TSTP Solution File: GRP179-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP179-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 07:35:51 EDT 2022
% Result : Unsatisfiable 104.44s 104.86s
% Output : Refutation 104.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP179-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 05:28:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 104.44/104.86 *** allocated 10000 integers for termspace/termends
% 104.44/104.86 *** allocated 10000 integers for clauses
% 104.44/104.86 *** allocated 10000 integers for justifications
% 104.44/104.86 Bliksem 1.12
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Automatic Strategy Selection
% 104.44/104.86
% 104.44/104.86 Clauses:
% 104.44/104.86 [
% 104.44/104.86 [ =( multiply( identity, X ), X ) ],
% 104.44/104.86 [ =( multiply( inverse( X ), X ), identity ) ],
% 104.44/104.86 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 104.44/104.86 ],
% 104.44/104.86 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 104.44/104.86 ,
% 104.44/104.86 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 104.44/104.86 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.44/104.86 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 104.44/104.86 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.44/104.86 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 104.44/104.86 [ =( 'least_upper_bound'( X, X ), X ) ],
% 104.44/104.86 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 104.44/104.86 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 104.44/104.86 ,
% 104.44/104.86 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 104.44/104.86 ,
% 104.44/104.86 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 104.44/104.86 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 104.44/104.86 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.44/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 104.44/104.86 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 104.44/104.86 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 104.44/104.86 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 104.44/104.86 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 104.44/104.86 [ ~( =( 'least_upper_bound'( inverse( a ), identity ), inverse(
% 104.44/104.86 'greatest_lower_bound'( a, identity ) ) ) ) ]
% 104.44/104.86 ] .
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 percentage equality = 1.000000, percentage horn = 1.000000
% 104.44/104.86 This is a pure equality problem
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Options Used:
% 104.44/104.86
% 104.44/104.86 useres = 1
% 104.44/104.86 useparamod = 1
% 104.44/104.86 useeqrefl = 1
% 104.44/104.86 useeqfact = 1
% 104.44/104.86 usefactor = 1
% 104.44/104.86 usesimpsplitting = 0
% 104.44/104.86 usesimpdemod = 5
% 104.44/104.86 usesimpres = 3
% 104.44/104.86
% 104.44/104.86 resimpinuse = 1000
% 104.44/104.86 resimpclauses = 20000
% 104.44/104.86 substype = eqrewr
% 104.44/104.86 backwardsubs = 1
% 104.44/104.86 selectoldest = 5
% 104.44/104.86
% 104.44/104.86 litorderings [0] = split
% 104.44/104.86 litorderings [1] = extend the termordering, first sorting on arguments
% 104.44/104.86
% 104.44/104.86 termordering = kbo
% 104.44/104.86
% 104.44/104.86 litapriori = 0
% 104.44/104.86 termapriori = 1
% 104.44/104.86 litaposteriori = 0
% 104.44/104.86 termaposteriori = 0
% 104.44/104.86 demodaposteriori = 0
% 104.44/104.86 ordereqreflfact = 0
% 104.44/104.86
% 104.44/104.86 litselect = negord
% 104.44/104.86
% 104.44/104.86 maxweight = 15
% 104.44/104.86 maxdepth = 30000
% 104.44/104.86 maxlength = 115
% 104.44/104.86 maxnrvars = 195
% 104.44/104.86 excuselevel = 1
% 104.44/104.86 increasemaxweight = 1
% 104.44/104.86
% 104.44/104.86 maxselected = 10000000
% 104.44/104.86 maxnrclauses = 10000000
% 104.44/104.86
% 104.44/104.86 showgenerated = 0
% 104.44/104.86 showkept = 0
% 104.44/104.86 showselected = 0
% 104.44/104.86 showdeleted = 0
% 104.44/104.86 showresimp = 1
% 104.44/104.86 showstatus = 2000
% 104.44/104.86
% 104.44/104.86 prologoutput = 1
% 104.44/104.86 nrgoals = 5000000
% 104.44/104.86 totalproof = 1
% 104.44/104.86
% 104.44/104.86 Symbols occurring in the translation:
% 104.44/104.86
% 104.44/104.86 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 104.44/104.86 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 104.44/104.86 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 104.44/104.86 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 104.44/104.86 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 104.44/104.86 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 104.44/104.86 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 104.44/104.86 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 104.44/104.86 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 104.44/104.86 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 104.44/104.86 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Starting Search:
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 25103
% 104.44/104.86 Kept: 2007
% 104.44/104.86 Inuse: 200
% 104.44/104.86 Deleted: 13
% 104.44/104.86 Deletedinuse: 8
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 106603
% 104.44/104.86 Kept: 4021
% 104.44/104.86 Inuse: 443
% 104.44/104.86 Deleted: 31
% 104.44/104.86 Deletedinuse: 8
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 175840
% 104.44/104.86 Kept: 6049
% 104.44/104.86 Inuse: 607
% 104.44/104.86 Deleted: 82
% 104.44/104.86 Deletedinuse: 32
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 301634
% 104.44/104.86 Kept: 8050
% 104.44/104.86 Inuse: 782
% 104.44/104.86 Deleted: 135
% 104.44/104.86 Deletedinuse: 80
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 689178
% 104.44/104.86 Kept: 10059
% 104.44/104.86 Inuse: 1135
% 104.44/104.86 Deleted: 189
% 104.44/104.86 Deletedinuse: 80
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 1894112
% 104.44/104.86 Kept: 12135
% 104.44/104.86 Inuse: 1719
% 104.44/104.86 Deleted: 271
% 104.44/104.86 Deletedinuse: 80
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 2147044
% 104.44/104.86 Kept: 14177
% 104.44/104.86 Inuse: 1843
% 104.44/104.86 Deleted: 293
% 104.44/104.86 Deletedinuse: 81
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 2217607
% 104.44/104.86 Kept: 16233
% 104.44/104.86 Inuse: 1885
% 104.44/104.86 Deleted: 296
% 104.44/104.86 Deletedinuse: 81
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 2354469
% 104.44/104.86 Kept: 18296
% 104.44/104.86 Inuse: 1953
% 104.44/104.86 Deleted: 301
% 104.44/104.86 Deletedinuse: 81
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying clauses:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 2519928
% 104.44/104.86 Kept: 20317
% 104.44/104.86 Inuse: 2028
% 104.44/104.86 Deleted: 2137
% 104.44/104.86 Deletedinuse: 81
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 2821131
% 104.44/104.86 Kept: 22361
% 104.44/104.86 Inuse: 2161
% 104.44/104.86 Deleted: 2137
% 104.44/104.86 Deletedinuse: 81
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 3268554
% 104.44/104.86 Kept: 24362
% 104.44/104.86 Inuse: 2337
% 104.44/104.86 Deleted: 2137
% 104.44/104.86 Deletedinuse: 81
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 3926452
% 104.44/104.86 Kept: 26379
% 104.44/104.86 Inuse: 2559
% 104.44/104.86 Deleted: 2139
% 104.44/104.86 Deletedinuse: 81
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 5145997
% 104.44/104.86 Kept: 28393
% 104.44/104.86 Inuse: 2897
% 104.44/104.86 Deleted: 2139
% 104.44/104.86 Deletedinuse: 81
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 7026178
% 104.44/104.86 Kept: 30396
% 104.44/104.86 Inuse: 3380
% 104.44/104.86 Deleted: 2161
% 104.44/104.86 Deletedinuse: 81
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 9483820
% 104.44/104.86 Kept: 32405
% 104.44/104.86 Inuse: 3967
% 104.44/104.86 Deleted: 2161
% 104.44/104.86 Deletedinuse: 81
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 14152565
% 104.44/104.86 Kept: 34422
% 104.44/104.86 Inuse: 4943
% 104.44/104.86 Deleted: 2208
% 104.44/104.86 Deletedinuse: 87
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 17349643
% 104.44/104.86 Kept: 36424
% 104.44/104.86 Inuse: 5580
% 104.44/104.86 Deleted: 2359
% 104.44/104.86 Deletedinuse: 221
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Intermediate Status:
% 104.44/104.86 Generated: 25601293
% 104.44/104.86 Kept: 38425
% 104.44/104.86 Inuse: 6647
% 104.44/104.86 Deleted: 2415
% 104.44/104.86 Deletedinuse: 253
% 104.44/104.86
% 104.44/104.86 Resimplifying inuse:
% 104.44/104.86 Done
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 Bliksems!, er is een bewijs:
% 104.44/104.86 % SZS status Unsatisfiable
% 104.44/104.86 % SZS output start Refutation
% 104.44/104.86
% 104.44/104.86 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 104.44/104.86 , Z ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 104.44/104.86 X ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 104.44/104.86 ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 104.44/104.86 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.44/104.86 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 104.44/104.86 ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 104.44/104.86 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 104.44/104.86 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 104.44/104.86 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.44/104.86 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 15, [ ~( =( 'least_upper_bound'( inverse( a ), identity ), inverse(
% 104.44/104.86 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 104.44/104.86 , identity ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 104.44/104.86 identity ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 104.44/104.86 ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 104.44/104.86 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 104.44/104.86 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 104.44/104.86 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.44/104.86 'least_upper_bound'( X, Y ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 104.44/104.86 'greatest_lower_bound'( Y, Z ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 104.44/104.86 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 104.44/104.86 'least_upper_bound'( Y, Z ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 104.44/104.86 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 104.44/104.86 multiply( Y, X ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 69, [ ~( =( 'least_upper_bound'( identity, inverse( a ) ), inverse(
% 104.44/104.86 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 71, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 104.44/104.86 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 99, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 104.44/104.86 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 103, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 104.44/104.86 'least_upper_bound'( Y, identity ), X ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 142, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 104.44/104.86 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 146, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 104.44/104.86 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 147, [ =( 'least_upper_bound'( multiply( X, Y ),
% 104.44/104.86 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 104.44/104.86 ) ), multiply( X, Y ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 155, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 161, [ =( inverse( identity ), identity ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 167, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 104.44/104.86 ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 175, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 104.44/104.86 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 177, [ =( multiply( X, identity ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 184, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.44/104.86 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 104.44/104.86 ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 204, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 104.44/104.86 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 104.44/104.86 )
% 104.44/104.86 .
