TSTP Solution File: GRP167-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP167-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 07:35:42 EDT 2022
% Result : Unsatisfiable 101.51s 101.88s
% Output : Refutation 101.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP167-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 13 12:55:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 101.51/101.88 *** allocated 10000 integers for termspace/termends
% 101.51/101.88 *** allocated 10000 integers for clauses
% 101.51/101.88 *** allocated 10000 integers for justifications
% 101.51/101.88 Bliksem 1.12
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Automatic Strategy Selection
% 101.51/101.88
% 101.51/101.88 Clauses:
% 101.51/101.88 [
% 101.51/101.88 [ =( multiply( identity, X ), X ) ],
% 101.51/101.88 [ =( multiply( inverse( X ), X ), identity ) ],
% 101.51/101.88 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 101.51/101.88 ],
% 101.51/101.88 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 101.51/101.88 ,
% 101.51/101.88 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 101.51/101.88 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.88 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 101.51/101.88 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 101.51/101.88 [ =( 'least_upper_bound'( X, X ), X ) ],
% 101.51/101.88 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 101.51/101.88 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 101.51/101.88 ,
% 101.51/101.88 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 101.51/101.88 ,
% 101.51/101.88 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 101.51/101.88 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 101.51/101.88 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 101.51/101.88 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 101.51/101.88 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 101.51/101.88 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 101.51/101.88 [ ~( =( a, multiply( 'least_upper_bound'( a, identity ),
% 101.51/101.88 'greatest_lower_bound'( a, identity ) ) ) ) ]
% 101.51/101.88 ] .
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 percentage equality = 1.000000, percentage horn = 1.000000
% 101.51/101.88 This is a pure equality problem
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Options Used:
% 101.51/101.88
% 101.51/101.88 useres = 1
% 101.51/101.88 useparamod = 1
% 101.51/101.88 useeqrefl = 1
% 101.51/101.88 useeqfact = 1
% 101.51/101.88 usefactor = 1
% 101.51/101.88 usesimpsplitting = 0
% 101.51/101.88 usesimpdemod = 5
% 101.51/101.88 usesimpres = 3
% 101.51/101.88
% 101.51/101.88 resimpinuse = 1000
% 101.51/101.88 resimpclauses = 20000
% 101.51/101.88 substype = eqrewr
% 101.51/101.88 backwardsubs = 1
% 101.51/101.88 selectoldest = 5
% 101.51/101.88
% 101.51/101.88 litorderings [0] = split
% 101.51/101.88 litorderings [1] = extend the termordering, first sorting on arguments
% 101.51/101.88
% 101.51/101.88 termordering = kbo
% 101.51/101.88
% 101.51/101.88 litapriori = 0
% 101.51/101.88 termapriori = 1
% 101.51/101.88 litaposteriori = 0
% 101.51/101.88 termaposteriori = 0
% 101.51/101.88 demodaposteriori = 0
% 101.51/101.88 ordereqreflfact = 0
% 101.51/101.88
% 101.51/101.88 litselect = negord
% 101.51/101.88
% 101.51/101.88 maxweight = 15
% 101.51/101.88 maxdepth = 30000
% 101.51/101.88 maxlength = 115
% 101.51/101.88 maxnrvars = 195
% 101.51/101.88 excuselevel = 1
% 101.51/101.88 increasemaxweight = 1
% 101.51/101.88
% 101.51/101.88 maxselected = 10000000
% 101.51/101.88 maxnrclauses = 10000000
% 101.51/101.88
% 101.51/101.88 showgenerated = 0
% 101.51/101.88 showkept = 0
% 101.51/101.88 showselected = 0
% 101.51/101.88 showdeleted = 0
% 101.51/101.88 showresimp = 1
% 101.51/101.88 showstatus = 2000
% 101.51/101.88
% 101.51/101.88 prologoutput = 1
% 101.51/101.88 nrgoals = 5000000
% 101.51/101.88 totalproof = 1
% 101.51/101.88
% 101.51/101.88 Symbols occurring in the translation:
% 101.51/101.88
% 101.51/101.88 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 101.51/101.88 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 101.51/101.88 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 101.51/101.88 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 101.51/101.88 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 101.51/101.88 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 101.51/101.88 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 101.51/101.88 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 101.51/101.88 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 101.51/101.88 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 101.51/101.88 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Starting Search:
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 25294
% 101.51/101.88 Kept: 2002
% 101.51/101.88 Inuse: 202
% 101.51/101.88 Deleted: 14
% 101.51/101.88 Deletedinuse: 8
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 104014
% 101.51/101.88 Kept: 4012
% 101.51/101.88 Inuse: 471
% 101.51/101.88 Deleted: 30
% 101.51/101.88 Deletedinuse: 8
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 178396
% 101.51/101.88 Kept: 6029
% 101.51/101.88 Inuse: 644
% 101.51/101.88 Deleted: 81
% 101.51/101.88 Deletedinuse: 27
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 301003
% 101.51/101.88 Kept: 8035
% 101.51/101.88 Inuse: 819
% 101.51/101.88 Deleted: 139
% 101.51/101.88 Deletedinuse: 80
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 678337
% 101.51/101.88 Kept: 10040
% 101.51/101.88 Inuse: 1157
% 101.51/101.88 Deleted: 193
% 101.51/101.88 Deletedinuse: 80
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 1926716
% 101.51/101.88 Kept: 12088
% 101.51/101.88 Inuse: 1761
% 101.51/101.88 Deleted: 278
% 101.51/101.88 Deletedinuse: 80
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 2145494
% 101.51/101.88 Kept: 14224
% 101.51/101.88 Inuse: 1884
% 101.51/101.88 Deleted: 304
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 2226968
% 101.51/101.88 Kept: 16285
% 101.51/101.88 Inuse: 1926
% 101.51/101.88 Deleted: 307
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 2371586
% 101.51/101.88 Kept: 18340
% 101.51/101.88 Inuse: 1997
% 101.51/101.88 Deleted: 308
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying clauses:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 2537570
% 101.51/101.88 Kept: 20361
% 101.51/101.88 Inuse: 2072
% 101.51/101.88 Deleted: 2136
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 2850550
% 101.51/101.88 Kept: 22390
% 101.51/101.88 Inuse: 2206
% 101.51/101.88 Deleted: 2136
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 3284052
% 101.51/101.88 Kept: 24394
% 101.51/101.88 Inuse: 2376
% 101.51/101.88 Deleted: 2136
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 3899296
% 101.51/101.88 Kept: 26404
% 101.51/101.88 Inuse: 2603
% 101.51/101.88 Deleted: 2139
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 4972024
% 101.51/101.88 Kept: 28408
% 101.51/101.88 Inuse: 2924
% 101.51/101.88 Deleted: 2140
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 6919019
% 101.51/101.88 Kept: 30408
% 101.51/101.88 Inuse: 3394
% 101.51/101.88 Deleted: 2165
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 9470860
% 101.51/101.88 Kept: 32410
% 101.51/101.88 Inuse: 3993
% 101.51/101.88 Deleted: 2165
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 14129471
% 101.51/101.88 Kept: 34417
% 101.51/101.88 Inuse: 4972
% 101.51/101.88 Deleted: 2210
% 101.51/101.88 Deletedinuse: 81
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 17282573
% 101.51/101.88 Kept: 36420
% 101.51/101.88 Inuse: 5602
% 101.51/101.88 Deleted: 2359
% 101.51/101.88 Deletedinuse: 213
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Intermediate Status:
% 101.51/101.88 Generated: 26421470
% 101.51/101.88 Kept: 38429
% 101.51/101.88 Inuse: 6783
% 101.51/101.88 Deleted: 2425
% 101.51/101.88 Deletedinuse: 246
% 101.51/101.88
% 101.51/101.88 Resimplifying inuse:
% 101.51/101.88 Done
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 Bliksems!, er is een bewijs:
% 101.51/101.88 % SZS status Unsatisfiable
% 101.51/101.88 % SZS output start Refutation
% 101.51/101.88
% 101.51/101.88 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 101.51/101.88 , Z ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 101.51/101.88 X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 101.51/101.88 ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 101.51/101.88 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 101.51/101.88 ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 101.51/101.88 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 101.51/101.88 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 101.51/101.88 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.51/101.88 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 15, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 101.51/101.88 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 101.51/101.88 , identity ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 101.51/101.88 identity ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 101.51/101.88 ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 22, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ), Z ),
% 101.51/101.88 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 101.51/101.88 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 101.51/101.88 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 101.51/101.88 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 101.51/101.88 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.51/101.88 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.88 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 101.51/101.88 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 101.51/101.88 'least_upper_bound'( Y, Z ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 101.51/101.88 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 101.51/101.88 multiply( Y, X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 72, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 101.51/101.88 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 89, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 101.51/101.88 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 91, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 101.51/101.88 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 93, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 101.51/101.88 'least_upper_bound'( Y, identity ), X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 110, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 101.51/101.88 )
% 101.51/101.88 .
% 101.51/101.88 clause( 130, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 101.51/101.88 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 133, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 101.51/101.88 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 134, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 101.51/101.88 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 149, [ =( 'least_upper_bound'( multiply( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 101.51/101.88 ) ), multiply( X, Y ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 157, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 168, [ =( inverse( identity ), identity ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 171, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 101.51/101.88 ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 179, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 101.51/101.88 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 183, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) ), X ), Y ),
% 101.51/101.88 'greatest_lower_bound'( Y, X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 191, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 193, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.51/101.88 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 210, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Y, Z ), X ), Z ), 'greatest_lower_bound'( X, Z ) ) ]
% 101.51/101.88 )
% 101.51/101.88 .
% 101.51/101.88 clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 101.51/101.88 ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 215, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 101.51/101.88 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 101.51/101.88 )
% 101.51/101.88 .
