/105.37 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39878, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 104.98/105.37 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X,
% 104.98/105.37 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39881, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39880, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 104.98/105.37 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 59, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.98/105.37 , clause( 39881, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39886, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.37 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39887, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 104.98/105.37 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.98/105.37 ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39886, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z, T )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39889, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 104.98/105.37 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 39887, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 104.98/105.37 ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.98/105.37 T ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 62, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 104.98/105.37 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 39889, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z )
% 104.98/105.37 , multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 104.98/105.37 , T ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39892, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.37 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39894, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 104.98/105.37 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.98/105.37 ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39892, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( Z, T ) )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39896, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 104.98/105.37 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 104.98/105.37 , T ) ) ) ) ] )
% 104.98/105.37 , clause( 39894, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T )
% 104.98/105.37 ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ),
% 104.98/105.37 T ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 63, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 104.98/105.37 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 104.98/105.37 ) ] )
% 104.98/105.37 , clause( 39896, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 104.98/105.37 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 104.98/105.37 , T ) ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39897, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.37 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39899, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, clause( 39897, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39901, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 104.98/105.37 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.37 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, clause( 39899, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 104.98/105.37 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 39901, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 104.98/105.37 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39903, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.37 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39905, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 104.98/105.37 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 104.98/105.37 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.37 , 0, clause( 39903, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.98/105.37 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39908, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 104.98/105.37 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 39905, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 104.98/105.37 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 104.98/105.37 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 39908, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 104.98/105.37 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39911, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.37 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39914, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 104.98/105.37 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 104.98/105.37 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.37 , 0, clause( 39911, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.37 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39917, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 104.98/105.37 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 104.98/105.37 , clause( 39914, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 104.98/105.37 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 66, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 104.98/105.37 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 104.98/105.37 , clause( 39917, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 104.98/105.37 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39919, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39922, [ =( multiply( inverse( identity ), X ), multiply( identity
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.37 , 0, clause( 39919, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 104.98/105.37 ), Y ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 104.98/105.37 inverse( identity ) ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39923, [ =( multiply( inverse( identity ), X ), X ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 39922, [ =( multiply( inverse( identity ), X ), multiply(
% 104.98/105.37 identity, X ) ) ] )
% 104.98/105.37 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 104.98/105.37 , clause( 39923, [ =( multiply( inverse( identity ), X ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39926, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 104.98/105.37 Y, Z ) ) ) ] )
% 104.98/105.37 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.98/105.37 ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39931, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 104.98/105.37 multiply( X, Y ) ) ] )
% 104.98/105.37 , clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 104.98/105.37 , 0, clause( 39926, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.98/105.37 multiply( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 104.98/105.37 multiply( Y, X ) ) ] )
% 104.98/105.37 , clause( 39931, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 104.98/105.37 multiply( X, Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39936, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 104.98/105.37 , clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39938, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 104.98/105.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39936, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), T ) ), :=( Y, X
% 104.98/105.37 ), :=( Z, Y )] ), substitution( 1, [ :=( X, 'least_upper_bound'( X, Y )
% 104.98/105.37 ), :=( Y, Z ), :=( Z, T )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39939, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 104.98/105.37 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 39938, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 104.98/105.37 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 39939, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 104.98/105.37 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39940, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 104.98/105.37 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39942, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , 0, clause( 39940, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39944, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 104.98/105.37 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 104.98/105.37 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, clause( 39942, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 104.98/105.37 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 39944, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.37 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39945, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 104.98/105.37 , clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39947, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z,
% 104.98/105.37 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 104.98/105.37 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, clause( 39945, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 104.98/105.37 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39953, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 104.98/105.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39947, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z
% 104.98/105.37 , 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39954, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 104.98/105.37 , clause( 39953, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 99, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 104.98/105.37 , clause( 39954, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39956, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 104.98/105.37 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 104.98/105.37 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39958, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), Y ), 'greatest_lower_bound'( Y,
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 104.98/105.37 , clause( 99, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 104.98/105.37 , 0, clause( 39956, [ =( 'greatest_lower_bound'( X, Y ),
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 104.98/105.37 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 104.98/105.37 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 104.98/105.37 ), Z ) ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39959, [ =( Y, 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 104.98/105.37 , clause( 99, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 104.98/105.37 , 0, clause( 39958, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ), Y ), 'greatest_lower_bound'( Y,
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 104.98/105.37 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39961, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 104.98/105.37 , clause( 39959, [ =( Y, 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 101, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 104.98/105.37 , clause( 39961, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39963, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.98/105.37 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39965, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.98/105.37 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, clause( 39963, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39967, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 104.98/105.37 'least_upper_bound'( Y, X ), Z ) ) ] )
% 104.98/105.37 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.98/105.37 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39965, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 104.98/105.37 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 104.98/105.37 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.98/105.37 , clause( 39967, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 104.98/105.37 'least_upper_bound'( Y, X ), Z ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39969, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.98/105.37 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39970, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 104.98/105.37 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 39969, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 104.98/105.37 identity ), :=( Y, Y ), :=( Z, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39972, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 104.98/105.37 'least_upper_bound'( identity, X ), Y ) ) ] )
% 104.98/105.37 , clause( 39970, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 104.98/105.37 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 104.98/105.37 'least_upper_bound'( identity, Y ), X ) ) ] )
% 104.98/105.37 , clause( 39972, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 104.98/105.37 'least_upper_bound'( identity, X ), Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39975, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.98/105.37 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39977, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 39975, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, Y ), :=( Z, identity )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39979, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 104.98/105.37 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.98/105.37 , clause( 39977, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 104.98/105.37 'least_upper_bound'( Y, identity ), X ) ) ] )
% 104.98/105.37 , clause( 39979, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 104.98/105.37 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39981, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 104.98/105.37 identity ) ), Y ) ) ] )
% 104.98/105.37 , clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 104.98/105.37 multiply( Y, X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39984, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 104.98/105.37 identity, X ) ) ] )
% 104.98/105.37 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.37 , 0, clause( 39981, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 104.98/105.37 identity ) ), Y ) ) ] )
% 104.98/105.37 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 104.98/105.37 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39985, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 39984, [ =( multiply( inverse( inverse( identity ) ), X ),
% 104.98/105.37 multiply( identity, X ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 104.98/105.37 , clause( 39985, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 104.98/105.37 )
% 104.98/105.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39988, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 104.98/105.37 , clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39989, [ =( multiply( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 104.98/105.37 ), multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 104.98/105.37 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39988, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.98/105.37 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( Z, Y ) ),
% 104.98/105.37 :=( Z, T )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39990, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 104.98/105.37 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 104.98/105.37 , Y ) ) ] )
% 104.98/105.37 , clause( 39989, [ =( multiply( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 104.98/105.37 ), multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 104.98/105.37 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 104.98/105.37 , Y ) ) ] )
% 104.98/105.37 , clause( 39990, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 104.98/105.37 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 104.98/105.37 , Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39991, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 104.98/105.37 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39993, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.98/105.37 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , 0, clause( 39991, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39995, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 104.98/105.37 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 104.98/105.37 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 104.98/105.37 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 39993, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 104.98/105.37 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 104.98/105.37 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 104.98/105.37 , clause( 39995, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 104.98/105.37 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 39997, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 104.98/105.37 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 39998, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 104.98/105.37 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 39997, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 104.98/105.37 identity ), :=( Y, Y ), :=( Z, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40000, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 104.98/105.37 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 104.98/105.37 , clause( 39998, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 104.98/105.37 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 153, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 104.98/105.37 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 104.98/105.37 , clause( 40000, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 104.98/105.37 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40003, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 104.98/105.37 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40005, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 40003, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, Y ), :=( Z, identity )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40007, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 104.98/105.37 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 104.98/105.37 , clause( 40005, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 104.98/105.37 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 104.98/105.37 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 104.98/105.37 , clause( 40007, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 104.98/105.37 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40008, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 104.98/105.37 , clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40010, [ =( inverse( identity ), identity ) ] )
% 104.98/105.37 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.37 , 0, clause( 40008, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 104.98/105.37 ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 104.98/105.37 , [ :=( X, inverse( identity ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 160, [ =( inverse( identity ), identity ) ] )
% 104.98/105.37 , clause( 40010, [ =( inverse( identity ), identity ) ] )
% 104.98/105.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40013, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 104.98/105.37 Y ) ), Y ) ) ] )
% 104.98/105.37 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 104.98/105.37 , identity ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40016, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 104.98/105.37 identity, X ) ) ] )
% 104.98/105.37 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.37 , 0, clause( 40013, [ =( multiply( X, identity ), multiply( multiply( X,
% 104.98/105.37 inverse( Y ) ), Y ) ) ] )
% 104.98/105.37 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 104.98/105.37 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40017, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 40016, [ =( multiply( inverse( inverse( X ) ), identity ),
% 104.98/105.37 multiply( identity, X ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.98/105.37 , clause( 40017, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 104.98/105.37 )
% 104.98/105.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40020, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40023, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.98/105.37 , 0, clause( 40020, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 104.98/105.37 ), Y ) ) ] )
% 104.98/105.37 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.98/105.37 inverse( X ) ) ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 104.98/105.37 ) ] )
% 104.98/105.37 , clause( 40023, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 104.98/105.37 Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40030, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.37 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40033, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 104.98/105.37 identity, Y ) ), 'least_upper_bound'( X, multiply( inverse( inverse( X )
% 104.98/105.37 ), Y ) ) ) ] )
% 104.98/105.37 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.98/105.37 , 0, clause( 40030, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.98/105.37 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40043, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 104.98/105.37 identity, Y ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40033, [ =( multiply( inverse( inverse( X ) ),
% 104.98/105.37 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply(
% 104.98/105.37 inverse( inverse( X ) ), Y ) ) ) ] )
% 104.98/105.37 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40045, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.37 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40043, [ =( multiply( inverse( inverse( X ) ),
% 104.98/105.37 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply( X
% 104.98/105.37 , Y ) ) ) ] )
% 104.98/105.37 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 104.98/105.37 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40046, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.98/105.37 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , clause( 40045, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.37 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 104.98/105.37 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , clause( 40046, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 104.98/105.37 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40048, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.37 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40052, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 104.98/105.37 Y, identity ) ), 'least_upper_bound'( multiply( inverse( inverse( X ) ),
