%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP179-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 07:35:50 EDT 2022
% Result : Unsatisfiable 106.48s 106.83s
% Output : Refutation 106.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP179-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n011.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 : Mon Jun 13 09:43:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 106.41/106.83 *** allocated 10000 integers for termspace/termends
% 106.41/106.83 *** allocated 10000 integers for clauses
% 106.41/106.83 *** allocated 10000 integers for justifications
% 106.41/106.83 Bliksem 1.12
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Automatic Strategy Selection
% 106.41/106.83
% 106.41/106.83 Clauses:
% 106.41/106.83 [
% 106.41/106.83 [ =( multiply( identity, X ), X ) ],
% 106.41/106.83 [ =( multiply( inverse( X ), X ), identity ) ],
% 106.41/106.83 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 106.41/106.83 ],
% 106.41/106.83 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 106.41/106.83 ,
% 106.41/106.83 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 106.41/106.83 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.41/106.83 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 106.41/106.83 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 106.41/106.83 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 106.41/106.83 [ =( 'least_upper_bound'( X, X ), X ) ],
% 106.41/106.83 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 106.41/106.83 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 106.41/106.83 ,
% 106.41/106.83 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 106.41/106.83 ,
% 106.41/106.83 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 106.41/106.83 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 106.41/106.83 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.41/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 106.41/106.83 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 106.41/106.83 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 106.41/106.83 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 106.41/106.83 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 106.41/106.83 [ ~( =( inverse( 'least_upper_bound'( a, b ) ), 'greatest_lower_bound'(
% 106.41/106.83 inverse( a ), inverse( b ) ) ) ) ]
% 106.41/106.83 ] .
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 percentage equality = 1.000000, percentage horn = 1.000000
% 106.41/106.83 This is a pure equality problem
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Options Used:
% 106.41/106.83
% 106.41/106.83 useres = 1
% 106.41/106.83 useparamod = 1
% 106.41/106.83 useeqrefl = 1
% 106.41/106.83 useeqfact = 1
% 106.41/106.83 usefactor = 1
% 106.41/106.83 usesimpsplitting = 0
% 106.41/106.83 usesimpdemod = 5
% 106.41/106.83 usesimpres = 3
% 106.41/106.83
% 106.41/106.83 resimpinuse = 1000
% 106.41/106.83 resimpclauses = 20000
% 106.41/106.83 substype = eqrewr
% 106.41/106.83 backwardsubs = 1
% 106.41/106.83 selectoldest = 5
% 106.41/106.83
% 106.41/106.83 litorderings [0] = split
% 106.41/106.83 litorderings [1] = extend the termordering, first sorting on arguments
% 106.41/106.83
% 106.41/106.83 termordering = kbo
% 106.41/106.83
% 106.41/106.83 litapriori = 0
% 106.41/106.83 termapriori = 1
% 106.41/106.83 litaposteriori = 0
% 106.41/106.83 termaposteriori = 0
% 106.41/106.83 demodaposteriori = 0
% 106.41/106.83 ordereqreflfact = 0
% 106.41/106.83
% 106.41/106.83 litselect = negord
% 106.41/106.83
% 106.41/106.83 maxweight = 15
% 106.41/106.83 maxdepth = 30000
% 106.41/106.83 maxlength = 115
% 106.41/106.83 maxnrvars = 195
% 106.41/106.83 excuselevel = 1
% 106.41/106.83 increasemaxweight = 1
% 106.41/106.83
% 106.41/106.83 maxselected = 10000000
% 106.41/106.83 maxnrclauses = 10000000
% 106.41/106.83
% 106.41/106.83 showgenerated = 0
% 106.41/106.83 showkept = 0
% 106.41/106.83 showselected = 0
% 106.41/106.83 showdeleted = 0
% 106.41/106.83 showresimp = 1
% 106.41/106.83 showstatus = 2000
% 106.41/106.83
% 106.41/106.83 prologoutput = 1
% 106.41/106.83 nrgoals = 5000000
% 106.41/106.83 totalproof = 1
% 106.41/106.83
% 106.41/106.83 Symbols occurring in the translation:
% 106.41/106.83
% 106.41/106.83 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 106.41/106.83 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 106.41/106.83 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 106.41/106.83 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 106.41/106.83 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 106.41/106.83 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 106.41/106.83 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 106.41/106.83 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 106.41/106.83 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 106.41/106.83 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 106.41/106.83 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 106.41/106.83 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Starting Search:
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Intermediate Status:
% 106.41/106.83 Generated: 25015
% 106.41/106.83 Kept: 2009
% 106.41/106.83 Inuse: 198
% 106.41/106.83 Deleted: 13
% 106.41/106.83 Deletedinuse: 8
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Intermediate Status:
% 106.41/106.83 Generated: 106890
% 106.41/106.83 Kept: 4009
% 106.41/106.83 Inuse: 442
% 106.41/106.83 Deleted: 25
% 106.41/106.83 Deletedinuse: 8
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Intermediate Status:
% 106.41/106.83 Generated: 173859
% 106.41/106.83 Kept: 6017
% 106.41/106.83 Inuse: 603
% 106.41/106.83 Deleted: 82
% 106.41/106.83 Deletedinuse: 34
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Intermediate Status:
% 106.41/106.83 Generated: 296155
% 106.41/106.83 Kept: 8034
% 106.41/106.83 Inuse: 778
% 106.41/106.83 Deleted: 132
% 106.41/106.83 Deletedinuse: 80
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Intermediate Status:
% 106.41/106.83 Generated: 682805
% 106.41/106.83 Kept: 10037
% 106.41/106.83 Inuse: 1136
% 106.41/106.83 Deleted: 187
% 106.41/106.83 Deletedinuse: 80
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Intermediate Status:
% 106.41/106.83 Generated: 1892297
% 106.41/106.83 Kept: 12050
% 106.41/106.83 Inuse: 1715
% 106.41/106.83 Deleted: 269
% 106.41/106.83 Deletedinuse: 80
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Intermediate Status:
% 106.41/106.83 Generated: 2144858
% 106.41/106.83 Kept: 14177
% 106.41/106.83 Inuse: 1842
% 106.41/106.83 Deleted: 291
% 106.41/106.83 Deletedinuse: 81
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Intermediate Status:
% 106.41/106.83 Generated: 2215580
% 106.41/106.83 Kept: 16229
% 106.41/106.83 Inuse: 1884
% 106.41/106.83 Deleted: 294
% 106.41/106.83 Deletedinuse: 81
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Intermediate Status:
% 106.41/106.83 Generated: 2352204
% 106.41/106.83 Kept: 18297
% 106.41/106.83 Inuse: 1952
% 106.41/106.83 Deleted: 298
% 106.41/106.83 Deletedinuse: 81
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying clauses:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83
% 106.41/106.83 Intermediate Status:
% 106.41/106.83 Generated: 2513461
% 106.41/106.83 Kept: 20318
% 106.41/106.83 Inuse: 2026
% 106.41/106.83 Deleted: 2138
% 106.41/106.83 Deletedinuse: 81
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.41/106.83 Done
% 106.41/106.83
% 106.41/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 Intermediate Status:
% 106.48/106.83 Generated: 2815990
% 106.48/106.83 Kept: 22362
% 106.48/106.83 Inuse: 2160
% 106.48/106.83 Deleted: 2138
% 106.48/106.83 Deletedinuse: 81
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 Intermediate Status:
% 106.48/106.83 Generated: 3266937
% 106.48/106.83 Kept: 24367
% 106.48/106.83 Inuse: 2336
% 106.48/106.83 Deleted: 2138
% 106.48/106.83 Deletedinuse: 81
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 Intermediate Status:
% 106.48/106.83 Generated: 3917782
% 106.48/106.83 Kept: 26380
% 106.48/106.83 Inuse: 2558
% 106.48/106.83 Deleted: 2140
% 106.48/106.83 Deletedinuse: 81
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 Intermediate Status:
% 106.48/106.83 Generated: 5147540
% 106.48/106.83 Kept: 28394
% 106.48/106.83 Inuse: 2895
% 106.48/106.83 Deleted: 2140
% 106.48/106.83 Deletedinuse: 81
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 Intermediate Status:
% 106.48/106.83 Generated: 7025744
% 106.48/106.83 Kept: 30397
% 106.48/106.83 Inuse: 3380
% 106.48/106.83 Deleted: 2162
% 106.48/106.83 Deletedinuse: 81
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 Intermediate Status:
% 106.48/106.83 Generated: 9472795
% 106.48/106.83 Kept: 32403
% 106.48/106.83 Inuse: 3966
% 106.48/106.83 Deleted: 2162
% 106.48/106.83 Deletedinuse: 81
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 Intermediate Status:
% 106.48/106.83 Generated: 14150308
% 106.48/106.83 Kept: 34416
% 106.48/106.83 Inuse: 4943
% 106.48/106.83 Deleted: 2207
% 106.48/106.83 Deletedinuse: 87
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 Intermediate Status:
% 106.48/106.83 Generated: 18192939
% 106.48/106.83 Kept: 36416
% 106.48/106.83 Inuse: 5685
% 106.48/106.83 Deleted: 2360
% 106.48/106.83 Deletedinuse: 223
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 Intermediate Status:
% 106.48/106.83 Generated: 25587416
% 106.48/106.83 Kept: 38416
% 106.48/106.83 Inuse: 6646
% 106.48/106.83 Deleted: 2416
% 106.48/106.83 Deletedinuse: 255
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83 Resimplifying inuse:
% 106.48/106.83 Done
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 Bliksems!, er is een bewijs:
% 106.48/106.83 % SZS status Unsatisfiable
% 106.48/106.83 % SZS output start Refutation
% 106.48/106.83
% 106.48/106.83 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 106.48/106.83 , Z ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 106.48/106.83 X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 106.48/106.83 ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 106.48/106.83 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 106.48/106.83 ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 106.48/106.83 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 106.48/106.83 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 106.48/106.83 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 106.48/106.83 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 15, [ ~( =( 'greatest_lower_bound'( inverse( a ), inverse( b ) ),
% 106.48/106.83 inverse( 'least_upper_bound'( a, b ) ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 106.48/106.83 , identity ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 106.48/106.83 identity ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 106.48/106.83 ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 106.48/106.83 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 106.48/106.83 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 30, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 106.48/106.83 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 106.48/106.83 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 106.48/106.83 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 'greatest_lower_bound'( Y, Z ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 106.48/106.83 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 106.48/106.83 'least_upper_bound'( Z, Y ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 106.48/106.83 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 106.48/106.83 multiply( Y, X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.83 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 106.48/106.83 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 106.48/106.83 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 106.48/106.83 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 106.48/106.83 )
% 106.48/106.83 .