% 101.51/101.88 clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 101.51/101.88 ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 218, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 101.51/101.88 X, Y ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 219, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 101.51/101.88 Y ), X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 227, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 101.51/101.88 inverse( X ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 265, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 281, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 378, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 101.51/101.88 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 394, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 101.51/101.88 'least_upper_bound'( X, Y ) ), identity ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 534, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 101.51/101.88 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 539, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 101.51/101.88 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 553, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 101.51/101.88 identity, Y ) ), X ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 555, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 101.51/101.88 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 557, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 101.51/101.88 'least_upper_bound'( identity, X ) ) ), Y ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 566, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 101.51/101.88 Y, identity ) ), X ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 600, [ =( 'least_upper_bound'( X, multiply( X,
% 101.51/101.88 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 609, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.88 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 619, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.88 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 101.51/101.88 ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 789, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 101.51/101.88 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 835, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 101.51/101.88 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 975, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 101.51/101.88 identity, X ), Y ) ), Y ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 1024, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 1033, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 101.51/101.88 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 1053, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( multiply(
% 101.51/101.88 'least_upper_bound'( identity, Y ), X ), Z ), X ), 'greatest_lower_bound'(
% 101.51/101.88 X, Z ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 1207, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X,
% 101.51/101.88 Y ), Y ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 1638, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 101.51/101.88 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 101.51/101.88 ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 2186, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 101.51/101.88 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 2196, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 101.51/101.88 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 2540, [ =( inverse( 'least_upper_bound'( multiply( X, inverse( Y )
% 101.51/101.88 ), identity ) ), multiply( Y, inverse( 'least_upper_bound'( X, Y ) ) ) )
% 101.51/101.88 ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 2614, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 101.51/101.88 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 101.51/101.88 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 3200, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.88 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 3222, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 101.51/101.88 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 3329, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.88 inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 3351, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.88 identity, inverse( X ) ) ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 3362, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.88 identity, inverse( X ) ) ), X ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 3388, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.88 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 3413, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.88 identity, X ) ), inverse( X ) ), inverse( 'least_upper_bound'( identity,
% 101.51/101.88 X ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 3898, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.51/101.88 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ) ), identity
% 101.51/101.88 ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 4380, [ =( 'least_upper_bound'( identity, multiply(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 4413, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 4845, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 101.51/101.88 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 4978, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.88 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 4983, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.88 inverse( X ), Y ) ), X ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 5000, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.88 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 5012, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.88 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 5073, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.51/101.88 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 5095, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 5121, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 5618, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 101.51/101.88 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 5634, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.51/101.88 inverse( X ) ) ), X ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 5676, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 101.51/101.88 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 101.51/101.88 ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 12479, [ =( multiply( inverse( 'greatest_lower_bound'( X, inverse(
% 101.51/101.88 Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 12491, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( Y )
% 101.51/101.88 , Z ) ), 'greatest_lower_bound'( multiply( Z, Y ), identity ) ), Y ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 38990, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.88 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.88 'greatest_lower_bound'( identity, X ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 39012, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 101.51/101.88 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 39026, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.51/101.88 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 39223, [ =( multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.88 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 101.51/101.88 .
% 101.51/101.88 clause( 39262, [] )
% 101.51/101.88 .
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 % SZS output end Refutation
% 101.51/101.88 found a proof!
% 101.51/101.88
% 101.51/101.88 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 101.51/101.88
% 101.51/101.88 initialclauses(
% 101.51/101.88 [ clause( 39264, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 , clause( 39265, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , clause( 39266, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.51/101.88 multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 39267, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( Y, X ) ) ] )
% 101.51/101.88 , clause( 39268, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 101.51/101.88 X ) ) ] )
% 101.51/101.88 , clause( 39269, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 101.51/101.88 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 101.51/101.88 )
% 101.51/101.88 , clause( 39270, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 101.51/101.88 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , clause( 39271, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 101.51/101.88 , clause( 39272, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 101.51/101.88 , clause( 39273, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.51/101.88 ) ), X ) ] )
% 101.51/101.88 , clause( 39274, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.51/101.88 ) ), X ) ] )
% 101.51/101.88 , clause( 39275, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , clause( 39276, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , clause( 39277, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 39278, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 39279, [ ~( =( a, multiply( 'least_upper_bound'( a, identity ),
% 101.51/101.88 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 101.51/101.88 ] ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 , clause( 39264, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , clause( 39265, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39285, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 101.51/101.88 , Y ), Z ) ) ] )
% 101.51/101.88 , clause( 39266, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.51/101.88 multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 101.51/101.88 , Z ) ) ] )
% 101.51/101.88 , clause( 39285, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 101.51/101.88 X, Y ), Z ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 101.51/101.88 X ) ) ] )
% 101.51/101.88 , clause( 39267, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( Y, X ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 101.51/101.88 ] )
% 101.51/101.88 , clause( 39268, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 101.51/101.88 X ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 101.51/101.88 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , clause( 39269, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 101.51/101.88 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 101.51/101.88 )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , clause( 39270, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 101.51/101.88 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 101.51/101.88 ) ] )
% 101.51/101.88 , clause( 39273, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.51/101.88 ) ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 , clause( 39274, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.51/101.88 ) ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39327, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.51/101.88 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 39275, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 101.51/101.88 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 39327, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 101.51/101.88 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39338, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 101.51/101.88 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 39276, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 101.51/101.88 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 39338, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 101.51/101.88 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39350, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.51/101.88 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , clause( 39277, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 101.51/101.88 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , clause( 39350, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 101.51/101.88 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39363, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 101.51/101.88 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , clause( 39278, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.51/101.88 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , clause( 39363, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 101.51/101.88 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39377, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 101.51/101.88 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 101.51/101.88 , clause( 39279, [ ~( =( a, multiply( 'least_upper_bound'( a, identity ),
% 101.51/101.88 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 15, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 101.51/101.88 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 101.51/101.88 , clause( 39377, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 101.51/101.88 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 101.51/101.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39378, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 101.51/101.88 Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.51/101.88 ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39381, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 101.51/101.88 ), identity ) ] )
% 101.51/101.88 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , 0, clause( 39378, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.51/101.88 multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 101.51/101.88 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 101.51/101.88 , identity ) ] )
% 101.51/101.88 , clause( 39381, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 101.51/101.88 , Y ), identity ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39387, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 101.51/101.88 Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.51/101.88 ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39392, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 101.51/101.88 , identity ) ) ] )
% 101.51/101.88 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , 0, clause( 39387, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.51/101.88 multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.88 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 101.51/101.88 identity ) ) ] )
% 101.51/101.88 , clause( 39392, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 101.51/101.88 X, identity ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39397, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 101.51/101.88 Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.51/101.88 ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39402, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 , 0, clause( 39397, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.51/101.88 multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.88 :=( Y, identity ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 101.51/101.88 ] )
% 101.51/101.88 , clause( 39402, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 101.51/101.88 Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39407, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39408, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39407, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.88 X, Y ) ) ) ] )
% 101.51/101.88 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 101.51/101.88 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39411, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 101.51/101.88 ), X ) ] )
% 101.51/101.88 , clause( 39408, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 101.51/101.88 ), X ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 , clause( 39411, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 101.51/101.88 X ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39412, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39413, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.51/101.88 ) ] )
% 101.51/101.88 , 0, clause( 39412, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.88 X, Y ) ) ) ] )
% 101.51/101.88 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39416, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 101.51/101.88 ), X ) ] )
% 101.51/101.88 , clause( 39413, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 101.51/101.88 , X ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 , clause( 39416, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 101.51/101.88 ) ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39417, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39418, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.51/101.88 ) ] )
% 101.51/101.88 , 0, clause( 39417, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 101.51/101.88 , Y ), X ) ) ] )
% 101.51/101.88 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39421, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 101.51/101.88 ), X ) ] )
% 101.51/101.88 , clause( 39418, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 101.51/101.88 ), X ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 , clause( 39421, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 101.51/101.88 X ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39422, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.88 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.51/101.88 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39425, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ), Z ),
% 101.51/101.88 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.51/101.88 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, clause( 39422, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 101.51/101.88 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 101.51/101.88 ] )
% 101.51/101.88 , 0, 10, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, Z ) ), :=( Y
% 101.51/101.88 , X )] ), substitution( 1, [ :=( X, 'least_upper_bound'( X,
% 101.51/101.88 'greatest_lower_bound'( Y, Z ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 22, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ), Z ),
% 101.51/101.88 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.51/101.88 , clause( 39425, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ), Z ),
% 101.51/101.88 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39431, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.88 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.51/101.88 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39436, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 101.51/101.88 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 101.51/101.88 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, clause( 39431, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 101.51/101.88 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 101.51/101.88 ] )
% 101.51/101.88 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 101.51/101.88 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 101.51/101.88 , clause( 39436, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 101.51/101.88 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39441, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.88 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.51/101.88 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39444, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.88 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.88 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, clause( 39441, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 101.51/101.88 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 101.51/101.88 ] )
% 101.51/101.88 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Y, Z ) )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 101.51/101.88 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 101.51/101.88 , clause( 39444, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.51/101.88 ), 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39448, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.88 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.51/101.88 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39451, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.88 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39448, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 101.51/101.88 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 101.51/101.88 ] )
% 101.51/101.88 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z
% 101.51/101.88 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 101.51/101.88 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 101.51/101.88 , clause( 39451, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.51/101.88 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ]