% 104.44/104.86 clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 104.44/104.86 ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 221, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 104.44/104.86 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 223, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.44/104.86 inverse( X ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 241, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.44/104.86 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 246, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 104.44/104.86 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 261, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 104.44/104.86 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 317, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 104.44/104.86 'least_upper_bound'( X, Y ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 333, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 104.44/104.86 'least_upper_bound'( X, Y ) ), identity ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 535, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 104.44/104.86 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 540, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 104.44/104.86 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 552, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 104.44/104.86 identity, Y ) ), X ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 554, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 104.44/104.86 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 565, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 104.44/104.86 Y, identity ) ), X ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 594, [ =( 'least_upper_bound'( X, multiply( X,
% 104.44/104.86 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 603, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.44/104.86 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 618, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.44/104.86 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 104.44/104.86 ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 758, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 104.44/104.86 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 868, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 104.44/104.86 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 1611, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 104.44/104.86 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 104.44/104.86 ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 2174, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.44/104.86 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 2195, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 104.44/104.86 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 2636, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 104.44/104.86 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 104.44/104.86 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 3145, [ =( 'greatest_lower_bound'( X, inverse(
% 104.44/104.86 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 3166, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 104.44/104.86 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 3249, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.44/104.86 inverse( X ), identity ) ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 3272, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.44/104.86 identity, inverse( X ) ) ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 3284, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.44/104.86 identity, inverse( X ) ) ), X ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 3304, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.44/104.86 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 3333, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.44/104.86 identity, X ) ), inverse( X ) ), inverse( 'least_upper_bound'( identity,
% 104.44/104.86 X ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 4026, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 104.44/104.86 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ) ), identity
% 104.44/104.86 ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 4334, [ =( 'least_upper_bound'( identity, multiply(
% 104.44/104.86 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 4367, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 104.44/104.86 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 4800, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 104.44/104.86 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 4933, [ =( 'greatest_lower_bound'( X, inverse(
% 104.44/104.86 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 4950, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.44/104.86 inverse( X ), Y ) ), X ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 4960, [ =( 'greatest_lower_bound'( X, inverse(
% 104.44/104.86 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 4971, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.44/104.86 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 5001, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 104.44/104.86 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 5023, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 104.44/104.86 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 5049, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 104.44/104.86 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 5400, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 104.44/104.86 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 5416, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 104.44/104.86 inverse( X ) ) ), X ), X ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 5474, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 104.44/104.86 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 104.44/104.86 ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 38943, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.44/104.86 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 104.44/104.86 'greatest_lower_bound'( identity, X ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 38962, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 104.44/104.86 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 39097, [ ~( =( inverse( 'greatest_lower_bound'( identity, a ) ),
% 104.44/104.86 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.44/104.86 .
% 104.44/104.86 clause( 39665, [] )
% 104.44/104.86 .
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 % SZS output end Refutation
% 104.44/104.86 found a proof!
% 104.44/104.86
% 104.44/104.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 104.44/104.86
% 104.44/104.86 initialclauses(
% 104.44/104.86 [ clause( 39667, [ =( multiply( identity, X ), X ) ] )
% 104.44/104.86 , clause( 39668, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.44/104.86 , clause( 39669, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.44/104.86 multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 39670, [ =( 'greatest_lower_bound'( X, Y ),
% 104.44/104.86 'greatest_lower_bound'( Y, X ) ) ] )
% 104.44/104.86 , clause( 39671, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 104.44/104.86 X ) ) ] )
% 104.44/104.86 , clause( 39672, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 104.44/104.86 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 104.44/104.86 )
% 104.44/104.86 , clause( 39673, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 104.44/104.86 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , clause( 39674, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 104.44/104.86 , clause( 39675, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 104.44/104.86 , clause( 39676, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.44/104.86 ) ), X ) ] )
% 104.44/104.86 , clause( 39677, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.44/104.86 ) ), X ) ] )
% 104.44/104.86 , clause( 39678, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.44/104.86 , clause( 39679, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.44/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.44/104.86 , clause( 39680, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 39681, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 104.44/104.86 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 39682, [ ~( =( 'least_upper_bound'( inverse( a ), identity ),
% 104.44/104.86 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.44/104.86 ] ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.44/104.86 , clause( 39667, [ =( multiply( identity, X ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.44/104.86 , clause( 39668, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39688, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 104.44/104.86 , Y ), Z ) ) ] )
% 104.44/104.86 , clause( 39669, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.44/104.86 multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 104.44/104.86 , Z ) ) ] )
% 104.44/104.86 , clause( 39688, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 104.44/104.86 X, Y ), Z ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 104.44/104.86 X ) ) ] )
% 104.44/104.86 , clause( 39670, [ =( 'greatest_lower_bound'( X, Y ),
% 104.44/104.86 'greatest_lower_bound'( Y, X ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 104.44/104.86 ] )
% 104.44/104.86 , clause( 39671, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 104.44/104.86 X ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 104.44/104.86 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , clause( 39672, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 104.44/104.86 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 104.44/104.86 )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.44/104.86 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , clause( 39673, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 104.44/104.86 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 104.44/104.86 ) ] )
% 104.44/104.86 , clause( 39676, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.44/104.86 ) ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 , clause( 39677, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.44/104.86 ) ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39730, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.44/104.86 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 39678, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 104.44/104.86 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 39730, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 104.44/104.86 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39741, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 104.44/104.86 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 39679, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.44/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 104.44/104.86 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 39741, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 104.44/104.86 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39753, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.44/104.86 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , clause( 39680, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 104.44/104.86 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , clause( 39753, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 104.44/104.86 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39766, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 104.44/104.86 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , clause( 39681, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 104.44/104.86 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.44/104.86 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , clause( 39766, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 104.44/104.86 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 15, [ ~( =( 'least_upper_bound'( inverse( a ), identity ), inverse(
% 104.44/104.86 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.44/104.86 , clause( 39682, [ ~( =( 'least_upper_bound'( inverse( a ), identity ),
% 104.44/104.86 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.44/104.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39781, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 104.44/104.86 Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.44/104.86 ), Z ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39784, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 104.44/104.86 ), identity ) ] )
% 104.44/104.86 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.44/104.86 , 0, clause( 39781, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.44/104.86 multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 104.44/104.86 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 104.44/104.86 , identity ) ] )
% 104.44/104.86 , clause( 39784, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 104.44/104.86 , Y ), identity ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39790, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 104.44/104.86 Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.44/104.86 ), Z ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39795, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 104.44/104.86 , identity ) ) ] )
% 104.44/104.86 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.44/104.86 , 0, clause( 39790, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.44/104.86 multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.44/104.86 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 104.44/104.86 identity ) ) ] )
% 104.44/104.86 , clause( 39795, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 104.44/104.86 X, identity ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39800, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 104.44/104.86 Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.44/104.86 ), Z ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39805, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 104.44/104.86 ) ) ] )
% 104.44/104.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.44/104.86 , 0, clause( 39800, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.44/104.86 multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.44/104.86 :=( Y, identity ), :=( Z, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 104.44/104.86 ] )
% 104.44/104.86 , clause( 39805, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 104.44/104.86 Y ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39810, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39811, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 104.44/104.86 , X ) ) ] )
% 104.44/104.86 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.44/104.86 , X ) ) ] )
% 104.44/104.86 , 0, clause( 39810, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.44/104.86 X, Y ) ) ) ] )
% 104.44/104.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 104.44/104.86 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39814, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 104.44/104.86 ), X ) ] )
% 104.44/104.86 , clause( 39811, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 104.44/104.86 ), X ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 , clause( 39814, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 104.44/104.86 X ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39815, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39816, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.44/104.86 ) ] )
% 104.44/104.86 , 0, clause( 39815, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.44/104.86 X, Y ) ) ) ] )
% 104.44/104.86 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.44/104.86 :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39819, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 104.44/104.86 ), X ) ] )
% 104.44/104.86 , clause( 39816, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 104.44/104.86 , X ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 , clause( 39819, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 104.44/104.86 ) ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39820, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 104.44/104.86 , X ) ) ] )
% 104.44/104.86 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39821, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 104.44/104.86 , X ) ) ] )
% 104.44/104.86 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.44/104.86 ) ] )
% 104.44/104.86 , 0, clause( 39820, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 104.44/104.86 , Y ), X ) ) ] )
% 104.44/104.86 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.44/104.86 :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39824, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 104.44/104.86 ), X ) ] )
% 104.44/104.86 , clause( 39821, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 104.44/104.86 ), X ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 , clause( 39824, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 104.44/104.86 X ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39826, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 104.44/104.86 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.44/104.86 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39831, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 104.44/104.86 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 104.44/104.86 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, clause( 39826, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 104.44/104.86 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 104.44/104.86 ] )