% 104.98/105.37 Y ), X ) ) ] )
% 104.98/105.37 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.98/105.37 , 0, clause( 40048, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.37 inverse( inverse( X ) ) ), :=( Y, Y ), :=( Z, identity )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40054, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 104.98/105.37 Y, identity ) ), 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 104.98/105.37 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40052, [ =( multiply( inverse( inverse( X ) ),
% 104.98/105.37 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( multiply(
% 104.98/105.37 inverse( inverse( X ) ), Y ), X ) ) ] )
% 104.98/105.37 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40056, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 104.98/105.37 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40054, [ =( multiply( inverse( inverse( X ) ),
% 104.98/105.37 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( multiply( X, Y
% 104.98/105.37 ), X ) ) ] )
% 104.98/105.37 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y,
% 104.98/105.37 identity ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40057, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 104.98/105.37 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.37 , clause( 40056, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 172, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 104.98/105.37 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.37 , clause( 40057, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 104.98/105.37 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40058, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 104.98/105.37 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 104.98/105.37 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'( a,
% 104.98/105.37 identity ) ) ) ) ) ] )
% 104.98/105.37 , clause( 15, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 104.98/105.37 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 104.98/105.37 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 104.98/105.37 ) ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40060, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 104.98/105.37 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 104.98/105.37 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 104.98/105.37 identity, a ) ) ) ) ) ] )
% 104.98/105.37 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , 0, clause( 40058, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 104.98/105.37 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 104.98/105.37 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'( a,
% 104.98/105.37 identity ) ) ) ) ) ] )
% 104.98/105.37 , 0, 15, substitution( 0, [ :=( X, a ), :=( Y, identity )] ),
% 104.98/105.37 substitution( 1, [] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40061, [ ~( =( multiply( inverse( 'greatest_lower_bound'( identity
% 104.98/105.37 , a ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 104.98/105.37 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 104.98/105.37 identity, a ) ) ) ) ) ] )
% 104.98/105.37 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , 0, clause( 40060, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 104.98/105.37 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 104.98/105.37 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 104.98/105.37 identity, a ) ) ) ) ) ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 104.98/105.37 1, [] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40064, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 104.98/105.37 inverse( 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 104.98/105.37 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 104.98/105.37 ) ) ) ) ] )
% 104.98/105.37 , clause( 40061, [ ~( =( multiply( inverse( 'greatest_lower_bound'(
% 104.98/105.37 identity, a ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 104.98/105.37 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 104.98/105.37 identity, a ) ) ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 173, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 104.98/105.37 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 104.98/105.37 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 104.98/105.37 ) ) ) ) ] )
% 104.98/105.37 , clause( 40064, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 104.98/105.37 inverse( 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 104.98/105.37 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 104.98/105.37 ) ) ) ) ] )
% 104.98/105.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40067, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40070, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.37 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.98/105.37 , 0, clause( 40067, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 104.98/105.37 ), Y ) ) ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, identity )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.37 , clause( 40070, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40075, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40078, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.37 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.37 , 0, clause( 40075, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 104.98/105.37 ), Y ) ) ] )
% 104.98/105.37 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, inverse( X ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.37 , clause( 40078, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40081, [ =( X, multiply( X, identity ) ) ] )
% 104.98/105.37 , clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40084, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 104.98/105.37 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40081, [ =( X, multiply( X, identity ) ) ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 104.98/105.37 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40085, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.37 , clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.37 , 0, clause( 40084, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 104.98/105.37 ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.37 , clause( 40085, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40088, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 104.98/105.37 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40089, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.37 , 0, clause( 40088, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, identity ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40091, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.98/105.37 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , clause( 40089, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 104.98/105.37 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 183, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.98/105.37 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , clause( 40091, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 104.98/105.37 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40094, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 104.98/105.37 Y ) ), Y ) ) ] )
% 104.98/105.37 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 104.98/105.37 , identity ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40096, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 104.98/105.37 inverse( Y ) ) ) ] )
% 104.98/105.37 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.37 , 0, clause( 40094, [ =( multiply( X, identity ), multiply( multiply( X,
% 104.98/105.37 inverse( Y ) ), Y ) ) ] )
% 104.98/105.37 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, inverse( Y ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40097, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.98/105.37 , clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.37 , 0, clause( 40096, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 104.98/105.37 ), inverse( Y ) ) ) ] )
% 104.98/105.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40098, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 104.98/105.37 , clause( 40097, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.37 , clause( 40098, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40100, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 104.98/105.37 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40101, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 104.98/105.37 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.37 , 0, clause( 40100, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.37 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 190, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 104.98/105.37 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 40101, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y
% 104.98/105.37 ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40106, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.98/105.37 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40108, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 104.98/105.37 , clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.37 , 0, clause( 40106, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.98/105.37 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 193, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 104.98/105.37 , clause( 40108, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) )
% 104.98/105.37 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40112, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.98/105.37 , clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40117, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 104.98/105.37 identity, inverse( Y ) ) ) ] )
% 104.98/105.37 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 104.98/105.37 ), identity ) ] )
% 104.98/105.37 , 0, clause( 40112, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 104.98/105.37 )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40118, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 40117, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 104.98/105.37 multiply( identity, inverse( Y ) ) ) ] )
% 104.98/105.37 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 104.98/105.37 ) ] )
% 104.98/105.37 , clause( 40118, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 104.98/105.37 Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40121, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.98/105.37 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40123, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 104.98/105.37 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 104.98/105.37 )
% 104.98/105.37 , clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.37 , 0, clause( 40121, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 200, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 104.98/105.37 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 104.98/105.37 )
% 104.98/105.37 , clause( 40123, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 104.98/105.37 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 104.98/105.37 ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40126, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40130, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 104.98/105.37 inverse( multiply( X, Y ) ) ) ) ] )
% 104.98/105.37 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40126, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 104.98/105.37 ), X ) ) ] )
% 104.98/105.37 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40131, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40130, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 104.98/105.37 inverse( multiply( X, Y ) ) ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 104.98/105.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40132, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 40131, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 202, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , clause( 40132, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 104.98/105.37 X ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40134, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.98/105.37 , clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40137, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 104.98/105.37 inverse( X ) ) ) ] )
% 104.98/105.37 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40134, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 104.98/105.37 )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40138, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 104.98/105.37 multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 40137, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 104.98/105.37 inverse( X ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 203, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 104.98/105.37 X, Y ) ) ) ] )
% 104.98/105.37 , clause( 40138, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 104.98/105.37 multiply( X, Y ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40140, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 202, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40145, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.98/105.37 inverse( multiply( X, identity ) ) ) ) ] )
% 104.98/105.37 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 104.98/105.37 , identity ) ) ] )
% 104.98/105.37 , 0, clause( 40140, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 104.98/105.37 ) ) ) ) ] )
% 104.98/105.37 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.37 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40146, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.98/105.37 inverse( X ) ) ) ] )
% 104.98/105.37 , clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.37 , 0, clause( 40145, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 104.98/105.37 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 104.98/105.37 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 212, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.98/105.37 inverse( X ) ) ) ] )
% 104.98/105.37 , clause( 40146, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.98/105.37 inverse( X ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40148, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 202, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40151, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 104.98/105.37 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 104.98/105.37 , clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 104.98/105.37 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 104.98/105.37 , 0, clause( 40148, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 104.98/105.37 ) ) ) ) ] )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.98/105.37 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40154, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 104.98/105.37 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.98/105.37 , clause( 202, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40151, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.37 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 104.98/105.37 ] )
% 104.98/105.37 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 104.98/105.37 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 226, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 40154, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 104.98/105.37 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40155, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 104.98/105.37 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 104.98/105.37 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40158, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 104.98/105.37 Y, 'greatest_lower_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ) ] )
% 104.98/105.37 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , 0, clause( 40155, [ =( 'greatest_lower_bound'( X, Z ),
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 104.98/105.37 , Z ) ), Z ) ) ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X,
% 104.98/105.37 'least_upper_bound'( Z, Y ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 104.98/105.37 , X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40171, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( Y, X ), 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.98/105.37 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, clause( 40158, [ =( 'greatest_lower_bound'( X, Y ),
% 104.98/105.37 'greatest_lower_bound'( Y, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.37 Z, Y ) ) ) ) ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 104.98/105.37 'least_upper_bound'( Z, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 104.98/105.37 ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40172, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 104.98/105.37 , 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 40171, [ =( 'greatest_lower_bound'( X, Y ),
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 104.98/105.37 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 242, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 104.98/105.37 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 104.98/105.37 , clause( 40172, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 104.98/105.37 ), 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40173, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 104.98/105.37 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40174, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 104.98/105.37 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 226, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , 0, clause( 40173, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.37 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40177, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 104.98/105.37 , clause( 40174, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 104.98/105.37 Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 249, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 104.98/105.37 , clause( 40177, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40179, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40182, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 242, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X )
% 104.98/105.37 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 104.98/105.37 , 0, clause( 40179, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 104.98/105.37 , Y ), X ) ) ] )
% 104.98/105.37 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 104.98/105.37 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 104.98/105.37 'least_upper_bound'( Z, X ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40183, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 40182, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 260, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 40183, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40184, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 202, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40187, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 104.98/105.37 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 104.98/105.37 , clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 104.98/105.37 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.98/105.37 , 0, clause( 40184, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 104.98/105.37 ) ) ) ) ] )
% 104.98/105.37 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.98/105.37 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40190, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 104.98/105.37 'least_upper_bound'( Y, X ) ) ) ] )
% 104.98/105.37 , clause( 202, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40187, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 104.98/105.37 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 104.98/105.37 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 104.98/105.37 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 274, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 40190, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 104.98/105.37 'least_upper_bound'( Y, X ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40191, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 104.98/105.37 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40192, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 104.98/105.37 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 274, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , 0, clause( 40191, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.37 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40195, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 104.98/105.37 'least_upper_bound'( Y, X ) ), identity ) ] )
% 104.98/105.37 , clause( 40192, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 104.98/105.37 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 289, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ), identity ) ] )
% 104.98/105.37 , clause( 40195, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 104.98/105.37 'least_upper_bound'( Y, X ) ), identity ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40197, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40213, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 104.98/105.37 'least_upper_bound'( X, T ) ) ] )
% 104.98/105.37 , clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 104.98/105.37 , 0, clause( 40197, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 104.98/105.37 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.37 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 104.98/105.37 'greatest_lower_bound'( X, Y ), Z ) ), :=( Z, T )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 417, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 104.98/105.37 'least_upper_bound'( X, T ) ) ] )
% 104.98/105.37 , clause( 40213, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.37 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 104.98/105.37 'least_upper_bound'( X, T ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40218, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40219, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, 'greatest_lower_bound'( Z, 'least_upper_bound'( X
% 104.98/105.37 , Y ) ) ), Y ) ) ] )