% 101.51/101.88 )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39466, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39469, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 101.51/101.88 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, clause( 39466, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.88 Y, X ) ) ) ] )
% 101.51/101.88 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39470, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.88 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.88 , clause( 39469, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 101.51/101.88 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.88 , clause( 39470, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.51/101.88 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39472, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39473, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.51/101.88 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.51/101.88 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, clause( 39472, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 X, Y ) ) ) ] )
% 101.51/101.88 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 101.51/101.88 ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39474, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.51/101.88 , clause( 39473, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.51/101.88 , clause( 39474, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39476, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39479, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), X ) ) ] )
% 101.51/101.88 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, clause( 39476, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 X, Y ) ) ) ] )
% 101.51/101.88 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39480, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.51/101.88 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.88 , clause( 39479, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), X ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.51/101.88 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.88 , clause( 39480, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 101.51/101.88 , 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39481, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39482, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39481, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 X, Y ) ) ) ] )
% 101.51/101.88 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39485, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 101.51/101.88 ), X ) ] )
% 101.51/101.88 , clause( 39482, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 , clause( 39485, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 101.51/101.88 ) ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39486, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39487, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.51/101.88 ) ] )
% 101.51/101.88 , 0, clause( 39486, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 X, Y ) ) ) ] )
% 101.51/101.88 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 101.51/101.88 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39490, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 101.51/101.88 ), X ) ] )
% 101.51/101.88 , clause( 39487, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 101.51/101.88 ), X ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 , clause( 39490, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 X ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39491, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39492, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.51/101.88 ) ] )
% 101.51/101.88 , 0, clause( 39491, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 Y, X ) ) ) ] )
% 101.51/101.88 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 101.51/101.88 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39495, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 101.51/101.88 ), X ) ] )
% 101.51/101.88 , clause( 39492, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 101.51/101.88 ), X ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 101.51/101.88 X ) ] )
% 101.51/101.88 , clause( 39495, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 101.51/101.88 X ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39497, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.88 , Y ) ) ] )
% 101.51/101.88 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39498, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.51/101.88 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.88 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.51/101.88 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, clause( 39497, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 101.51/101.88 , Y ), Y ) ) ] )
% 101.51/101.88 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.51/101.88 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 101.51/101.88 ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39499, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.88 , clause( 39498, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 101.51/101.88 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.88 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.51/101.88 , clause( 39499, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39501, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 101.51/101.88 ) ) ) ] )
% 101.51/101.88 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39502, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 101.51/101.88 , X ), Y ) ) ) ] )
% 101.51/101.88 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, clause( 39501, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.88 Y, X ) ) ) ] )
% 101.51/101.88 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.51/101.88 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 101.51/101.88 ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39503, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 101.51/101.88 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 101.51/101.88 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.88 , clause( 39502, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 101.51/101.88 , X ), Y ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 101.51/101.88 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 101.51/101.88 'least_upper_bound'( Y, Z ) ) ] )
% 101.51/101.88 , clause( 39503, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 101.51/101.88 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 101.51/101.88 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39505, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39506, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 101.51/101.88 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, clause( 39505, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 101.51/101.88 , Y ), X ) ) ] )
% 101.51/101.88 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 101.51/101.88 ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39507, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 101.51/101.88 , clause( 39506, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 101.51/101.88 , clause( 39507, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39509, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.51/101.88 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39511, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 101.51/101.88 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 101.51/101.88 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , 0, clause( 39509, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 101.51/101.88 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39514, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 101.51/101.88 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.88 , clause( 39511, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 101.51/101.88 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 101.51/101.88 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.88 , clause( 39514, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 101.51/101.88 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39517, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 101.51/101.88 ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39520, [ =( multiply( inverse( identity ), X ), multiply( identity
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , 0, clause( 39517, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 101.51/101.88 ), Y ) ) ] )
% 101.51/101.88 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 101.51/101.88 inverse( identity ) ), :=( Y, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39521, [ =( multiply( inverse( identity ), X ), X ) ] )
% 101.51/101.88 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 , 0, clause( 39520, [ =( multiply( inverse( identity ), X ), multiply(
% 101.51/101.88 identity, X ) ) ] )
% 101.51/101.88 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.88 ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 101.51/101.88 , clause( 39521, [ =( multiply( inverse( identity ), X ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39524, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 101.51/101.88 Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.51/101.88 ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39529, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 101.51/101.88 multiply( X, Y ) ) ] )
% 101.51/101.88 , clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 101.51/101.88 , 0, clause( 39524, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 101.51/101.88 multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.88 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 101.51/101.88 multiply( Y, X ) ) ] )
% 101.51/101.88 , clause( 39529, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 101.51/101.88 multiply( X, Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39534, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 101.51/101.88 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39536, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39534, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39538, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 101.51/101.88 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 101.51/101.88 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 101.51/101.88 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, clause( 39536, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.51/101.88 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 72, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 101.51/101.88 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 101.51/101.88 , clause( 39538, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.88 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39539, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.51/101.88 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39541, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 101.51/101.88 ) ] )
% 101.51/101.88 , 0, clause( 39539, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39543, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 101.51/101.88 'least_upper_bound'( Y, X ), Z ) ) ] )
% 101.51/101.88 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.51/101.88 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, clause( 39541, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.51/101.88 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 89, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 101.51/101.88 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.51/101.88 , clause( 39543, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 101.51/101.88 'least_upper_bound'( Y, X ), Z ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39545, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.51/101.88 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39547, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 101.51/101.88 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , 0, clause( 39545, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.88 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 91, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 101.51/101.88 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 101.51/101.88 , clause( 39547, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y )
% 101.51/101.88 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39551, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.51/101.88 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39553, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 101.51/101.88 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 , 0, clause( 39551, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.88 :=( Y, Y ), :=( Z, identity )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39555, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 101.51/101.88 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.51/101.88 , clause( 39553, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 93, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 101.51/101.88 'least_upper_bound'( Y, identity ), X ) ) ] )
% 101.51/101.88 , clause( 39555, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 101.51/101.88 'least_upper_bound'( X, identity ), Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39557, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 101.51/101.88 , clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39560, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Y, Z ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.88 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 101.51/101.88 , X ) ] )
% 101.51/101.88 , 0, clause( 39557, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 101.51/101.88 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 101.51/101.88 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.88 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39561, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ), X ), Y ) ) ] )
% 101.51/101.88 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 101.51/101.88 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, clause( 39560, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.88 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( Y, Z ) ), :=( Y, X )
% 101.51/101.88 , :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 101.51/101.88 ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39562, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 101.51/101.88 )
% 101.51/101.88 , clause( 39561, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z
% 101.51/101.88 ), X ), Y ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 110, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 101.51/101.88 )
% 101.51/101.88 , clause( 39562, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 101.51/101.88 )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39563, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.51/101.88 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39565, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39563, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39567, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 101.51/101.88 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.51/101.88 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.51/101.88 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, clause( 39565, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.51/101.88 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 130, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 101.51/101.88 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.51/101.88 , clause( 39567, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 101.51/101.88 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39569, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.51/101.88 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39570, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 101.51/101.88 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 101.51/101.88 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 , 0, clause( 39569, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 101.51/101.88 identity ), :=( Y, Y ), :=( Z, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39572, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 101.51/101.88 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 101.51/101.88 , clause( 39570, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 101.51/101.88 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 133, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 101.51/101.88 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 101.51/101.88 , clause( 39572, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 101.51/101.88 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39575, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.51/101.88 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39577, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 101.51/101.88 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 , 0, clause( 39575, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.88 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.88 :=( Y, Y ), :=( Z, identity )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39579, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 101.51/101.88 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 101.51/101.88 , clause( 39577, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 101.51/101.88 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 134, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 101.51/101.88 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 101.51/101.88 , clause( 39579, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 101.51/101.88 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39581, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.51/101.88 , clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39582, [ =( multiply( X, Y ), 'least_upper_bound'( multiply( X, Y )
% 101.51/101.88 , 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.51/101.88 T ) ) ) ] )
% 101.51/101.88 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.51/101.88 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.88 , 0, clause( 39581, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 101.51/101.88 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.51/101.88 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( Z, Y ) ),
% 101.51/101.88 :=( Z, T )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39583, [ =( 'least_upper_bound'( multiply( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 101.51/101.88 ) ), multiply( X, Y ) ) ] )
% 101.51/101.88 , clause( 39582, [ =( multiply( X, Y ), 'least_upper_bound'( multiply( X, Y
% 101.51/101.88 ), 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y )
% 101.51/101.88 , T ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.51/101.88 ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 149, [ =( 'least_upper_bound'( multiply( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 101.51/101.88 ) ), multiply( X, Y ) ) ] )
% 101.51/101.88 , clause( 39583, [ =( 'least_upper_bound'( multiply( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 101.51/101.88 ) ), multiply( X, Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39585, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 101.51/101.88 identity ) ), Y ) ) ] )
% 101.51/101.88 , clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 101.51/101.88 multiply( Y, X ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39588, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 101.51/101.88 identity, X ) ) ] )
% 101.51/101.88 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , 0, clause( 39585, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 101.51/101.88 identity ) ), Y ) ) ] )
% 101.51/101.88 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 101.51/101.88 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39589, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 101.51/101.88 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 , 0, clause( 39588, [ =( multiply( inverse( inverse( identity ) ), X ),
% 101.51/101.88 multiply( identity, X ) ) ] )
% 101.51/101.88 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.88 ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 157, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 101.51/101.88 , clause( 39589, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 101.51/101.88 )
% 101.51/101.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39591, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 101.51/101.88 , clause( 157, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39593, [ =( inverse( identity ), identity ) ] )