% 104.44/104.86 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 104.44/104.86 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 104.44/104.86 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 104.44/104.86 , clause( 39831, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 104.44/104.86 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39836, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 104.44/104.86 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.44/104.86 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39839, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 104.44/104.86 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.44/104.86 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, clause( 39836, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 104.44/104.86 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 104.44/104.86 ] )
% 104.44/104.86 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 104.44/104.86 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Y, Z ) )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 104.44/104.86 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 104.44/104.86 , clause( 39839, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 104.44/104.86 ), 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39844, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39847, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 104.44/104.86 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, clause( 39844, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.44/104.86 Y, X ) ) ) ] )
% 104.44/104.86 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.44/104.86 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39848, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 104.44/104.86 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.44/104.86 , clause( 39847, [ =( 'greatest_lower_bound'( X, Y ),
% 104.44/104.86 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 104.44/104.86 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.44/104.86 , clause( 39848, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 104.44/104.86 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39850, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39851, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 104.44/104.86 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.44/104.86 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , 0, clause( 39850, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 X, Y ) ) ) ] )
% 104.44/104.86 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.44/104.86 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 104.44/104.86 ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39852, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 104.44/104.86 , clause( 39851, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 104.44/104.86 , clause( 39852, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39854, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39857, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.44/104.86 'least_upper_bound'( X, Y ), X ) ) ] )
% 104.44/104.86 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, clause( 39854, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 X, Y ) ) ) ] )
% 104.44/104.86 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.44/104.86 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39858, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.44/104.86 'least_upper_bound'( X, Y ) ) ] )
% 104.44/104.86 , clause( 39857, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.44/104.86 'least_upper_bound'( X, Y ), X ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.44/104.86 'least_upper_bound'( X, Y ) ) ] )
% 104.44/104.86 , clause( 39858, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 104.44/104.86 , 'least_upper_bound'( X, Y ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39859, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39860, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.44/104.86 , X ) ) ] )
% 104.44/104.86 , 0, clause( 39859, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 X, Y ) ) ) ] )
% 104.44/104.86 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.44/104.86 :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39863, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 104.44/104.86 ), X ) ] )
% 104.44/104.86 , clause( 39860, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 104.44/104.86 , X ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 , clause( 39863, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 104.44/104.86 ) ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39864, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39865, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.44/104.86 , X ) ) ] )
% 104.44/104.86 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.44/104.86 ) ] )
% 104.44/104.86 , 0, clause( 39864, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 X, Y ) ) ) ] )
% 104.44/104.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 104.44/104.86 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39868, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 104.44/104.86 ), X ) ] )
% 104.44/104.86 , clause( 39865, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 104.44/104.86 ), X ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 , clause( 39868, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 104.44/104.86 X ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39869, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39870, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 104.44/104.86 , X ) ) ] )
% 104.44/104.86 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.44/104.86 ) ] )
% 104.44/104.86 , 0, clause( 39869, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.44/104.86 Y, X ) ) ) ] )
% 104.44/104.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 104.44/104.86 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39873, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 104.44/104.86 ), X ) ] )
% 104.44/104.86 , clause( 39870, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 104.44/104.86 ), X ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 104.44/104.86 X ) ] )
% 104.44/104.86 , clause( 39873, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.44/104.86 X ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39875, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.44/104.86 , Y ) ) ] )
% 104.44/104.86 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39876, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 104.44/104.86 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 104.44/104.86 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.44/104.86 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.44/104.86 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , 0, clause( 39875, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 104.44/104.86 , Y ), Y ) ) ] )
% 104.44/104.86 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.44/104.86 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 104.44/104.86 ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39877, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 104.44/104.86 'greatest_lower_bound'( X, Y ) ) ] )
% 104.44/104.86 , clause( 39876, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 104.44/104.86 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 104.44/104.86 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 104.44/104.86 'greatest_lower_bound'( Y, Z ) ) ] )
% 104.44/104.86 , clause( 39877, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.44/104.86 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 104.44/104.86 'greatest_lower_bound'( X, Y ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39879, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 104.44/104.86 ) ) ) ] )
% 104.44/104.86 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 104.44/104.86 , X ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39880, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 104.44/104.86 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 104.44/104.86 , X ), Y ) ) ) ] )
% 104.44/104.86 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.44/104.86 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , 0, clause( 39879, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.44/104.86 Y, X ) ) ) ] )
% 104.44/104.86 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.44/104.86 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 104.44/104.86 ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39881, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 104.44/104.86 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 104.44/104.86 'least_upper_bound'( X, Y ) ) ] )
% 104.44/104.86 , clause( 39880, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 104.44/104.86 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 104.44/104.86 , X ), Y ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 104.44/104.86 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 104.44/104.86 'least_upper_bound'( Y, Z ) ) ] )
% 104.44/104.86 , clause( 39881, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 104.44/104.86 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 104.44/104.86 'least_upper_bound'( X, Y ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39883, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.44/104.86 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.44/104.86 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39885, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 104.44/104.86 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 104.44/104.86 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.44/104.86 , 0, clause( 39883, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.44/104.86 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.44/104.86 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39888, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 104.44/104.86 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.44/104.86 , clause( 39885, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 104.44/104.86 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 104.44/104.86 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.44/104.86 , clause( 39888, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 104.44/104.86 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39891, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 104.44/104.86 ) ) ] )
% 104.44/104.86 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 104.44/104.86 ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39894, [ =( multiply( inverse( identity ), X ), multiply( identity
% 104.44/104.86 , X ) ) ] )
% 104.44/104.86 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.44/104.86 , 0, clause( 39891, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 104.44/104.86 ), Y ) ) ] )
% 104.44/104.86 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 104.44/104.86 inverse( identity ) ), :=( Y, X )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39895, [ =( multiply( inverse( identity ), X ), X ) ] )
% 104.44/104.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.44/104.86 , 0, clause( 39894, [ =( multiply( inverse( identity ), X ), multiply(
% 104.44/104.86 identity, X ) ) ] )
% 104.44/104.86 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.44/104.86 ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 104.44/104.86 , clause( 39895, [ =( multiply( inverse( identity ), X ), X ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39898, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 104.44/104.86 Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.44/104.86 ), Z ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39903, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 104.44/104.86 multiply( X, Y ) ) ] )
% 104.44/104.86 , clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 104.44/104.86 , 0, clause( 39898, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 104.44/104.86 multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.44/104.86 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 104.44/104.86 multiply( Y, X ) ) ] )
% 104.44/104.86 , clause( 39903, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 104.44/104.86 multiply( X, Y ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.44/104.86 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39908, [ ~( =( inverse( 'greatest_lower_bound'( a, identity ) ),
% 104.44/104.86 'least_upper_bound'( inverse( a ), identity ) ) ) ] )
% 104.44/104.86 , clause( 15, [ ~( =( 'least_upper_bound'( inverse( a ), identity ),
% 104.44/104.86 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39909, [ ~( =( inverse( 'greatest_lower_bound'( a, identity ) ),
% 104.44/104.86 'least_upper_bound'( identity, inverse( a ) ) ) ) ] )
% 104.44/104.86 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.44/104.86 ) ] )
% 104.44/104.86 , 0, clause( 39908, [ ~( =( inverse( 'greatest_lower_bound'( a, identity )
% 104.44/104.86 ), 'least_upper_bound'( inverse( a ), identity ) ) ) ] )
% 104.44/104.86 , 0, 6, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, identity )] ),
% 104.44/104.86 substitution( 1, [] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39912, [ ~( =( 'least_upper_bound'( identity, inverse( a ) ),
% 104.44/104.86 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.44/104.86 , clause( 39909, [ ~( =( inverse( 'greatest_lower_bound'( a, identity ) ),
% 104.44/104.86 'least_upper_bound'( identity, inverse( a ) ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 69, [ ~( =( 'least_upper_bound'( identity, inverse( a ) ), inverse(
% 104.44/104.86 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.44/104.86 , clause( 39912, [ ~( =( 'least_upper_bound'( identity, inverse( a ) ),
% 104.44/104.86 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.44/104.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39913, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.44/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.44/104.86 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 104.44/104.86 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39915, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 104.44/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.44/104.86 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.44/104.86 , X ) ) ] )
% 104.44/104.86 , 0, clause( 39913, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.44/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.44/104.86 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 104.44/104.86 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39917, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 104.44/104.86 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 104.44/104.86 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 104.44/104.86 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, clause( 39915, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 104.44/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.44/104.86 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.44/104.86 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 71, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 104.44/104.86 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 104.44/104.86 , clause( 39917, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.44/104.86 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39918, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.44/104.86 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.44/104.86 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39920, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 104.44/104.86 ) ] )
% 104.44/104.86 , 0, clause( 39918, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.44/104.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.44/104.86 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39922, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 104.44/104.86 'least_upper_bound'( Y, X ), Z ) ) ] )
% 104.44/104.86 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.44/104.86 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , 0, clause( 39920, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.44/104.86 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 104.44/104.86 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 subsumption(
% 104.44/104.86 clause( 99, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 104.44/104.86 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.44/104.86 , clause( 39922, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 104.44/104.86 'least_upper_bound'( Y, X ), Z ) ) ] )
% 104.44/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.44/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 eqswap(
% 104.44/104.86 clause( 39924, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.44/104.86 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.44/104.86 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.44/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.44/104.86
% 104.44/104.86
% 104.44/104.86 paramod(
% 104.44/104.86 clause( 39926, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 104.44/104.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.44/104.86 , 0, clause( 39924, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.44/104.86 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.44/104.86 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.44/104.86 :=( Y, Y ), :=( Z, identity )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39928, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 104.51/104.86 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.51/104.86 , clause( 39926, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 104.51/104.86 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 103, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 104.51/104.86 'least_upper_bound'( Y, identity ), X ) ) ] )