% 104.98/105.37 , clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 104.98/105.37 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.98/105.37 , 0, clause( 40218, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.37 Y, X ) ) ) ] )
% 104.98/105.37 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( Z,
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ), :=( Y, Y ), :=( Z, X )] ),
% 104.98/105.37 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40222, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 104.98/105.37 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ), Y ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 40219, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, 'greatest_lower_bound'( Z, 'least_upper_bound'( X
% 104.98/105.37 , Y ) ) ), Y ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 446, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 104.98/105.37 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ), Y ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , clause( 40222, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 104.98/105.37 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ), Y ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40223, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 183, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.98/105.37 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40224, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.98/105.37 , clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40225, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 104.98/105.37 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 104.98/105.37 , clause( 40223, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 104.98/105.37 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, clause( 40224, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 104.98/105.37 )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, 'greatest_lower_bound'( identity, Y ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40226, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 104.98/105.37 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 104.98/105.37 , clause( 40225, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 526, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 104.98/105.37 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 104.98/105.37 , clause( 40226, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 104.98/105.37 ), inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40228, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 183, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.98/105.37 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40247, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 104.98/105.37 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( multiply(
% 104.98/105.37 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 104.98/105.37 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 104.98/105.37 ), identity ) ] )
% 104.98/105.37 , 0, clause( 40228, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 104.98/105.37 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40249, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 104.98/105.37 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( inverse(
% 104.98/105.37 Y ), identity ) ) ] )
% 104.98/105.37 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40247, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 104.98/105.37 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 104.98/105.37 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 104.98/105.37 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40250, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 104.98/105.37 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.37 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40249, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 104.98/105.37 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 104.98/105.37 inverse( Y ), identity ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 529, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 104.98/105.37 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.37 , clause( 40250, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 104.98/105.37 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40255, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.98/105.37 , X ) ) ] )
% 104.98/105.37 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40256, [ =( X, 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 104.98/105.37 , clause( 183, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.98/105.37 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , 0, clause( 40255, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 104.98/105.37 , Y ), X ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40257, [ =( 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 104.98/105.37 , clause( 40256, [ =( X, 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 543, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 104.98/105.37 identity, Y ) ), X ), X ) ] )
% 104.98/105.37 , clause( 40257, [ =( 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40259, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 183, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.98/105.37 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40261, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 104.98/105.37 multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, clause( 40259, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 104.98/105.37 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 104.98/105.37 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40262, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.37 , 0, clause( 40261, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 104.98/105.37 , multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40263, [ =( 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.37 , clause( 40262, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 545, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 104.98/105.37 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 104.98/105.37 , clause( 40263, [ =( 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40265, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 104.98/105.37 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 183, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.98/105.37 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40267, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 104.98/105.37 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 104.98/105.37 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.98/105.37 , X ) ] )
% 104.98/105.37 , 0, clause( 40265, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 104.98/105.37 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 104.98/105.37 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity, Y ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40268, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 104.98/105.37 , clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.37 , 0, clause( 40267, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 104.98/105.37 , multiply( X, 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 104.98/105.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40269, [ =( 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 'least_upper_bound'( identity, Y ) ) ), X ) ] )
% 104.98/105.37 , clause( 40268, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 547, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 104.98/105.37 'least_upper_bound'( identity, X ) ) ), Y ) ] )
% 104.98/105.37 , clause( 40269, [ =( 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 'least_upper_bound'( identity, Y ) ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40270, [ =( X, 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 104.98/105.37 , clause( 543, [ =( 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40271, [ =( X, 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 104.98/105.37 , clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 104.98/105.37 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, clause( 40270, [ =( X, 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40274, [ =( 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 104.98/105.37 , clause( 40271, [ =( X, 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 556, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 104.98/105.37 Y, identity ) ), X ), X ) ] )
% 104.98/105.37 , clause( 40274, [ =( 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40276, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), X ) ) ] )
% 104.98/105.37 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40278, [ =( 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 104.98/105.37 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , clause( 556, [ =( 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 104.98/105.37 , 0, clause( 40276, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.37 'least_upper_bound'( X, Y ), X ) ) ] )
% 104.98/105.37 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, multiply( X, 'greatest_lower_bound'( Y, identity ) ) ), :=( Y, X )] )
% 104.98/105.37 ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40279, [ =( X, 'least_upper_bound'( X, multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , clause( 556, [ =( 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 104.98/105.37 , 0, clause( 40278, [ =( 'least_upper_bound'( multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 104.98/105.37 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40281, [ =( 'least_upper_bound'( X, multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.37 , clause( 40279, [ =( X, 'least_upper_bound'( X, multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 589, [ =( 'least_upper_bound'( X, multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.37 , clause( 40281, [ =( 'least_upper_bound'( X, multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40284, [ =( X, 'least_upper_bound'( X, multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , clause( 589, [ =( 'least_upper_bound'( X, multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40285, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.37 identity ) ) ] )
% 104.98/105.37 , clause( 249, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 104.98/105.37 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 104.98/105.37 , 0, clause( 40284, [ =( X, 'least_upper_bound'( X, multiply( X,
% 104.98/105.37 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 104.98/105.37 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 104.98/105.37 ) ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40286, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.37 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 40285, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.37 identity ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 598, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.37 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 40286, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.37 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40288, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , clause( 545, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 104.98/105.37 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40289, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 104.98/105.37 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 104.98/105.37 identity ) ) ] )
% 104.98/105.37 , clause( 289, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 104.98/105.37 'least_upper_bound'( X, Y ) ), identity ) ] )
% 104.98/105.37 , 0, clause( 40288, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.37 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 104.98/105.37 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 104.98/105.37 , :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40290, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.37 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 40289, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 104.98/105.37 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 104.98/105.37 identity ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 617, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.37 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , clause( 40290, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.37 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40291, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.37 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.98/105.37 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40292, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.98/105.37 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.37 , clause( 40291, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.37 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 104.98/105.37 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.98/105.37 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 751, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 104.98/105.37 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.37 , clause( 40292, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 104.98/105.37 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40295, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.37 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.98/105.37 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40314, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 104.98/105.37 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 104.98/105.37 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 104.98/105.37 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 104.98/105.37 ), identity ) ] )
% 104.98/105.37 , 0, clause( 40295, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 104.98/105.37 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40316, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 104.98/105.37 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y ),
% 104.98/105.37 identity ) ) ] )
% 104.98/105.37 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40314, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 104.98/105.37 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 104.98/105.37 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 104.98/105.37 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40317, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 104.98/105.37 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.37 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40316, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 104.98/105.37 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y
% 104.98/105.37 ), identity ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 771, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 104.98/105.37 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.37 , clause( 40317, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity
% 104.98/105.37 , Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40321, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.37 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.98/105.37 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40323, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 104.98/105.37 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.37 ) ] )
% 104.98/105.37 , 0, clause( 40321, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 104.98/105.37 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 104.98/105.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 782, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 104.98/105.37 , clause( 40323, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.37 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40330, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 104.98/105.37 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 751, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.98/105.37 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40331, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.98/105.37 , clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40332, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 104.98/105.37 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , clause( 40330, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 104.98/105.37 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, clause( 40331, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 104.98/105.37 )
% 104.98/105.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40333, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 104.98/105.37 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.37 , clause( 40332, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y )
% 104.98/105.37 ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 802, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 104.98/105.37 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.37 , clause( 40333, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 104.98/105.37 , inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40335, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 104.98/105.37 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , clause( 751, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.98/105.37 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40354, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 104.98/105.37 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( multiply(
% 104.98/105.37 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 104.98/105.37 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 104.98/105.37 ), identity ) ] )
% 104.98/105.37 , 0, clause( 40335, [ =( multiply( X, 'least_upper_bound'( Y, identity ) )
% 104.98/105.37 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.98/105.37 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40356, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 104.98/105.37 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( inverse( Y ),
% 104.98/105.37 identity ) ) ] )
% 104.98/105.37 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40354, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 104.98/105.37 ), 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( multiply(
% 104.98/105.37 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 104.98/105.37 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40357, [ =( multiply( inverse( Y ), 'least_upper_bound'( Y,
% 104.98/105.37 identity ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.37 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, clause( 40356, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 104.98/105.37 ), 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( inverse( Y
% 104.98/105.37 ), identity ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 805, [ =( multiply( inverse( Y ), 'least_upper_bound'( Y, identity
% 104.98/105.37 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.37 , clause( 40357, [ =( multiply( inverse( Y ), 'least_upper_bound'( Y,
% 104.98/105.37 identity ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40362, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 104.98/105.37 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 104.98/105.37 , clause( 172, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 104.98/105.37 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.37 , 0, clause( 274, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 104.98/105.37 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.37 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 848, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 104.98/105.37 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 104.98/105.37 , clause( 40362, [ =( inverse( multiply( X, 'least_upper_bound'( Y,
% 104.98/105.37 identity ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ]
% 104.98/105.37 )
% 104.98/105.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40365, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 104.98/105.37 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.37 , clause( 153, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 104.98/105.37 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40370, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y,
% 104.98/105.37 multiply( multiply( identity, 'least_upper_bound'( identity, X ) ), Y ) )
% 104.98/105.37 ) ] )
% 104.98/105.37 , clause( 547, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 104.98/105.37 'least_upper_bound'( identity, X ) ) ), Y ) ] )
% 104.98/105.37 , 0, clause( 40365, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 104.98/105.37 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 104.98/105.37 1, [ :=( X, Y ), :=( Y, multiply( identity, 'least_upper_bound'( identity
% 104.98/105.37 , X ) ) )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40373, [ =( multiply( identity, X ), 'greatest_lower_bound'( X,
% 104.98/105.37 multiply( 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 40370, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y
% 104.98/105.37 , multiply( multiply( identity, 'least_upper_bound'( identity, X ) ), Y )
% 104.98/105.37 ) ) ] )
% 104.98/105.37 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( identity, Y ) )] ),
% 104.98/105.37 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 paramod(
% 104.98/105.37 clause( 40375, [ =( X, 'greatest_lower_bound'( X, multiply(
% 104.98/105.37 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 104.98/105.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.37 , 0, clause( 40373, [ =( multiply( identity, X ), 'greatest_lower_bound'( X
% 104.98/105.37 , multiply( 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 104.98/105.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.37 :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40376, [ =( 'greatest_lower_bound'( X, multiply(
% 104.98/105.37 'least_upper_bound'( identity, Y ), X ) ), X ) ] )
% 104.98/105.37 , clause( 40375, [ =( X, 'greatest_lower_bound'( X, multiply(
% 104.98/105.37 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 104.98/105.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 subsumption(
% 104.98/105.37 clause( 859, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 104.98/105.37 identity, X ), Y ) ), Y ) ] )
% 104.98/105.37 , clause( 40376, [ =( 'greatest_lower_bound'( X, multiply(
% 104.98/105.37 'least_upper_bound'( identity, Y ), X ) ), X ) ] )
% 104.98/105.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.37 )] ) ).