% 101.51/101.88 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , 0, clause( 39591, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 101.51/101.88 ] )
% 101.51/101.88 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 101.51/101.88 , [ :=( X, inverse( identity ) )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 168, [ =( inverse( identity ), identity ) ] )
% 101.51/101.88 , clause( 39593, [ =( inverse( identity ), identity ) ] )
% 101.51/101.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39596, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 101.51/101.88 Y ) ), Y ) ) ] )
% 101.51/101.88 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 101.51/101.88 , identity ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39599, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 101.51/101.88 identity, X ) ) ] )
% 101.51/101.88 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , 0, clause( 39596, [ =( multiply( X, identity ), multiply( multiply( X,
% 101.51/101.88 inverse( Y ) ), Y ) ) ] )
% 101.51/101.88 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 101.51/101.88 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39600, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 101.51/101.88 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.88 , 0, clause( 39599, [ =( multiply( inverse( inverse( X ) ), identity ),
% 101.51/101.88 multiply( identity, X ) ) ] )
% 101.51/101.88 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.88 ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 171, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 101.51/101.88 , clause( 39600, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 101.51/101.88 )
% 101.51/101.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39603, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 101.51/101.88 ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39606, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , clause( 171, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 101.51/101.88 , 0, clause( 39603, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 101.51/101.88 ), Y ) ) ] )
% 101.51/101.88 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 101.51/101.88 inverse( X ) ) ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 101.51/101.88 ) ] )
% 101.51/101.88 , clause( 39606, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 101.51/101.88 Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39613, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 101.51/101.88 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39616, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 101.51/101.88 identity, Y ) ), 'least_upper_bound'( X, multiply( inverse( inverse( X )
% 101.51/101.88 ), Y ) ) ) ] )
% 101.51/101.88 , clause( 171, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 101.51/101.88 , 0, clause( 39613, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.88 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.88 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 101.51/101.88 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39626, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 101.51/101.88 identity, Y ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.88 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , 0, clause( 39616, [ =( multiply( inverse( inverse( X ) ),
% 101.51/101.88 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply(
% 101.51/101.88 inverse( inverse( X ) ), Y ) ) ) ] )
% 101.51/101.88 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39628, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.51/101.88 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.88 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , 0, clause( 39626, [ =( multiply( inverse( inverse( X ) ),
% 101.51/101.88 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply( X
% 101.51/101.88 , Y ) ) ) ] )
% 101.51/101.88 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 101.51/101.88 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39629, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.51/101.88 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.51/101.88 , clause( 39628, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.51/101.88 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 179, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 101.51/101.88 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.51/101.88 , clause( 39629, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 101.51/101.88 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.88 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39630, [ =( 'greatest_lower_bound'( Y, Z ), 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 101.51/101.88 , Z ) ), Y ), Z ) ) ] )
% 101.51/101.88 , clause( 22, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ), Z ),
% 101.51/101.88 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39634, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( X, 'least_upper_bound'( Z, 'greatest_lower_bound'(
% 101.51/101.88 X, Y ) ) ), Y ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39630, [ =( 'greatest_lower_bound'( Y, Z ),
% 101.51/101.88 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 101.51/101.88 'greatest_lower_bound'( Y, Z ) ), Y ), Z ) ) ] )
% 101.51/101.88 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Z,
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.88 :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39637, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.88 Y, 'greatest_lower_bound'( X, 'least_upper_bound'( Z,
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39634, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Z
% 101.51/101.88 , 'greatest_lower_bound'( X, Y ) ) ), Y ) ) ] )
% 101.51/101.88 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X,
% 101.51/101.88 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ), :=( Y, Y )] )
% 101.51/101.88 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39640, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.88 Y, 'greatest_lower_bound'( X, 'least_upper_bound'( Z,
% 101.51/101.88 'greatest_lower_bound'( Y, X ) ) ) ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39637, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( Y, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.88 Z, 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 101.51/101.88 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39642, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.88 Y, 'greatest_lower_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'(
% 101.51/101.88 Y, X ) ), X ) ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39640, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( Y, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.88 Z, 'greatest_lower_bound'( Y, X ) ) ) ) ) ] )
% 101.51/101.88 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Z,
% 101.51/101.88 'greatest_lower_bound'( Y, X ) ) )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.88 :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39643, [ =( 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'(
% 101.51/101.88 Y, 'greatest_lower_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'(
% 101.51/101.88 Y, X ) ), X ) ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39642, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( Y, 'greatest_lower_bound'( 'least_upper_bound'( Z
% 101.51/101.88 , 'greatest_lower_bound'( Y, X ) ), X ) ) ) ] )
% 101.51/101.88 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39645, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.88 'greatest_lower_bound'( 'least_upper_bound'( Z, 'greatest_lower_bound'( X
% 101.51/101.88 , Y ) ), Y ), X ) ) ] )
% 101.51/101.88 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.88 , X ) ) ] )
% 101.51/101.88 , 0, clause( 39643, [ =( 'greatest_lower_bound'( Y, X ),
% 101.51/101.88 'greatest_lower_bound'( Y, 'greatest_lower_bound'( 'least_upper_bound'( Z
% 101.51/101.88 , 'greatest_lower_bound'( Y, X ) ), X ) ) ) ] )
% 101.51/101.88 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ), Y ) )] ),
% 101.51/101.88 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39656, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ), Y ), X ),
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.88 , clause( 39645, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.88 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( Z,
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ), Y ), X ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 183, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) ), X ), Y ),
% 101.51/101.88 'greatest_lower_bound'( Y, X ) ) ] )
% 101.51/101.88 , clause( 39656, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.88 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ), Y ), X ),
% 101.51/101.88 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.51/101.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39663, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39666, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.88 , clause( 171, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 101.51/101.88 , 0, clause( 39663, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 101.51/101.88 ), Y ) ) ] )
% 101.51/101.88 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.88 :=( Y, identity )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.88 , clause( 39666, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39671, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39674, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.51/101.88 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.88 , 0, clause( 39671, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 101.51/101.88 ), Y ) ) ] )
% 101.51/101.88 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 101.51/101.88 :=( X, X ), :=( Y, inverse( X ) )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 subsumption(
% 101.51/101.88 clause( 191, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.51/101.88 , clause( 39674, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.51/101.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 eqswap(
% 101.51/101.88 clause( 39677, [ =( X, multiply( X, identity ) ) ] )
% 101.51/101.88 , clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.88 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39680, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 101.51/101.88 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 101.51/101.88 ) ) ] )
% 101.51/101.88 , 0, clause( 39677, [ =( X, multiply( X, identity ) ) ] )
% 101.51/101.88 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 101.51/101.88 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 101.51/101.88
% 101.51/101.88
% 101.51/101.88 paramod(
% 101.51/101.88 clause( 39681, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.89 , 0, clause( 39680, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 101.51/101.89 ] )
% 101.51/101.89 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , clause( 39681, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39684, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.89 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.89 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 101.51/101.89 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39685, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.51/101.89 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.89 , 0, clause( 39684, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.89 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 101.51/101.89 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, identity ), :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39687, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.51/101.89 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , clause( 39685, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 101.51/101.89 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 193, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.51/101.89 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , clause( 39687, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 101.51/101.89 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39690, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 101.51/101.89 Y ) ), Y ) ) ] )
% 101.51/101.89 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 101.51/101.89 , identity ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39692, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 101.51/101.89 inverse( Y ) ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 39690, [ =( multiply( X, identity ), multiply( multiply( X,
% 101.51/101.89 inverse( Y ) ), Y ) ) ] )
% 101.51/101.89 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, inverse( Y ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39693, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.51/101.89 , clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.89 , 0, clause( 39692, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 101.51/101.89 ), inverse( Y ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39694, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 101.51/101.89 , clause( 39693, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.51/101.89 , clause( 39694, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39695, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 101.51/101.89 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 101.51/101.89 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 101.51/101.89 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39698, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.89 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X ), Y ) ) ] )
% 101.51/101.89 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 101.51/101.89 , X ) ) ] )
% 101.51/101.89 , 0, clause( 39695, [ =( 'greatest_lower_bound'( X, Z ),
% 101.51/101.89 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 101.51/101.89 , Z ) ), Z ) ) ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Z, Y ) )] )
% 101.51/101.89 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39711, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( Z, Y ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , clause( 39698, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.89 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y
% 101.51/101.89 ), X ), Y ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 210, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( Y, Z ), X ), Z ), 'greatest_lower_bound'( X, Z ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , clause( 39711, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( Z, Y ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.51/101.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39713, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.51/101.89 , clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39718, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 101.51/101.89 identity, inverse( Y ) ) ) ] )
% 101.51/101.89 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 101.51/101.89 ), identity ) ] )
% 101.51/101.89 , 0, clause( 39713, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39719, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.89 , 0, clause( 39718, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 101.51/101.89 multiply( identity, inverse( Y ) ) ) ] )
% 101.51/101.89 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 101.51/101.89 ) ] )
% 101.51/101.89 , clause( 39719, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 101.51/101.89 Y ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39722, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.51/101.89 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.89 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 101.51/101.89 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39724, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 101.51/101.89 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.51/101.89 , 0, clause( 39722, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 101.51/101.89 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.89 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 215, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 101.51/101.89 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , clause( 39724, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 101.51/101.89 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 101.51/101.89 ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.51/101.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39727, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39731, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 101.51/101.89 inverse( multiply( X, Y ) ) ) ) ] )
% 101.51/101.89 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39727, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 101.51/101.89 ), X ) ) ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39732, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39731, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 101.51/101.89 inverse( multiply( X, Y ) ) ) ) ] )
% 101.51/101.89 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 101.51/101.89 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39733, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 39732, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 101.51/101.89 ) ] )
% 101.51/101.89 , clause( 39733, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 101.51/101.89 X ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39735, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.51/101.89 , clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39738, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39735, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39739, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.51/101.89 multiply( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 39738, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 218, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 101.51/101.89 X, Y ) ) ) ] )
% 101.51/101.89 , clause( 39739, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.51/101.89 multiply( X, Y ) ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39741, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 101.51/101.89 Y ) ), Y ) ) ] )
% 101.51/101.89 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 101.51/101.89 , identity ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39747, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 101.51/101.89 identity ), multiply( inverse( Y ), X ) ) ] )
% 101.51/101.89 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39741, [ =( multiply( X, identity ), multiply( multiply( X,
% 101.51/101.89 inverse( Y ) ), Y ) ) ] )
% 101.51/101.89 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 101.51/101.89 substitution( 1, [ :=( X, inverse( multiply( inverse( X ), Y ) ) ), :=( Y
% 101.51/101.89 , X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39748, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.51/101.89 inverse( Y ), X ) ) ] )
% 101.51/101.89 , clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.89 , 0, clause( 39747, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 101.51/101.89 identity ), multiply( inverse( Y ), X ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, inverse( multiply( inverse( X ), Y ) ) )] )
% 101.51/101.89 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 219, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 101.51/101.89 Y ), X ) ) ] )
% 101.51/101.89 , clause( 39748, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.51/101.89 inverse( Y ), X ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39751, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39756, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 101.51/101.89 inverse( multiply( X, identity ) ) ) ) ] )
% 101.51/101.89 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 101.51/101.89 , identity ) ) ] )
% 101.51/101.89 , 0, clause( 39751, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 101.51/101.89 ) ) ) ) ] )
% 101.51/101.89 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39757, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.89 , 0, clause( 39756, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 101.51/101.89 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 101.51/101.89 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 227, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , clause( 39757, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39759, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39762, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 101.51/101.89 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 101.51/101.89 , clause( 130, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 101.51/101.89 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 101.51/101.89 , 0, clause( 39759, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 101.51/101.89 ) ) ) ) ] )