% 106.48/106.83 clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 106.48/106.83 'least_upper_bound'( Z, X ), Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 115, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 106.48/106.83 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 106.48/106.83 'least_upper_bound'( identity, Y ), X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 106.48/106.83 'least_upper_bound'( Y, identity ), X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 136, [ ~( =( 'greatest_lower_bound'( inverse( b ), inverse( a ) ),
% 106.48/106.83 inverse( 'least_upper_bound'( a, b ) ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 140, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 106.48/106.83 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 106.48/106.83 , Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 146, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 106.48/106.83 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 150, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 106.48/106.83 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 155, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 161, [ =( inverse( identity ), identity ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 167, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 106.48/106.83 ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 175, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 106.48/106.83 'least_upper_bound'( identity, Y ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 177, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 184, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 106.48/106.83 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 106.48/106.83 ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 204, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 106.48/106.83 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 106.48/106.83 )
% 106.48/106.83 .
% 106.48/106.83 clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 106.48/106.83 ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 221, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 106.48/106.83 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 223, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 106.48/106.83 inverse( X ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 224, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 106.48/106.83 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 106.48/106.83 ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 241, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 106.48/106.83 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 246, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 106.48/106.83 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 261, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 106.48/106.83 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 285, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 106.48/106.83 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 300, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 106.48/106.83 'least_upper_bound'( X, Y ) ), identity ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 427, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.83 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 106.48/106.83 'least_upper_bound'( X, T ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 535, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 106.48/106.83 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 540, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 106.48/106.83 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 552, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 106.48/106.83 identity, Y ) ), X ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 554, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 106.48/106.83 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 565, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 106.48/106.83 Y, identity ) ), X ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 594, [ =( 'least_upper_bound'( X, multiply( X,
% 106.48/106.83 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 603, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.83 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 622, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.83 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 106.48/106.83 ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 846, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 106.48/106.83 'least_upper_bound'( Y, identity ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 868, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 106.48/106.83 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 877, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 1204, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 106.48/106.83 'least_upper_bound'( X, identity ), Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 106.48/106.83 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 1611, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 106.48/106.83 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 106.48/106.83 ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 2172, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 106.48/106.83 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 2189, [ =( multiply( inverse( multiply( X, Y ) ),
% 106.48/106.83 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 106.48/106.83 inverse( Y ), identity ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 2195, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 106.48/106.83 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 2636, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 106.48/106.83 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 106.48/106.83 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.83 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 106.48/106.83 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 3166, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 106.48/106.83 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 106.48/106.83 ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.83 inverse( X ), identity ) ), X ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 106.48/106.83 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 106.48/106.83 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 3974, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 106.48/106.83 ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 106.48/106.83 , Y ), inverse( X ) ), identity ), identity ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 106.48/106.83 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 4807, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 106.48/106.83 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 4937, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.83 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 4954, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.83 inverse( X ), Y ) ), X ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 4964, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.83 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 4975, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.83 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 5005, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 106.48/106.83 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 5027, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 106.48/106.83 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 5053, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 106.48/106.83 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 5400, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 106.48/106.83 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 5418, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 106.48/106.83 inverse( X ) ) ), X ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 5426, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 106.48/106.83 , inverse( Y ) ) ) ), Y ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 5446, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 106.48/106.83 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 106.48/106.83 ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 12255, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 106.48/106.83 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 12269, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 106.48/106.83 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 38942, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.83 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.83 'greatest_lower_bound'( identity, X ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 38961, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 106.48/106.83 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 39064, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.83 'least_upper_bound'( identity, X ) ), X ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 39135, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 106.48/106.83 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 39308, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 106.48/106.83 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 39948, [ =( 'greatest_lower_bound'( inverse( Y ), inverse( X ) ),
% 106.48/106.83 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.83 .
% 106.48/106.83 clause( 39951, [] )
% 106.48/106.83 .
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 % SZS output end Refutation
% 106.48/106.83 found a proof!
% 106.48/106.83
% 106.48/106.83 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 106.48/106.83
% 106.48/106.83 initialclauses(
% 106.48/106.83 [ clause( 39953, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , clause( 39954, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , clause( 39955, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 106.48/106.83 multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 39956, [ =( 'greatest_lower_bound'( X, Y ),
% 106.48/106.83 'greatest_lower_bound'( Y, X ) ) ] )
% 106.48/106.83 , clause( 39957, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 106.48/106.83 X ) ) ] )
% 106.48/106.83 , clause( 39958, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 106.48/106.83 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 106.48/106.83 )
% 106.48/106.83 , clause( 39959, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 106.48/106.83 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , clause( 39960, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 106.48/106.83 , clause( 39961, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 106.48/106.83 , clause( 39962, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 106.48/106.83 ) ), X ) ] )
% 106.48/106.83 , clause( 39963, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 106.48/106.83 ) ), X ) ] )
% 106.48/106.83 , clause( 39964, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , clause( 39965, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , clause( 39966, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 39967, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 39968, [ ~( =( inverse( 'least_upper_bound'( a, b ) ),
% 106.48/106.83 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ) ] )
% 106.48/106.83 ] ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , clause( 39953, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , clause( 39954, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 39974, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 106.48/106.83 , Y ), Z ) ) ] )
% 106.48/106.83 , clause( 39955, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 106.48/106.83 multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 106.48/106.83 , Z ) ) ] )
% 106.48/106.83 , clause( 39974, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 106.48/106.83 X, Y ), Z ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 106.48/106.83 X ) ) ] )
% 106.48/106.83 , clause( 39956, [ =( 'greatest_lower_bound'( X, Y ),
% 106.48/106.83 'greatest_lower_bound'( Y, X ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 106.48/106.83 ] )
% 106.48/106.83 , clause( 39957, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 106.48/106.83 X ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 106.48/106.83 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , clause( 39958, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 106.48/106.83 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 106.48/106.83 )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , clause( 39959, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 106.48/106.83 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 106.48/106.83 , clause( 39961, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 106.48/106.83 ) ] )
% 106.48/106.83 , clause( 39962, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 106.48/106.83 ) ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 , clause( 39963, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 106.48/106.83 ) ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40023, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 106.48/106.83 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 39964, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 106.48/106.83 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 40023, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 106.48/106.83 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40034, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 106.48/106.83 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 39965, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 106.48/106.83 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 40034, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 106.48/106.83 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40046, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 106.48/106.83 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , clause( 39966, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 106.48/106.83 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , clause( 40046, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 106.48/106.83 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40059, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 106.48/106.83 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , clause( 39967, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 106.48/106.83 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , clause( 40059, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 106.48/106.83 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40073, [ ~( =( 'greatest_lower_bound'( inverse( a ), inverse( b ) )
% 106.48/106.83 , inverse( 'least_upper_bound'( a, b ) ) ) ) ] )
% 106.48/106.83 , clause( 39968, [ ~( =( inverse( 'least_upper_bound'( a, b ) ),
% 106.48/106.83 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 15, [ ~( =( 'greatest_lower_bound'( inverse( a ), inverse( b ) ),
% 106.48/106.83 inverse( 'least_upper_bound'( a, b ) ) ) ) ] )
% 106.48/106.83 , clause( 40073, [ ~( =( 'greatest_lower_bound'( inverse( a ), inverse( b )
% 106.48/106.83 ), inverse( 'least_upper_bound'( a, b ) ) ) ) ] )
% 106.48/106.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40074, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 106.48/106.83 Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 106.48/106.83 ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40077, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 106.48/106.83 ), identity ) ] )
% 106.48/106.83 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , 0, clause( 40074, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 106.48/106.83 multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 106.48/106.83 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 106.48/106.83 , identity ) ] )
% 106.48/106.83 , clause( 40077, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 106.48/106.83 , Y ), identity ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40083, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 106.48/106.83 Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 106.48/106.83 ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40088, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 106.48/106.83 , identity ) ) ] )
% 106.48/106.83 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , 0, clause( 40083, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 106.48/106.83 multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.83 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 106.48/106.83 identity ) ) ] )
% 106.48/106.83 , clause( 40088, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 106.48/106.83 X, identity ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40093, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 106.48/106.83 Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 106.48/106.83 ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40098, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , 0, clause( 40093, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 106.48/106.83 multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.83 :=( Y, identity ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 106.48/106.83 ] )
% 106.48/106.83 , clause( 40098, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 106.48/106.83 Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40103, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40104, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , 0, clause( 40103, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 106.48/106.83 X, Y ) ) ) ] )
% 106.48/106.83 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 106.48/106.83 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40107, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 106.48/106.83 ), X ) ] )
% 106.48/106.83 , clause( 40104, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 106.48/106.83 ), X ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 , clause( 40107, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 106.48/106.83 X ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40108, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40109, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 106.48/106.83 ) ] )
% 106.48/106.83 , 0, clause( 40108, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 106.48/106.83 X, Y ) ) ) ] )
% 106.48/106.83 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40112, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 106.48/106.83 ), X ) ] )
% 106.48/106.83 , clause( 40109, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 106.48/106.83 , X ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 , clause( 40112, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 106.48/106.83 ) ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40113, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40114, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 106.48/106.83 ) ] )
% 106.48/106.83 , 0, clause( 40113, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 106.48/106.83 , Y ), X ) ) ] )
% 106.48/106.83 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40117, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 106.48/106.83 ), X ) ] )
% 106.48/106.83 , clause( 40114, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 106.48/106.83 ), X ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 , clause( 40117, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 106.48/106.83 X ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40119, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.83 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 106.48/106.83 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40124, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 106.48/106.83 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 106.48/106.83 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, clause( 40119, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 106.48/106.83 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 106.48/106.83 ] )
% 106.48/106.83 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 106.48/106.83 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 106.48/106.83 , clause( 40124, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 106.48/106.83 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40129, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.83 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 106.48/106.83 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40132, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.83 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, clause( 40129, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 106.48/106.83 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 106.48/106.83 ] )