% 104.51/104.86 , clause( 39928, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 104.51/104.86 'least_upper_bound'( X, identity ), Y ) ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.86 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39929, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.51/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.51/104.86 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 104.51/104.86 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39931, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 104.51/104.86 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.51/104.86 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.51/104.86 , X ) ) ] )
% 104.51/104.86 , 0, clause( 39929, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.51/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.51/104.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.86 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39933, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 104.51/104.86 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 104.51/104.86 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 104.51/104.86 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.51/104.86 , 0, clause( 39931, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 104.51/104.86 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 104.51/104.86 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 104.51/104.86 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 142, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 104.51/104.86 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 104.51/104.86 , clause( 39933, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 104.51/104.86 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.51/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39935, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.51/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.51/104.86 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 104.51/104.86 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39937, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 104.51/104.86 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 104.51/104.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.51/104.86 , 0, clause( 39935, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.51/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.51/104.86 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.86 :=( Y, Y ), :=( Z, identity )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39939, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 104.51/104.86 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 104.51/104.86 , clause( 39937, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 104.51/104.86 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 146, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 104.51/104.86 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 104.51/104.86 , clause( 39939, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 104.51/104.86 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.86 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39941, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.51/104.86 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 104.51/104.86 , clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.51/104.86 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39942, [ =( multiply( X, Y ), 'least_upper_bound'( multiply( X, Y )
% 104.51/104.86 , 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.51/104.86 T ) ) ) ] )
% 104.51/104.86 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 104.51/104.86 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.51/104.86 , 0, clause( 39941, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.51/104.86 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 104.51/104.86 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.51/104.86 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( Z, Y ) ),
% 104.51/104.86 :=( Z, T )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39943, [ =( 'least_upper_bound'( multiply( X, Y ),
% 104.51/104.86 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 104.51/104.86 ) ), multiply( X, Y ) ) ] )
% 104.51/104.86 , clause( 39942, [ =( multiply( X, Y ), 'least_upper_bound'( multiply( X, Y
% 104.51/104.86 ), 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y )
% 104.51/104.86 , T ) ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 104.51/104.86 ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 147, [ =( 'least_upper_bound'( multiply( X, Y ),
% 104.51/104.86 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 104.51/104.86 ) ), multiply( X, Y ) ) ] )
% 104.51/104.86 , clause( 39943, [ =( 'least_upper_bound'( multiply( X, Y ),
% 104.51/104.86 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 104.51/104.86 ) ), multiply( X, Y ) ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 104.51/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39945, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 104.51/104.86 identity ) ), Y ) ) ] )
% 104.51/104.86 , clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 104.51/104.86 multiply( Y, X ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39948, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 104.51/104.86 identity, X ) ) ] )
% 104.51/104.86 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.51/104.86 , 0, clause( 39945, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 104.51/104.86 identity ) ), Y ) ) ] )
% 104.51/104.86 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 104.51/104.86 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39949, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 104.51/104.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.51/104.86 , 0, clause( 39948, [ =( multiply( inverse( inverse( identity ) ), X ),
% 104.51/104.86 multiply( identity, X ) ) ] )
% 104.51/104.86 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.51/104.86 ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 155, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 104.51/104.86 , clause( 39949, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 104.51/104.86 )
% 104.51/104.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39951, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 104.51/104.86 , clause( 155, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39953, [ =( inverse( identity ), identity ) ] )
% 104.51/104.86 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.51/104.86 , 0, clause( 39951, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 104.51/104.86 ] )
% 104.51/104.86 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 104.51/104.86 , [ :=( X, inverse( identity ) )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 161, [ =( inverse( identity ), identity ) ] )
% 104.51/104.86 , clause( 39953, [ =( inverse( identity ), identity ) ] )
% 104.51/104.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39956, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 104.51/104.86 Y ) ), Y ) ) ] )
% 104.51/104.86 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 104.51/104.86 , identity ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39959, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 104.51/104.86 identity, X ) ) ] )
% 104.51/104.86 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.51/104.86 , 0, clause( 39956, [ =( multiply( X, identity ), multiply( multiply( X,
% 104.51/104.86 inverse( Y ) ), Y ) ) ] )
% 104.51/104.86 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 104.51/104.86 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39960, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.51/104.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.51/104.86 , 0, clause( 39959, [ =( multiply( inverse( inverse( X ) ), identity ),
% 104.51/104.86 multiply( identity, X ) ) ] )
% 104.51/104.86 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.51/104.86 ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 167, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.51/104.86 , clause( 39960, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 104.51/104.86 )
% 104.51/104.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39963, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 104.51/104.86 ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39966, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , clause( 167, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.51/104.86 , 0, clause( 39963, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 104.51/104.86 ), Y ) ) ] )
% 104.51/104.86 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.51/104.86 inverse( X ) ) ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 104.51/104.86 ) ] )
% 104.51/104.86 , clause( 39966, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 104.51/104.86 Y ) ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.86 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39973, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.51/104.86 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.51/104.86 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 104.51/104.86 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39976, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 104.51/104.86 identity, Y ) ), 'least_upper_bound'( X, multiply( inverse( inverse( X )
% 104.51/104.86 ), Y ) ) ) ] )
% 104.51/104.86 , clause( 167, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.51/104.86 , 0, clause( 39973, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 104.51/104.86 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.51/104.86 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.51/104.86 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39986, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 104.51/104.86 identity, Y ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.86 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , 0, clause( 39976, [ =( multiply( inverse( inverse( X ) ),
% 104.51/104.86 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply(
% 104.51/104.86 inverse( inverse( X ) ), Y ) ) ) ] )
% 104.51/104.86 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.86 :=( X, X ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39988, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.51/104.86 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.86 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , 0, clause( 39986, [ =( multiply( inverse( inverse( X ) ),
% 104.51/104.86 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply( X
% 104.51/104.86 , Y ) ) ) ] )
% 104.51/104.86 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 104.51/104.86 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39989, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.51/104.86 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.51/104.86 , clause( 39988, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.51/104.86 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 175, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 104.51/104.86 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.51/104.86 , clause( 39989, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 104.51/104.86 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.86 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39990, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 39993, [ =( multiply( X, identity ), X ) ] )
% 104.51/104.86 , clause( 167, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 104.51/104.86 , 0, clause( 39990, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 104.51/104.86 ), Y ) ) ] )
% 104.51/104.86 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.86 :=( Y, identity )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 177, [ =( multiply( X, identity ), X ) ] )
% 104.51/104.86 , clause( 39993, [ =( multiply( X, identity ), X ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 39998, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 40001, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.51/104.86 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.51/104.86 , 0, clause( 39998, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 104.51/104.86 ), Y ) ) ] )
% 104.51/104.86 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 104.51/104.86 :=( X, X ), :=( Y, inverse( X ) )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 184, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.51/104.86 , clause( 40001, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 40004, [ =( X, multiply( X, identity ) ) ] )
% 104.51/104.86 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 40007, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 104.51/104.86 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , 0, clause( 40004, [ =( X, multiply( X, identity ) ) ] )
% 104.51/104.86 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 104.51/104.86 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 40008, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.86 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 104.51/104.86 , 0, clause( 40007, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 104.51/104.86 ] )
% 104.51/104.86 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.51/104.86 ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.86 , clause( 40008, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 40011, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.51/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.51/104.86 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 104.51/104.86 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 40012, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 104.51/104.86 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.86 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 104.51/104.86 , 0, clause( 40011, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 104.51/104.86 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 104.51/104.86 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.86 :=( Y, identity ), :=( Z, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 40014, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.51/104.86 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.51/104.86 , clause( 40012, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 104.51/104.86 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.51/104.86 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.51/104.86 , clause( 40014, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 104.51/104.86 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.86 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 40017, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 104.51/104.86 Y ) ), Y ) ) ] )
% 104.51/104.86 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 104.51/104.86 , identity ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 40019, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 104.51/104.86 inverse( Y ) ) ) ] )
% 104.51/104.86 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.86 , 0, clause( 40017, [ =( multiply( X, identity ), multiply( multiply( X,
% 104.51/104.86 inverse( Y ) ), Y ) ) ] )
% 104.51/104.86 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.86 :=( Y, inverse( Y ) )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 40020, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.51/104.86 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 104.51/104.86 , 0, clause( 40019, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 104.51/104.86 ), inverse( Y ) ) ) ] )
% 104.51/104.86 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.86 :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 40021, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 104.51/104.86 , clause( 40020, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.51/104.86 , clause( 40021, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.86 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 40023, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.51/104.86 , clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 40028, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 104.51/104.86 identity, inverse( Y ) ) ) ] )
% 104.51/104.86 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 104.51/104.86 ), identity ) ] )
% 104.51/104.86 , 0, clause( 40023, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 104.51/104.86 )
% 104.51/104.86 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.86 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 40029, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.51/104.86 , 0, clause( 40028, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 104.51/104.86 multiply( identity, inverse( Y ) ) ) ] )
% 104.51/104.86 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 104.51/104.86 :=( X, X ), :=( Y, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 104.51/104.86 ) ] )
% 104.51/104.86 , clause( 40029, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 104.51/104.86 Y ) ) ] )
% 104.51/104.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.86 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 40032, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.51/104.86 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.51/104.86 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 104.51/104.86 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 paramod(
% 104.51/104.86 clause( 40034, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 104.51/104.86 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 104.51/104.86 )
% 104.51/104.86 , clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.51/104.86 , 0, clause( 40032, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 104.51/104.86 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 104.51/104.86 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.86 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 subsumption(
% 104.51/104.86 clause( 204, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 104.51/104.86 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 104.51/104.86 )