% 101.51/101.89 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.51/101.89 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39765, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.51/101.89 , clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39762, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.89 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 101.51/101.89 ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 101.51/101.89 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 265, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 39765, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39766, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 101.51/101.89 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39767, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 101.51/101.89 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 265, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , 0, clause( 39766, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 101.51/101.89 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39770, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.89 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 101.51/101.89 , clause( 39767, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 101.51/101.89 Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 281, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 101.51/101.89 , clause( 39770, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.89 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39771, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39774, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 101.51/101.89 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 101.51/101.89 , clause( 89, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 101.51/101.89 'least_upper_bound'( Z, X ), Y ) ) ] )
% 101.51/101.89 , 0, clause( 39771, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 101.51/101.89 ) ) ) ) ] )
% 101.51/101.89 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 101.51/101.89 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39777, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 101.51/101.89 'least_upper_bound'( Y, X ) ) ) ] )
% 101.51/101.89 , clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39774, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 101.51/101.89 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 101.51/101.89 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 378, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 101.51/101.89 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 39777, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 101.51/101.89 'least_upper_bound'( Y, X ) ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39778, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 101.51/101.89 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39779, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 101.51/101.89 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 378, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 101.51/101.89 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , 0, clause( 39778, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 101.51/101.89 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39782, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 101.51/101.89 'least_upper_bound'( Y, X ) ), identity ) ] )
% 101.51/101.89 , clause( 39779, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 101.51/101.89 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 394, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 101.51/101.89 'least_upper_bound'( X, Y ) ), identity ) ] )
% 101.51/101.89 , clause( 39782, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 101.51/101.89 'least_upper_bound'( Y, X ) ), identity ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39783, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.51/101.89 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 193, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.51/101.89 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39784, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.51/101.89 , clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39785, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 101.51/101.89 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 101.51/101.89 , clause( 39783, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 101.51/101.89 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , 0, clause( 39784, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, 'greatest_lower_bound'( identity, Y ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39786, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 101.51/101.89 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 101.51/101.89 , clause( 39785, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 534, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 101.51/101.89 , clause( 39786, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 101.51/101.89 ), inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39788, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.51/101.89 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 193, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.51/101.89 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39807, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 101.51/101.89 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( multiply(
% 101.51/101.89 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 101.51/101.89 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 101.51/101.89 ), identity ) ] )
% 101.51/101.89 , 0, clause( 39788, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 101.51/101.89 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39809, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 101.51/101.89 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( inverse(
% 101.51/101.89 Y ), identity ) ) ] )
% 101.51/101.89 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39807, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 101.51/101.89 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 101.51/101.89 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 101.51/101.89 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39810, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 101.51/101.89 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.89 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39809, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 101.51/101.89 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 101.51/101.89 inverse( Y ), identity ) ) ] )
% 101.51/101.89 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 539, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 101.51/101.89 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.89 , clause( 39810, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 101.51/101.89 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39815, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.89 , X ) ) ] )
% 101.51/101.89 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 101.51/101.89 , X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39816, [ =( X, 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 101.51/101.89 , clause( 193, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.51/101.89 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , 0, clause( 39815, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 101.51/101.89 , Y ), X ) ) ] )
% 101.51/101.89 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39817, [ =( 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 101.51/101.89 , clause( 39816, [ =( X, 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 553, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 101.51/101.89 identity, Y ) ), X ), X ) ] )
% 101.51/101.89 , clause( 39817, [ =( 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39819, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.51/101.89 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 193, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.51/101.89 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39821, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 101.51/101.89 multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 101.51/101.89 , X ) ] )
% 101.51/101.89 , 0, clause( 39819, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 101.51/101.89 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 101.51/101.89 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39822, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.89 , 0, clause( 39821, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 101.51/101.89 , multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39823, [ =( 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 39822, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 555, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 101.51/101.89 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 101.51/101.89 , clause( 39823, [ =( 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39825, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 101.51/101.89 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 193, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 101.51/101.89 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39827, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 101.51/101.89 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 101.51/101.89 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.51/101.89 , X ) ] )
% 101.51/101.89 , 0, clause( 39825, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 101.51/101.89 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 101.51/101.89 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity, Y ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39828, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 101.51/101.89 , clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.89 , 0, clause( 39827, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 101.51/101.89 , multiply( X, 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39829, [ =( 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 'least_upper_bound'( identity, Y ) ) ), X ) ] )
% 101.51/101.89 , clause( 39828, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 557, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 101.51/101.89 'least_upper_bound'( identity, X ) ) ), Y ) ] )
% 101.51/101.89 , clause( 39829, [ =( 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 'least_upper_bound'( identity, Y ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39830, [ =( X, 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 101.51/101.89 , clause( 553, [ =( 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39831, [ =( X, 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 101.51/101.89 , clause( 72, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 101.51/101.89 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 101.51/101.89 , 0, clause( 39830, [ =( X, 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 101.51/101.89 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 101.51/101.89 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39834, [ =( 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 101.51/101.89 , clause( 39831, [ =( X, 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 566, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 101.51/101.89 Y, identity ) ), X ), X ) ] )
% 101.51/101.89 , clause( 39834, [ =( 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39836, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.51/101.89 'least_upper_bound'( X, Y ), X ) ) ] )
% 101.51/101.89 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.51/101.89 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39838, [ =( 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 101.51/101.89 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , clause( 566, [ =( 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 101.51/101.89 , 0, clause( 39836, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.51/101.89 'least_upper_bound'( X, Y ), X ) ) ] )
% 101.51/101.89 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, multiply( X, 'greatest_lower_bound'( Y, identity ) ) ), :=( Y, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39839, [ =( X, 'least_upper_bound'( X, multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , clause( 566, [ =( 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 101.51/101.89 , 0, clause( 39838, [ =( 'least_upper_bound'( multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 101.51/101.89 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39841, [ =( 'least_upper_bound'( X, multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 39839, [ =( X, 'least_upper_bound'( X, multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 600, [ =( 'least_upper_bound'( X, multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 39841, [ =( 'least_upper_bound'( X, multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39844, [ =( X, 'least_upper_bound'( X, multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , clause( 600, [ =( 'least_upper_bound'( X, multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39845, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 identity ) ) ] )
% 101.51/101.89 , clause( 281, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 101.51/101.89 , 0, clause( 39844, [ =( X, 'least_upper_bound'( X, multiply( X,
% 101.51/101.89 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 101.51/101.89 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 101.51/101.89 ) ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39846, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , clause( 39845, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 identity ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 609, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , clause( 39846, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39848, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , clause( 555, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 101.51/101.89 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39849, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 identity ) ) ] )
% 101.51/101.89 , clause( 394, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 101.51/101.89 'least_upper_bound'( X, Y ) ), identity ) ] )
% 101.51/101.89 , 0, clause( 39848, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 101.51/101.89 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 101.51/101.89 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 101.51/101.89 , :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39850, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 39849, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 identity ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 619, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 39850, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39852, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 101.51/101.89 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 179, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 101.51/101.89 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39871, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 101.51/101.89 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 101.51/101.89 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 101.51/101.89 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 101.51/101.89 ), identity ) ] )
% 101.51/101.89 , 0, clause( 39852, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 101.51/101.89 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 101.51/101.89 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39873, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 101.51/101.89 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y ),
% 101.51/101.89 identity ) ) ] )
% 101.51/101.89 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39871, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 101.51/101.89 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 101.51/101.89 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 101.51/101.89 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39874, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 101.51/101.89 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.89 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39873, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 101.51/101.89 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y
% 101.51/101.89 ), identity ) ) ] )
% 101.51/101.89 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 789, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 101.51/101.89 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.89 , clause( 39874, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity
% 101.51/101.89 , Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39879, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 101.51/101.89 , X ), Y ) ) ) ] )
% 101.51/101.89 , clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 101.51/101.89 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 101.51/101.89 'least_upper_bound'( Y, Z ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39882, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.51/101.89 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.51/101.89 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.89 , 0, clause( 39879, [ =( 'least_upper_bound'( X, Y ),
% 101.51/101.89 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.51/101.89 'least_upper_bound'( Z, X ), Y ) ) ) ] )
% 101.51/101.89 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39888, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 101.51/101.89 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.89 , clause( 39882, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 835, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 101.51/101.89 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 101.51/101.89 , clause( 39888, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 101.51/101.89 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39891, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 101.51/101.89 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.51/101.89 , clause( 133, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 101.51/101.89 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39896, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y,
% 101.51/101.89 multiply( multiply( identity, 'least_upper_bound'( identity, X ) ), Y ) )
% 101.51/101.89 ) ] )
% 101.51/101.89 , clause( 557, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 101.51/101.89 'least_upper_bound'( identity, X ) ) ), Y ) ] )
% 101.51/101.89 , 0, clause( 39891, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 101.51/101.89 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 101.51/101.89 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 101.51/101.89 1, [ :=( X, Y ), :=( Y, multiply( identity, 'least_upper_bound'( identity
% 101.51/101.89 , X ) ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39899, [ =( multiply( identity, X ), 'greatest_lower_bound'( X,
% 101.51/101.89 multiply( 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 101.51/101.89 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.89 , 0, clause( 39896, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y
% 101.51/101.89 , multiply( multiply( identity, 'least_upper_bound'( identity, X ) ), Y )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( identity, Y ) )] ),
% 101.51/101.89 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39901, [ =( X, 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 101.51/101.89 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.89 , 0, clause( 39899, [ =( multiply( identity, X ), 'greatest_lower_bound'( X
% 101.51/101.89 , multiply( 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39902, [ =( 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 'least_upper_bound'( identity, Y ), X ) ), X ) ] )
% 101.51/101.89 , clause( 39901, [ =( X, 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 975, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 101.51/101.89 identity, X ), Y ) ), Y ) ] )
% 101.51/101.89 , clause( 39902, [ =( 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 'least_upper_bound'( identity, Y ), X ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39905, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 101.51/101.89 , clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.89 , 0, clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply(
% 101.51/101.89 Y, identity ) ) ] )