% 106.48/106.83 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Y, Z ) )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 106.48/106.83 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 106.48/106.83 , clause( 40132, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 106.48/106.83 ), 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40137, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.83 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 106.48/106.83 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40143, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.83 , Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 , clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 106.48/106.83 , 0, clause( 40137, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 106.48/106.83 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 106.48/106.83 ] )
% 106.48/106.83 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.83 :=( Y, Y ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 30, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 106.48/106.83 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 106.48/106.83 , clause( 40143, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 106.48/106.83 ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40149, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40152, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 106.48/106.83 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, clause( 40149, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 106.48/106.83 Y, X ) ) ) ] )
% 106.48/106.83 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.83 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40153, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.83 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 , clause( 40152, [ =( 'greatest_lower_bound'( X, Y ),
% 106.48/106.83 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 106.48/106.83 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 , clause( 40153, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 106.48/106.83 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40155, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40156, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 106.48/106.83 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 106.48/106.83 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, clause( 40155, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 X, Y ) ) ) ] )
% 106.48/106.83 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 106.48/106.83 ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40157, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 106.48/106.83 , clause( 40156, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 106.48/106.83 , clause( 40157, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40159, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40162, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.83 'least_upper_bound'( X, Y ), X ) ) ] )
% 106.48/106.83 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, clause( 40159, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 X, Y ) ) ) ] )
% 106.48/106.83 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.83 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40163, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 106.48/106.83 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.83 , clause( 40162, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.83 'least_upper_bound'( X, Y ), X ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 106.48/106.83 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.83 , clause( 40163, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 106.48/106.83 , 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40164, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40165, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , 0, clause( 40164, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 X, Y ) ) ) ] )
% 106.48/106.83 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40168, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 106.48/106.83 ), X ) ] )
% 106.48/106.83 , clause( 40165, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 106.48/106.83 , X ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 , clause( 40168, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 106.48/106.83 ) ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40169, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40170, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 106.48/106.83 ) ] )
% 106.48/106.83 , 0, clause( 40169, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 X, Y ) ) ) ] )
% 106.48/106.83 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 106.48/106.83 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40173, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 106.48/106.83 ), X ) ] )
% 106.48/106.83 , clause( 40170, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 106.48/106.83 ), X ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 , clause( 40173, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 106.48/106.83 X ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40174, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 106.48/106.83 ) ) ) ] )
% 106.48/106.83 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40175, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 106.48/106.83 ) ] )
% 106.48/106.83 , 0, clause( 40174, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.83 Y, X ) ) ) ] )
% 106.48/106.83 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 106.48/106.83 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40178, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 106.48/106.83 ), X ) ] )
% 106.48/106.83 , clause( 40175, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 106.48/106.83 ), X ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 106.48/106.83 X ) ] )
% 106.48/106.83 , clause( 40178, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 106.48/106.83 X ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40180, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.83 , Y ) ) ] )
% 106.48/106.83 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40181, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.83 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 106.48/106.83 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.83 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 106.48/106.83 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, clause( 40180, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 106.48/106.83 , Y ), Y ) ) ] )
% 106.48/106.83 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 106.48/106.83 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 106.48/106.83 ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40182, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.83 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 , clause( 40181, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.83 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 106.48/106.83 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 'greatest_lower_bound'( Y, Z ) ) ] )
% 106.48/106.83 , clause( 40182, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.83 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40183, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 106.48/106.83 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40186, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 106.48/106.83 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 106.48/106.83 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 106.48/106.83 ) ] )
% 106.48/106.83 , 0, clause( 40183, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 106.48/106.83 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 106.48/106.83 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 106.48/106.83 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 106.48/106.83 , clause( 40186, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 106.48/106.83 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40201, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 106.48/106.83 , X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40202, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 106.48/106.83 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 106.48/106.83 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, clause( 40201, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 106.48/106.83 , Y ), X ) ) ] )
% 106.48/106.83 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 106.48/106.83 ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40203, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 106.48/106.83 , clause( 40202, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 106.48/106.83 , clause( 40203, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40204, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 106.48/106.83 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40206, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 106.48/106.83 ) ] )
% 106.48/106.83 , 0, clause( 40204, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40208, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 106.48/106.83 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 106.48/106.83 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, clause( 40206, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 106.48/106.83 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 106.48/106.83 'least_upper_bound'( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 40208, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 106.48/106.83 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40210, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 106.48/106.83 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40212, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 106.48/106.83 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 106.48/106.83 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , 0, clause( 40210, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 106.48/106.83 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40215, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 106.48/106.83 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.83 , clause( 40212, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 106.48/106.83 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 106.48/106.83 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.83 , clause( 40215, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 106.48/106.83 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40218, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 106.48/106.83 ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40221, [ =( multiply( inverse( identity ), X ), multiply( identity
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , 0, clause( 40218, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 106.48/106.83 ), Y ) ) ] )
% 106.48/106.83 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 106.48/106.83 inverse( identity ) ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40222, [ =( multiply( inverse( identity ), X ), X ) ] )
% 106.48/106.83 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , 0, clause( 40221, [ =( multiply( inverse( identity ), X ), multiply(
% 106.48/106.83 identity, X ) ) ] )
% 106.48/106.83 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.83 ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 106.48/106.83 , clause( 40222, [ =( multiply( inverse( identity ), X ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40225, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 106.48/106.83 Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 106.48/106.83 ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40230, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 106.48/106.83 multiply( X, Y ) ) ] )
% 106.48/106.83 , clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 106.48/106.83 , 0, clause( 40225, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 106.48/106.83 multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.83 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 106.48/106.83 multiply( Y, X ) ) ] )
% 106.48/106.83 , clause( 40230, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 106.48/106.83 multiply( X, Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40235, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 106.48/106.83 , clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40237, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.83 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 106.48/106.83 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, clause( 40235, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 106.48/106.83 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), T ) ), :=( Y, X
% 106.48/106.83 ), :=( Z, Y )] ), substitution( 1, [ :=( X, 'least_upper_bound'( X, Y )
% 106.48/106.83 ), :=( Y, Z ), :=( Z, T )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40238, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.83 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 106.48/106.83 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.83 , clause( 40237, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.83 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 106.48/106.83 ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.83 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 106.48/106.83 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.83 , clause( 40238, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.83 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 106.48/106.83 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40239, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 106.48/106.83 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40241, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , 0, clause( 40239, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40243, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 106.48/106.83 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 106.48/106.83 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, clause( 40241, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 106.48/106.83 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 106.48/106.83 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 40243, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40245, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 106.48/106.83 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40248, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 106.48/106.83 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 106.48/106.83 )
% 106.48/106.83 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , 0, clause( 40245, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 106.48/106.83 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40251, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 106.48/106.83 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 106.48/106.83 )
% 106.48/106.83 , clause( 40248, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X
% 106.48/106.83 ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 106.48/106.83 )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 106.48/106.83 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 106.48/106.83 )
% 106.48/106.83 , clause( 40251, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 106.48/106.83 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 106.48/106.83 )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40252, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 106.48/106.83 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40254, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 106.48/106.83 ) ] )
% 106.48/106.83 , 0, clause( 40252, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40256, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 106.48/106.83 'least_upper_bound'( Y, X ), Z ) ) ] )
% 106.48/106.83 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 106.48/106.83 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, clause( 40254, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 106.48/106.83 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 106.48/106.83 'least_upper_bound'( Z, X ), Y ) ) ] )
% 106.48/106.83 , clause( 40256, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 106.48/106.83 'least_upper_bound'( Y, X ), Z ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40258, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 106.48/106.83 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40259, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 106.48/106.83 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 106.48/106.83 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , 0, clause( 40258, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 106.48/106.83 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 115, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 106.48/106.83 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 106.48/106.83 , clause( 40259, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X )
% 106.48/106.83 , 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40264, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 106.48/106.83 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40265, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 106.48/106.83 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 106.48/106.83 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , 0, clause( 40264, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 106.48/106.83 identity ), :=( Y, Y ), :=( Z, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40267, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 106.48/106.83 'least_upper_bound'( identity, X ), Y ) ) ] )
% 106.48/106.83 , clause( 40265, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 106.48/106.83 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 106.48/106.83 'least_upper_bound'( identity, Y ), X ) ) ] )
% 106.48/106.83 , clause( 40267, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 106.48/106.83 'least_upper_bound'( identity, X ), Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40270, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 106.48/106.83 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40272, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 106.48/106.83 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , 0, clause( 40270, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.83 :=( Y, Y ), :=( Z, identity )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40274, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 106.48/106.83 'least_upper_bound'( X, identity ), Y ) ) ] )
% 106.48/106.83 , clause( 40272, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 106.48/106.83 'least_upper_bound'( Y, identity ), X ) ) ] )
% 106.48/106.83 , clause( 40274, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 106.48/106.83 'least_upper_bound'( X, identity ), Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40275, [ ~( =( inverse( 'least_upper_bound'( a, b ) ),
% 106.48/106.83 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ) ] )
% 106.48/106.83 , clause( 15, [ ~( =( 'greatest_lower_bound'( inverse( a ), inverse( b ) )
% 106.48/106.83 , inverse( 'least_upper_bound'( a, b ) ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40276, [ ~( =( inverse( 'least_upper_bound'( a, b ) ),
% 106.48/106.83 'greatest_lower_bound'( inverse( b ), inverse( a ) ) ) ) ] )
% 106.48/106.83 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , 0, clause( 40275, [ ~( =( inverse( 'least_upper_bound'( a, b ) ),
% 106.48/106.83 'greatest_lower_bound'( inverse( a ), inverse( b ) ) ) ) ] )
% 106.48/106.83 , 0, 6, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, inverse( b ) )] )
% 106.48/106.83 , substitution( 1, [] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40279, [ ~( =( 'greatest_lower_bound'( inverse( b ), inverse( a ) )
% 106.48/106.83 , inverse( 'least_upper_bound'( a, b ) ) ) ) ] )
% 106.48/106.83 , clause( 40276, [ ~( =( inverse( 'least_upper_bound'( a, b ) ),
% 106.48/106.83 'greatest_lower_bound'( inverse( b ), inverse( a ) ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 136, [ ~( =( 'greatest_lower_bound'( inverse( b ), inverse( a ) ),
% 106.48/106.83 inverse( 'least_upper_bound'( a, b ) ) ) ) ] )
% 106.48/106.83 , clause( 40279, [ ~( =( 'greatest_lower_bound'( inverse( b ), inverse( a )
% 106.48/106.83 ), inverse( 'least_upper_bound'( a, b ) ) ) ) ] )
% 106.48/106.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40281, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 106.48/106.83 , clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40282, [ =( multiply( X, Y ), 'least_upper_bound'(
% 106.48/106.83 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 106.48/106.83 ), multiply( X, Y ) ) ) ] )
% 106.48/106.83 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 106.48/106.83 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, clause( 40281, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.83 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 106.48/106.83 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 106.48/106.83 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( Z, Y ) ),