% 104.98/105.37
% 104.98/105.37
% 104.98/105.37 eqswap(
% 104.98/105.37 clause( 40378, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 104.98/105.37 ) ) ) ] )
% 104.98/105.37 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 104.98/105.38 , X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40381, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 104.98/105.38 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), Y ), Y
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 859, [ =( 'greatest_lower_bound'( Y, multiply(
% 104.98/105.38 'least_upper_bound'( identity, X ), Y ) ), Y ) ] )
% 104.98/105.38 , 0, clause( 40378, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.38 Y, X ) ) ) ] )
% 104.98/105.38 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.38 :=( X, multiply( 'least_upper_bound'( identity, X ), Y ) ), :=( Y, Y )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40382, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 104.98/105.38 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 40381, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 104.98/105.38 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), Y ), Y
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 929, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 104.98/105.38 identity, Y ), X ), X ), multiply( 'least_upper_bound'( identity, Y ), X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 40382, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 104.98/105.38 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40383, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 104.98/105.38 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 104.98/105.38 'least_upper_bound'( identity, Y ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40404, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 104.98/105.38 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 104.98/105.38 , clause( 751, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.98/105.38 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.38 , 0, clause( 40383, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 104.98/105.38 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, X ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40406, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 104.98/105.38 , clause( 40404, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 104.98/105.38 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1207, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 104.98/105.38 , clause( 40406, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40408, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 104.98/105.38 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 104.98/105.38 'least_upper_bound'( identity, Y ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40421, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply( identity,
% 104.98/105.38 X ), Y ) ) ) ] )
% 104.98/105.38 , clause( 751, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.98/105.38 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.38 , 0, clause( 40408, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 104.98/105.38 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 104.98/105.38 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40424, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 104.98/105.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.38 , 0, clause( 40421, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 104.98/105.38 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply(
% 104.98/105.38 identity, X ), Y ) ) ) ] )
% 104.98/105.38 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40426, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 104.98/105.38 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 104.98/105.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.38 , 0, clause( 40424, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 104.98/105.38 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 104.98/105.38 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40427, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.98/105.38 , clause( 40426, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 104.98/105.38 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.98/105.38 , clause( 40427, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40428, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 104.98/105.38 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 104.98/105.38 'least_upper_bound'( identity, Y ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40449, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 104.98/105.38 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.98/105.38 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.38 , 0, clause( 40428, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 104.98/105.38 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, X ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40451, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 104.98/105.38 , clause( 40449, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 104.98/105.38 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1209, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 104.98/105.38 , clause( 40451, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40452, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 104.98/105.38 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 104.98/105.38 'least_upper_bound'( identity, Y ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40454, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 104.98/105.38 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 104.98/105.38 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.98/105.38 ) ] )
% 104.98/105.38 , 0, clause( 40452, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 104.98/105.38 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 104.98/105.38 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1241, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 104.98/105.38 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 104.98/105.38 , clause( 40454, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 104.98/105.38 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40462, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ),
% 104.98/105.38 X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 104.98/105.38 , clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.98/105.38 , 0, clause( 274, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 104.98/105.38 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1262, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 104.98/105.38 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 104.98/105.38 , clause( 40462, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 104.98/105.38 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40465, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 104.98/105.38 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40469, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.38 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.38 , 0, clause( 40465, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 104.98/105.38 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 inverse( X ) ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 104.98/105.38 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , clause( 40469, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.38 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40472, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 104.98/105.38 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 104.98/105.38 , clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 104.98/105.38 'least_upper_bound'( Y, identity ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40473, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40474, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 104.98/105.38 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.38 , clause( 40472, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 104.98/105.38 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 104.98/105.38 , 0, clause( 40473, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 104.98/105.38 ), X ) ) ] )
% 104.98/105.38 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40475, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 104.98/105.38 ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 104.98/105.38 , clause( 40474, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 104.98/105.38 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 104.98/105.38 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 104.98/105.38 , clause( 40475, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 104.98/105.38 X ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40477, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 104.98/105.38 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.38 , clause( 782, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.38 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40481, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ), 'least_upper_bound'( X, identity ) ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ) ] )
% 104.98/105.38 , clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.38 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , 0, clause( 40477, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 104.98/105.38 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 'least_upper_bound'( X, identity ) ), :=( Y, inverse( X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40482, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ), identity ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ) ] )
% 104.98/105.38 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.38 , 0, clause( 40481, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 104.98/105.38 X ), identity ), 'least_upper_bound'( X, identity ) ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ), :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X
% 104.98/105.38 , X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40483, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ), X ), multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 104.98/105.38 , clause( 59, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.98/105.38 , 0, clause( 40482, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ), identity ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, inverse( X
% 104.98/105.38 ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40484, [ =( multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 104.98/105.38 , clause( 40483, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X
% 104.98/105.38 ), identity ), X ), multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1318, [ =( multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 104.98/105.38 , clause( 40484, [ =( multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40486, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40488, [ =( inverse( inverse( X ) ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'( X,
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.38 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , 0, clause( 40486, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 104.98/105.38 ), X ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 'least_upper_bound'( X, identity ) ), :=( Y, inverse( X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40489, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40488, [ =( inverse( inverse( X ) ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'( X,
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40490, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 104.98/105.38 , clause( 40489, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X
% 104.98/105.38 ), identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1321, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 104.98/105.38 , clause( 40490, [ =( multiply( inverse( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40492, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 104.98/105.38 , clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.38 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40494, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), identity ), multiply( 'least_upper_bound'( identity, X )
% 104.98/105.38 , inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 104.98/105.38 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.98/105.38 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.38 , 0, clause( 40492, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 104.98/105.38 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 104.98/105.38 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 104.98/105.38 1, [ :=( X, 'least_upper_bound'( identity, X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40495, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), identity ), identity ) ] )
% 104.98/105.38 , clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.38 , 0, clause( 40494, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), identity ), multiply( 'least_upper_bound'( identity, X )
% 104.98/105.38 , inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 104.98/105.38 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 104.98/105.38 substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), identity ), identity ) ] )
% 104.98/105.38 , clause( 40495, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), identity ), identity ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40498, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 104.98/105.38 , clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.38 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40500, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), identity ), multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.38 inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 104.98/105.38 , clause( 34, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 104.98/105.38 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.38 , 0, clause( 40498, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 104.98/105.38 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 104.98/105.38 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 104.98/105.38 1, [ :=( X, 'least_upper_bound'( X, identity ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40501, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), identity ), identity ) ] )
% 104.98/105.38 , clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.38 , 0, clause( 40500, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 X, identity ) ), identity ), multiply( 'least_upper_bound'( X, identity )
% 104.98/105.38 , inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 104.98/105.38 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 104.98/105.38 substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1325, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), identity ), identity ) ] )
% 104.98/105.38 , clause( 40501, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 104.98/105.38 , identity ) ), identity ), identity ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40504, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.38 , clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40505, [ =( 'least_upper_bound'( identity, Y ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( Y, inverse( 'least_upper_bound'( identity, X ) ) ),
% 104.98/105.38 identity ) ) ] )
% 104.98/105.38 , clause( 1324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), identity ), identity ) ] )
% 104.98/105.38 , 0, clause( 40504, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 104.98/105.38 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 104.98/105.38 :=( Y, inverse( 'least_upper_bound'( identity, X ) ) ), :=( Z, identity )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40507, [ =( 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, Y ) ) ), identity ), 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ] )
% 104.98/105.38 , clause( 40505, [ =( 'least_upper_bound'( identity, Y ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), identity ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1336, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 104.98/105.38 identity, Y ) ) ] )
% 104.98/105.38 , clause( 40507, [ =( 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, Y ) ) ), identity ), 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40510, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.98/105.38 , clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40511, [ =( X, multiply( multiply( 'least_upper_bound'( identity, X
% 104.98/105.38 ), X ), inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 104.98/105.38 , clause( 1207, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 104.98/105.38 , 0, clause( 40510, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 104.98/105.38 )
% 104.98/105.38 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40512, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 104.98/105.38 , X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 104.98/105.38 , clause( 40511, [ =( X, multiply( multiply( 'least_upper_bound'( identity
% 104.98/105.38 , X ), X ), inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1526, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 104.98/105.38 X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 104.98/105.38 , clause( 40512, [ =( multiply( multiply( 'least_upper_bound'( identity, X
% 104.98/105.38 ), X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40514, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 104.98/105.38 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , clause( 62, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 104.98/105.38 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40518, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 104.98/105.38 ), Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ), multiply( X
% 104.98/105.38 , Z ) ) ) ] )
% 104.98/105.38 , clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.38 , 0, clause( 40514, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 104.98/105.38 , T ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 104.98/105.38 X, T ) ) ) ] )
% 104.98/105.38 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, inverse( X ) ), :=( Z, Y ), :=( T, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40520, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 104.98/105.38 ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 104.98/105.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.38 , 0, clause( 40518, [ =( multiply( X, 'least_upper_bound'( multiply(
% 104.98/105.38 inverse( X ), Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ),
% 104.98/105.38 multiply( X, Z ) ) ) ] )
% 104.98/105.38 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1546, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X )
% 104.98/105.38 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 104.98/105.38 , clause( 40520, [ =( multiply( X, 'least_upper_bound'( multiply( inverse(
% 104.98/105.38 X ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40523, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 104.98/105.38 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , clause( 63, [ =( 'least_upper_bound'( multiply( X, T ), multiply(
% 104.98/105.38 multiply( X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y
% 104.98/105.38 , Z ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40528, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 104.98/105.38 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 104.98/105.38 multiply( identity, Z ) ) ) ] )
% 104.98/105.38 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.98/105.38 , 0, clause( 40523, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z,
% 104.98/105.38 T ) ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z
% 104.98/105.38 ), T ) ) ) ] )
% 104.98/105.38 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 inverse( X ) ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40529, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 104.98/105.38 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.38 , 0, clause( 40528, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 104.98/105.38 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 104.98/105.38 multiply( identity, Z ) ) ) ] )
% 104.98/105.38 , 0, 14, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1587, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 104.98/105.38 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 104.98/105.38 , clause( 40529, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 104.98/105.38 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40531, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 104.98/105.38 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 104.98/105.38 , clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 104.98/105.38 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40532, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.98/105.38 , clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40533, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 104.98/105.38 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 104.98/105.38 ] )