% 104.51/104.86 , clause( 40034, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 104.51/104.86 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 104.51/104.86 ] )
% 104.51/104.86 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.51/104.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.86
% 104.51/104.86
% 104.51/104.86 eqswap(
% 104.51/104.86 clause( 40037, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.51/104.86 ) ) ] )
% 104.51/104.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40041, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 104.51/104.87 inverse( multiply( X, Y ) ) ) ) ] )
% 104.51/104.87 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, clause( 40037, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 104.51/104.87 ), X ) ) ] )
% 104.51/104.87 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40042, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, clause( 40041, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 104.51/104.87 inverse( multiply( X, Y ) ) ) ) ] )
% 104.51/104.87 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 104.51/104.87 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40043, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 40042, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 104.51/104.87 ) ] )
% 104.51/104.87 , clause( 40043, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 104.51/104.87 X ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40044, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 104.51/104.87 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 104.51/104.87 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 104.51/104.87 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40047, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 104.51/104.87 Y, 'greatest_lower_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ) ] )
% 104.51/104.87 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 104.51/104.87 , X ) ) ] )
% 104.51/104.87 , 0, clause( 40044, [ =( 'greatest_lower_bound'( X, Z ),
% 104.51/104.87 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 104.51/104.87 , Z ) ), Z ) ) ] )
% 104.51/104.87 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X,
% 104.51/104.87 'least_upper_bound'( Z, Y ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 104.51/104.87 , X ), :=( Y, Z ), :=( Z, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40060, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 104.51/104.87 'greatest_lower_bound'( Y, X ), 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.51/104.87 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 104.51/104.87 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 104.51/104.87 , 0, clause( 40047, [ =( 'greatest_lower_bound'( X, Y ),
% 104.51/104.87 'greatest_lower_bound'( Y, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.51/104.87 Z, Y ) ) ) ) ] )
% 104.51/104.87 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 104.51/104.87 'least_upper_bound'( Z, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 104.51/104.87 ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40061, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 104.51/104.87 , 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.51/104.87 , clause( 40060, [ =( 'greatest_lower_bound'( X, Y ),
% 104.51/104.87 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 104.51/104.87 'least_upper_bound'( Z, Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 221, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 104.51/104.87 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 104.51/104.87 , clause( 40061, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 104.51/104.87 ), 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.51/104.87 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40063, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40068, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.51/104.87 inverse( multiply( X, identity ) ) ) ) ] )
% 104.51/104.87 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 104.51/104.87 , identity ) ) ] )
% 104.51/104.87 , 0, clause( 40063, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 104.51/104.87 ) ) ) ) ] )
% 104.51/104.87 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.51/104.87 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40069, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.51/104.87 inverse( X ) ) ) ] )
% 104.51/104.87 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 104.51/104.87 , 0, clause( 40068, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 104.51/104.87 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 104.51/104.87 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.87 :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 223, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.51/104.87 inverse( X ) ) ) ] )
% 104.51/104.87 , clause( 40069, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.51/104.87 inverse( X ) ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40072, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.51/104.87 , X ) ) ] )
% 104.51/104.87 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40075, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 104.51/104.87 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , clause( 221, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X )
% 104.51/104.87 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 104.51/104.87 , 0, clause( 40072, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 104.51/104.87 , Y ), X ) ) ] )
% 104.51/104.87 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 104.51/104.87 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 104.51/104.87 'least_upper_bound'( Z, X ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40076, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.51/104.87 , clause( 40075, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 104.51/104.87 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 241, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.51/104.87 , clause( 40076, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40077, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40080, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 104.51/104.87 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 104.51/104.87 , clause( 142, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 104.51/104.87 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 104.51/104.87 , 0, clause( 40077, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 104.51/104.87 ) ) ) ) ] )
% 104.51/104.87 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.51/104.87 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40083, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.51/104.87 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, clause( 40080, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.51/104.87 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 104.51/104.87 ] )
% 104.51/104.87 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 104.51/104.87 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 246, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , clause( 40083, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40084, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 104.51/104.87 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40085, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 104.51/104.87 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , clause( 246, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , 0, clause( 40084, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 104.51/104.87 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.51/104.87 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40088, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.51/104.87 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 104.51/104.87 , clause( 40085, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 104.51/104.87 Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 261, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 104.51/104.87 , clause( 40088, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.51/104.87 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40089, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40092, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 104.51/104.87 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 104.51/104.87 , clause( 99, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 104.51/104.87 'least_upper_bound'( Z, X ), Y ) ) ] )
% 104.51/104.87 , 0, clause( 40089, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 104.51/104.87 ) ) ) ) ] )
% 104.51/104.87 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 104.51/104.87 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40095, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 104.51/104.87 'least_upper_bound'( Y, X ) ) ) ] )
% 104.51/104.87 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, clause( 40092, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 104.51/104.87 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 104.51/104.87 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 104.51/104.87 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 317, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 104.51/104.87 'least_upper_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , clause( 40095, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 104.51/104.87 'least_upper_bound'( Y, X ) ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40096, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 104.51/104.87 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40097, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 104.51/104.87 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , clause( 317, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 104.51/104.87 'least_upper_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , 0, clause( 40096, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 104.51/104.87 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.51/104.87 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40100, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 104.51/104.87 'least_upper_bound'( Y, X ) ), identity ) ] )
% 104.51/104.87 , clause( 40097, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 104.51/104.87 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 333, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 104.51/104.87 'least_upper_bound'( X, Y ) ), identity ) ] )
% 104.51/104.87 , clause( 40100, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 104.51/104.87 'least_upper_bound'( Y, X ) ), identity ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40101, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 104.51/104.87 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.87 , clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.51/104.87 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40102, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.51/104.87 , clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40103, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 104.51/104.87 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 104.51/104.87 , clause( 40101, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 104.51/104.87 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.87 , 0, clause( 40102, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 104.51/104.87 )
% 104.51/104.87 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, 'greatest_lower_bound'( identity, Y ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40104, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 104.51/104.87 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 104.51/104.87 , clause( 40103, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 104.51/104.87 Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 535, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 104.51/104.87 , clause( 40104, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 104.51/104.87 ), inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40106, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 104.51/104.87 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.87 , clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.51/104.87 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40125, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 104.51/104.87 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( multiply(
% 104.51/104.87 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 104.51/104.87 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 104.51/104.87 ), identity ) ] )
% 104.51/104.87 , 0, clause( 40106, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 104.51/104.87 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.87 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40127, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 104.51/104.87 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( inverse(
% 104.51/104.87 Y ), identity ) ) ] )
% 104.51/104.87 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, clause( 40125, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 104.51/104.87 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 104.51/104.87 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 104.51/104.87 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40128, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 104.51/104.87 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 104.51/104.87 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, clause( 40127, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 104.51/104.87 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 104.51/104.87 inverse( Y ), identity ) ) ] )
% 104.51/104.87 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 540, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 104.51/104.87 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 104.51/104.87 , clause( 40128, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 104.51/104.87 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40133, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.51/104.87 , X ) ) ] )
% 104.51/104.87 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40134, [ =( X, 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 104.51/104.87 , clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.51/104.87 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.51/104.87 , 0, clause( 40133, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 104.51/104.87 , Y ), X ) ) ] )
% 104.51/104.87 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40135, [ =( 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 104.51/104.87 , clause( 40134, [ =( X, 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 552, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 104.51/104.87 identity, Y ) ), X ), X ) ] )
% 104.51/104.87 , clause( 40135, [ =( 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40137, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 104.51/104.87 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.87 , clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 104.51/104.87 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40139, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 104.51/104.87 multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, clause( 40137, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 104.51/104.87 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.87 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 104.51/104.87 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40140, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 104.51/104.87 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 104.51/104.87 , 0, clause( 40139, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 104.51/104.87 , multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.87 :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40141, [ =( 'greatest_lower_bound'( X, multiply( X,
% 104.51/104.87 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40140, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 104.51/104.87 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 554, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 104.51/104.87 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 104.51/104.87 , clause( 40141, [ =( 'greatest_lower_bound'( X, multiply( X,
% 104.51/104.87 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40142, [ =( X, 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 104.51/104.87 , clause( 552, [ =( 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40143, [ =( X, 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 104.51/104.87 , clause( 71, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 104.51/104.87 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 104.51/104.87 , 0, clause( 40142, [ =( X, 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 104.51/104.87 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 104.51/104.87 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40146, [ =( 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 104.51/104.87 , clause( 40143, [ =( X, 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 565, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 104.51/104.87 Y, identity ) ), X ), X ) ] )
% 104.51/104.87 , clause( 40146, [ =( 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40148, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.51/104.87 'least_upper_bound'( X, Y ), X ) ) ] )
% 104.51/104.87 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.51/104.87 'least_upper_bound'( X, Y ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40150, [ =( 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 104.51/104.87 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , clause( 565, [ =( 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 104.51/104.87 , 0, clause( 40148, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.51/104.87 'least_upper_bound'( X, Y ), X ) ) ] )