% 106.48/106.83 :=( Z, T )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40283, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 106.48/106.83 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 106.48/106.83 , Y ) ) ] )
% 106.48/106.83 , clause( 40282, [ =( multiply( X, Y ), 'least_upper_bound'(
% 106.48/106.83 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 106.48/106.83 ), multiply( X, Y ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 106.48/106.83 ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 140, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 106.48/106.83 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 106.48/106.83 , Y ) ) ] )
% 106.48/106.83 , clause( 40283, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 106.48/106.83 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 106.48/106.83 , Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40284, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 106.48/106.83 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40286, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 106.48/106.83 , X ) ) ] )
% 106.48/106.83 , 0, clause( 40284, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40288, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 106.48/106.83 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 106.48/106.83 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 106.48/106.83 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, clause( 40286, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 106.48/106.83 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 146, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 106.48/106.83 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 106.48/106.83 , clause( 40288, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 106.48/106.83 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 106.48/106.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40290, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 106.48/106.83 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40292, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 106.48/106.83 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , 0, clause( 40290, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.83 :=( Y, Y ), :=( Z, identity )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40294, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 106.48/106.83 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 106.48/106.83 , clause( 40292, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 106.48/106.83 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 150, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 106.48/106.83 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 106.48/106.83 , clause( 40294, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 106.48/106.83 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40296, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 106.48/106.83 identity ) ), Y ) ) ] )
% 106.48/106.83 , clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 106.48/106.83 multiply( Y, X ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40299, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 106.48/106.83 identity, X ) ) ] )
% 106.48/106.83 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , 0, clause( 40296, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 106.48/106.83 identity ) ), Y ) ) ] )
% 106.48/106.83 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 106.48/106.83 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40300, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 106.48/106.83 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , 0, clause( 40299, [ =( multiply( inverse( inverse( identity ) ), X ),
% 106.48/106.83 multiply( identity, X ) ) ] )
% 106.48/106.83 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.83 ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 155, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 106.48/106.83 , clause( 40300, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 106.48/106.83 )
% 106.48/106.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40302, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 106.48/106.83 , clause( 155, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40304, [ =( inverse( identity ), identity ) ] )
% 106.48/106.83 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , 0, clause( 40302, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 106.48/106.83 ] )
% 106.48/106.83 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 106.48/106.83 , [ :=( X, inverse( identity ) )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 161, [ =( inverse( identity ), identity ) ] )
% 106.48/106.83 , clause( 40304, [ =( inverse( identity ), identity ) ] )
% 106.48/106.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40307, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 106.48/106.83 Y ) ), Y ) ) ] )
% 106.48/106.83 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 106.48/106.83 , identity ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40310, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 106.48/106.83 identity, X ) ) ] )
% 106.48/106.83 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , 0, clause( 40307, [ =( multiply( X, identity ), multiply( multiply( X,
% 106.48/106.83 inverse( Y ) ), Y ) ) ] )
% 106.48/106.83 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 106.48/106.83 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40311, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 106.48/106.83 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , 0, clause( 40310, [ =( multiply( inverse( inverse( X ) ), identity ),
% 106.48/106.83 multiply( identity, X ) ) ] )
% 106.48/106.83 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.83 ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 167, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 106.48/106.83 , clause( 40311, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 106.48/106.83 )
% 106.48/106.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40314, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 106.48/106.83 ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40317, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , clause( 167, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 106.48/106.83 , 0, clause( 40314, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 106.48/106.83 ), Y ) ) ] )
% 106.48/106.83 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 106.48/106.83 inverse( X ) ) ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 106.48/106.83 ) ] )
% 106.48/106.83 , clause( 40317, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 106.48/106.83 Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40324, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 106.48/106.83 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40327, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 106.48/106.83 identity, Y ) ), 'least_upper_bound'( X, multiply( inverse( inverse( X )
% 106.48/106.83 ), Y ) ) ) ] )
% 106.48/106.83 , clause( 167, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 106.48/106.83 , 0, clause( 40324, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 106.48/106.83 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40337, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 106.48/106.83 identity, Y ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.83 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , 0, clause( 40327, [ =( multiply( inverse( inverse( X ) ),
% 106.48/106.83 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply(
% 106.48/106.83 inverse( inverse( X ) ), Y ) ) ) ] )
% 106.48/106.83 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40339, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.83 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.83 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , 0, clause( 40337, [ =( multiply( inverse( inverse( X ) ),
% 106.48/106.83 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply( X
% 106.48/106.83 , Y ) ) ) ] )
% 106.48/106.83 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 106.48/106.83 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40340, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 106.48/106.83 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 106.48/106.83 , clause( 40339, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.83 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 175, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 106.48/106.83 'least_upper_bound'( identity, Y ) ) ) ] )
% 106.48/106.83 , clause( 40340, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 106.48/106.83 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40341, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40344, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.83 , clause( 167, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 106.48/106.83 , 0, clause( 40341, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 106.48/106.83 ), Y ) ) ] )
% 106.48/106.83 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.83 :=( Y, identity )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 177, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.83 , clause( 40344, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40349, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40352, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 106.48/106.83 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.83 , 0, clause( 40349, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 106.48/106.83 ), Y ) ) ] )
% 106.48/106.83 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, inverse( X ) )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 184, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 106.48/106.83 , clause( 40352, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40355, [ =( X, multiply( X, identity ) ) ] )
% 106.48/106.83 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40358, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 106.48/106.83 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , 0, clause( 40355, [ =( X, multiply( X, identity ) ) ] )
% 106.48/106.83 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 106.48/106.83 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40359, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.83 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.83 , 0, clause( 40358, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 106.48/106.83 ] )
% 106.48/106.83 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.83 ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.83 , clause( 40359, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40362, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 106.48/106.83 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40363, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 106.48/106.83 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.83 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.83 , 0, clause( 40362, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.83 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.83 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.83 :=( Y, identity ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40365, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 106.48/106.83 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 106.48/106.83 , clause( 40363, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 106.48/106.83 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 106.48/106.83 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 106.48/106.83 , clause( 40365, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 106.48/106.83 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40368, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 106.48/106.83 Y ) ), Y ) ) ] )
% 106.48/106.83 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 106.48/106.83 , identity ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40370, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 106.48/106.83 inverse( Y ) ) ) ] )
% 106.48/106.83 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.83 , 0, clause( 40368, [ =( multiply( X, identity ), multiply( multiply( X,
% 106.48/106.83 inverse( Y ) ), Y ) ) ] )
% 106.48/106.83 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.83 :=( Y, inverse( Y ) )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40371, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 106.48/106.83 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.83 , 0, clause( 40370, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 106.48/106.83 ), inverse( Y ) ) ) ] )
% 106.48/106.83 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.83 :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40372, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 106.48/106.83 , clause( 40371, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 106.48/106.83 , clause( 40372, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40374, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 106.48/106.83 , clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40379, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 106.48/106.83 identity, inverse( Y ) ) ) ] )
% 106.48/106.83 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 106.48/106.83 ), identity ) ] )
% 106.48/106.83 , 0, clause( 40374, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 106.48/106.83 )
% 106.48/106.83 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.83 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40380, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 106.48/106.83 ) ) ] )
% 106.48/106.83 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.83 , 0, clause( 40379, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 106.48/106.83 multiply( identity, inverse( Y ) ) ) ] )
% 106.48/106.83 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 106.48/106.83 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 subsumption(
% 106.48/106.83 clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 106.48/106.83 ) ] )
% 106.48/106.83 , clause( 40380, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 106.48/106.83 Y ) ) ] )
% 106.48/106.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.83 )] ) ).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 eqswap(
% 106.48/106.83 clause( 40383, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 106.48/106.83 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.83 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 106.48/106.83 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.83
% 106.48/106.83
% 106.48/106.83 paramod(
% 106.48/106.83 clause( 40385, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 106.48/106.83 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 106.48/106.83 )
% 106.48/106.83 , clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 106.48/106.83 , 0, clause( 40383, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 106.48/106.84 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 106.48/106.84 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 204, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 106.48/106.84 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , clause( 40385, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 106.48/106.84 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 106.48/106.84 ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 106.48/106.84 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40388, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40392, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 106.48/106.84 inverse( multiply( X, Y ) ) ) ) ] )
% 106.48/106.84 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40388, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 106.48/106.84 ), X ) ) ] )
% 106.48/106.84 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40393, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 174, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40392, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 106.48/106.84 inverse( multiply( X, Y ) ) ) ) ] )
% 106.48/106.84 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 106.48/106.84 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40394, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 40393, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 106.48/106.84 ) ] )
% 106.48/106.84 , clause( 40394, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 106.48/106.84 X ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40395, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 106.48/106.84 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 106.48/106.84 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 106.48/106.84 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40398, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 106.48/106.84 Y, 'greatest_lower_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ) ] )
% 106.48/106.84 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 106.48/106.84 , X ) ) ] )
% 106.48/106.84 , 0, clause( 40395, [ =( 'greatest_lower_bound'( X, Z ),
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 106.48/106.84 , Z ) ), Z ) ) ] )
% 106.48/106.84 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X,
% 106.48/106.84 'least_upper_bound'( Z, Y ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 106.48/106.84 , X ), :=( Y, Z ), :=( Z, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40411, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 106.48/106.84 'greatest_lower_bound'( Y, X ), 'least_upper_bound'( Z, Y ) ) ) ] )
% 106.48/106.84 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 106.48/106.84 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 106.48/106.84 , 0, clause( 40398, [ =( 'greatest_lower_bound'( X, Y ),
% 106.48/106.84 'greatest_lower_bound'( Y, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 106.48/106.84 Z, Y ) ) ) ) ] )
% 106.48/106.84 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 106.48/106.84 'least_upper_bound'( Z, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 106.48/106.84 ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40412, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 106.48/106.84 , 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.84 , clause( 40411, [ =( 'greatest_lower_bound'( X, Y ),
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 106.48/106.84 'least_upper_bound'( Z, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 221, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 106.48/106.84 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 106.48/106.84 , clause( 40412, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 106.48/106.84 ), 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 106.48/106.84 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40414, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40419, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 106.48/106.84 inverse( multiply( X, identity ) ) ) ) ] )
% 106.48/106.84 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 106.48/106.84 , identity ) ) ] )
% 106.48/106.84 , 0, clause( 40414, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40420, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 106.48/106.84 inverse( X ) ) ) ] )
% 106.48/106.84 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.84 , 0, clause( 40419, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 106.48/106.84 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 223, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 106.48/106.84 inverse( X ) ) ) ] )
% 106.48/106.84 , clause( 40420, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 106.48/106.84 inverse( X ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40423, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.84 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.84 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 106.48/106.84 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40424, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 106.48/106.84 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 106.48/106.84 ) ] )
% 106.48/106.84 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40423, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.84 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 106.48/106.84 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, inverse( multiply( Y, X ) ) ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 224, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 106.48/106.84 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 106.48/106.84 ) ] )
% 106.48/106.84 , clause( 40424, [ =( multiply( X, 'greatest_lower_bound'( inverse(
% 106.48/106.84 multiply( Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply(
% 106.48/106.84 X, Z ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.84 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40429, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.84 , X ) ) ] )