% 104.98/105.38 , clause( 40531, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 104.98/105.38 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 104.98/105.38 , 0, clause( 40532, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 104.98/105.38 )
% 104.98/105.38 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.38 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40534, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 104.98/105.38 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 40533, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 104.98/105.38 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 104.98/105.38 ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 1654, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 104.98/105.38 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 40534, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 104.98/105.38 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40536, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 104.98/105.38 'least_upper_bound'( identity, X ), Y ) ) ] )
% 104.98/105.38 , clause( 1241, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 104.98/105.38 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40540, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ), 'least_upper_bound'( X, identity ) ), multiply(
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , clause( 805, [ =( multiply( inverse( Y ), 'least_upper_bound'( Y,
% 104.98/105.38 identity ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.38 , 0, clause( 40536, [ =( 'least_upper_bound'( multiply( X, Y ), Y ),
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), Y ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, identity ) )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40541, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ), identity ), multiply(
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.38 , 0, clause( 40540, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse(
% 104.98/105.38 X ), identity ), 'least_upper_bound'( X, identity ) ), multiply(
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ), :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X
% 104.98/105.38 , X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40542, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ), X ), multiply( 'least_upper_bound'( identity, inverse( X )
% 104.98/105.38 ), 'least_upper_bound'( X, identity ) ) ) ] )
% 104.98/105.38 , clause( 59, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.98/105.38 , 0, clause( 40541, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ), identity ), multiply(
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, inverse( X
% 104.98/105.38 ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40543, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 104.98/105.38 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 104.98/105.38 , clause( 40542, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X
% 104.98/105.38 ), identity ), X ), multiply( 'least_upper_bound'( identity, inverse( X
% 104.98/105.38 ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 2147, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 104.98/105.38 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 104.98/105.38 , clause( 40543, [ =( multiply( 'least_upper_bound'( identity, inverse( X )
% 104.98/105.38 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40545, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 202, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40547, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 104.98/105.38 identity, X ), inverse( 'least_upper_bound'( inverse( X ), identity ) ) )
% 104.98/105.38 ) ] )
% 104.98/105.38 , clause( 771, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 104.98/105.38 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.38 , 0, clause( 40545, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 104.98/105.38 ) ) ) ) ] )
% 104.98/105.38 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40548, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 104.98/105.38 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40547, [ =( inverse( inverse( X ) ), multiply(
% 104.98/105.38 'least_upper_bound'( identity, X ), inverse( 'least_upper_bound'( inverse(
% 104.98/105.38 X ), identity ) ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40549, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , clause( 40548, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 104.98/105.38 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , clause( 40549, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40551, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 202, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40553, [ =( inverse( inverse( X ) ), multiply(
% 104.98/105.38 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 104.98/105.38 inverse( X ), identity ) ) ) ) ] )
% 104.98/105.38 , clause( 529, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 104.98/105.38 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.38 , 0, clause( 40551, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 104.98/105.38 ) ) ) ) ] )
% 104.98/105.38 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40554, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40553, [ =( inverse( inverse( X ) ), multiply(
% 104.98/105.38 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 104.98/105.38 inverse( X ), identity ) ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40555, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , clause( 40554, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 2167, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , clause( 40555, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40557, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 104.98/105.38 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.38 , clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 104.98/105.38 'greatest_lower_bound'( Y, Z ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40560, [ =( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , clause( 617, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, clause( 40557, [ =( 'greatest_lower_bound'( Y, Z ),
% 104.98/105.38 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 104.98/105.38 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40565, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 104.98/105.38 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 104.98/105.38 , clause( 40560, [ =( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 2634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 104.98/105.38 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 104.98/105.38 , clause( 40565, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 104.98/105.38 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40567, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 104.98/105.38 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 104.98/105.38 , clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 104.98/105.38 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40572, [ =( multiply( 'greatest_lower_bound'(
% 104.98/105.38 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.98/105.38 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 104.98/105.38 , identity ) ) ) ) ] )
% 104.98/105.38 , clause( 2167, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40567, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 104.98/105.38 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 104.98/105.38 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40573, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.98/105.38 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 104.98/105.38 , identity ) ) ) ) ] )
% 104.98/105.38 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 104.98/105.38 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.38 , 0, clause( 40572, [ =( multiply( 'greatest_lower_bound'(
% 104.98/105.38 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.98/105.38 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 104.98/105.38 , identity ) ) ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 104.98/105.38 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40574, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.98/105.38 , clause( 2167, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40573, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.98/105.38 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 104.98/105.38 , identity ) ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40575, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , clause( 40574, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , clause( 40575, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40577, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.38 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 104.98/105.38 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40579, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.98/105.38 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 104.98/105.38 , clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40577, [ =( 'greatest_lower_bound'( X, Y ),
% 104.98/105.38 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 104.98/105.38 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.98/105.38 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.98/105.38 :=( Z, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40580, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 104.98/105.38 , clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40579, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.98/105.38 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40582, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 104.98/105.38 , clause( 40580, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 104.98/105.38 , clause( 40582, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 104.98/105.38 )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40585, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 104.98/105.38 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40591, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 inverse( X ), identity ) ), X ) ) ] )
% 104.98/105.38 , clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40585, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 104.98/105.38 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 104.98/105.38 , 0, 18, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), :=( Y,
% 104.98/105.38 'least_upper_bound'( identity, X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40592, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ), 'least_upper_bound'(
% 104.98/105.38 inverse( 'least_upper_bound'( inverse( X ), identity ) ), X ) ) ] )
% 104.98/105.38 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.98/105.38 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.38 , 0, clause( 40591, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 inverse( X ), identity ) ), X ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 104.98/105.38 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40593, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 inverse( X ), identity ) ), X ) ) ] )
% 104.98/105.38 , clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40592, [ =( multiply( 'least_upper_bound'( identity, X ),
% 104.98/105.38 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ),
% 104.98/105.38 'least_upper_bound'( inverse( 'least_upper_bound'( inverse( X ), identity
% 104.98/105.38 ) ), X ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40594, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 inverse( X ), identity ) ), X ), X ) ] )
% 104.98/105.38 , clause( 40593, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 inverse( X ), identity ) ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 inverse( X ), identity ) ), X ), X ) ] )
% 104.98/105.38 , clause( 40594, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 inverse( X ), identity ) ), X ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40596, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 inverse( X ), identity ) ), X ) ) ] )
% 104.98/105.38 , clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 inverse( X ), identity ) ), X ), X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40597, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( X, identity ) ), inverse( X ) ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40596, [ =( X, 'least_upper_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ), X ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.98/105.38 X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40598, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.38 , clause( 40597, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( X, identity ) ), inverse( X ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.38 , clause( 40598, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 104.98/105.38 , identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40600, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.98/105.38 , X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40601, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 inverse( X ) ) ) ] )
% 104.98/105.38 , clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.38 , 0, clause( 40600, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.38 X, Y ) ) ) ] )
% 104.98/105.38 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 inverse( 'least_upper_bound'( X, identity ) ) ), :=( Y, inverse( X ) )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40602, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 104.98/105.38 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , clause( 40601, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 inverse( X ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 104.98/105.38 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , clause( 40602, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 X, identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40604, [ =( multiply( X, Z ), 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), Z ), T
% 104.98/105.38 ), multiply( X, Z ) ) ) ] )
% 104.98/105.38 , clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 104.98/105.38 , Y ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40606, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 104.98/105.38 X ) ), Z ), identity ) ) ] )
% 104.98/105.38 , clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.38 , 0, clause( 40604, [ =( multiply( X, Z ), 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), Z ), T
% 104.98/105.38 ), multiply( X, Z ) ) ) ] )
% 104.98/105.38 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, Y ), :=( Z, inverse( X ) ), :=( T, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40608, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.38 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 104.98/105.38 ) ] )
% 104.98/105.38 , clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.38 , 0, clause( 40606, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 104.98/105.38 X ) ), Z ), identity ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40610, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 104.98/105.38 ) ] )
% 104.98/105.38 , clause( 40608, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.38 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 104.98/105.38 ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4021, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 104.98/105.38 ) ] )
% 104.98/105.38 , clause( 40610, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 104.98/105.38 ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40614, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 104.98/105.38 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.38 , clause( 802, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 104.98/105.38 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40617, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 104.98/105.38 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 104.98/105.38 identity ) ) ) ) ] )
% 104.98/105.38 , clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.38 , 0, clause( 40614, [ =( X, multiply( 'least_upper_bound'( X, multiply( X,
% 104.98/105.38 Y ) ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.38 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40618, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 104.98/105.38 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 104.98/105.38 Y ) ) ] )
% 104.98/105.38 , clause( 40617, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 104.98/105.38 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 104.98/105.38 identity ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4026, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 104.98/105.38 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 104.98/105.38 Y ) ) ] )
% 104.98/105.38 , clause( 40618, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X )
% 104.98/105.38 , inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X
% 104.98/105.38 , Y ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40620, [ =( 'greatest_lower_bound'( identity, multiply( X, Y ) ),
% 104.98/105.38 multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 104.98/105.38 , clause( 190, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 104.98/105.38 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40622, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 104.98/105.38 multiply( X, inverse( X ) ) ) ] )
% 104.98/105.38 , clause( 101, [ =( 'greatest_lower_bound'( Y, 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( X, Y ), Z ) ), Y ) ] )
% 104.98/105.38 , 0, clause( 40620, [ =( 'greatest_lower_bound'( identity, multiply( X, Y )
% 104.98/105.38 ), multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 104.98/105.38 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) ), :=( Z, Z )] )
% 104.98/105.38 , substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( Y, inverse( X ) ), Z ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40623, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 104.98/105.38 identity ) ] )
% 104.98/105.38 , clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.38 , 0, clause( 40622, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 104.98/105.38 multiply( X, inverse( X ) ) ) ] )
% 104.98/105.38 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4068, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 104.98/105.38 identity ) ] )
% 104.98/105.38 , clause( 40623, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 104.98/105.38 identity ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.98/105.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40626, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 196, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40629, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 104.98/105.38 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 193, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 104.98/105.38 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 104.98/105.38 , 0, clause( 40626, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 104.98/105.38 ), X ) ) ] )
% 104.98/105.38 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, Y ), :=( Y, 'least_upper_bound'( X, inverse( Y ) ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40630, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 104.98/105.38 ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 104.98/105.38 ) ] )
% 104.98/105.38 , clause( 40629, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 104.98/105.38 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4155, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 104.98/105.38 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 104.98/105.38 ] )
% 104.98/105.38 , clause( 40630, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 104.98/105.38 X ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 104.98/105.38 ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40632, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 104.98/105.38 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 104.98/105.38 ) ] )
% 104.98/105.38 , clause( 4021, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 104.98/105.38 ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40633, [ =( identity, 'least_upper_bound'( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 104.98/105.38 , clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 104.98/105.38 )
% 104.98/105.38 , 0, clause( 40632, [ =( identity, 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 104.98/105.38 X ) ), Z ), identity ) ) ] )
% 104.98/105.38 , 0, 3, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'( X, Y )
% 104.98/105.38 , inverse( X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 104.98/105.38 Y ), :=( Z, 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse(
% 104.98/105.38 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) )
% 104.98/105.38 , Z ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40635, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 104.98/105.38 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 104.98/105.38 , clause( 40633, [ =( identity, 'least_upper_bound'( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 104.98/105.38 , Y ), inverse( X ) ), identity ), identity ) ] )