% 101.51/101.89 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 101.51/101.89 :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 1024, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 101.51/101.89 , clause( 39905, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39908, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.51/101.89 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.89 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 101.51/101.89 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39909, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 101.51/101.89 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 101.51/101.89 , clause( 1024, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 101.51/101.89 , 0, clause( 39908, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.51/101.89 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 101.51/101.89 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 1033, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 101.51/101.89 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 101.51/101.89 , clause( 39909, [ =( multiply( 'greatest_lower_bound'( multiply( X,
% 101.51/101.89 inverse( Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) )
% 101.51/101.89 ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39914, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 101.51/101.89 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 101.51/101.89 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.51/101.89 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39930, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 multiply( 'least_upper_bound'( identity, X ), Y ), Z ), Y ),
% 101.51/101.89 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.51/101.89 , clause( 975, [ =( 'greatest_lower_bound'( Y, multiply(
% 101.51/101.89 'least_upper_bound'( identity, X ), Y ) ), Y ) ] )
% 101.51/101.89 , 0, clause( 39914, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 101.51/101.89 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 101.51/101.89 ] )
% 101.51/101.89 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, Y ), :=( Y, multiply( 'least_upper_bound'( identity, X ), Y ) ),
% 101.51/101.89 :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 1053, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( multiply(
% 101.51/101.89 'least_upper_bound'( identity, Y ), X ), Z ), X ), 'greatest_lower_bound'(
% 101.51/101.89 X, Z ) ) ] )
% 101.51/101.89 , clause( 39930, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 multiply( 'least_upper_bound'( identity, X ), Y ), Z ), Y ),
% 101.51/101.89 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 101.51/101.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39935, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 101.51/101.89 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 101.51/101.89 , clause( 134, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 101.51/101.89 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39936, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39937, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 101.51/101.89 multiply( Y, X ), X ) ), 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 101.51/101.89 , clause( 39935, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 101.51/101.89 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 101.51/101.89 , 0, clause( 39936, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 101.51/101.89 ), X ) ) ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, 'greatest_lower_bound'( Y, identity ) ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39938, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( Y
% 101.51/101.89 , X ), X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse( X ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , clause( 39937, [ =( inverse( X ), multiply( inverse(
% 101.51/101.89 'greatest_lower_bound'( multiply( Y, X ), X ) ), 'greatest_lower_bound'(
% 101.51/101.89 Y, identity ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 1207, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X,
% 101.51/101.89 Y ), Y ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 101.51/101.89 , clause( 39938, [ =( multiply( inverse( 'greatest_lower_bound'( multiply(
% 101.51/101.89 Y, X ), X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse( X ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39939, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 101.51/101.89 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 101.51/101.89 , clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 101.51/101.89 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39940, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 101.51/101.89 , clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39941, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 101.51/101.89 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 101.51/101.89 ] )
% 101.51/101.89 , clause( 39939, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 101.51/101.89 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 101.51/101.89 , 0, clause( 39940, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39942, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 39941, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 101.51/101.89 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 101.51/101.89 ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 1638, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 39942, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39944, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39946, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 101.51/101.89 identity, X ), inverse( 'least_upper_bound'( inverse( X ), identity ) ) )
% 101.51/101.89 ) ] )
% 101.51/101.89 , clause( 789, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 101.51/101.89 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.89 , 0, clause( 39944, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 101.51/101.89 ) ) ) ) ] )
% 101.51/101.89 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39947, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 101.51/101.89 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 39946, [ =( inverse( inverse( X ) ), multiply(
% 101.51/101.89 'least_upper_bound'( identity, X ), inverse( 'least_upper_bound'( inverse(
% 101.51/101.89 X ), identity ) ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39948, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 101.51/101.89 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 39947, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 101.51/101.89 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 2186, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 101.51/101.89 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 39948, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 101.51/101.89 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39950, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39952, [ =( inverse( inverse( X ) ), multiply(
% 101.51/101.89 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 101.51/101.89 inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , clause( 539, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 101.51/101.89 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.89 , 0, clause( 39950, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 101.51/101.89 ) ) ) ) ] )
% 101.51/101.89 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39953, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 39952, [ =( inverse( inverse( X ) ), multiply(
% 101.51/101.89 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 101.51/101.89 inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39954, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 39953, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 2196, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 39954, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39956, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 101.51/101.89 inverse( Y ) ) ) ) ] )
% 101.51/101.89 , clause( 227, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39960, [ =( multiply( X, inverse( 'least_upper_bound'( Y, inverse(
% 101.51/101.89 inverse( X ) ) ) ) ), inverse( 'least_upper_bound'( multiply( Y, inverse(
% 101.51/101.89 X ) ), identity ) ) ) ] )
% 101.51/101.89 , clause( 91, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 101.51/101.89 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 101.51/101.89 , 0, clause( 39956, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X
% 101.51/101.89 , inverse( Y ) ) ) ) ] )
% 101.51/101.89 , 0, 10, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 101.51/101.89 substitution( 1, [ :=( X, 'least_upper_bound'( Y, inverse( inverse( X ) )
% 101.51/101.89 ) ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39961, [ =( multiply( X, inverse( 'least_upper_bound'( Y, X ) ) ),
% 101.51/101.89 inverse( 'least_upper_bound'( multiply( Y, inverse( X ) ), identity ) ) )
% 101.51/101.89 ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 39960, [ =( multiply( X, inverse( 'least_upper_bound'( Y,
% 101.51/101.89 inverse( inverse( X ) ) ) ) ), inverse( 'least_upper_bound'( multiply( Y
% 101.51/101.89 , inverse( X ) ), identity ) ) ) ] )
% 101.51/101.89 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39962, [ =( inverse( 'least_upper_bound'( multiply( Y, inverse( X )
% 101.51/101.89 ), identity ) ), multiply( X, inverse( 'least_upper_bound'( Y, X ) ) ) )
% 101.51/101.89 ] )
% 101.51/101.89 , clause( 39961, [ =( multiply( X, inverse( 'least_upper_bound'( Y, X ) ) )
% 101.51/101.89 , inverse( 'least_upper_bound'( multiply( Y, inverse( X ) ), identity ) )
% 101.51/101.89 ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 2540, [ =( inverse( 'least_upper_bound'( multiply( X, inverse( Y )
% 101.51/101.89 ), identity ) ), multiply( Y, inverse( 'least_upper_bound'( X, Y ) ) ) )
% 101.51/101.89 ] )
% 101.51/101.89 , clause( 39962, [ =( inverse( 'least_upper_bound'( multiply( Y, inverse( X
% 101.51/101.89 ) ), identity ) ), multiply( X, inverse( 'least_upper_bound'( Y, X ) ) )
% 101.51/101.89 ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39964, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 101.51/101.89 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 101.51/101.89 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.89 , clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 101.51/101.89 'greatest_lower_bound'( Y, Z ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39967, [ =( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.51/101.89 , clause( 619, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 39964, [ =( 'greatest_lower_bound'( Y, Z ),
% 101.51/101.89 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 101.51/101.89 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 101.51/101.89 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39972, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 101.51/101.89 , clause( 39967, [ =( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 2614, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 101.51/101.89 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 101.51/101.89 , clause( 39972, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39974, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 101.51/101.89 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 101.51/101.89 , clause( 134, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 101.51/101.89 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39979, [ =( multiply( 'greatest_lower_bound'(
% 101.51/101.89 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 101.51/101.89 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 101.51/101.89 , identity ) ) ) ) ] )
% 101.51/101.89 , clause( 2196, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , 0, clause( 39974, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 101.51/101.89 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 101.51/101.89 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39980, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 101.51/101.89 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 101.51/101.89 , identity ) ) ) ) ] )
% 101.51/101.89 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.51/101.89 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 101.51/101.89 , 0, clause( 39979, [ =( multiply( 'greatest_lower_bound'(
% 101.51/101.89 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 101.51/101.89 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 101.51/101.89 , identity ) ) ) ) ] )
% 101.51/101.89 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 101.51/101.89 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39981, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , clause( 2196, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , 0, clause( 39980, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 101.51/101.89 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 101.51/101.89 , identity ) ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39982, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 39981, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 3200, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 39982, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39984, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.51/101.89 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 101.51/101.89 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39986, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 101.51/101.89 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 101.51/101.89 , clause( 3200, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , 0, clause( 39984, [ =( 'greatest_lower_bound'( X, Y ),
% 101.51/101.89 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 101.51/101.89 'least_upper_bound'( Y, Z ) ) ) ] )
% 101.51/101.89 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 101.51/101.89 :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39987, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 101.51/101.89 , clause( 3200, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , 0, clause( 39986, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 101.51/101.89 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39989, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 101.51/101.89 , clause( 39987, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 3222, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 101.51/101.89 , clause( 39989, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 101.51/101.89 )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 39992, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 101.51/101.89 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 101.51/101.89 , clause( 93, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 101.51/101.89 'least_upper_bound'( Y, identity ), X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39997, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 101.51/101.89 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 101.51/101.89 identity ) ) ), 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , clause( 2186, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 101.51/101.89 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , 0, clause( 39992, [ =( multiply( 'least_upper_bound'( X, identity ), Y )
% 101.51/101.89 , 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 101.51/101.89 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.51/101.89 'least_upper_bound'( identity, X ) ), :=( Y, inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( X ), identity ) ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39998, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 101.51/101.89 'least_upper_bound'( inverse( X ), identity ) ) ), 'least_upper_bound'( X
% 101.51/101.89 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 101.51/101.89 'least_upper_bound'( X, Y ) ) ] )
% 101.51/101.89 , 0, clause( 39997, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 101.51/101.89 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 101.51/101.89 identity ) ) ), 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 101.51/101.89 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 39999, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , clause( 2186, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 101.51/101.89 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , 0, clause( 39998, [ =( multiply( 'least_upper_bound'( identity, X ),
% 101.51/101.89 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ),
% 101.51/101.89 'least_upper_bound'( X, inverse( 'least_upper_bound'( inverse( X ),
% 101.51/101.89 identity ) ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40000, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 39999, [ =( X, 'least_upper_bound'( X, inverse(
% 101.51/101.89 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 3329, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , clause( 40000, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40001, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , clause( 3329, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( X ), identity ) ) ), X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40002, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ) ) ) ] )
% 101.51/101.89 , clause( 378, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 101.51/101.89 'least_upper_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , 0, clause( 40001, [ =( X, 'least_upper_bound'( X, inverse(
% 101.51/101.89 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 101.51/101.89 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 101.51/101.89 substitution( 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40008, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ) ), X ) ] )
% 101.51/101.89 , clause( 40002, [ =( X, 'least_upper_bound'( X, inverse(
% 101.51/101.89 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 3351, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ) ), X ) ] )
% 101.51/101.89 , clause( 40008, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40012, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 101.51/101.89 , clause( 835, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 101.51/101.89 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40016, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), X ), 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 101.51/101.89 ) ), X ), X ) ) ] )
% 101.51/101.89 , clause( 3351, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40012, [ =( 'least_upper_bound'( X, Y ),
% 101.51/101.89 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 101.51/101.89 Y, X ) ) ) ] )
% 101.51/101.89 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.51/101.89 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40018, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), X ), X ) ] )
% 101.51/101.89 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 101.51/101.89 , X ) ] )
% 101.51/101.89 , 0, clause( 40016, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), X ), 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 101.51/101.89 ) ), X ), X ) ) ] )
% 101.51/101.89 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 3362, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), X ), X ) ] )
% 101.51/101.89 , clause( 40018, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), X ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40021, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), X ) ) ] )
% 101.51/101.89 , clause( 3362, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), X ), X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40022, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( identity, X ) ), inverse( X ) ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40021, [ =( X, 'least_upper_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( identity, inverse( X ) ) ), X ) ) ] )
% 101.51/101.89 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 101.51/101.89 X ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40023, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.89 , clause( 40022, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( identity, X ) ), inverse( X ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 3388, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.89 , clause( 40023, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40025, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.51/101.89 , X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40026, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , clause( 3388, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.89 , 0, clause( 40025, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.89 X, Y ) ) ) ] )
% 101.51/101.89 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.51/101.89 inverse( 'least_upper_bound'( identity, X ) ) ), :=( Y, inverse( X ) )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40027, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), inverse( X ) ), inverse( 'least_upper_bound'( identity,