% 106.48/106.84 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 106.48/106.84 , X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40432, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 221, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X )
% 106.48/106.84 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 106.48/106.84 , 0, clause( 40429, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 106.48/106.84 , Y ), X ) ) ] )
% 106.48/106.84 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 106.48/106.84 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 106.48/106.84 'least_upper_bound'( Z, X ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40433, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.84 , clause( 40432, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 241, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.84 , clause( 40433, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40434, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40437, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 106.48/106.84 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 106.48/106.84 , clause( 146, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 106.48/106.84 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 106.48/106.84 , 0, clause( 40434, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 106.48/106.84 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40440, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, X ) ) ) ] )
% 106.48/106.84 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40437, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.84 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 106.48/106.84 ] )
% 106.48/106.84 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 106.48/106.84 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 246, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 40440, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, X ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40441, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 106.48/106.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40442, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 106.48/106.84 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 246, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , 0, clause( 40441, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 106.48/106.84 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40445, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.84 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 106.48/106.84 , clause( 40442, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 106.48/106.84 Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 261, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 106.48/106.84 , clause( 40445, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.84 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40446, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40449, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 106.48/106.84 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 106.48/106.84 , clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 106.48/106.84 'least_upper_bound'( Z, X ), Y ) ) ] )
% 106.48/106.84 , 0, clause( 40446, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 106.48/106.84 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40452, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 106.48/106.84 'least_upper_bound'( Y, X ) ) ) ] )
% 106.48/106.84 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40449, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 106.48/106.84 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 106.48/106.84 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 106.48/106.84 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 285, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 106.48/106.84 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 40452, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 106.48/106.84 'least_upper_bound'( Y, X ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40453, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 106.48/106.84 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40454, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 106.48/106.84 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 285, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 106.48/106.84 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , 0, clause( 40453, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 106.48/106.84 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40457, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 106.48/106.84 'least_upper_bound'( Y, X ) ), identity ) ] )
% 106.48/106.84 , clause( 40454, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 106.48/106.84 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 300, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 106.48/106.84 'least_upper_bound'( X, Y ) ), identity ) ] )
% 106.48/106.84 , clause( 40457, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 106.48/106.84 'least_upper_bound'( Y, X ) ), identity ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40459, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 106.48/106.84 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.84 , clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 106.48/106.84 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40475, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 106.48/106.84 'least_upper_bound'( X, T ) ) ] )
% 106.48/106.84 , clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40459, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 106.48/106.84 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.84 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.84 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), Z ) ), :=( Z, T )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 427, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 106.48/106.84 'least_upper_bound'( X, T ) ) ] )
% 106.48/106.84 , clause( 40475, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 106.48/106.84 'least_upper_bound'( X, T ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 106.48/106.84 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40480, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 106.48/106.84 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 106.48/106.84 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40481, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 106.48/106.84 , clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40482, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 106.48/106.84 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 106.48/106.84 , clause( 40480, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 106.48/106.84 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , 0, clause( 40481, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, 'greatest_lower_bound'( identity, Y ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40483, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 106.48/106.84 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 106.48/106.84 , clause( 40482, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 106.48/106.84 Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 535, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 106.48/106.84 , clause( 40483, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 106.48/106.84 ), inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40485, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 106.48/106.84 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 106.48/106.84 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40504, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 106.48/106.84 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( multiply(
% 106.48/106.84 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 106.48/106.84 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 106.48/106.84 ), identity ) ] )
% 106.48/106.84 , 0, clause( 40485, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 106.48/106.84 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40506, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 106.48/106.84 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( inverse(
% 106.48/106.84 Y ), identity ) ) ] )
% 106.48/106.84 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40504, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 106.48/106.84 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 106.48/106.84 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 106.48/106.84 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40507, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 106.48/106.84 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.84 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40506, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 106.48/106.84 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 106.48/106.84 inverse( Y ), identity ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 540, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 106.48/106.84 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.84 , clause( 40507, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 106.48/106.84 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40512, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.84 , X ) ) ] )
% 106.48/106.84 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 106.48/106.84 , X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40513, [ =( X, 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 106.48/106.84 , clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 106.48/106.84 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , 0, clause( 40512, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 106.48/106.84 , Y ), X ) ) ] )
% 106.48/106.84 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40514, [ =( 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 106.48/106.84 , clause( 40513, [ =( X, 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 552, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 106.48/106.84 identity, Y ) ), X ), X ) ] )
% 106.48/106.84 , clause( 40514, [ =( 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40516, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 106.48/106.84 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 186, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 106.48/106.84 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40518, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 106.48/106.84 multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 106.48/106.84 , X ) ] )
% 106.48/106.84 , 0, clause( 40516, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 106.48/106.84 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 106.48/106.84 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40519, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 106.48/106.84 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.84 , 0, clause( 40518, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 106.48/106.84 , multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40520, [ =( 'greatest_lower_bound'( X, multiply( X,
% 106.48/106.84 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 106.48/106.84 , clause( 40519, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 106.48/106.84 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 554, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 106.48/106.84 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 106.48/106.84 , clause( 40520, [ =( 'greatest_lower_bound'( X, multiply( X,
% 106.48/106.84 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40521, [ =( X, 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 106.48/106.84 , clause( 552, [ =( 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40522, [ =( X, 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 106.48/106.84 , clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 106.48/106.84 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 106.48/106.84 , 0, clause( 40521, [ =( X, 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 106.48/106.84 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 106.48/106.84 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40525, [ =( 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 106.48/106.84 , clause( 40522, [ =( X, 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 565, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 106.48/106.84 Y, identity ) ), X ), X ) ] )
% 106.48/106.84 , clause( 40525, [ =( 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40527, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.84 'least_upper_bound'( X, Y ), X ) ) ] )
% 106.48/106.84 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 106.48/106.84 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40529, [ =( 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 106.48/106.84 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , clause( 565, [ =( 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 106.48/106.84 , 0, clause( 40527, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.84 'least_upper_bound'( X, Y ), X ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, multiply( X, 'greatest_lower_bound'( Y, identity ) ) ), :=( Y, X )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40530, [ =( X, 'least_upper_bound'( X, multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , clause( 565, [ =( 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 106.48/106.84 , 0, clause( 40529, [ =( 'least_upper_bound'( multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 106.48/106.84 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40532, [ =( 'least_upper_bound'( X, multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 106.48/106.84 , clause( 40530, [ =( X, 'least_upper_bound'( X, multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 594, [ =( 'least_upper_bound'( X, multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 106.48/106.84 , clause( 40532, [ =( 'least_upper_bound'( X, multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40535, [ =( X, 'least_upper_bound'( X, multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , clause( 594, [ =( 'least_upper_bound'( X, multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40536, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 identity ) ) ] )
% 106.48/106.84 , clause( 261, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 106.48/106.84 , 0, clause( 40535, [ =( X, 'least_upper_bound'( X, multiply( X,
% 106.48/106.84 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 106.48/106.84 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 106.48/106.84 ) ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40537, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , clause( 40536, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 identity ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 603, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , clause( 40537, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40539, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 106.48/106.84 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , clause( 554, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 106.48/106.84 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40540, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 106.48/106.84 identity ) ) ] )
% 106.48/106.84 , clause( 300, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 106.48/106.84 'least_upper_bound'( X, Y ) ), identity ) ] )
% 106.48/106.84 , 0, clause( 40539, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 106.48/106.84 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 106.48/106.84 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 106.48/106.84 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 106.48/106.84 , :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40541, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 40540, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 106.48/106.84 identity ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 622, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 40541, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40542, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.84 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 175, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 106.48/106.84 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40543, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 106.48/106.84 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 106.48/106.84 , clause( 40542, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.84 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , 0, clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 106.48/106.84 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 846, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 106.48/106.84 'least_upper_bound'( Y, identity ) ) ) ] )
% 106.48/106.84 , clause( 40543, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 106.48/106.84 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40546, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.84 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 175, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 106.48/106.84 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40565, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 106.48/106.84 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 106.48/106.84 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 106.48/106.84 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 106.48/106.84 ), identity ) ] )
% 106.48/106.84 , 0, clause( 40546, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 106.48/106.84 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40567, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 106.48/106.84 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y ),
% 106.48/106.84 identity ) ) ] )
% 106.48/106.84 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40565, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 106.48/106.84 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 106.48/106.84 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 106.48/106.84 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40568, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 106.48/106.84 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.84 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40567, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 106.48/106.84 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y
% 106.48/106.84 ), identity ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 868, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 106.48/106.84 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.84 , clause( 40568, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity
% 106.48/106.84 , Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40572, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.84 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 175, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 106.48/106.84 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40574, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.84 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 106.48/106.84 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 106.48/106.84 ) ] )
% 106.48/106.84 , 0, clause( 40572, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 106.48/106.84 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 106.48/106.84 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 877, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.84 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 106.48/106.84 , clause( 40574, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.84 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40582, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 106.48/106.84 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 106.48/106.84 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 106.48/106.84 'least_upper_bound'( identity, Y ), X ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40595, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 106.48/106.84 identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply( identity,
% 106.48/106.84 X ), Y ) ) ) ] )
% 106.48/106.84 , clause( 846, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 106.48/106.84 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 106.48/106.84 , 0, clause( 40582, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 106.48/106.84 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 106.48/106.84 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40598, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 106.48/106.84 identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.84 , 0, clause( 40595, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 106.48/106.84 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply(