% 104.98/105.38 , clause( 40635, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 104.98/105.38 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40638, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 inverse( X ) ) ) ] )
% 104.98/105.38 , clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 X, identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40643, [ =( inverse( 'least_upper_bound'( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ),
% 104.98/105.38 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 104.98/105.38 , clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 104.98/105.38 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 104.98/105.38 , 0, clause( 40638, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 inverse( X ) ) ) ] )
% 104.98/105.38 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.38 :=( X, multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40644, [ =( inverse( identity ), 'greatest_lower_bound'( inverse(
% 104.98/105.38 identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 104.98/105.38 ) ) ) ) ) ] )
% 104.98/105.38 , clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 104.98/105.38 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 104.98/105.38 , 0, clause( 40643, [ =( inverse( 'least_upper_bound'( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ),
% 104.98/105.38 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.38 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40649, [ =( inverse( identity ), 'greatest_lower_bound'( identity,
% 104.98/105.38 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 104.98/105.38 )
% 104.98/105.38 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 104.98/105.38 , 0, clause( 40644, [ =( inverse( identity ), 'greatest_lower_bound'(
% 104.98/105.38 inverse( identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ),
% 104.98/105.38 inverse( X ) ) ) ) ) ] )
% 104.98/105.38 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40650, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 104.98/105.38 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 104.98/105.38 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 104.98/105.38 , 0, clause( 40649, [ =( inverse( identity ), 'greatest_lower_bound'(
% 104.98/105.38 identity, inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 104.98/105.38 ) ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40653, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 104.98/105.38 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 104.98/105.38 , clause( 212, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.98/105.38 inverse( X ) ) ) ] )
% 104.98/105.38 , 0, clause( 40650, [ =( identity, 'greatest_lower_bound'( identity,
% 104.98/105.38 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 104.98/105.38 )
% 104.98/105.38 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 104.98/105.38 X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40654, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 104.98/105.38 , clause( 40653, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 104.98/105.38 X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 104.98/105.38 , clause( 40654, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 104.98/105.38 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40656, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 104.98/105.38 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 104.98/105.38 , clause( 526, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 104.98/105.38 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40661, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 104.98/105.38 multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 104.98/105.38 , 0, clause( 40656, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.98/105.38 X, Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 104.98/105.38 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 104.98/105.38 :=( X, X ), :=( Y, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) )
% 104.98/105.38 ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40662, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.98/105.38 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.98/105.38 ), Z ) ) ] )
% 104.98/105.38 , 0, clause( 40661, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.98/105.38 X, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40663, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.98/105.38 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 104.98/105.38 , 0, clause( 40662, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.98/105.38 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 104.98/105.38 :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40664, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 104.98/105.38 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 104.98/105.38 , clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.38 , 0, clause( 40663, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.98/105.38 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, multiply(
% 104.98/105.38 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) )] ),
% 104.98/105.38 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40665, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 104.98/105.38 , clause( 40664, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X,
% 104.98/105.38 Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4806, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 104.98/105.38 , clause( 40665, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y )
% 104.98/105.38 , inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.98/105.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40667, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 104.98/105.38 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 104.98/105.38 , clause( 4806, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X )
% 104.98/105.38 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40669, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 104.98/105.38 , clause( 181, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.98/105.38 , 0, clause( 40667, [ =( X, 'greatest_lower_bound'( X, multiply( multiply(
% 104.98/105.38 X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 104.98/105.38 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40670, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 104.98/105.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.38 , 0, clause( 40669, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 104.98/105.38 , 0, 4, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( inverse(
% 104.98/105.38 X ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40671, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.98/105.38 , clause( 40670, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.98/105.38 , clause( 40671, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40673, [ =( 'greatest_lower_bound'( Y, X ), 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.98/105.38 , clause( 260, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40677, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 inverse( X ), Y ) ), X ), 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.38 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ) ] )
% 104.98/105.38 , clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40673, [ =( 'greatest_lower_bound'( Y, X ),
% 104.98/105.38 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 104.98/105.38 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.98/105.38 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.38 :=( X, X ), :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40679, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 inverse( X ), Y ) ), X ), X ) ] )
% 104.98/105.38 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 104.98/105.38 , X ) ] )
% 104.98/105.38 , 0, clause( 40677, [ =( 'greatest_lower_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ), X ), 'least_upper_bound'( X
% 104.98/105.38 , 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( inverse( X ),
% 104.98/105.38 Y ) ), X ) ) ) ] )
% 104.98/105.38 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ) )] ), substitution( 1, [ :=(
% 104.98/105.38 X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4953, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 inverse( X ), Y ) ), X ), X ) ] )
% 104.98/105.38 , clause( 40679, [ =( 'greatest_lower_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40681, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 104.98/105.38 , clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40682, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 104.98/105.38 , clause( 226, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.38 , 0, clause( 40681, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 104.98/105.38 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 104.98/105.38 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40688, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 104.98/105.38 , clause( 40682, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4963, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 104.98/105.38 , clause( 40688, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40692, [ =( X, 'greatest_lower_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 104.98/105.38 , clause( 4953, [ =( 'greatest_lower_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40693, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40692, [ =( X, 'greatest_lower_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.98/105.38 X ) ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40694, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.38 , clause( 40693, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 4974, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.38 , clause( 40694, [ =( 'greatest_lower_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40696, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 104.98/105.38 , clause( 4963, [ =( 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40697, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40696, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 104.98/105.38 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.98/105.38 X ) ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40698, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 104.98/105.38 , clause( 40697, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 104.98/105.38 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 5004, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 104.98/105.38 , clause( 40698, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40700, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 104.98/105.38 , X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40701, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 104.98/105.38 Y ) ) ) ] )
% 104.98/105.38 , clause( 5004, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 104.98/105.38 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 104.98/105.38 , 0, clause( 40700, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.98/105.38 Y, X ) ) ) ] )
% 104.98/105.38 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40702, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 104.98/105.38 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.98/105.38 , clause( 40701, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 104.98/105.38 Y ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 5026, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 104.98/105.38 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.98/105.38 , clause( 40702, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 104.98/105.38 )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40704, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.98/105.38 , X ) ) ] )
% 104.98/105.38 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 104.98/105.38 , X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40705, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.38 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 104.98/105.38 ) ) ) ) ] )
% 104.98/105.38 , clause( 4974, [ =( 'greatest_lower_bound'( inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.38 , 0, clause( 40704, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 104.98/105.38 , Y ), X ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.38 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( X ) )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40706, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , clause( 40705, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.38 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 104.98/105.38 ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 5052, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , clause( 40706, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40708, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.38 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 104.98/105.38 ) ) ) ) ] )
% 104.98/105.38 , clause( 5052, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 104.98/105.38 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40712, [ =( inverse( 'greatest_lower_bound'( 'least_upper_bound'( X
% 104.98/105.38 , Y ), Y ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y ) )
% 104.98/105.38 , inverse( Y ) ) ) ] )
% 104.98/105.38 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 104.98/105.38 , X ) ] )
% 104.98/105.38 , 0, clause( 40708, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.98/105.38 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 104.98/105.38 ) ) ) ) ] )
% 104.98/105.38 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40713, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 104.98/105.38 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 104.98/105.38 , X ) ] )
% 104.98/105.38 , 0, clause( 40712, [ =( inverse( 'greatest_lower_bound'(
% 104.98/105.38 'least_upper_bound'( X, Y ), Y ) ), 'least_upper_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40715, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 104.98/105.38 ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.38 , clause( 40713, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 5507, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 104.98/105.38 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 104.98/105.38 , clause( 40715, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 104.98/105.38 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40718, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 104.98/105.38 , clause( 5507, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 Y ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40720, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40718, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 104.98/105.38 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 104.98/105.38 :=( Y, inverse( X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40721, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 104.98/105.38 , inverse( X ) ) ), X ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40720, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 104.98/105.38 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40723, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 104.98/105.38 inverse( X ) ) ), X ), X ) ] )
% 104.98/105.38 , clause( 40721, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 Y, inverse( X ) ) ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 104.98/105.38 inverse( X ) ) ), X ), X ) ] )
% 104.98/105.38 , clause( 40723, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 104.98/105.38 , inverse( X ) ) ), X ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40726, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 104.98/105.38 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 104.98/105.38 , clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 104.98/105.38 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40730, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 inverse( Y ) ) ), Y ), 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 104.98/105.38 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 104.98/105.38 , clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 104.98/105.38 inverse( X ) ) ), X ), X ) ] )
% 104.98/105.38 , 0, clause( 40726, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 104.98/105.38 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 104.98/105.38 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y ),
% 104.98/105.38 :=( Z, Z ), :=( T, T )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40731, [ =( Y, 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 104.98/105.38 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 104.98/105.38 , clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 104.98/105.38 inverse( X ) ) ), X ), X ) ] )
% 104.98/105.38 , 0, clause( 40730, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 X, inverse( Y ) ) ), Y ), 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 104.98/105.38 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40734, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 T, inverse( X ) ) ) ) ) ] )
% 104.98/105.38 , clause( 417, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 104.98/105.38 'least_upper_bound'( X, T ) ) ] )
% 104.98/105.38 , 0, clause( 40731, [ =( Y, 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 104.98/105.38 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 104.98/105.38 inverse( 'least_upper_bound'( T, inverse( X ) ) ) )] ), substitution( 1
% 104.98/105.38 , [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40735, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 104.98/105.38 , inverse( X ) ) ) ), X ) ] )
% 104.98/105.38 , clause( 40734, [ =( X, 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( T, inverse( X ) ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 5571, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 104.98/105.38 , inverse( Y ) ) ) ), Y ) ] )
% 104.98/105.38 , clause( 40735, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 Y, inverse( X ) ) ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40737, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.98/105.38 , X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40738, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 104.98/105.38 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 104.98/105.38 , Y ) ) ] )
% 104.98/105.38 , clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 104.98/105.38 inverse( X ) ) ), X ), X ) ] )
% 104.98/105.38 , 0, clause( 40737, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.98/105.38 X, Y ) ) ) ] )
% 104.98/105.38 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40739, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 104.98/105.38 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 40738, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 104.98/105.38 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 104.98/105.38 , Y ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 5591, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 104.98/105.38 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 40739, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40741, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 104.98/105.38 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 104.98/105.38 , clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 104.98/105.38 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40744, [ =( inverse( inverse( X ) ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 104.98/105.38 Y, X ), identity ) ) ) ] )
% 104.98/105.38 , clause( 185, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.98/105.38 , 0, clause( 40741, [ =( inverse( Y ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.38 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40745, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 104.98/105.38 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40744, [ =( inverse( inverse( X ) ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 104.98/105.38 Y, X ), identity ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40746, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 104.98/105.38 ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 104.98/105.38 , clause( 40745, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 104.98/105.38 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12224, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 104.98/105.38 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 104.98/105.38 , clause( 40746, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 104.98/105.38 ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40748, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 104.98/105.38 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.38 , clause( 782, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.98/105.38 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40755, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 104.98/105.38 , inverse( Y ) ) ) ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 104.98/105.38 Y ) ) ), 'least_upper_bound'( identity, 'least_upper_bound'( multiply( X