% 104.51/104.87 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, multiply( X, 'greatest_lower_bound'( Y, identity ) ) ), :=( Y, X )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40151, [ =( X, 'least_upper_bound'( X, multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , clause( 565, [ =( 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 104.51/104.87 , 0, clause( 40150, [ =( 'least_upper_bound'( multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 104.51/104.87 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40153, [ =( 'least_upper_bound'( X, multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40151, [ =( X, 'least_upper_bound'( X, multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 594, [ =( 'least_upper_bound'( X, multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40153, [ =( 'least_upper_bound'( X, multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40156, [ =( X, 'least_upper_bound'( X, multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , clause( 594, [ =( 'least_upper_bound'( X, multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40157, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 identity ) ) ] )
% 104.51/104.87 , clause( 261, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 104.51/104.87 , 0, clause( 40156, [ =( X, 'least_upper_bound'( X, multiply( X,
% 104.51/104.87 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 104.51/104.87 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 104.51/104.87 ) ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40158, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , clause( 40157, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 identity ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 603, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , clause( 40158, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40160, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 104.51/104.87 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , clause( 554, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 104.51/104.87 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40161, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 identity ) ) ] )
% 104.51/104.87 , clause( 333, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 104.51/104.87 'least_upper_bound'( X, Y ) ), identity ) ] )
% 104.51/104.87 , 0, clause( 40160, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 104.51/104.87 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 104.51/104.87 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 104.51/104.87 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 104.51/104.87 , :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40162, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 40161, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 identity ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 618, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 40162, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40164, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 104.51/104.87 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 104.51/104.87 , X ), Y ) ) ) ] )
% 104.51/104.87 , clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 104.51/104.87 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 104.51/104.87 'least_upper_bound'( Y, Z ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40167, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 104.51/104.87 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 104.51/104.87 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.51/104.87 'least_upper_bound'( X, Y ) ) ] )
% 104.51/104.87 , 0, clause( 40164, [ =( 'least_upper_bound'( X, Y ),
% 104.51/104.87 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.51/104.87 'least_upper_bound'( Z, X ), Y ) ) ) ] )
% 104.51/104.87 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40173, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 104.51/104.87 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 104.51/104.87 , clause( 40167, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 104.51/104.87 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 758, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 104.51/104.87 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 104.51/104.87 , clause( 40173, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 104.51/104.87 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40176, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 104.51/104.87 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.87 , clause( 175, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 104.51/104.87 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40195, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 104.51/104.87 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 104.51/104.87 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 104.51/104.87 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 104.51/104.87 ), identity ) ] )
% 104.51/104.87 , 0, clause( 40176, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 104.51/104.87 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 104.51/104.87 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40197, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 104.51/104.87 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y ),
% 104.51/104.87 identity ) ) ] )
% 104.51/104.87 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, clause( 40195, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 104.51/104.87 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 104.51/104.87 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 104.51/104.87 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40198, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 104.51/104.87 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.51/104.87 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, clause( 40197, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 104.51/104.87 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y
% 104.51/104.87 ), identity ) ) ] )
% 104.51/104.87 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 868, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 104.51/104.87 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.51/104.87 , clause( 40198, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity
% 104.51/104.87 , Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40202, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 104.51/104.87 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 104.51/104.87 , clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 104.51/104.87 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40203, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 104.51/104.87 , clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40204, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 104.51/104.87 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 104.51/104.87 ] )
% 104.51/104.87 , clause( 40202, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 104.51/104.87 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 104.51/104.87 , 0, clause( 40203, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 104.51/104.87 )
% 104.51/104.87 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40205, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 40204, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 104.51/104.87 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 104.51/104.87 ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 1611, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 40205, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40207, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40209, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 104.51/104.87 identity, X ), inverse( 'least_upper_bound'( inverse( X ), identity ) ) )
% 104.51/104.87 ) ] )
% 104.51/104.87 , clause( 868, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 104.51/104.87 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 104.51/104.87 , 0, clause( 40207, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 104.51/104.87 ) ) ) ) ] )
% 104.51/104.87 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.51/104.87 :=( X, 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40210, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 104.51/104.87 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40209, [ =( inverse( inverse( X ) ), multiply(
% 104.51/104.87 'least_upper_bound'( identity, X ), inverse( 'least_upper_bound'( inverse(
% 104.51/104.87 X ), identity ) ) ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40211, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.51/104.87 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40210, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 104.51/104.87 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 2174, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.51/104.87 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40211, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.51/104.87 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40213, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40215, [ =( inverse( inverse( X ) ), multiply(
% 104.51/104.87 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 104.51/104.87 inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , clause( 540, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 104.51/104.87 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 104.51/104.87 , 0, clause( 40213, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 104.51/104.87 ) ) ) ) ] )
% 104.51/104.87 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.51/104.87 :=( X, 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40216, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40215, [ =( inverse( inverse( X ) ), multiply(
% 104.51/104.87 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 104.51/104.87 inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40217, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40216, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 2195, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40217, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40219, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 104.51/104.87 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 104.51/104.87 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.51/104.87 , clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 104.51/104.87 'greatest_lower_bound'( Y, Z ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40222, [ =( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.51/104.87 , clause( 618, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, clause( 40219, [ =( 'greatest_lower_bound'( Y, Z ),
% 104.51/104.87 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 104.51/104.87 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 104.51/104.87 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40227, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 104.51/104.87 , clause( 40222, [ =( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 2636, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 104.51/104.87 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 104.51/104.87 , clause( 40227, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40229, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 104.51/104.87 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 104.51/104.87 , clause( 146, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 104.51/104.87 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40234, [ =( multiply( 'greatest_lower_bound'(
% 104.51/104.87 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.51/104.87 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 104.51/104.87 , identity ) ) ) ) ] )
% 104.51/104.87 , clause( 2195, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40229, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 104.51/104.87 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 104.51/104.87 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40235, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.51/104.87 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 104.51/104.87 , identity ) ) ) ) ] )
% 104.51/104.87 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 104.51/104.87 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.51/104.87 , 0, clause( 40234, [ =( multiply( 'greatest_lower_bound'(
% 104.51/104.87 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.51/104.87 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 104.51/104.87 , identity ) ) ) ) ] )
% 104.51/104.87 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 104.51/104.87 1, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40236, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , clause( 2195, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40235, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.51/104.87 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 104.51/104.87 , identity ) ) ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40237, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40236, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 3145, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40237, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40239, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.51/104.87 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 104.51/104.87 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40241, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.51/104.87 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 104.51/104.87 , clause( 3145, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40239, [ =( 'greatest_lower_bound'( X, Y ),
% 104.51/104.87 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 104.51/104.87 'least_upper_bound'( Y, Z ) ) ) ] )
% 104.51/104.87 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.87 :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.51/104.87 :=( Z, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40242, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 104.51/104.87 , clause( 3145, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40241, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 104.51/104.87 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.87 :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40244, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 104.51/104.87 , clause( 40242, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 3166, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 104.51/104.87 , clause( 40244, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 104.51/104.87 )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40247, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 104.51/104.87 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 104.51/104.87 , clause( 103, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 104.51/104.87 'least_upper_bound'( Y, identity ), X ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40252, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 104.51/104.87 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 104.51/104.87 identity ) ) ), 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , clause( 2174, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.51/104.87 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40247, [ =( multiply( 'least_upper_bound'( X, identity ), Y )
% 104.51/104.87 , 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 104.51/104.87 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.51/104.87 'least_upper_bound'( identity, X ) ), :=( Y, inverse( 'least_upper_bound'(
% 104.51/104.87 inverse( X ), identity ) ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40253, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.51/104.87 'least_upper_bound'( inverse( X ), identity ) ) ), 'least_upper_bound'( X
% 104.51/104.87 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 104.51/104.87 'least_upper_bound'( X, Y ) ) ] )
% 104.51/104.87 , 0, clause( 40252, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 104.51/104.87 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 104.51/104.87 identity ) ) ), 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 104.51/104.87 1, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40254, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , clause( 2174, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 104.51/104.87 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40253, [ =( multiply( 'least_upper_bound'( identity, X ),
% 104.51/104.87 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ),
% 104.51/104.87 'least_upper_bound'( X, inverse( 'least_upper_bound'( inverse( X ),
% 104.51/104.87 identity ) ) ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40255, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40254, [ =( X, 'least_upper_bound'( X, inverse(
% 104.51/104.87 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 3249, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , clause( 40255, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40256, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , clause( 3249, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 inverse( X ), identity ) ) ), X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40257, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ) ) ) ] )
% 104.51/104.87 , clause( 317, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 104.51/104.87 'least_upper_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , 0, clause( 40256, [ =( X, 'least_upper_bound'( X, inverse(
% 104.51/104.87 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 104.51/104.87 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 104.51/104.87 substitution( 1, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40263, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ) ), X ) ] )