% 106.48/106.84 identity, X ), Y ) ) ) ] )
% 106.48/106.84 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40600, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 106.48/106.84 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.84 , 0, clause( 40598, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 106.48/106.84 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 106.48/106.84 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40601, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 106.48/106.84 'least_upper_bound'( X, identity ), Y ) ) ] )
% 106.48/106.84 , clause( 40600, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 106.48/106.84 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 1204, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 106.48/106.84 'least_upper_bound'( X, identity ), Y ) ) ] )
% 106.48/106.84 , clause( 40601, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 106.48/106.84 'least_upper_bound'( X, identity ), Y ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40602, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 106.48/106.84 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 106.48/106.84 , clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 106.48/106.84 'least_upper_bound'( Y, identity ), X ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40603, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40604, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 106.48/106.84 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 106.48/106.84 , clause( 40602, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 106.48/106.84 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 106.48/106.84 , 0, clause( 40603, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 106.48/106.84 ), X ) ) ] )
% 106.48/106.84 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40605, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 106.48/106.84 ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 106.48/106.84 , clause( 40604, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 106.48/106.84 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 106.48/106.84 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 106.48/106.84 , clause( 40605, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 106.48/106.84 X ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40606, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 106.48/106.84 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 106.48/106.84 , clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 106.48/106.84 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40607, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 106.48/106.84 , clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40608, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 106.48/106.84 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 106.48/106.84 ] )
% 106.48/106.84 , clause( 40606, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 106.48/106.84 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 106.48/106.84 , 0, clause( 40607, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40609, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 106.48/106.84 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 40608, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 106.48/106.84 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 106.48/106.84 ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 1611, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 106.48/106.84 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 40609, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 106.48/106.84 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40611, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40613, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 106.48/106.84 identity, X ), inverse( 'least_upper_bound'( inverse( X ), identity ) ) )
% 106.48/106.84 ) ] )
% 106.48/106.84 , clause( 868, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 106.48/106.84 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.84 , 0, clause( 40611, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40614, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 106.48/106.84 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40613, [ =( inverse( inverse( X ) ), multiply(
% 106.48/106.84 'least_upper_bound'( identity, X ), inverse( 'least_upper_bound'( inverse(
% 106.48/106.84 X ), identity ) ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40615, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 106.48/106.84 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , clause( 40614, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 106.48/106.84 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 2172, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 106.48/106.84 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , clause( 40615, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 106.48/106.84 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40617, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 106.48/106.84 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 106.48/106.84 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40620, [ =( multiply( inverse( multiply( X, Y ) ),
% 106.48/106.84 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 106.48/106.84 inverse( Y ), identity ) ) ] )
% 106.48/106.84 , clause( 200, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40617, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y
% 106.48/106.84 , X ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity )
% 106.48/106.84 ) ] )
% 106.48/106.84 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 2189, [ =( multiply( inverse( multiply( X, Y ) ),
% 106.48/106.84 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 106.48/106.84 inverse( Y ), identity ) ) ] )
% 106.48/106.84 , clause( 40620, [ =( multiply( inverse( multiply( X, Y ) ),
% 106.48/106.84 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 106.48/106.84 inverse( Y ), identity ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40623, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40625, [ =( inverse( inverse( X ) ), multiply(
% 106.48/106.84 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 106.48/106.84 inverse( X ), identity ) ) ) ) ] )
% 106.48/106.84 , clause( 540, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 106.48/106.84 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.84 , 0, clause( 40623, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40626, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40625, [ =( inverse( inverse( X ) ), multiply(
% 106.48/106.84 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 106.48/106.84 inverse( X ), identity ) ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40627, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , clause( 40626, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 2195, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , clause( 40627, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40629, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 106.48/106.84 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.84 , clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 106.48/106.84 'greatest_lower_bound'( Y, Z ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40632, [ =( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , clause( 622, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40629, [ =( 'greatest_lower_bound'( Y, Z ),
% 106.48/106.84 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 106.48/106.84 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 106.48/106.84 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 106.48/106.84 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40637, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 106.48/106.84 , clause( 40632, [ =( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 2636, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 106.48/106.84 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 106.48/106.84 , clause( 40637, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40639, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 106.48/106.84 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 106.48/106.84 , clause( 150, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 106.48/106.84 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40644, [ =( multiply( 'greatest_lower_bound'(
% 106.48/106.84 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 106.48/106.84 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 106.48/106.84 , identity ) ) ) ) ] )
% 106.48/106.84 , clause( 2195, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40639, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 106.48/106.84 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 106.48/106.84 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40645, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 106.48/106.84 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 106.48/106.84 , identity ) ) ) ) ] )
% 106.48/106.84 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 106.48/106.84 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.84 , 0, clause( 40644, [ =( multiply( 'greatest_lower_bound'(
% 106.48/106.84 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 106.48/106.84 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 106.48/106.84 , identity ) ) ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 106.48/106.84 1, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40646, [ =( X, 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 106.48/106.84 , clause( 2195, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40645, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 106.48/106.84 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 106.48/106.84 , identity ) ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40647, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , clause( 40646, [ =( X, 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , clause( 40647, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40649, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.84 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 106.48/106.84 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40651, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 106.48/106.84 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 106.48/106.84 , clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40649, [ =( 'greatest_lower_bound'( X, Y ),
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 106.48/106.84 'least_upper_bound'( Y, Z ) ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 106.48/106.84 :=( Z, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40652, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 106.48/106.84 , clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40651, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 106.48/106.84 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40654, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 106.48/106.84 , clause( 40652, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 106.48/106.84 , clause( 40654, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 106.48/106.84 )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40657, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 206, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40660, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 106.48/106.84 multiply( X, inverse( 'least_upper_bound'( identity, multiply( Y, X ) ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 115, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 106.48/106.84 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 106.48/106.84 , 0, clause( 40657, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, 'least_upper_bound'( inverse( X ), Y ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40661, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 106.48/106.84 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 106.48/106.84 ) ] )
% 106.48/106.84 , clause( 40660, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 106.48/106.84 multiply( X, inverse( 'least_upper_bound'( identity, multiply( Y, X ) ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 3166, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 106.48/106.84 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 106.48/106.84 ) ] )
% 106.48/106.84 , clause( 40661, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 106.48/106.84 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 106.48/106.84 ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40663, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 106.48/106.84 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 106.48/106.84 , clause( 1204, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 106.48/106.84 'least_upper_bound'( X, identity ), Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40669, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 106.48/106.84 identity ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 inverse( X ), identity ) ), X ) ) ] )
% 106.48/106.84 , clause( 2172, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 106.48/106.84 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40663, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 106.48/106.84 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 106.48/106.84 , 0, 18, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 106.48/106.84 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), :=( Y,
% 106.48/106.84 'least_upper_bound'( identity, X ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40670, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 106.48/106.84 'least_upper_bound'( inverse( X ), identity ) ) ), 'least_upper_bound'(
% 106.48/106.84 inverse( 'least_upper_bound'( inverse( X ), identity ) ), X ) ) ] )
% 106.48/106.84 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 106.48/106.84 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.84 , 0, clause( 40669, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 106.48/106.84 identity ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 inverse( X ), identity ) ), X ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 106.48/106.84 1, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40671, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 inverse( X ), identity ) ), X ) ) ] )
% 106.48/106.84 , clause( 2172, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 106.48/106.84 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40670, [ =( multiply( 'least_upper_bound'( identity, X ),
% 106.48/106.84 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ),
% 106.48/106.84 'least_upper_bound'( inverse( 'least_upper_bound'( inverse( X ), identity
% 106.48/106.84 ) ), X ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40672, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 inverse( X ), identity ) ), X ), X ) ] )
% 106.48/106.84 , clause( 40671, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 inverse( X ), identity ) ), X ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 inverse( X ), identity ) ), X ), X ) ] )
% 106.48/106.84 , clause( 40672, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 inverse( X ), identity ) ), X ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40674, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 inverse( X ), identity ) ), X ) ) ] )
% 106.48/106.84 , clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 inverse( X ), identity ) ), X ), X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40675, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( X, identity ) ), inverse( X ) ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40674, [ =( X, 'least_upper_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( inverse( X ), identity ) ), X ) ) ] )
% 106.48/106.84 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 106.48/106.84 X ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40676, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 106.48/106.84 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.84 , clause( 40675, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( X, identity ) ), inverse( X ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 106.48/106.84 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.84 , clause( 40676, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 106.48/106.84 , identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40678, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 106.48/106.84 , X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40679, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 106.48/106.84 inverse( X ) ) ) ] )
% 106.48/106.84 , clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 106.48/106.84 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.84 , 0, clause( 40678, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 106.48/106.84 X, Y ) ) ) ] )
% 106.48/106.84 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 106.48/106.84 inverse( 'least_upper_bound'( X, identity ) ) ), :=( Y, inverse( X ) )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40680, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 106.48/106.84 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , clause( 40679, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 106.48/106.84 inverse( X ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 106.48/106.84 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , clause( 40680, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 X, identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X,
% 106.48/106.84 identity ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40682, [ =( multiply( X, Z ), 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), Z ), T
% 106.48/106.84 ), multiply( X, Z ) ) ) ] )
% 106.48/106.84 , clause( 140, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 106.48/106.84 , Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40684, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 106.48/106.84 X ) ), Z ), identity ) ) ] )
% 106.48/106.84 , clause( 184, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 106.48/106.84 , 0, clause( 40682, [ =( multiply( X, Z ), 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), Z ), T
% 106.48/106.84 ), multiply( X, Z ) ) ) ] )
% 106.48/106.84 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, Y ), :=( Z, inverse( X ) ), :=( T, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40686, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.84 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 106.48/106.84 ) ] )
% 106.48/106.84 , clause( 184, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 106.48/106.84 , 0, clause( 40684, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 106.48/106.84 X ) ), Z ), identity ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40688, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 106.48/106.84 ) ] )
% 106.48/106.84 , clause( 40686, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.84 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 106.48/106.84 ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 3974, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 106.48/106.84 ) ] )
% 106.48/106.84 , clause( 40688, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 106.48/106.84 ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 106.48/106.84 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40692, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 106.48/106.84 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 106.48/106.84 ) ] )
% 106.48/106.84 , clause( 3974, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 106.48/106.84 ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40693, [ =( identity, 'least_upper_bound'( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 106.48/106.84 , clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 106.48/106.84 )
% 106.48/106.84 , 0, clause( 40692, [ =( identity, 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 106.48/106.84 X ) ), Z ), identity ) ) ] )
% 106.48/106.84 , 0, 3, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'( X, Y )
% 106.48/106.84 , inverse( X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 106.48/106.84 Y ), :=( Z, 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse(
% 106.48/106.84 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) )
% 106.48/106.84 , Z ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40695, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 106.48/106.84 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 106.48/106.84 , clause( 40693, [ =( identity, 'least_upper_bound'( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 106.48/106.84 , Y ), inverse( X ) ), identity ), identity ) ] )
% 106.48/106.84 , clause( 40695, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 106.48/106.84 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40698, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 106.48/106.84 inverse( X ) ) ) ] )