% 104.98/105.38 , Y ), identity ) ) ) ) ] )
% 104.98/105.38 , clause( 12224, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 104.98/105.38 ) ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 104.98/105.38 , 0, clause( 40748, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 104.98/105.38 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.98/105.38 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y,
% 104.98/105.38 'least_upper_bound'( multiply( X, Y ), identity ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40756, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 104.98/105.38 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 104.98/105.38 X ) ) ), 'least_upper_bound'( 'least_upper_bound'( identity, multiply( Y
% 104.98/105.38 , X ) ), identity ) ) ) ] )
% 104.98/105.38 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.38 , 0, clause( 40755, [ =( 'least_upper_bound'( Y, inverse(
% 104.98/105.38 'least_upper_bound'( X, inverse( Y ) ) ) ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( X, inverse( Y ) ) ), 'least_upper_bound'( identity,
% 104.98/105.38 'least_upper_bound'( multiply( X, Y ), identity ) ) ) ) ] )
% 104.98/105.38 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) ),
% 104.98/105.38 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40757, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 104.98/105.38 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 104.98/105.38 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 104.98/105.38 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.98/105.38 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.38 , 0, clause( 40756, [ =( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( identity, multiply( Y, X ) ), identity ) ) ) ] )
% 104.98/105.38 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) )] )
% 104.98/105.38 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40758, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 104.98/105.38 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 104.98/105.38 , clause( 5571, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 104.98/105.38 X, inverse( Y ) ) ) ), Y ) ] )
% 104.98/105.38 , 0, clause( 40757, [ =( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( identity,
% 104.98/105.38 multiply( Y, X ) ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40759, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 104.98/105.38 ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 104.98/105.38 , clause( 40758, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 104.98/105.38 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12238, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 104.98/105.38 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 104.98/105.38 , clause( 40759, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 104.98/105.38 ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.98/105.38 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40761, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 104.98/105.38 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 104.98/105.38 , clause( 12238, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 104.98/105.38 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40766, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 104.98/105.38 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 104.98/105.38 ), X ), inverse( inverse( 'least_upper_bound'( X, identity ) ) ) ) ),
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , clause( 1526, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 104.98/105.38 , X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40761, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 104.98/105.38 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 104.98/105.38 )
% 104.98/105.38 , 0, 20, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), X ) ), :=( Y, inverse(
% 104.98/105.38 'least_upper_bound'( X, identity ) ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40767, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 104.98/105.38 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 104.98/105.38 ), X ), 'least_upper_bound'( X, identity ) ) ), 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40766, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 104.98/105.38 identity, X ), X ), inverse( inverse( 'least_upper_bound'( X, identity )
% 104.98/105.38 ) ) ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , 0, 13, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] )
% 104.98/105.38 , substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40768, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 104.98/105.38 inverse( 'least_upper_bound'( 'least_upper_bound'( multiply(
% 104.98/105.38 'least_upper_bound'( identity, X ), X ), X ), identity ) ),
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.38 , 0, clause( 40767, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 104.98/105.38 identity, X ), X ), 'least_upper_bound'( X, identity ) ) ),
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , 0, 7, substitution( 0, [ :=( X, multiply( 'least_upper_bound'( identity,
% 104.98/105.38 X ), X ) ), :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X, X
% 104.98/105.38 )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40769, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 104.98/105.38 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 104.98/105.38 ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , clause( 929, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 104.98/105.38 identity, Y ), X ), X ), multiply( 'least_upper_bound'( identity, Y ), X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, clause( 40768, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 multiply( inverse( 'least_upper_bound'( 'least_upper_bound'( multiply(
% 104.98/105.38 'least_upper_bound'( identity, X ), X ), X ), identity ) ),
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40770, [ =( inverse( 'least_upper_bound'( X, identity ) ), inverse(
% 104.98/105.38 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )
% 104.98/105.38 ) ] )
% 104.98/105.38 , clause( 4155, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 104.98/105.38 ), identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 104.98/105.38 ) ] )
% 104.98/105.38 , 0, clause( 40769, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 104.98/105.38 identity, X ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) )
% 104.98/105.38 ] )
% 104.98/105.38 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 104.98/105.38 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40771, [ =( inverse( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 104.98/105.38 , identity ) ) ) ] )
% 104.98/105.38 , clause( 40770, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 inverse( 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity,
% 104.98/105.38 X ) ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12243, [ =( inverse( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 104.98/105.38 , identity ) ) ) ] )
% 104.98/105.38 , clause( 40771, [ =( inverse( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 104.98/105.38 , identity ) ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40773, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 104.98/105.38 , clause( 1321, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40778, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), multiply( inverse( 'least_upper_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( X, identity ) ), identity ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , clause( 12243, [ =( inverse( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 104.98/105.38 , identity ) ) ) ] )
% 104.98/105.38 , 0, clause( 40773, [ =( X, multiply( inverse( 'least_upper_bound'( inverse(
% 104.98/105.38 X ), identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 104.98/105.38 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40779, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), multiply( inverse( identity ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , clause( 1325, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), identity ), identity ) ] )
% 104.98/105.38 , 0, clause( 40778, [ =( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 identity ) ), 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ), identity ) ) ) ] )
% 104.98/105.38 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40780, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), multiply( identity, 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 104.98/105.38 identity ) ) ) ] )
% 104.98/105.38 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 104.98/105.38 , 0, clause( 40779, [ =( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ), multiply( inverse( identity ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), identity ) ) ) ] )
% 104.98/105.38 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40781, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ), identity ) ) ] )
% 104.98/105.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.38 , 0, clause( 40780, [ =( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ), multiply( identity,
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), identity ) ) ) ] )
% 104.98/105.38 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( 'least_upper_bound'(
% 104.98/105.38 X, inverse( 'least_upper_bound'( identity, X ) ) ), identity ) )] ),
% 104.98/105.38 substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40782, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , clause( 1336, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 104.98/105.38 identity, Y ) ) ] )
% 104.98/105.38 , 0, clause( 40781, [ =( 'least_upper_bound'( X, inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 104.98/105.38 identity ) ) ] )
% 104.98/105.38 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12253, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , clause( 40782, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40785, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 104.98/105.38 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 104.98/105.38 , clause( 12238, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 104.98/105.38 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40789, [ =( 'least_upper_bound'( identity, X ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity,
% 104.98/105.38 multiply( X, 'least_upper_bound'( identity, X ) ) ) ) ) ] )
% 104.98/105.38 , clause( 12253, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , 0, clause( 40785, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 104.98/105.38 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 104.98/105.38 )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, 'least_upper_bound'( identity, X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40790, [ =( 'least_upper_bound'( identity, X ), multiply( inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity,
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), X ) ) ) ) ] )
% 104.98/105.38 , clause( 1209, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 104.98/105.38 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 104.98/105.38 , 0, clause( 40789, [ =( 'least_upper_bound'( identity, X ), multiply(
% 104.98/105.38 inverse( 'least_upper_bound'( identity, X ) ), 'least_upper_bound'(
% 104.98/105.38 identity, multiply( X, 'least_upper_bound'( identity, X ) ) ) ) ) ] )
% 104.98/105.38 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40791, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 104.98/105.38 multiply( inverse( 'least_upper_bound'( identity, X ) ), identity ), X )
% 104.98/105.38 ) ] )
% 104.98/105.38 , clause( 1587, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 104.98/105.38 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, clause( 40790, [ =( 'least_upper_bound'( identity, X ), multiply(
% 104.98/105.38 inverse( 'least_upper_bound'( identity, X ) ), 'least_upper_bound'(
% 104.98/105.38 identity, multiply( 'least_upper_bound'( identity, X ), X ) ) ) ) ] )
% 104.98/105.38 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 104.98/105.38 :=( Y, identity ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40792, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 104.98/105.38 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 104.98/105.38 , clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.38 , 0, clause( 40791, [ =( 'least_upper_bound'( identity, X ),
% 104.98/105.38 'least_upper_bound'( multiply( inverse( 'least_upper_bound'( identity, X
% 104.98/105.38 ) ), identity ), X ) ) ] )
% 104.98/105.38 , 0, 5, substitution( 0, [ :=( X, inverse( 'least_upper_bound'( identity, X
% 104.98/105.38 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40793, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , clause( 40792, [ =( 'least_upper_bound'( identity, X ),
% 104.98/105.38 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 104.98/105.38 ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12259, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , clause( 40793, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40794, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ),
% 104.98/105.38 inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.38 , clause( 848, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 104.98/105.38 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40795, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 104.98/105.38 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 104.98/105.38 , clause( 12259, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40798, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 104.98/105.38 ), 'least_upper_bound'( inverse( multiply( identity, 'least_upper_bound'(
% 104.98/105.38 X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 104.98/105.38 , clause( 40794, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) )
% 104.98/105.38 , inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.98/105.38 , 0, clause( 40795, [ =( 'least_upper_bound'( identity, X ),
% 104.98/105.38 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 104.98/105.38 ] )
% 104.98/105.38 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 104.98/105.38 1, [ :=( X, multiply( identity, X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40801, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 104.98/105.38 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 multiply( identity, X ) ) ) ] )
% 104.98/105.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.38 , 0, clause( 40798, [ =( 'least_upper_bound'( identity, multiply( identity
% 104.98/105.38 , X ) ), 'least_upper_bound'( inverse( multiply( identity,
% 104.98/105.38 'least_upper_bound'( X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 104.98/105.38 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 104.98/105.38 substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40807, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 104.98/105.38 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.38 , 0, clause( 40801, [ =( 'least_upper_bound'( identity, multiply( identity
% 104.98/105.38 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 104.98/105.38 ), multiply( identity, X ) ) ) ] )
% 104.98/105.38 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40808, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 104.98/105.38 inverse( 'least_upper_bound'( X, identity ) ), X ) ) ] )
% 104.98/105.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.38 , 0, clause( 40807, [ =( 'least_upper_bound'( identity, multiply( identity
% 104.98/105.38 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 104.98/105.38 ), X ) ) ] )
% 104.98/105.38 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40810, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , clause( 40808, [ =( 'least_upper_bound'( identity, X ),
% 104.98/105.38 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X ) )
% 104.98/105.38 ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12278, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.98/105.38 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , clause( 40810, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 104.98/105.38 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40813, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 104.98/105.38 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 104.98/105.38 , clause( 66, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 104.98/105.38 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40817, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 104.98/105.38 X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 104.98/105.38 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 104.98/105.38 , clause( 12278, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 104.98/105.38 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 104.98/105.38 , 0, clause( 40813, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X
% 104.98/105.38 ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 104.98/105.38 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.98/105.38 :=( Y, inverse( 'least_upper_bound'( X, identity ) ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40818, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 104.98/105.38 X ) ), 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X,
% 104.98/105.38 identity ), X ) ), identity ) ) ] )
% 104.98/105.38 , clause( 203, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 104.98/105.38 multiply( X, Y ) ) ) ] )
% 104.98/105.38 , 0, clause( 40817, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 104.98/105.38 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 104.98/105.38 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) ),
% 104.98/105.38 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40819, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 104.98/105.38 ), X ) ), identity ) ) ] )
% 104.98/105.38 , clause( 771, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 104.98/105.38 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.98/105.38 , 0, clause( 40818, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), 'least_upper_bound'( inverse( multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), X ) ), identity ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40820, [ =( 'least_upper_bound'( inverse( multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), X ) ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , clause( 40819, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 104.98/105.38 ), X ) ), identity ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12294, [ =( 'least_upper_bound'( inverse( multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), X ) ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , clause( 40820, [ =( 'least_upper_bound'( inverse( multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), X ) ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40822, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 104.98/105.38 ), X ) ), identity ) ) ] )
% 104.98/105.38 , clause( 12294, [ =( 'least_upper_bound'( inverse( multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), X ) ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40830, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 104.98/105.38 ), identity ) ) ] )
% 104.98/105.38 , clause( 1262, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 104.98/105.38 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 104.98/105.38 , 0, clause( 40822, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 104.98/105.38 ), X ) ), identity ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40834, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ) ] )
% 104.98/105.38 , clause( 40830, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 104.98/105.38 ), identity ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12458, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ) ] )
% 104.98/105.38 , clause( 40834, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40836, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 104.98/105.38 ), X ) ), identity ) ) ] )
% 104.98/105.38 , clause( 12294, [ =( 'least_upper_bound'( inverse( multiply(
% 104.98/105.38 'least_upper_bound'( X, identity ), X ) ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40842, [ =( 'least_upper_bound'( inverse( inverse(
% 104.98/105.38 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 104.98/105.38 identity ) ) ] )
% 104.98/105.38 , clause( 12458, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ) ] )
% 104.98/105.38 , 0, clause( 40836, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 104.98/105.38 ), X ) ), identity ) ) ] )
% 104.98/105.38 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 inverse( 'least_upper_bound'( multiply( X, X ), X ) ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40843, [ =( 'least_upper_bound'( inverse( inverse(
% 104.98/105.38 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 104.98/105.38 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 104.98/105.38 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 104.98/105.38 ) ] )