% 104.51/104.87 , clause( 40257, [ =( X, 'least_upper_bound'( X, inverse(
% 104.51/104.87 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 3272, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ) ), X ) ] )
% 104.51/104.87 , clause( 40263, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40267, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 104.51/104.87 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 104.51/104.87 , clause( 758, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 104.51/104.87 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40271, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), X ), 'greatest_lower_bound'(
% 104.51/104.87 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 104.51/104.87 ) ), X ), X ) ) ] )
% 104.51/104.87 , clause( 3272, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40267, [ =( 'least_upper_bound'( X, Y ),
% 104.51/104.87 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 104.51/104.87 Y, X ) ) ) ] )
% 104.51/104.87 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.51/104.87 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y, X )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40273, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), X ), X ) ] )
% 104.51/104.87 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, clause( 40271, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), X ), 'greatest_lower_bound'(
% 104.51/104.87 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 104.51/104.87 ) ), X ), X ) ) ] )
% 104.51/104.87 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 3284, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), X ), X ) ] )
% 104.51/104.87 , clause( 40273, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), X ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40276, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), X ) ) ] )
% 104.51/104.87 , clause( 3284, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), X ), X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40277, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( identity, X ) ), inverse( X ) ) ) ] )
% 104.51/104.87 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40276, [ =( X, 'least_upper_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( identity, inverse( X ) ) ), X ) ) ] )
% 104.51/104.87 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.51/104.87 X ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40278, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.51/104.87 , clause( 40277, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( identity, X ) ), inverse( X ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 3304, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.51/104.87 , clause( 40278, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40280, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40281, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 inverse( X ) ) ) ] )
% 104.51/104.87 , clause( 3304, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.51/104.87 , 0, clause( 40280, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.51/104.87 X, Y ) ) ) ] )
% 104.51/104.87 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.51/104.87 inverse( 'least_upper_bound'( identity, X ) ) ), :=( Y, inverse( X ) )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40282, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), inverse( X ) ), inverse( 'least_upper_bound'( identity,
% 104.51/104.87 X ) ) ) ] )
% 104.51/104.87 , clause( 40281, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 inverse( X ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 3333, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), inverse( X ) ), inverse( 'least_upper_bound'( identity,
% 104.51/104.87 X ) ) ) ] )
% 104.51/104.87 , clause( 40282, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), inverse( X ) ), inverse( 'least_upper_bound'( identity,
% 104.51/104.87 X ) ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40284, [ =( multiply( X, Y ), 'least_upper_bound'( multiply( X, Y )
% 104.51/104.87 , 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 104.51/104.87 T ) ) ) ] )
% 104.51/104.87 , clause( 147, [ =( 'least_upper_bound'( multiply( X, Y ),
% 104.51/104.87 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 104.51/104.87 ) ), multiply( X, Y ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40286, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 104.51/104.87 identity, 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ), inverse( X ) ), Z ) ) ) ] )
% 104.51/104.87 , clause( 184, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.51/104.87 , 0, clause( 40284, [ =( multiply( X, Y ), 'least_upper_bound'( multiply( X
% 104.51/104.87 , Y ), 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ),
% 104.51/104.87 Y ), T ) ) ) ] )
% 104.51/104.87 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.87 :=( Y, inverse( X ) ), :=( Z, Y ), :=( T, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40288, [ =( identity, 'least_upper_bound'( identity,
% 104.51/104.87 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 104.51/104.87 X ) ), Z ) ) ) ] )
% 104.51/104.87 , clause( 184, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.51/104.87 , 0, clause( 40286, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 104.51/104.87 identity, 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ), inverse( X ) ), Z ) ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.87 :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40290, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 104.51/104.87 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ) ), identity
% 104.51/104.87 ) ] )
% 104.51/104.87 , clause( 40288, [ =( identity, 'least_upper_bound'( identity,
% 104.51/104.87 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 104.51/104.87 X ) ), Z ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 4026, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 104.51/104.87 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ) ), identity
% 104.51/104.87 ) ] )
% 104.51/104.87 , clause( 40290, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 104.51/104.87 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ) ), identity
% 104.51/104.87 ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 104.51/104.87 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40294, [ =( identity, 'least_upper_bound'( identity,
% 104.51/104.87 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 104.51/104.87 X ) ), Z ) ) ) ] )
% 104.51/104.87 , clause( 4026, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 104.51/104.87 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ) ), identity
% 104.51/104.87 ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40295, [ =( identity, 'least_upper_bound'( identity, multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 104.51/104.87 , clause( 3166, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 104.51/104.87 )
% 104.51/104.87 , 0, clause( 40294, [ =( identity, 'least_upper_bound'( identity,
% 104.51/104.87 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 104.51/104.87 X ) ), Z ) ) ) ] )
% 104.51/104.87 , 0, 4, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'( X, Y )
% 104.51/104.87 , inverse( X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 104.51/104.87 Y ), :=( Z, 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse(
% 104.51/104.87 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) )
% 104.51/104.87 , Z ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40297, [ =( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 104.51/104.87 , clause( 40295, [ =( identity, 'least_upper_bound'( identity, multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 4334, [ =( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 104.51/104.87 , clause( 40297, [ =( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40300, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 inverse( X ) ) ) ] )
% 104.51/104.87 , clause( 3333, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), inverse( X ) ), inverse( 'least_upper_bound'( identity,
% 104.51/104.87 X ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40305, [ =( inverse( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ),
% 104.51/104.87 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 104.51/104.87 , clause( 4334, [ =( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 104.51/104.87 , 0, clause( 40300, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 104.51/104.87 inverse( X ) ) ) ] )
% 104.51/104.87 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40306, [ =( inverse( identity ), 'greatest_lower_bound'( inverse(
% 104.51/104.87 identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 104.51/104.87 ) ) ) ) ) ] )
% 104.51/104.87 , clause( 4334, [ =( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 104.51/104.87 , 0, clause( 40305, [ =( inverse( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ),
% 104.51/104.87 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 104.51/104.87 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40311, [ =( inverse( identity ), 'greatest_lower_bound'( identity,
% 104.51/104.87 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 104.51/104.87 )
% 104.51/104.87 , clause( 161, [ =( inverse( identity ), identity ) ] )
% 104.51/104.87 , 0, clause( 40306, [ =( inverse( identity ), 'greatest_lower_bound'(
% 104.51/104.87 inverse( identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ),
% 104.51/104.87 inverse( X ) ) ) ) ) ] )
% 104.51/104.87 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40312, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 104.51/104.87 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 104.51/104.87 , clause( 161, [ =( inverse( identity ), identity ) ] )
% 104.51/104.87 , 0, clause( 40311, [ =( inverse( identity ), 'greatest_lower_bound'(
% 104.51/104.87 identity, inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 104.51/104.87 ) ) ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40315, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 104.51/104.87 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 104.51/104.87 , clause( 223, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 104.51/104.87 inverse( X ) ) ) ] )
% 104.51/104.87 , 0, clause( 40312, [ =( identity, 'greatest_lower_bound'( identity,
% 104.51/104.87 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 104.51/104.87 )
% 104.51/104.87 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 104.51/104.87 X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40316, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 104.51/104.87 , clause( 40315, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 104.51/104.87 X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 4367, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 104.51/104.87 , clause( 40316, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 104.51/104.87 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40318, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 104.51/104.87 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 104.51/104.87 , clause( 535, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 104.51/104.87 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40323, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 104.51/104.87 multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 104.51/104.87 identity ) ) ) ] )
% 104.51/104.87 , clause( 4367, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 104.51/104.87 , 0, clause( 40318, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.51/104.87 X, Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 104.51/104.87 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) )
% 104.51/104.87 ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40324, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.51/104.87 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 104.51/104.87 identity ) ) ) ] )
% 104.51/104.87 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 104.51/104.87 ), Z ) ) ] )
% 104.51/104.87 , 0, clause( 40323, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.51/104.87 X, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 104.51/104.87 identity ) ) ) ] )
% 104.51/104.87 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.87 :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40325, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.51/104.87 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 161, [ =( inverse( identity ), identity ) ] )
% 104.51/104.87 , 0, clause( 40324, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.51/104.87 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 104.51/104.87 identity ) ) ) ] )
% 104.51/104.87 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 104.51/104.87 :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40326, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 104.51/104.87 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 104.51/104.87 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 104.51/104.87 , 0, clause( 40325, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 104.51/104.87 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, multiply(
% 104.51/104.87 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) )] ),
% 104.51/104.87 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40327, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 104.51/104.87 , clause( 40326, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X,
% 104.51/104.87 Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 4800, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 104.51/104.87 , clause( 40327, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y )
% 104.51/104.87 , inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 104.51/104.87 permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40329, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 104.51/104.87 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 104.51/104.87 , clause( 4800, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X )
% 104.51/104.87 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40331, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 104.51/104.87 , clause( 184, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 104.51/104.87 , 0, clause( 40329, [ =( X, 'greatest_lower_bound'( X, multiply( multiply(
% 104.51/104.87 X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 104.51/104.87 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.87 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40332, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 104.51/104.87 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.51/104.87 , 0, clause( 40331, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 104.51/104.87 , 0, 4, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( inverse(
% 104.51/104.87 X ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40333, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.51/104.87 , clause( 40332, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 4933, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.51/104.87 , clause( 40333, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40335, [ =( 'greatest_lower_bound'( Y, X ), 'least_upper_bound'(
% 104.51/104.87 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.51/104.87 , clause( 241, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40339, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 inverse( X ), Y ) ), X ), 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.51/104.87 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ) ] )
% 104.51/104.87 , clause( 4933, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40335, [ =( 'greatest_lower_bound'( Y, X ),
% 104.51/104.87 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 104.51/104.87 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.51/104.87 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40341, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 inverse( X ), Y ) ), X ), X ) ] )
% 104.51/104.87 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, clause( 40339, [ =( 'greatest_lower_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ), X ), 'least_upper_bound'( X
% 104.51/104.87 , 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( inverse( X ),
% 104.51/104.87 Y ) ), X ) ) ) ] )
% 104.51/104.87 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ) )] ), substitution( 1, [ :=(
% 104.51/104.87 X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 4950, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 inverse( X ), Y ) ), X ), X ) ] )