% 101.51/101.89 X ) ) ) ] )
% 101.51/101.89 , clause( 40026, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 3413, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), inverse( X ) ), inverse( 'least_upper_bound'( identity,
% 101.51/101.89 X ) ) ) ] )
% 101.51/101.89 , clause( 40027, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), inverse( X ) ), inverse( 'least_upper_bound'( identity,
% 101.51/101.89 X ) ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40029, [ =( multiply( X, Y ), 'least_upper_bound'( multiply( X, Y )
% 101.51/101.89 , 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 101.51/101.89 T ) ) ) ] )
% 101.51/101.89 , clause( 149, [ =( 'least_upper_bound'( multiply( X, Y ),
% 101.51/101.89 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 101.51/101.89 ) ), multiply( X, Y ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40031, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 101.51/101.89 identity, 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ), inverse( X ) ), Z ) ) ) ] )
% 101.51/101.89 , clause( 191, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.51/101.89 , 0, clause( 40029, [ =( multiply( X, Y ), 'least_upper_bound'( multiply( X
% 101.51/101.89 , Y ), 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ),
% 101.51/101.89 Y ), T ) ) ) ] )
% 101.51/101.89 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, inverse( X ) ), :=( Z, Y ), :=( T, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40033, [ =( identity, 'least_upper_bound'( identity,
% 101.51/101.89 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.51/101.89 X ) ), Z ) ) ) ] )
% 101.51/101.89 , clause( 191, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.51/101.89 , 0, clause( 40031, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 101.51/101.89 identity, 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ), inverse( X ) ), Z ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40035, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.51/101.89 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ) ), identity
% 101.51/101.89 ) ] )
% 101.51/101.89 , clause( 40033, [ =( identity, 'least_upper_bound'( identity,
% 101.51/101.89 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.51/101.89 X ) ), Z ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 3898, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.51/101.89 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ) ), identity
% 101.51/101.89 ) ] )
% 101.51/101.89 , clause( 40035, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.51/101.89 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ) ), identity
% 101.51/101.89 ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 101.51/101.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40039, [ =( identity, 'least_upper_bound'( identity,
% 101.51/101.89 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.51/101.89 X ) ), Z ) ) ) ] )
% 101.51/101.89 , clause( 3898, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 101.51/101.89 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ) ), identity
% 101.51/101.89 ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40040, [ =( identity, 'least_upper_bound'( identity, multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 101.51/101.89 , clause( 3222, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, clause( 40039, [ =( identity, 'least_upper_bound'( identity,
% 101.51/101.89 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 101.51/101.89 X ) ), Z ) ) ) ] )
% 101.51/101.89 , 0, 4, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'( X, Y )
% 101.51/101.89 , inverse( X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 101.51/101.89 Y ), :=( Z, 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse(
% 101.51/101.89 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) )
% 101.51/101.89 , Z ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40042, [ =( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 101.51/101.89 , clause( 40040, [ =( identity, 'least_upper_bound'( identity, multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 4380, [ =( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 101.51/101.89 , clause( 40042, [ =( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40045, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , clause( 3413, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), inverse( X ) ), inverse( 'least_upper_bound'( identity,
% 101.51/101.89 X ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40050, [ =( inverse( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ),
% 101.51/101.89 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 101.51/101.89 , clause( 4380, [ =( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 101.51/101.89 , 0, clause( 40045, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40051, [ =( inverse( identity ), 'greatest_lower_bound'( inverse(
% 101.51/101.89 identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 101.51/101.89 ) ) ) ) ) ] )
% 101.51/101.89 , clause( 4380, [ =( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 101.51/101.89 , 0, clause( 40050, [ =( inverse( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ),
% 101.51/101.89 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 101.51/101.89 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 101.51/101.89 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40056, [ =( inverse( identity ), 'greatest_lower_bound'( identity,
% 101.51/101.89 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , clause( 168, [ =( inverse( identity ), identity ) ] )
% 101.51/101.89 , 0, clause( 40051, [ =( inverse( identity ), 'greatest_lower_bound'(
% 101.51/101.89 inverse( identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ),
% 101.51/101.89 inverse( X ) ) ) ) ) ] )
% 101.51/101.89 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40057, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 101.51/101.89 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 101.51/101.89 , clause( 168, [ =( inverse( identity ), identity ) ] )
% 101.51/101.89 , 0, clause( 40056, [ =( inverse( identity ), 'greatest_lower_bound'(
% 101.51/101.89 identity, inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 101.51/101.89 ) ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40060, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 101.51/101.89 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 101.51/101.89 , clause( 227, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , 0, clause( 40057, [ =( identity, 'greatest_lower_bound'( identity,
% 101.51/101.89 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 101.51/101.89 X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40061, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 101.51/101.89 , clause( 40060, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 101.51/101.89 X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 4413, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 101.51/101.89 , clause( 40061, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 101.51/101.89 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40063, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 101.51/101.89 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 101.51/101.89 , clause( 534, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 101.51/101.89 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40068, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 101.51/101.89 multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 101.51/101.89 identity ) ) ) ] )
% 101.51/101.89 , clause( 4413, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 101.51/101.89 , 0, clause( 40063, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 X, Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 101.51/101.89 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) )
% 101.51/101.89 ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40069, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 101.51/101.89 identity ) ) ) ] )
% 101.51/101.89 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 101.51/101.89 ), Z ) ) ] )
% 101.51/101.89 , 0, clause( 40068, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 X, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 101.51/101.89 identity ) ) ) ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40070, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 168, [ =( inverse( identity ), identity ) ] )
% 101.51/101.89 , 0, clause( 40069, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 101.51/101.89 identity ) ) ) ] )
% 101.51/101.89 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 101.51/101.89 :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40071, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 101.51/101.89 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 101.51/101.89 , clause( 184, [ =( multiply( X, identity ), X ) ] )
% 101.51/101.89 , 0, clause( 40070, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, multiply(
% 101.51/101.89 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) )] ),
% 101.51/101.89 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40072, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 101.51/101.89 , clause( 40071, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X,
% 101.51/101.89 Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 4845, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 101.51/101.89 , clause( 40072, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y )
% 101.51/101.89 , inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 101.51/101.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40074, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 101.51/101.89 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 101.51/101.89 , clause( 4845, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X )
% 101.51/101.89 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40076, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 101.51/101.89 , clause( 191, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 101.51/101.89 , 0, clause( 40074, [ =( X, 'greatest_lower_bound'( X, multiply( multiply(
% 101.51/101.89 X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40077, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 101.51/101.89 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.89 , 0, clause( 40076, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 101.51/101.89 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 101.51/101.89 , 0, 4, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( inverse(
% 101.51/101.89 X ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40078, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.51/101.89 , clause( 40077, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 4978, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.51/101.89 , clause( 40078, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40080, [ =( 'greatest_lower_bound'( Y, Z ), 'greatest_lower_bound'(
% 101.51/101.89 'greatest_lower_bound'( 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 101.51/101.89 , Z ) ), Z ), Y ) ) ] )
% 101.51/101.89 , clause( 183, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) ), X ), Y ),
% 101.51/101.89 'greatest_lower_bound'( Y, X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40083, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ), 'greatest_lower_bound'(
% 101.51/101.89 'greatest_lower_bound'( 'least_upper_bound'( Z, X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ) ] )
% 101.51/101.89 , clause( 4978, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40080, [ =( 'greatest_lower_bound'( Y, Z ),
% 101.51/101.89 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 101.51/101.89 'greatest_lower_bound'( Y, Z ) ), Z ), Y ) ) ] )
% 101.51/101.89 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, Z ), :=( Y, X ), :=( Z, inverse( 'greatest_lower_bound'( inverse(
% 101.51/101.89 X ), Y ) ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40084, [ =( X, 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( Z, X ), inverse( 'greatest_lower_bound'( inverse( X
% 101.51/101.89 ), Y ) ) ), X ) ) ] )
% 101.51/101.89 , clause( 4978, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40083, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ), 'greatest_lower_bound'(
% 101.51/101.89 'greatest_lower_bound'( 'least_upper_bound'( Z, X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40087, [ =( X, 'greatest_lower_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Z ) ), X ) ) ] )
% 101.51/101.89 , clause( 210, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( Y, Z ), X ), Z ), 'greatest_lower_bound'( X, Z ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, clause( 40084, [ =( X, 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( Z, X ), inverse( 'greatest_lower_bound'( inverse( X
% 101.51/101.89 ), Y ) ) ), X ) ) ] )
% 101.51/101.89 , 0, 2, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( inverse(
% 101.51/101.89 X ), Z ) ) ), :=( Y, Y ), :=( Z, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40088, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 inverse( X ), Y ) ), X ), X ) ] )
% 101.51/101.89 , clause( 40087, [ =( X, 'greatest_lower_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Z ) ), X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 4983, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 inverse( X ), Y ) ), X ), X ) ] )
% 101.51/101.89 , clause( 40088, [ =( 'greatest_lower_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40089, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 101.51/101.89 , clause( 4978, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40090, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 101.51/101.89 , clause( 265, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , 0, clause( 40089, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 101.51/101.89 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 101.51/101.89 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40096, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.51/101.89 , clause( 40090, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 5000, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.51/101.89 , clause( 40096, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40100, [ =( X, 'greatest_lower_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 101.51/101.89 , clause( 4983, [ =( 'greatest_lower_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40101, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40100, [ =( X, 'greatest_lower_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 101.51/101.89 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 101.51/101.89 X ) ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40102, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.89 , clause( 40101, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 5012, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.89 , clause( 40102, [ =( 'greatest_lower_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40104, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 101.51/101.89 , clause( 5000, [ =( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40105, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40104, [ =( X, 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 101.51/101.89 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 101.51/101.89 X ) ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40106, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.51/101.89 , clause( 40105, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 5073, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.51/101.89 , clause( 40106, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40108, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 101.51/101.89 , X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40109, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.89 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 101.51/101.89 Y ) ) ) ] )
% 101.51/101.89 , clause( 5073, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 101.51/101.89 , 0, clause( 40108, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 101.51/101.89 Y, X ) ) ) ] )
% 101.51/101.89 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40110, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 101.51/101.89 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 101.51/101.89 , clause( 40109, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.89 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 101.51/101.89 Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 5095, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 101.51/101.89 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 101.51/101.89 , clause( 40110, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40112, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 101.51/101.89 , X ) ) ] )
% 101.51/101.89 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 101.51/101.89 , X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40113, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.89 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ) ) ) ) ] )
% 101.51/101.89 , clause( 5012, [ =( 'greatest_lower_bound'( inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.89 , 0, clause( 40112, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 101.51/101.89 , Y ), X ) ) ] )
% 101.51/101.89 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( X ) )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40114, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , clause( 40113, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.89 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ) ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 5121, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , clause( 40114, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40116, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.89 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ) ) ) ) ] )
% 101.51/101.89 , clause( 5121, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 101.51/101.89 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40120, [ =( inverse( 'greatest_lower_bound'( 'least_upper_bound'( X
% 101.51/101.89 , Y ), Y ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y ) )
% 101.51/101.89 , inverse( Y ) ) ) ] )
% 101.51/101.89 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 101.51/101.89 , X ) ] )
% 101.51/101.89 , 0, clause( 40116, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 101.51/101.89 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 101.51/101.89 ) ) ) ) ] )
% 101.51/101.89 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40121, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 101.51/101.89 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 101.51/101.89 , X ) ] )
% 101.51/101.89 , 0, clause( 40120, [ =( inverse( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( X, Y ), Y ) ), 'least_upper_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 101.51/101.89 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40123, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 101.51/101.89 ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.89 , clause( 40121, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 5618, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 101.51/101.89 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 101.51/101.89 , clause( 40123, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 101.51/101.89 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40126, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 101.51/101.89 , clause( 5618, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 101.51/101.89 Y ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40128, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40126, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 101.51/101.89 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 101.51/101.89 :=( Y, inverse( X ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40129, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 101.51/101.89 , inverse( X ) ) ), X ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40128, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 101.51/101.89 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40131, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.51/101.89 inverse( X ) ) ), X ), X ) ] )
% 101.51/101.89 , clause( 40129, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 Y, inverse( X ) ) ), X ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 5634, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.51/101.89 inverse( X ) ) ), X ), X ) ] )