% 106.48/106.84 , clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 X, identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X,
% 106.48/106.84 identity ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40703, [ =( inverse( 'least_upper_bound'( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 106.48/106.84 , clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 106.48/106.84 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 106.48/106.84 , 0, clause( 40698, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 106.48/106.84 inverse( X ) ) ) ] )
% 106.48/106.84 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40704, [ =( inverse( identity ), 'greatest_lower_bound'( inverse(
% 106.48/106.84 identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 106.48/106.84 ) ) ) ) ) ] )
% 106.48/106.84 , clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 106.48/106.84 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 106.48/106.84 , 0, clause( 40703, [ =( inverse( 'least_upper_bound'( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40709, [ =( inverse( identity ), 'greatest_lower_bound'( identity,
% 106.48/106.84 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , clause( 161, [ =( inverse( identity ), identity ) ] )
% 106.48/106.84 , 0, clause( 40704, [ =( inverse( identity ), 'greatest_lower_bound'(
% 106.48/106.84 inverse( identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ),
% 106.48/106.84 inverse( X ) ) ) ) ) ] )
% 106.48/106.84 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40710, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 106.48/106.84 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 106.48/106.84 , clause( 161, [ =( inverse( identity ), identity ) ] )
% 106.48/106.84 , 0, clause( 40709, [ =( inverse( identity ), 'greatest_lower_bound'(
% 106.48/106.84 identity, inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40713, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 106.48/106.84 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 106.48/106.84 , clause( 223, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 106.48/106.84 inverse( X ) ) ) ] )
% 106.48/106.84 , 0, clause( 40710, [ =( identity, 'greatest_lower_bound'( identity,
% 106.48/106.84 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 106.48/106.84 X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40714, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 106.48/106.84 , clause( 40713, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 106.48/106.84 X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 106.48/106.84 , clause( 40714, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 106.48/106.84 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40716, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 106.48/106.84 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 106.48/106.84 , clause( 535, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 106.48/106.84 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40721, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 106.48/106.84 multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 106.48/106.84 identity ) ) ) ] )
% 106.48/106.84 , clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 106.48/106.84 , 0, clause( 40716, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 106.48/106.84 X, Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 106.48/106.84 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) )
% 106.48/106.84 ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40722, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 106.48/106.84 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 106.48/106.84 identity ) ) ) ] )
% 106.48/106.84 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 106.48/106.84 ), Z ) ) ] )
% 106.48/106.84 , 0, clause( 40721, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 106.48/106.84 X, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 106.48/106.84 identity ) ) ) ] )
% 106.48/106.84 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40723, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 106.48/106.84 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 161, [ =( inverse( identity ), identity ) ] )
% 106.48/106.84 , 0, clause( 40722, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 106.48/106.84 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 106.48/106.84 identity ) ) ) ] )
% 106.48/106.84 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 106.48/106.84 :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40724, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 106.48/106.84 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 106.48/106.84 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.84 , 0, clause( 40723, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 106.48/106.84 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, multiply(
% 106.48/106.84 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) )] ),
% 106.48/106.84 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40725, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 106.48/106.84 , clause( 40724, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X,
% 106.48/106.84 Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 4807, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 106.48/106.84 , clause( 40725, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y )
% 106.48/106.84 , inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 106.48/106.84 permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40727, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 106.48/106.84 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 106.48/106.84 , clause( 4807, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X )
% 106.48/106.84 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40729, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 106.48/106.84 , clause( 184, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 106.48/106.84 , 0, clause( 40727, [ =( X, 'greatest_lower_bound'( X, multiply( multiply(
% 106.48/106.84 X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 106.48/106.84 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40730, [ =( X, 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 106.48/106.84 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.84 , 0, clause( 40729, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 106.48/106.84 , 0, 4, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( inverse(
% 106.48/106.84 X ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40731, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 106.48/106.84 , clause( 40730, [ =( X, 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 4937, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 106.48/106.84 , clause( 40731, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40733, [ =( 'greatest_lower_bound'( Y, X ), 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 106.48/106.84 , clause( 241, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40737, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 inverse( X ), Y ) ), X ), 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.84 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ) ] )
% 106.48/106.84 , clause( 4937, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40733, [ =( 'greatest_lower_bound'( Y, X ),
% 106.48/106.84 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 106.48/106.84 'greatest_lower_bound'( Y, X ) ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40739, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 inverse( X ), Y ) ), X ), X ) ] )
% 106.48/106.84 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 106.48/106.84 , X ) ] )
% 106.48/106.84 , 0, clause( 40737, [ =( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ), X ), 'least_upper_bound'( X
% 106.48/106.84 , 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( inverse( X ),
% 106.48/106.84 Y ) ), X ) ) ) ] )
% 106.48/106.84 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) )] ), substitution( 1, [ :=(
% 106.48/106.84 X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 4954, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 inverse( X ), Y ) ), X ), X ) ] )
% 106.48/106.84 , clause( 40739, [ =( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40741, [ =( X, 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 106.48/106.84 , clause( 4937, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40742, [ =( X, 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 106.48/106.84 , clause( 246, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , 0, clause( 40741, [ =( X, 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 106.48/106.84 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 106.48/106.84 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40748, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 106.48/106.84 , clause( 40742, [ =( X, 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 4964, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 106.48/106.84 , clause( 40748, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40752, [ =( X, 'greatest_lower_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 106.48/106.84 , clause( 4954, [ =( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40753, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40752, [ =( X, 'greatest_lower_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 106.48/106.84 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 106.48/106.84 X ) ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40754, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.84 , clause( 40753, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 4975, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.84 , clause( 40754, [ =( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40756, [ =( X, 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 106.48/106.84 , clause( 4964, [ =( 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40757, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40756, [ =( X, 'greatest_lower_bound'( X, inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 106.48/106.84 X ) ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40758, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 106.48/106.84 , clause( 40757, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 5005, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 106.48/106.84 , clause( 40758, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40760, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 106.48/106.84 , X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40761, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.84 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 106.48/106.84 Y ) ) ) ] )
% 106.48/106.84 , clause( 5005, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 106.48/106.84 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 106.48/106.84 , 0, clause( 40760, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 106.48/106.84 Y, X ) ) ) ] )
% 106.48/106.84 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40762, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 106.48/106.84 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 40761, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.84 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 106.48/106.84 Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 5027, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 106.48/106.84 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 106.48/106.84 , clause( 40762, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40764, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 106.48/106.84 , X ) ) ] )
% 106.48/106.84 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 106.48/106.84 , X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40765, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.84 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , clause( 4975, [ =( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.84 , 0, clause( 40764, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 106.48/106.84 , Y ), X ) ) ] )
% 106.48/106.84 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( X ) )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40766, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , clause( 40765, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.84 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 5053, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , clause( 40766, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40768, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.84 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , clause( 5053, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 106.48/106.84 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40772, [ =( inverse( 'greatest_lower_bound'( 'least_upper_bound'( X
% 106.48/106.84 , Y ), Y ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y ) )
% 106.48/106.84 , inverse( Y ) ) ) ] )
% 106.48/106.84 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 106.48/106.84 , X ) ] )
% 106.48/106.84 , 0, clause( 40768, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 106.48/106.84 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 106.48/106.84 ) ) ) ) ] )
% 106.48/106.84 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40773, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 106.48/106.84 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 106.48/106.84 , X ) ] )
% 106.48/106.84 , 0, clause( 40772, [ =( inverse( 'greatest_lower_bound'(
% 106.48/106.84 'least_upper_bound'( X, Y ), Y ) ), 'least_upper_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40775, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 106.48/106.84 ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.84 , clause( 40773, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 5400, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 106.48/106.84 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 106.48/106.84 , clause( 40775, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 106.48/106.84 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40778, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 106.48/106.84 , clause( 5400, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 106.48/106.84 Y ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40780, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40778, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 106.48/106.84 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 106.48/106.84 :=( Y, inverse( X ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40781, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 106.48/106.84 , inverse( X ) ) ), X ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40780, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 106.48/106.84 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40783, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 106.48/106.84 inverse( X ) ) ), X ), X ) ] )
% 106.48/106.84 , clause( 40781, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 Y, inverse( X ) ) ), X ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 5418, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 106.48/106.84 inverse( X ) ) ), X ), X ) ] )
% 106.48/106.84 , clause( 40783, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 106.48/106.84 , inverse( X ) ) ), X ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40786, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.84 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 106.48/106.84 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 106.48/106.84 , clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 106.48/106.84 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40790, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 106.48/106.84 inverse( Y ) ) ), Y ), 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 106.48/106.84 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 106.48/106.84 , clause( 5418, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 106.48/106.84 inverse( X ) ) ), X ), X ) ] )
% 106.48/106.84 , 0, clause( 40786, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 106.48/106.84 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 106.48/106.84 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 106.48/106.84 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y ),
% 106.48/106.84 :=( Z, Z ), :=( T, T )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40791, [ =( Y, 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 106.48/106.84 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 106.48/106.84 , clause( 5418, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 106.48/106.84 inverse( X ) ) ), X ), X ) ] )
% 106.48/106.84 , 0, clause( 40790, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 X, inverse( Y ) ) ), Y ), 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 106.48/106.84 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40794, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 106.48/106.84 T, inverse( X ) ) ) ) ) ] )
% 106.48/106.84 , clause( 427, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 106.48/106.84 'least_upper_bound'( X, T ) ) ] )
% 106.48/106.84 , 0, clause( 40791, [ =( Y, 'least_upper_bound'( 'least_upper_bound'(
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 106.48/106.84 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 106.48/106.84 inverse( 'least_upper_bound'( T, inverse( X ) ) ) )] ), substitution( 1
% 106.48/106.84 , [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40795, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 106.48/106.84 , inverse( X ) ) ) ), X ) ] )
% 106.48/106.84 , clause( 40794, [ =( X, 'least_upper_bound'( X, inverse(
% 106.48/106.84 'least_upper_bound'( T, inverse( X ) ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 5426, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 106.48/106.84 , inverse( Y ) ) ) ), Y ) ] )
% 106.48/106.84 , clause( 40795, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 106.48/106.84 Y, inverse( X ) ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40797, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 106.48/106.84 , X ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40798, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 106.48/106.84 , Y ) ) ] )
% 106.48/106.84 , clause( 5418, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 106.48/106.84 inverse( X ) ) ), X ), X ) ] )
% 106.48/106.84 , 0, clause( 40797, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 106.48/106.84 X, Y ) ) ) ] )
% 106.48/106.84 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40799, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 106.48/106.84 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 40798, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 106.48/106.84 , Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 5446, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 106.48/106.84 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 40799, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40801, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 106.48/106.84 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 106.48/106.84 , clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 106.48/106.84 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40804, [ =( inverse( inverse( X ) ), multiply( inverse(
% 106.48/106.84 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 106.48/106.84 Y, X ), identity ) ) ) ] )
% 106.48/106.84 , clause( 191, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 106.48/106.84 , 0, clause( 40801, [ =( inverse( Y ), multiply( inverse(
% 106.48/106.84 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 106.48/106.84 identity ) ) ) ] )
% 106.48/106.84 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40805, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 106.48/106.84 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40804, [ =( inverse( inverse( X ) ), multiply( inverse(
% 106.48/106.84 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 106.48/106.84 Y, X ), identity ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40806, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 106.48/106.84 ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 106.48/106.84 , clause( 40805, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 106.48/106.84 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 12255, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 106.48/106.84 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 106.48/106.84 , clause( 40806, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 106.48/106.84 ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40808, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 106.48/106.84 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , clause( 877, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 106.48/106.84 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40815, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 106.48/106.84 , inverse( Y ) ) ) ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 106.48/106.84 Y ) ) ), 'least_upper_bound'( identity, 'least_upper_bound'( multiply( X