% 104.51/104.87 , clause( 40341, [ =( 'greatest_lower_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40343, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 104.51/104.87 , clause( 4933, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40344, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 104.51/104.87 , clause( 246, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , 0, clause( 40343, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 104.51/104.87 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 104.51/104.87 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40350, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 104.51/104.87 , clause( 40344, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 4960, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 104.51/104.87 , clause( 40350, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40354, [ =( X, 'greatest_lower_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 104.51/104.87 , clause( 4950, [ =( 'greatest_lower_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40355, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 104.51/104.87 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40354, [ =( X, 'greatest_lower_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 104.51/104.87 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.51/104.87 X ) ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40356, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.51/104.87 , clause( 40355, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 4971, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.51/104.87 , clause( 40356, [ =( 'greatest_lower_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40358, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 104.51/104.87 , clause( 4960, [ =( 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40359, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 104.51/104.87 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40358, [ =( X, 'greatest_lower_bound'( X, inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 104.51/104.87 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 104.51/104.87 X ) ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40360, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 104.51/104.87 , clause( 40359, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 5001, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 104.51/104.87 , clause( 40360, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40362, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40363, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.51/104.87 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 104.51/104.87 Y ) ) ) ] )
% 104.51/104.87 , clause( 5001, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 104.51/104.87 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 104.51/104.87 , 0, clause( 40362, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 104.51/104.87 Y, X ) ) ) ] )
% 104.51/104.87 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.51/104.87 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40364, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 104.51/104.87 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , clause( 40363, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.51/104.87 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 104.51/104.87 Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 5023, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 104.51/104.87 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 104.51/104.87 , clause( 40364, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 104.51/104.87 )
% 104.51/104.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40366, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 104.51/104.87 , X ) ) ] )
% 104.51/104.87 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40367, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.51/104.87 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ) ) ) ) ] )
% 104.51/104.87 , clause( 4971, [ =( 'greatest_lower_bound'( inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.51/104.87 , 0, clause( 40366, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 104.51/104.87 , Y ), X ) ) ] )
% 104.51/104.87 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 104.51/104.87 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( X ) )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40368, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , clause( 40367, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.51/104.87 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 5049, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , clause( 40368, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40370, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.51/104.87 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ) ) ) ) ] )
% 104.51/104.87 , clause( 5049, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40374, [ =( inverse( 'greatest_lower_bound'( 'least_upper_bound'( X
% 104.51/104.87 , Y ), Y ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y ) )
% 104.51/104.87 , inverse( Y ) ) ) ] )
% 104.51/104.87 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, clause( 40370, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 104.51/104.87 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 104.51/104.87 ) ) ) ) ] )
% 104.51/104.87 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.51/104.87 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40375, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 104.51/104.87 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, clause( 40374, [ =( inverse( 'greatest_lower_bound'(
% 104.51/104.87 'least_upper_bound'( X, Y ), Y ) ), 'least_upper_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 104.51/104.87 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.51/104.87 :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40377, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 104.51/104.87 ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.51/104.87 , clause( 40375, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 5400, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 104.51/104.87 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 104.51/104.87 , clause( 40377, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 104.51/104.87 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40380, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 104.51/104.87 , clause( 5400, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 104.51/104.87 Y ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40382, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 104.51/104.87 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40380, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 104.51/104.87 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 104.51/104.87 :=( Y, inverse( X ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40383, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 104.51/104.87 , inverse( X ) ) ), X ) ) ] )
% 104.51/104.87 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40382, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 104.51/104.87 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 104.51/104.87 :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40385, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 104.51/104.87 inverse( X ) ) ), X ), X ) ] )
% 104.51/104.87 , clause( 40383, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 Y, inverse( X ) ) ), X ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 5416, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 104.51/104.87 inverse( X ) ) ), X ), X ) ] )
% 104.51/104.87 , clause( 40385, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 104.51/104.87 , inverse( X ) ) ), X ), X ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40388, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 104.51/104.87 , X ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40389, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 104.51/104.87 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 104.51/104.87 , Y ) ) ] )
% 104.51/104.87 , clause( 5416, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 104.51/104.87 inverse( X ) ) ), X ), X ) ] )
% 104.51/104.87 , 0, clause( 40388, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 104.51/104.87 X, Y ) ) ) ] )
% 104.51/104.87 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 104.51/104.87 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40390, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 104.51/104.87 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 40389, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 104.51/104.87 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 104.51/104.87 , Y ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 5474, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 104.51/104.87 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , clause( 40390, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 104.51/104.87 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40392, [ =( 'greatest_lower_bound'( identity, Y ),
% 104.51/104.87 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.51/104.87 , clause( 2636, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 104.51/104.87 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 104.51/104.87 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40393, [ =( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 104.51/104.87 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.51/104.87 , clause( 5474, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, clause( 40392, [ =( 'greatest_lower_bound'( identity, Y ),
% 104.51/104.87 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 104.51/104.87 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 104.51/104.87 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40394, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ] )
% 104.51/104.87 , clause( 40393, [ =( 'greatest_lower_bound'( identity, X ),
% 104.51/104.87 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 104.51/104.87 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 38943, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ] )
% 104.51/104.87 , clause( 40394, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40396, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 104.51/104.87 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 104.51/104.87 ] )
% 104.51/104.87 , clause( 1611, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 104.51/104.87 ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40403, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.51/104.87 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 104.51/104.87 , clause( 38943, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ] )
% 104.51/104.87 , 0, clause( 40396, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 104.51/104.87 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 104.51/104.87 , Y ) ) ) ) ] )
% 104.51/104.87 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 104.51/104.87 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 104.51/104.87 'greatest_lower_bound'( identity, X ) )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40404, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.51/104.87 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 104.51/104.87 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 104.51/104.87 , clause( 204, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 104.51/104.87 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 104.51/104.87 )
% 104.51/104.87 , 0, clause( 40403, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.51/104.87 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 104.51/104.87 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 104.51/104.87 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 104.51/104.87 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 104.51/104.87 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40405, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.51/104.87 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 104.51/104.87 X ) ) ) ) ) ) ] )
% 104.51/104.87 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 104.51/104.87 , 0, clause( 40404, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.51/104.87 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 104.51/104.87 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 104.51/104.87 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 104.51/104.87 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40407, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.51/104.87 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 104.51/104.87 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40405, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.51/104.87 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 104.51/104.87 X ) ) ) ) ) ) ] )
% 104.51/104.87 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 104.51/104.87 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40408, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.51/104.87 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 104.51/104.87 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 104.51/104.87 , 0, clause( 40407, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 104.51/104.87 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 104.51/104.87 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 104.51/104.87 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40413, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.51/104.87 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 104.51/104.87 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 104.51/104.87 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 104.51/104.87 , 0, clause( 40408, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.51/104.87 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 104.51/104.87 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 104.51/104.87 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 104.51/104.87 , [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40414, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.51/104.87 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 inverse( X ) ) ) ] )
% 104.51/104.87 , clause( 603, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 104.51/104.87 ) ) ) ] )
% 104.51/104.87 , 0, clause( 40413, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.51/104.87 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 104.51/104.87 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 104.51/104.87 ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40415, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.51/104.87 , clause( 5023, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 104.51/104.87 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 104.51/104.87 )
% 104.51/104.87 , 0, clause( 40414, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.51/104.87 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 104.51/104.87 inverse( X ) ) ) ] )
% 104.51/104.87 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 104.51/104.87 1, [ :=( X, X )] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 38962, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 104.51/104.87 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.51/104.87 , clause( 40415, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.51/104.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40418, [ ~( =( inverse( 'greatest_lower_bound'( a, identity ) ),
% 104.51/104.87 'least_upper_bound'( identity, inverse( a ) ) ) ) ] )
% 104.51/104.87 , clause( 69, [ ~( =( 'least_upper_bound'( identity, inverse( a ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40419, [ ~( =( inverse( 'greatest_lower_bound'( a, identity ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( identity, a ) ) ) ) ] )
% 104.51/104.87 , clause( 38962, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 104.51/104.87 , 0, clause( 40418, [ ~( =( inverse( 'greatest_lower_bound'( a, identity )
% 104.51/104.87 ), 'least_upper_bound'( identity, inverse( a ) ) ) ) ] )
% 104.51/104.87 , 0, 6, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40420, [ ~( =( inverse( 'greatest_lower_bound'( identity, a ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.51/104.87 , clause( 40419, [ ~( =( inverse( 'greatest_lower_bound'( a, identity ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( identity, a ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 39097, [ ~( =( inverse( 'greatest_lower_bound'( identity, a ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.51/104.87 , clause( 40420, [ ~( =( inverse( 'greatest_lower_bound'( identity, a ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.51/104.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqswap(
% 104.51/104.87 clause( 40421, [ ~( =( inverse( 'greatest_lower_bound'( a, identity ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( identity, a ) ) ) ) ] )
% 104.51/104.87 , clause( 39097, [ ~( =( inverse( 'greatest_lower_bound'( identity, a ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 paramod(
% 104.51/104.87 clause( 40423, [ ~( =( inverse( 'greatest_lower_bound'( a, identity ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.51/104.87 , clause( 246, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 104.51/104.87 'greatest_lower_bound'( X, Y ) ) ) ] )
% 104.51/104.87 , 0, clause( 40421, [ ~( =( inverse( 'greatest_lower_bound'( a, identity )
% 104.51/104.87 ), inverse( 'greatest_lower_bound'( identity, a ) ) ) ) ] )
% 104.51/104.87 , 0, 6, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 104.51/104.87 1, [] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 eqrefl(
% 104.51/104.87 clause( 40426, [] )
% 104.51/104.87 , clause( 40423, [ ~( =( inverse( 'greatest_lower_bound'( a, identity ) ),
% 104.51/104.87 inverse( 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 104.51/104.87 , 0, substitution( 0, [] )).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 subsumption(
% 104.51/104.87 clause( 39665, [] )
% 104.51/104.87 , clause( 40426, [] )
% 104.51/104.87 , substitution( 0, [] ), permutation( 0, [] ) ).
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 end.
% 104.51/104.87
% 104.51/104.87 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 104.51/104.87
% 104.51/104.87 Memory use:
% 104.51/104.87
% 104.51/104.87 space for terms: 570388
% 104.51/104.87 space for clauses: 4147416
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 clauses generated: 29920283
% 104.51/104.87 clauses kept: 39666
% 104.51/104.87 clauses selected: 7161
% 104.51/104.87 clauses deleted: 2432
% 104.51/104.87 clauses inuse deleted: 253
% 104.51/104.87
% 104.51/104.87 subsentry: 1270308
% 104.51/104.87 literals s-matched: 1268505
% 104.51/104.87 literals matched: 1268402
% 104.51/104.87 full subsumption: 0
% 104.51/104.87
% 104.51/104.87 checksum: -1364233277
% 104.51/104.87
% 104.51/104.87
% 104.51/104.87 Bliksem ended
%------------------------------------------------------------------------------