% 101.51/101.89 , clause( 40131, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 101.51/101.89 , inverse( X ) ) ), X ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40134, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 101.51/101.89 , X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40135, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 101.51/101.89 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 101.51/101.89 , Y ) ) ] )
% 101.51/101.89 , clause( 5634, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 101.51/101.89 inverse( X ) ) ), X ), X ) ] )
% 101.51/101.89 , 0, clause( 40134, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 101.51/101.89 X, Y ) ) ) ] )
% 101.51/101.89 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40136, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 101.51/101.89 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 40135, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 101.51/101.89 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 101.51/101.89 , Y ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 5676, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 101.51/101.89 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , clause( 40136, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40138, [ =( inverse( Y ), multiply( inverse( 'greatest_lower_bound'(
% 101.51/101.89 multiply( X, Y ), Y ) ), 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , clause( 1207, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X
% 101.51/101.89 , Y ), Y ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40141, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, inverse( X ) ) ), 'greatest_lower_bound'(
% 101.51/101.89 multiply( Y, X ), identity ) ) ) ] )
% 101.51/101.89 , clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 101.51/101.89 , 0, clause( 40138, [ =( inverse( Y ), multiply( inverse(
% 101.51/101.89 'greatest_lower_bound'( multiply( X, Y ), Y ) ), 'greatest_lower_bound'(
% 101.51/101.89 X, identity ) ) ) ] )
% 101.51/101.89 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 101.51/101.89 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40142, [ =( X, multiply( inverse( 'greatest_lower_bound'( Y,
% 101.51/101.89 inverse( X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) )
% 101.51/101.89 ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40141, [ =( inverse( inverse( X ) ), multiply( inverse(
% 101.51/101.89 'greatest_lower_bound'( Y, inverse( X ) ) ), 'greatest_lower_bound'(
% 101.51/101.89 multiply( Y, X ), identity ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40143, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 101.51/101.89 X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 101.51/101.89 , clause( 40142, [ =( X, multiply( inverse( 'greatest_lower_bound'( Y,
% 101.51/101.89 inverse( X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) )
% 101.51/101.89 ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 12479, [ =( multiply( inverse( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 101.51/101.89 , clause( 40143, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 101.51/101.89 X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40145, [ =( Y, multiply( inverse( 'greatest_lower_bound'( X,
% 101.51/101.89 inverse( Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) )
% 101.51/101.89 ) ] )
% 101.51/101.89 , clause( 12479, [ =( multiply( inverse( 'greatest_lower_bound'( X, inverse(
% 101.51/101.89 Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40148, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 101.51/101.89 X ), Z ) ), 'greatest_lower_bound'( multiply( 'greatest_lower_bound'(
% 101.51/101.89 multiply( 'least_upper_bound'( identity, Y ), inverse( X ) ), Z ), X ),
% 101.51/101.89 identity ) ) ) ] )
% 101.51/101.89 , clause( 1053, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 multiply( 'least_upper_bound'( identity, Y ), X ), Z ), X ),
% 101.51/101.89 'greatest_lower_bound'( X, Z ) ) ] )
% 101.51/101.89 , 0, clause( 40145, [ =( Y, multiply( inverse( 'greatest_lower_bound'( X,
% 101.51/101.89 inverse( Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) )
% 101.51/101.89 ) ] )
% 101.51/101.89 , 0, 4, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, Z )] )
% 101.51/101.89 , substitution( 1, [ :=( X, 'greatest_lower_bound'( multiply(
% 101.51/101.89 'least_upper_bound'( identity, Y ), inverse( X ) ), Z ) ), :=( Y, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40149, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 101.51/101.89 X ), Y ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( identity, Z ), multiply( Y, X ) ), identity ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , clause( 1033, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 101.51/101.89 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 101.51/101.89 , 0, clause( 40148, [ =( X, multiply( inverse( 'greatest_lower_bound'(
% 101.51/101.89 inverse( X ), Z ) ), 'greatest_lower_bound'( multiply(
% 101.51/101.89 'greatest_lower_bound'( multiply( 'least_upper_bound'( identity, Y ),
% 101.51/101.89 inverse( X ) ), Z ), X ), identity ) ) ) ] )
% 101.51/101.89 , 0, 9, substitution( 0, [ :=( X, 'least_upper_bound'( identity, Z ) ),
% 101.51/101.89 :=( Y, X ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ),
% 101.51/101.89 :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40150, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 101.51/101.89 X ), Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ) ] )
% 101.51/101.89 , clause( 110, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, clause( 40149, [ =( X, multiply( inverse( 'greatest_lower_bound'(
% 101.51/101.89 inverse( X ), Y ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 101.51/101.89 'least_upper_bound'( identity, Z ), multiply( Y, X ) ), identity ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, 8, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, identity ),
% 101.51/101.89 :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40151, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 101.51/101.89 , Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 101.51/101.89 , clause( 40150, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 101.51/101.89 X ), Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 12491, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( Y )
% 101.51/101.89 , Z ) ), 'greatest_lower_bound'( multiply( Z, Y ), identity ) ), Y ) ] )
% 101.51/101.89 , clause( 40151, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 101.51/101.89 ), Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ), X ) ]
% 101.51/101.89 )
% 101.51/101.89 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 101.51/101.89 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40153, [ =( 'greatest_lower_bound'( identity, Y ),
% 101.51/101.89 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , clause( 2614, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 101.51/101.89 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 101.51/101.89 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40154, [ =( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 101.51/101.89 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.51/101.89 , clause( 5676, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, clause( 40153, [ =( 'greatest_lower_bound'( identity, Y ),
% 101.51/101.89 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 101.51/101.89 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40155, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ] )
% 101.51/101.89 , clause( 40154, [ =( 'greatest_lower_bound'( identity, X ),
% 101.51/101.89 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 101.51/101.89 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 38990, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ] )
% 101.51/101.89 , clause( 40155, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40157, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 101.51/101.89 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 101.51/101.89 ] )
% 101.51/101.89 , clause( 1638, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40164, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.51/101.89 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 101.51/101.89 , clause( 38990, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ] )
% 101.51/101.89 , 0, clause( 40157, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 101.51/101.89 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 101.51/101.89 , Y ) ) ) ) ] )
% 101.51/101.89 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.51/101.89 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 101.51/101.89 'greatest_lower_bound'( identity, X ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40165, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.51/101.89 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 101.51/101.89 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 101.51/101.89 , clause( 215, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 101.51/101.89 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, clause( 40164, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.51/101.89 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 101.51/101.89 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 101.51/101.89 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 101.51/101.89 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 101.51/101.89 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40166, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.51/101.89 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 101.51/101.89 X ) ) ) ) ) ) ] )
% 101.51/101.89 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.89 , 0, clause( 40165, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.51/101.89 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 101.51/101.89 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 101.51/101.89 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 101.51/101.89 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40168, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.51/101.89 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40166, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.51/101.89 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 101.51/101.89 X ) ) ) ) ) ) ] )
% 101.51/101.89 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 101.51/101.89 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40169, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.51/101.89 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40168, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 101.51/101.89 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 101.51/101.89 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40174, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.51/101.89 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 101.51/101.89 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 101.51/101.89 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 101.51/101.89 , 0, clause( 40169, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.51/101.89 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 101.51/101.89 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 101.51/101.89 , [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40175, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.51/101.89 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , clause( 609, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , 0, clause( 40174, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.51/101.89 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 101.51/101.89 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40176, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.51/101.89 , clause( 5095, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 101.51/101.89 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, clause( 40175, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.51/101.89 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 inverse( X ) ) ) ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 101.51/101.89 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 39012, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.51/101.89 , clause( 40176, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40179, [ =( multiply( Y, inverse( 'least_upper_bound'( X, Y ) ) ),
% 101.51/101.89 inverse( 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) )
% 101.51/101.89 ] )
% 101.51/101.89 , clause( 2540, [ =( inverse( 'least_upper_bound'( multiply( X, inverse( Y
% 101.51/101.89 ) ), identity ) ), multiply( Y, inverse( 'least_upper_bound'( X, Y ) ) )
% 101.51/101.89 ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40186, [ =( multiply( inverse( X ), inverse( inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 101.51/101.89 multiply( identity, inverse( inverse( X ) ) ), identity ) ) ) ] )
% 101.51/101.89 , clause( 39012, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 101.51/101.89 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 101.51/101.89 , 0, clause( 40179, [ =( multiply( Y, inverse( 'least_upper_bound'( X, Y )
% 101.51/101.89 ) ), inverse( 'least_upper_bound'( multiply( X, inverse( Y ) ), identity
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 101.51/101.89 identity ), :=( Y, inverse( X ) )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40187, [ =( multiply( inverse( X ), inverse( inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( inverse( X ) ), identity ) ) ) ] )
% 101.51/101.89 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.89 , 0, clause( 40186, [ =( multiply( inverse( X ), inverse( inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 101.51/101.89 multiply( identity, inverse( inverse( X ) ) ), identity ) ) ) ] )
% 101.51/101.89 , 0, 11, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 101.51/101.89 substitution( 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40189, [ =( multiply( inverse( X ), inverse( inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 101.51/101.89 X, identity ) ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40187, [ =( multiply( inverse( X ), inverse( inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 101.51/101.89 inverse( inverse( X ) ), identity ) ) ) ] )
% 101.51/101.89 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40191, [ =( inverse( multiply( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), X ) ), inverse( 'least_upper_bound'( X, identity ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , clause( 218, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 101.51/101.89 multiply( X, Y ) ) ) ] )
% 101.51/101.89 , 0, clause( 40189, [ =( multiply( inverse( X ), inverse( inverse(
% 101.51/101.89 'greatest_lower_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'(
% 101.51/101.89 X, identity ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 101.51/101.89 , X ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40192, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , clause( 219, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 101.51/101.89 inverse( Y ), X ) ) ] )
% 101.51/101.89 , 0, clause( 40191, [ =( inverse( multiply( inverse( 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), X ) ), inverse( 'least_upper_bound'( X, identity ) ) ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) ),
% 101.51/101.89 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40193, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.51/101.89 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , clause( 539, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 101.51/101.89 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 101.51/101.89 , 0, clause( 40192, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 101.51/101.89 identity, X ) ), inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 101.51/101.89 :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 39026, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.51/101.89 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , clause( 40193, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.51/101.89 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40196, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 101.51/101.89 X ), Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ) ] )
% 101.51/101.89 , clause( 12491, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( Y
% 101.51/101.89 ), Z ) ), 'greatest_lower_bound'( multiply( Z, Y ), identity ) ), Y ) ]
% 101.51/101.89 )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40199, [ =( X, multiply( inverse( inverse( 'least_upper_bound'( X,
% 101.51/101.89 identity ) ) ), 'greatest_lower_bound'( multiply( identity, X ), identity
% 101.51/101.89 ) ) ) ] )
% 101.51/101.89 , clause( 39026, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 101.51/101.89 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , 0, clause( 40196, [ =( X, multiply( inverse( 'greatest_lower_bound'(
% 101.51/101.89 inverse( X ), Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity )
% 101.51/101.89 ) ) ] )
% 101.51/101.89 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 101.51/101.89 :=( Y, identity )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40200, [ =( X, multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.89 'greatest_lower_bound'( multiply( identity, X ), identity ) ) ) ] )
% 101.51/101.89 , clause( 192, [ =( inverse( inverse( X ) ), X ) ] )
% 101.51/101.89 , 0, clause( 40199, [ =( X, multiply( inverse( inverse( 'least_upper_bound'(
% 101.51/101.89 X, identity ) ) ), 'greatest_lower_bound'( multiply( identity, X ),
% 101.51/101.89 identity ) ) ) ] )
% 101.51/101.89 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 101.51/101.89 substitution( 1, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 paramod(
% 101.51/101.89 clause( 40201, [ =( X, multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.89 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 101.51/101.89 , 0, clause( 40200, [ =( X, multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.89 'greatest_lower_bound'( multiply( identity, X ), identity ) ) ) ] )
% 101.51/101.89 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 101.51/101.89 ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40202, [ =( multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.89 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 101.51/101.89 , clause( 40201, [ =( X, multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.89 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 39223, [ =( multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.89 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 101.51/101.89 , clause( 40202, [ =( multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.89 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 101.51/101.89 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40203, [ =( X, multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.89 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , clause( 39223, [ =( multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.89 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 101.51/101.89 , 0, substitution( 0, [ :=( X, X )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 eqswap(
% 101.51/101.89 clause( 40204, [ ~( =( a, multiply( 'least_upper_bound'( a, identity ),
% 101.51/101.89 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 101.51/101.89 , clause( 15, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 101.51/101.89 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 resolution(
% 101.51/101.89 clause( 40205, [] )
% 101.51/101.89 , clause( 40204, [ ~( =( a, multiply( 'least_upper_bound'( a, identity ),
% 101.51/101.89 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 101.51/101.89 , 0, clause( 40203, [ =( X, multiply( 'least_upper_bound'( X, identity ),
% 101.51/101.89 'greatest_lower_bound'( X, identity ) ) ) ] )
% 101.51/101.89 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 subsumption(
% 101.51/101.89 clause( 39262, [] )
% 101.51/101.89 , clause( 40205, [] )
% 101.51/101.89 , substitution( 0, [] ), permutation( 0, [] ) ).
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 end.
% 101.51/101.89
% 101.51/101.89 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 101.51/101.89
% 101.51/101.89 Memory use:
% 101.51/101.89
% 101.51/101.89 space for terms: 564401
% 101.51/101.89 space for clauses: 4101114
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 clauses generated: 28702271
% 101.51/101.89 clauses kept: 39263
% 101.51/101.89 clauses selected: 7059
% 101.51/101.89 clauses deleted: 2426
% 101.51/101.89 clauses inuse deleted: 246
% 101.51/101.89
% 101.51/101.89 subsentry: 1236967
% 101.51/101.89 literals s-matched: 1233687
% 101.51/101.89 literals matched: 1233335
% 101.51/101.89 full subsumption: 0
% 101.51/101.89
% 101.51/101.89 checksum: 1668274305
% 101.51/101.89
% 101.51/101.89
% 101.51/101.89 Bliksem ended
%------------------------------------------------------------------------------