% 106.48/106.84 , Y ), identity ) ) ) ) ] )
% 106.48/106.84 , clause( 12255, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 106.48/106.84 ) ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 106.48/106.84 , 0, clause( 40808, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 106.48/106.84 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 106.48/106.84 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y,
% 106.48/106.84 'least_upper_bound'( multiply( X, Y ), identity ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40816, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 106.48/106.84 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 106.48/106.84 X ) ) ), 'least_upper_bound'( 'least_upper_bound'( identity, multiply( Y
% 106.48/106.84 , X ) ), identity ) ) ) ] )
% 106.48/106.84 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.84 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.84 , 0, clause( 40815, [ =( 'least_upper_bound'( Y, inverse(
% 106.48/106.84 'least_upper_bound'( X, inverse( Y ) ) ) ), multiply( inverse(
% 106.48/106.84 'least_upper_bound'( X, inverse( Y ) ) ), 'least_upper_bound'( identity,
% 106.48/106.84 'least_upper_bound'( multiply( X, Y ), identity ) ) ) ) ] )
% 106.48/106.84 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) ),
% 106.48/106.84 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40817, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 106.48/106.84 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 106.48/106.84 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 106.48/106.84 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 106.48/106.84 'least_upper_bound'( X, Y ) ) ] )
% 106.48/106.84 , 0, clause( 40816, [ =( 'least_upper_bound'( X, inverse(
% 106.48/106.84 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 106.48/106.84 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'(
% 106.48/106.84 'least_upper_bound'( identity, multiply( Y, X ) ), identity ) ) ) ] )
% 106.48/106.84 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) )] )
% 106.48/106.84 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40818, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 106.48/106.84 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 106.48/106.84 , clause( 5426, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 106.48/106.84 X, inverse( Y ) ) ) ), Y ) ] )
% 106.48/106.84 , 0, clause( 40817, [ =( 'least_upper_bound'( X, inverse(
% 106.48/106.84 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 106.48/106.84 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( identity,
% 106.48/106.84 multiply( Y, X ) ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40819, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 106.48/106.84 ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 106.48/106.84 , clause( 40818, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 106.48/106.84 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 12269, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 106.48/106.84 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 106.48/106.84 , clause( 40819, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 106.48/106.84 ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40821, [ =( 'greatest_lower_bound'( identity, Y ),
% 106.48/106.84 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , clause( 2636, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 106.48/106.84 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40822, [ =( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 106.48/106.84 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , clause( 5446, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40821, [ =( 'greatest_lower_bound'( identity, Y ),
% 106.48/106.84 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 106.48/106.84 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 106.48/106.84 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40823, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ] )
% 106.48/106.84 , clause( 40822, [ =( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 106.48/106.84 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 38942, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ] )
% 106.48/106.84 , clause( 40823, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40825, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 106.48/106.84 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 106.48/106.84 ] )
% 106.48/106.84 , clause( 1611, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 106.48/106.84 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40832, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 106.48/106.84 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 106.48/106.84 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 106.48/106.84 , clause( 38942, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ] )
% 106.48/106.84 , 0, clause( 40825, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 106.48/106.84 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 106.48/106.84 , Y ) ) ) ) ] )
% 106.48/106.84 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 106.48/106.84 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 106.48/106.84 'greatest_lower_bound'( identity, X ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40833, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 106.48/106.84 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 106.48/106.84 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 106.48/106.84 , clause( 204, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 106.48/106.84 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , 0, clause( 40832, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 106.48/106.84 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 106.48/106.84 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 106.48/106.84 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 106.48/106.84 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40834, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 106.48/106.84 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 106.48/106.84 X ) ) ) ) ) ) ] )
% 106.48/106.84 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.84 , 0, clause( 40833, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 106.48/106.84 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 106.48/106.84 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 106.48/106.84 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 106.48/106.84 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40836, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 106.48/106.84 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40834, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 106.48/106.84 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 106.48/106.84 X ) ) ) ) ) ) ] )
% 106.48/106.84 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 106.48/106.84 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40837, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 106.48/106.84 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40836, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 106.48/106.84 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 106.48/106.84 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40842, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 106.48/106.84 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 106.48/106.84 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 106.48/106.84 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 106.48/106.84 , 0, clause( 40837, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 106.48/106.84 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 106.48/106.84 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 106.48/106.84 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 106.48/106.84 , [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40843, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 106.48/106.84 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 inverse( X ) ) ) ] )
% 106.48/106.84 , clause( 603, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , 0, clause( 40842, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 106.48/106.84 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 106.48/106.84 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40844, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , clause( 5027, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 106.48/106.84 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , 0, clause( 40843, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 106.48/106.84 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 106.48/106.84 inverse( X ) ) ) ] )
% 106.48/106.84 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 106.48/106.84 1, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 38961, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , clause( 40844, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40847, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 106.48/106.84 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 106.48/106.84 , clause( 12269, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 106.48/106.84 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40850, [ =( X, multiply( inverse( inverse( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ) ) ), 'least_upper_bound'( identity, multiply( identity, X )
% 106.48/106.84 ) ) ) ] )
% 106.48/106.84 , clause( 38961, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 106.48/106.84 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , 0, clause( 40847, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 106.48/106.84 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 106.48/106.84 identity ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40851, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40850, [ =( X, multiply( inverse( inverse(
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( identity
% 106.48/106.84 , multiply( identity, X ) ) ) ) ] )
% 106.48/106.84 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 106.48/106.84 , substitution( 1, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40852, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 106.48/106.84 , 0, clause( 40851, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 106.48/106.84 , 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 106.48/106.84 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40853, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( identity, X ) ), X ) ] )
% 106.48/106.84 , clause( 40852, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 39064, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( identity, X ) ), X ) ] )
% 106.48/106.84 , clause( 40853, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( identity, X ) ), X ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40855, [ =( 'greatest_lower_bound'( inverse( Y ), identity ),
% 106.48/106.84 multiply( inverse( multiply( X, Y ) ), 'greatest_lower_bound'( X,
% 106.48/106.84 multiply( X, Y ) ) ) ) ] )
% 106.48/106.84 , clause( 2189, [ =( multiply( inverse( multiply( X, Y ) ),
% 106.48/106.84 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 106.48/106.84 inverse( Y ), identity ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40860, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), identity ), multiply( inverse( multiply(
% 106.48/106.84 'greatest_lower_bound'( identity, X ), 'least_upper_bound'( identity, X )
% 106.48/106.84 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), X )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 39064, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( identity, X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40855, [ =( 'greatest_lower_bound'( inverse( Y ), identity ),
% 106.48/106.84 multiply( inverse( multiply( X, Y ) ), 'greatest_lower_bound'( X,
% 106.48/106.84 multiply( X, Y ) ) ) ) ] )
% 106.48/106.84 , 0, 20, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ), :=( Y, 'least_upper_bound'(
% 106.48/106.84 identity, X ) )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40861, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), identity ), multiply( inverse( X ),
% 106.48/106.84 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), X ) ) ) ]
% 106.48/106.84 )
% 106.48/106.84 , clause( 39064, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 106.48/106.84 'least_upper_bound'( identity, X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40860, [ =( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( identity, X ) ), identity ), multiply( inverse(
% 106.48/106.84 multiply( 'greatest_lower_bound'( identity, X ), 'least_upper_bound'(
% 106.48/106.84 identity, X ) ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 106.48/106.84 identity, X ), X ) ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40863, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), identity ), multiply( inverse( X ),
% 106.48/106.84 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , clause( 30, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 106.48/106.84 X ), 'greatest_lower_bound'( Y, X ) ) ] )
% 106.48/106.84 , 0, clause( 40861, [ =( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( identity, X ) ), identity ), multiply( inverse( X )
% 106.48/106.84 , 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), X ) ) )
% 106.48/106.84 ] )
% 106.48/106.84 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 106.48/106.84 substitution( 1, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40864, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), identity ), 'greatest_lower_bound'( inverse( X ),
% 106.48/106.84 identity ) ) ] )
% 106.48/106.84 , clause( 540, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 106.48/106.84 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 106.48/106.84 , 0, clause( 40863, [ =( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( identity, X ) ), identity ), multiply( inverse( X )
% 106.48/106.84 , 'greatest_lower_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40865, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 106.48/106.84 , clause( 622, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 106.48/106.84 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , 0, clause( 40864, [ =( 'greatest_lower_bound'( inverse(
% 106.48/106.84 'least_upper_bound'( identity, X ) ), identity ), 'greatest_lower_bound'(
% 106.48/106.84 inverse( X ), identity ) ) ] )
% 106.48/106.84 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40866, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 106.48/106.84 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , clause( 40865, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 39135, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 106.48/106.84 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , clause( 40866, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 106.48/106.84 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40868, [ =( 'greatest_lower_bound'( inverse( Y ), multiply( X, Z )
% 106.48/106.84 ), multiply( X, 'greatest_lower_bound'( inverse( multiply( Y, X ) ), Z )
% 106.48/106.84 ) ) ] )
% 106.48/106.84 , clause( 224, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 106.48/106.84 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 106.48/106.84 ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40871, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y,
% 106.48/106.84 identity ) ), multiply( Y, inverse( 'least_upper_bound'( identity,
% 106.48/106.84 multiply( X, Y ) ) ) ) ) ] )
% 106.48/106.84 , clause( 39135, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 106.48/106.84 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 106.48/106.84 , 0, clause( 40868, [ =( 'greatest_lower_bound'( inverse( Y ), multiply( X
% 106.48/106.84 , Z ) ), multiply( X, 'greatest_lower_bound'( inverse( multiply( Y, X ) )
% 106.48/106.84 , Z ) ) ) ] )
% 106.48/106.84 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 106.48/106.84 :=( X, Y ), :=( Y, X ), :=( Z, identity )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40872, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y,
% 106.48/106.84 identity ) ), inverse( 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 106.48/106.84 , clause( 3166, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 106.48/106.84 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 106.48/106.84 ) ] )
% 106.48/106.84 , 0, clause( 40871, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y
% 106.48/106.84 , identity ) ), multiply( Y, inverse( 'least_upper_bound'( identity,
% 106.48/106.84 multiply( X, Y ) ) ) ) ) ] )
% 106.48/106.84 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 106.48/106.84 :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40873, [ =( 'greatest_lower_bound'( inverse( X ), Y ), inverse(
% 106.48/106.84 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 106.48/106.84 , clause( 177, [ =( multiply( X, identity ), X ) ] )
% 106.48/106.84 , 0, clause( 40872, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y
% 106.48/106.84 , identity ) ), inverse( 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 106.48/106.84 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 106.48/106.84 :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40874, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 106.48/106.84 , clause( 40873, [ =( 'greatest_lower_bound'( inverse( X ), Y ), inverse(
% 106.48/106.84 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 39308, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 106.48/106.84 , clause( 40874, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40876, [ =( 'greatest_lower_bound'( inverse( Y ), X ), inverse(
% 106.48/106.84 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 106.48/106.84 , clause( 39308, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 paramod(
% 106.48/106.84 clause( 40880, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 106.48/106.84 inverse( 'least_upper_bound'( Y, X ) ) ) ] )
% 106.48/106.84 , clause( 185, [ =( inverse( inverse( X ) ), X ) ] )
% 106.48/106.84 , 0, clause( 40876, [ =( 'greatest_lower_bound'( inverse( Y ), X ), inverse(
% 106.48/106.84 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 106.48/106.84 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 106.48/106.84 Y ) ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 39948, [ =( 'greatest_lower_bound'( inverse( Y ), inverse( X ) ),
% 106.48/106.84 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , clause( 40880, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) )
% 106.48/106.84 , inverse( 'least_upper_bound'( Y, X ) ) ) ] )
% 106.48/106.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 106.48/106.84 )] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40883, [ =( inverse( 'least_upper_bound'( Y, X ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 106.48/106.84 , clause( 39948, [ =( 'greatest_lower_bound'( inverse( Y ), inverse( X ) )
% 106.48/106.84 , inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 eqswap(
% 106.48/106.84 clause( 40884, [ ~( =( inverse( 'least_upper_bound'( a, b ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( b ), inverse( a ) ) ) ) ] )
% 106.48/106.84 , clause( 136, [ ~( =( 'greatest_lower_bound'( inverse( b ), inverse( a ) )
% 106.48/106.84 , inverse( 'least_upper_bound'( a, b ) ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [] )).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 resolution(
% 106.48/106.84 clause( 40885, [] )
% 106.48/106.84 , clause( 40884, [ ~( =( inverse( 'least_upper_bound'( a, b ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( b ), inverse( a ) ) ) ) ] )
% 106.48/106.84 , 0, clause( 40883, [ =( inverse( 'least_upper_bound'( Y, X ) ),
% 106.48/106.84 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 106.48/106.84 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 106.48/106.84 ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 subsumption(
% 106.48/106.84 clause( 39951, [] )
% 106.48/106.84 , clause( 40885, [] )
% 106.48/106.84 , substitution( 0, [] ), permutation( 0, [] ) ).
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 end.
% 106.48/106.84
% 106.48/106.84 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 106.48/106.84
% 106.48/106.84 Memory use:
% 106.48/106.84
% 106.48/106.84 space for terms: 574403
% 106.48/106.84 space for clauses: 4178904
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 clauses generated: 30020592
% 106.48/106.84 clauses kept: 39952
% 106.48/106.84 clauses selected: 7171
% 106.48/106.84 clauses deleted: 3884
% 106.48/106.84 clauses inuse deleted: 1705
% 106.48/106.84
% 106.48/106.84 subsentry: 1275451
% 106.48/106.84 literals s-matched: 1273039
% 106.48/106.84 literals matched: 1272846
% 106.48/106.84 full subsumption: 0
% 106.48/106.84
% 106.48/106.84 checksum: 1499353892
% 106.48/106.84
% 106.48/106.84
% 106.48/106.84 Bliksem ended
%------------------------------------------------------------------------------