% 104.98/105.38 , clause( 212, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.98/105.38 inverse( X ) ) ) ] )
% 104.98/105.38 , 0, clause( 40842, [ =( 'least_upper_bound'( inverse( inverse(
% 104.98/105.38 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 104.98/105.38 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 104.98/105.38 identity ) ) ] )
% 104.98/105.38 , 0, 11, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( X ),
% 104.98/105.38 identity ) ), :=( Y, 'least_upper_bound'( multiply( X, X ), X ) )] ),
% 104.98/105.38 substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40844, [ =( 'least_upper_bound'( inverse( inverse(
% 104.98/105.38 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 104.98/105.38 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 104.98/105.38 , clause( 4026, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 104.98/105.38 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 104.98/105.38 Y ) ) ] )
% 104.98/105.38 , 0, clause( 40843, [ =( 'least_upper_bound'( inverse( inverse(
% 104.98/105.38 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 104.98/105.38 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 104.98/105.38 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 104.98/105.38 ) ] )
% 104.98/105.38 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 104.98/105.38 :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40845, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 104.98/105.38 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 104.98/105.38 ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40844, [ =( 'least_upper_bound'( inverse( inverse(
% 104.98/105.38 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 104.98/105.38 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 104.98/105.38 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( X, X ), X
% 104.98/105.38 ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12460, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 104.98/105.38 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 104.98/105.38 ] )
% 104.98/105.38 , clause( 40845, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 104.98/105.38 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 104.98/105.38 ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40848, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 104.98/105.38 , 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ) )
% 104.98/105.38 ] )
% 104.98/105.38 , clause( 4068, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) ), Z ) ) ),
% 104.98/105.38 identity ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40851, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 104.98/105.38 , 'least_upper_bound'( multiply( inverse( X ), inverse( X ) ), identity )
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , clause( 12460, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 104.98/105.38 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 104.98/105.38 ) ] )
% 104.98/105.38 , 0, clause( 40848, [ =( identity, 'greatest_lower_bound'( identity,
% 104.98/105.38 multiply( X, 'least_upper_bound'( 'least_upper_bound'( Y, inverse( X ) )
% 104.98/105.38 , Z ) ) ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 104.98/105.38 :=( X, X ), :=( Y, multiply( inverse( X ), inverse( X ) ) ), :=( Z,
% 104.98/105.38 identity )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40852, [ =( identity, 'greatest_lower_bound'( identity,
% 104.98/105.38 'least_upper_bound'( inverse( X ), multiply( X, identity ) ) ) ) ] )
% 104.98/105.38 , clause( 1546, [ =( multiply( X, 'least_upper_bound'( multiply( inverse( X
% 104.98/105.38 ), Y ), Z ) ), 'least_upper_bound'( Y, multiply( X, Z ) ) ) ] )
% 104.98/105.38 , 0, clause( 40851, [ =( identity, 'greatest_lower_bound'( identity,
% 104.98/105.38 multiply( X, 'least_upper_bound'( multiply( inverse( X ), inverse( X ) )
% 104.98/105.38 , identity ) ) ) ) ] )
% 104.98/105.38 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z,
% 104.98/105.38 identity )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40853, [ =( identity, 'greatest_lower_bound'( identity,
% 104.98/105.38 'least_upper_bound'( inverse( X ), X ) ) ) ] )
% 104.98/105.38 , clause( 175, [ =( multiply( X, identity ), X ) ] )
% 104.98/105.38 , 0, clause( 40852, [ =( identity, 'greatest_lower_bound'( identity,
% 104.98/105.38 'least_upper_bound'( inverse( X ), multiply( X, identity ) ) ) ) ] )
% 104.98/105.38 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40854, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 104.98/105.38 inverse( X ), X ) ), identity ) ] )
% 104.98/105.38 , clause( 40853, [ =( identity, 'greatest_lower_bound'( identity,
% 104.98/105.38 'least_upper_bound'( inverse( X ), X ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12482, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 104.98/105.38 inverse( X ), X ) ), identity ) ] )
% 104.98/105.38 , clause( 40854, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 104.98/105.38 inverse( X ), X ) ), identity ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40856, [ =( 'least_upper_bound'( X, Z ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( X, 'greatest_lower_bound'( Y, 'least_upper_bound'( X
% 104.98/105.38 , Z ) ) ), Z ) ) ] )
% 104.98/105.38 , clause( 446, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 104.98/105.38 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ) ), Y ),
% 104.98/105.38 'least_upper_bound'( X, Y ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40857, [ =( 'least_upper_bound'( inverse( X ), X ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( inverse( X ), identity ), X ) )
% 104.98/105.38 ] )
% 104.98/105.38 , clause( 12482, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 104.98/105.38 inverse( X ), X ) ), identity ) ] )
% 104.98/105.38 , 0, clause( 40856, [ =( 'least_upper_bound'( X, Z ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( X, 'greatest_lower_bound'( Y, 'least_upper_bound'( X
% 104.98/105.38 , Z ) ) ), Z ) ) ] )
% 104.98/105.38 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.98/105.38 X ) ), :=( Y, identity ), :=( Z, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40858, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 104.98/105.38 , clause( 40857, [ =( 'least_upper_bound'( inverse( X ), X ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( inverse( X ), identity ), X ) )
% 104.98/105.38 ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 12532, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X )
% 104.98/105.38 , identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 104.98/105.38 , clause( 40858, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X
% 104.98/105.38 ), identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40861, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 104.98/105.38 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse( X )
% 104.98/105.38 , X ) ) ] )
% 104.98/105.38 , clause( 12532, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X
% 104.98/105.38 ), identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 104.98/105.38 , 0, clause( 2147, [ =( multiply( 'least_upper_bound'( identity, inverse( X
% 104.98/105.38 ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 104.98/105.38 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 20092, [ =( multiply( 'least_upper_bound'( identity, inverse( X ) )
% 104.98/105.38 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse( X )
% 104.98/105.38 , X ) ) ] )
% 104.98/105.38 , clause( 40861, [ =( multiply( 'least_upper_bound'( identity, inverse( X )
% 104.98/105.38 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse( X
% 104.98/105.38 ), X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40865, [ =( multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.38 inverse( X ), X ) ) ] )
% 104.98/105.38 , clause( 12532, [ =( 'least_upper_bound'( 'least_upper_bound'( inverse( X
% 104.98/105.38 ), identity ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 104.98/105.38 , 0, clause( 1318, [ =( multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.38 'least_upper_bound'( inverse( X ), identity ), X ) ) ] )
% 104.98/105.38 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 20103, [ =( multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.38 inverse( X ), X ) ) ] )
% 104.98/105.38 , clause( 40865, [ =( multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.38 inverse( X ), X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40868, [ =( 'greatest_lower_bound'( identity, Y ),
% 104.98/105.38 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.38 , clause( 2634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 104.98/105.38 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 104.98/105.38 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40869, [ =( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 104.98/105.38 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , clause( 5591, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, clause( 40868, [ =( 'greatest_lower_bound'( identity, Y ),
% 104.98/105.38 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.98/105.38 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 104.98/105.38 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40870, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ] )
% 104.98/105.38 , clause( 40869, [ =( 'greatest_lower_bound'( identity, X ),
% 104.98/105.38 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 104.98/105.38 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 39030, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ] )
% 104.98/105.38 , clause( 40870, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ] )
% 104.98/105.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 eqswap(
% 104.98/105.38 clause( 40872, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 104.98/105.38 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 104.98/105.38 ] )
% 104.98/105.38 , clause( 1654, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 104.98/105.38 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 104.98/105.38 ) ) ] )
% 104.98/105.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40879, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 104.98/105.38 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 104.98/105.38 , clause( 39030, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ] )
% 104.98/105.38 , 0, clause( 40872, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 104.98/105.38 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 104.98/105.38 , Y ) ) ) ) ] )
% 104.98/105.38 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.98/105.38 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 104.98/105.38 'greatest_lower_bound'( identity, X ) )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40880, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 104.98/105.38 , clause( 200, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 104.98/105.38 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 104.98/105.38 )
% 104.98/105.38 , 0, clause( 40879, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 104.98/105.38 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 104.98/105.38 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 104.98/105.38 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 104.98/105.38 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40881, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 104.98/105.38 X ) ) ) ) ) ) ] )
% 104.98/105.38 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.98/105.38 , 0, clause( 40880, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 104.98/105.38 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 104.98/105.38 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40883, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40881, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 104.98/105.38 X ) ) ) ) ) ) ] )
% 104.98/105.38 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 104.98/105.38 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40884, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.98/105.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 104.98/105.38 , clause( 182, [ =( inverse( inverse( X ) ), X ) ] )
% 104.98/105.38 , 0, clause( 40883, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.98/105.38 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 104.98/105.38 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 104.98/105.38 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40889, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 104.98/105.38 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.98/105.38 , 0, clause( 40884, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.98/105.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.38 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 104.98/105.38 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 104.98/105.38 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 104.98/105.38 , [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40890, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.98/105.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.38 inverse( X ) ) ) ] )
% 104.98/105.38 , clause( 598, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 104.98/105.38 ) ) ) ] )
% 104.98/105.38 , 0, clause( 40889, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.98/105.38 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 104.98/105.38 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.38 ).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 paramod(
% 104.98/105.38 clause( 40891, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.98/105.38 , clause( 5026, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.98/105.38 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 104.98/105.38 )
% 104.98/105.38 , 0, clause( 40890, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.98/105.38 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.98/105.38 inverse( X ) ) ) ] )
% 104.98/105.38 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 104.98/105.38 1, [ :=( X, X )] )).
% 104.98/105.38
% 104.98/105.38
% 104.98/105.38 subsumption(
% 104.98/105.38 clause( 39047, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 104.98/105.38 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.98/105.39 , clause( 40891, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.98/105.39 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.98/105.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 eqswap(
% 104.98/105.39 clause( 40894, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 104.98/105.39 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 104.98/105.39 inverse( X ) ) ) ) ] )
% 104.98/105.39 , clause( 20103, [ =( multiply( 'least_upper_bound'( X, identity ),
% 104.98/105.39 'least_upper_bound'( identity, inverse( X ) ) ), 'least_upper_bound'(
% 104.98/105.39 inverse( X ), X ) ) ] )
% 104.98/105.39 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 paramod(
% 104.98/105.39 clause( 40895, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 104.98/105.39 'least_upper_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 104.98/105.39 identity, X ) ) ) ) ] )
% 104.98/105.39 , clause( 39047, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.98/105.39 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.98/105.39 , 0, clause( 40894, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 104.98/105.39 'least_upper_bound'( X, identity ), 'least_upper_bound'( identity,
% 104.98/105.39 inverse( X ) ) ) ) ] )
% 104.98/105.39 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.39 ).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 eqswap(
% 104.98/105.39 clause( 40896, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.39 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 104.98/105.39 X ), X ) ) ] )
% 104.98/105.39 , clause( 40895, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 104.98/105.39 'least_upper_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 104.98/105.39 identity, X ) ) ) ) ] )
% 104.98/105.39 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 subsumption(
% 104.98/105.39 clause( 39137, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.39 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 104.98/105.39 X ), X ) ) ] )
% 104.98/105.39 , clause( 40896, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.39 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 104.98/105.39 X ), X ) ) ] )
% 104.98/105.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 eqswap(
% 104.98/105.39 clause( 40898, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 104.98/105.39 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 104.98/105.39 identity ) ) ) ] )
% 104.98/105.39 , clause( 20092, [ =( multiply( 'least_upper_bound'( identity, inverse( X )
% 104.98/105.39 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse( X
% 104.98/105.39 ), X ) ) ] )
% 104.98/105.39 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 paramod(
% 104.98/105.39 clause( 40899, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 104.98/105.39 inverse( 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X
% 104.98/105.39 , identity ) ) ) ] )
% 104.98/105.39 , clause( 39047, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.98/105.39 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.98/105.39 , 0, clause( 40898, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 104.98/105.39 'least_upper_bound'( identity, inverse( X ) ), 'least_upper_bound'( X,
% 104.98/105.39 identity ) ) ) ] )
% 104.98/105.39 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.98/105.39 ).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 eqswap(
% 104.98/105.39 clause( 40900, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 104.98/105.39 ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 104.98/105.39 X ), X ) ) ] )
% 104.98/105.39 , clause( 40899, [ =( 'least_upper_bound'( inverse( X ), X ), multiply(
% 104.98/105.39 inverse( 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X
% 104.98/105.39 , identity ) ) ) ] )
% 104.98/105.39 , 0, substitution( 0, [ :=( X, X )] )).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 subsumption(
% 104.98/105.39 clause( 39140, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 104.98/105.39 ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 104.98/105.39 X ), X ) ) ] )
% 104.98/105.39 , clause( 40900, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 104.98/105.39 X ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 104.98/105.39 X ), X ) ) ] )
% 104.98/105.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 paramod(
% 104.98/105.39 clause( 40904, [ ~( =( 'least_upper_bound'( inverse( a ), a ), multiply(
% 104.98/105.39 inverse( 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a
% 104.98/105.39 , identity ) ) ) ) ] )
% 104.98/105.39 , clause( 39137, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 104.98/105.39 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 104.98/105.39 X ), X ) ) ] )
% 104.98/105.39 , 0, clause( 173, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 104.98/105.39 inverse( 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 104.98/105.39 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 104.98/105.39 ) ) ) ) ] )
% 104.98/105.39 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 paramod(
% 104.98/105.39 clause( 40905, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 104.98/105.39 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 104.98/105.39 , clause( 39140, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 104.98/105.39 X ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( inverse(
% 104.98/105.39 X ), X ) ) ] )
% 104.98/105.39 , 0, clause( 40904, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 104.98/105.39 multiply( inverse( 'greatest_lower_bound'( identity, a ) ),
% 104.98/105.39 'least_upper_bound'( a, identity ) ) ) ) ] )
% 104.98/105.39 , 0, 6, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 eqrefl(
% 104.98/105.39 clause( 40906, [] )
% 104.98/105.39 , clause( 40905, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 104.98/105.39 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 104.98/105.39 , 0, substitution( 0, [] )).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 subsumption(
% 104.98/105.39 clause( 39601, [] )
% 104.98/105.39 , clause( 40906, [] )
% 104.98/105.39 , substitution( 0, [] ), permutation( 0, [] ) ).
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 end.
% 104.98/105.39
% 104.98/105.39 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 104.98/105.39
% 104.98/105.39 Memory use:
% 104.98/105.39
% 104.98/105.39 space for terms: 569352
% 104.98/105.39 space for clauses: 4139571
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 clauses generated: 29803765
% 104.98/105.39 clauses kept: 39602
% 104.98/105.39 clauses selected: 7133
% 104.98/105.39 clauses deleted: 3840
% 104.98/105.39 clauses inuse deleted: 1626
% 104.98/105.39
% 104.98/105.39 subsentry: 1269231
% 104.98/105.39 literals s-matched: 1265811
% 104.98/105.39 literals matched: 1265527
% 104.98/105.39 full subsumption: 0
% 104.98/105.39
% 104.98/105.39 checksum: 650322265
% 104.98/105.39
% 104.98/105.39
% 104.98/105.39 Bliksem ended
%------------------------------------------------------------------------------